- Deprecated function: Use of "static" in callables is deprecated in Drupal\user\Entity\Role::postLoad() (line 172 of core/modules/user/src/Entity/Role.php).
Drupal\user\Entity\Role::postLoad(Object, Array) (Line: 423)
Drupal\Core\Entity\EntityStorageBase->postLoad(Array) (Line: 353)
Drupal\Core\Entity\EntityStorageBase->loadMultiple(Array) (Line: 16)
Drupal\user\RoleStorage->isPermissionInRoles('access site in maintenance mode', Array) (Line: 112)
Drupal\Core\Session\UserSession->hasPermission('access site in maintenance mode') (Line: 105)
Drupal\Core\Session\AccountProxy->hasPermission('access site in maintenance mode') (Line: 83)
Drupal\redirect\RedirectChecker->canRedirect(Object) (Line: 120)
Drupal\redirect\EventSubscriber\RedirectRequestSubscriber->onKernelRequestCheckRedirect(Object, 'kernel.request', Object)
call_user_func(Array, Object, 'kernel.request', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.request') (Line: 145)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-78f9e54a-8e6a-4062-b08b-9c65807c6de0') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-78f9e54a-8e6a-4062-b08b-9c65807c6de0') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-78f9e54a-8e6a-4062-b08b-9c65807c6de0') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-78f9e54a-8e6a-4062-b08b-9c65807c6de0') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-2ef7018a-f3ac-485c-bfba-7e531aa0741e') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-2ef7018a-f3ac-485c-bfba-7e531aa0741e') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-2ef7018a-f3ac-485c-bfba-7e531aa0741e') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-2ef7018a-f3ac-485c-bfba-7e531aa0741e') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-a9d8df26-8027-4f31-a197-94ac5e514ab4') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-a9d8df26-8027-4f31-a197-94ac5e514ab4') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-a9d8df26-8027-4f31-a197-94ac5e514ab4') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-a9d8df26-8027-4f31-a197-94ac5e514ab4') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-32ba52bd-22d2-4820-b431-7f175beb27a0') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-32ba52bd-22d2-4820-b431-7f175beb27a0') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'file') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-32ba52bd-22d2-4820-b431-7f175beb27a0') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('entity_query') (Line: 147)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 640)
Drupal\Core\Entity\EntityStorageBase->loadByProperties(Array) (Line: 63)
Drupal\Core\Entity\EntityRepository->loadEntityByUuid('file', 'insert-max_800_px-32ba52bd-22d2-4820-b431-7f175beb27a0') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('La <strong>entropía</strong> utiliza la siguiente función para el cálculo de la impureza de un conjunto de datos:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0186.png"></a>
En un escenario de clasificación binaria, esta expresión queda reducida a:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0187.png"></a>
O, expresando la probabilidad p1 en función de p0:
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0189.png"></a>
En el ejemplo que estamos viendo, la entropía tomaría el siguiente valor:
entropía = - p0 * log2(p0) - p1 * log2(p1) = - 3/5 * log2(3/5) - 2/5 * log2(2/5) = 0.9709
Podemos visualizar la distribución de la entropía en un escenario de clasificación binaria en función de la proporción de una de las clases con el siguiente código:
x = np.linspace(0.01, 0.99, 100)
y = - x * np.log2(x) - (1 - x) * np.log2(1 - x)
fig, ax = plt.subplots()
ax.plot(x, y)
ax.grid(color = "#EEEEEE", zorder = 0)
ax.set_xlabel("p")
ax.set_ylabel("Entropía")
plt.show()
<a class="colorbox insert-colorbox" data-colorbox-gallery="gallery-node" data-insert-class="" data-insert-type="image" href="/sites/default/files/2023-03/tutorial_ml_0188.png"></a>
Por supuesto, el valor máximo de la entropía se da cuando la proporción de ambas clases es la misma (0.5), caso en el que la entropía toma el valor 1.
Y, al igual que se comentó para el índice Gini, la entropía toma el valor 0 cuando la proporción de la clase considerada sea igual a 0 o a 1, casos en los que solo habrá muestras de una única clase.
Y, también en este caso, el valor máximo de la entropía depende del número de clases. Si tenemos cuatro clases, por ejemplo, este valor sería de:
- 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) - 0.25 * log2(0.25) = 2
', 'es') (Line: 118)
Drupal\filter\Element\ProcessedText::preRenderText(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 88)
__TwigTemplate_a7d6005c89ae729617b9a0c2bccb1776->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 46)
__TwigTemplate_804f7948456cfe20e11a34c43439c7c2->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array, Array) (Line: 43)
__TwigTemplate_bd990293b89f3b78c69fe0ee2f7828b5->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/contrib/classy/templates/field/field--text-with-summary.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('field', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('node_access') (Line: 51)
Drupal\book\BookOutlineStorage->loadMultiple(Array) (Line: 1021)
Drupal\book\BookManager->bookTreeCheckAccess(Array, Array) (Line: 701)
Drupal\book\BookManager->bookTreeBuild('828', Array) (Line: 567)
Drupal\book\BookManager->bookTreeAllData('828', Array, 6) (Line: 792)
Drupal\book\BookManager->bookTreeGetFlat(Array) (Line: 109)
Drupal\book\BookOutline->childrenLinks(Array) (Line: 403)
template_preprocess_book_navigation(Array, 'book_navigation', Array)
call_user_func_array('template_preprocess_book_navigation', Array) (Line: 287)
Drupal\Core\Theme\ThemeManager->render('book_navigation', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('base_table', 'book') (Line: 52)
Drupal\book\BookOutlineStorage->loadMultiple(Array) (Line: 1021)
Drupal\book\BookManager->bookTreeCheckAccess(Array, Array) (Line: 701)
Drupal\book\BookManager->bookTreeBuild('828', Array) (Line: 567)
Drupal\book\BookManager->bookTreeAllData('828', Array, 6) (Line: 792)
Drupal\book\BookManager->bookTreeGetFlat(Array) (Line: 109)
Drupal\book\BookOutline->childrenLinks(Array) (Line: 403)
template_preprocess_book_navigation(Array, 'book_navigation', Array)
call_user_func_array('template_preprocess_book_navigation', Array) (Line: 287)
Drupal\Core\Theme\ThemeManager->render('book_navigation', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('node_access') (Line: 51)
Drupal\book\BookOutlineStorage->loadMultiple(Array, 1) (Line: 831)
Drupal\book\BookManager->loadBookLinks(Array, 1) (Line: 823)
Drupal\book\BookManager->loadBookLink('1099') (Line: 419)
template_preprocess_book_navigation(Array, 'book_navigation', Array)
call_user_func_array('template_preprocess_book_navigation', Array) (Line: 287)
Drupal\Core\Theme\ThemeManager->render('book_navigation', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('base_table', 'book') (Line: 52)
Drupal\book\BookOutlineStorage->loadMultiple(Array, 1) (Line: 831)
Drupal\book\BookManager->loadBookLinks(Array, 1) (Line: 823)
Drupal\book\BookManager->loadBookLink('1099') (Line: 419)
template_preprocess_book_navigation(Array, 'book_navigation', Array)
call_user_func_array('template_preprocess_book_navigation', Array) (Line: 287)
Drupal\Core\Theme\ThemeManager->render('book_navigation', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array) (Line: 446)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array) (Line: 479)
Drupal\Core\Template\TwigExtension->escapeFilter(Object, Array, 'html', NULL, 1) (Line: 74)
__TwigTemplate_94047fbdba6937b76a4479dfa1763452->doDisplay(Array, Array) (Line: 405)
Twig\Template->displayWithErrorHandling(Array, Array) (Line: 378)
Twig\Template->display(Array) (Line: 390)
Twig\Template->render(Array) (Line: 55)
twig_render_template('themes/custom/yg_aesthetic/templates/node.html.twig', Array) (Line: 384)
Drupal\Core\Theme\ThemeManager->render('node', Array) (Line: 433)
Drupal\Core\Render\Renderer->doRender(Array, ) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, ) (Line: 242)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 235)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Return type of Drupal\google_analytics\Component\Render\GoogleAnalyticsJavaScriptSnippet::jsonSerialize() should either be compatible with JsonSerializable::jsonSerialize(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include() (line 10 of modules/contrib/google_analytics/src/Component/Render/GoogleAnalyticsJavaScriptSnippet.php).
include('/var/www/vhosts/interactivechaos.ovh/httpdocs/modules/contrib/google_analytics/src/Component/Render/GoogleAnalyticsJavaScriptSnippet.php') (Line: 578)
Composer\Autoload\ClassLoader::Composer\Autoload\{closure}('/var/www/vhosts/interactivechaos.ovh/httpdocs/modules/contrib/google_analytics/src/Component/Render/GoogleAnalyticsJavaScriptSnippet.php') (Line: 432)
Composer\Autoload\ClassLoader->loadClass('Drupal\google_analytics\Component\Render\GoogleAnalyticsJavaScriptSnippet') (Line: 372)
google_analytics_page_attachments(Array) (Line: 313)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}(Object, 'google_analytics') (Line: 405)
Drupal\Core\Extension\ModuleHandler->invokeAllWith('page_attachments', Object) (Line: 310)
Drupal\Core\Render\MainContent\HtmlRenderer->invokePageAttachmentHooks(Array) (Line: 288)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Use of "static" in callables is deprecated in Drupal\user\Entity\Role::postLoad() (line 172 of core/modules/user/src/Entity/Role.php).
Drupal\user\Entity\Role::postLoad(Object, Array) (Line: 423)
Drupal\Core\Entity\EntityStorageBase->postLoad(Array) (Line: 353)
Drupal\Core\Entity\EntityStorageBase->loadMultiple() (Line: 126)
eu_cookie_compliance_page_attachments(Array) (Line: 313)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}(Object, 'eu_cookie_compliance') (Line: 405)
Drupal\Core\Extension\ModuleHandler->invokeAllWith('page_attachments', Object) (Line: 310)
Drupal\Core\Render\MainContent\HtmlRenderer->invokePageAttachmentHooks(Array) (Line: 288)
Drupal\Core\Render\MainContent\HtmlRenderer->prepare(Array, Object, Object) (Line: 132)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse(Array, Object, Object) (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray(Object, 'kernel.view', Object)
call_user_func(Array, Object, 'kernel.view', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.view') (Line: 174)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('entity_type', 'node') (Line: 115)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 167)
Drupal\book\Plugin\Block\BookNavigationBlock->build() (Line: 171)
Drupal\block\BlockViewBuilder::preRender(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 160)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 159)
Drupal\Core\Render\Renderer->renderPlain(Array) (Line: 175)
Drupal\Core\Render\Renderer->renderPlaceholder('', Array) (Line: 665)
Drupal\Core\Render\Renderer->replacePlaceholders(Array) (Line: 550)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 148)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 147)
Drupal\Core\Render\Renderer->renderRoot(Array) (Line: 279)
Drupal\Core\Render\HtmlResponseAttachmentsProcessor->renderPlaceholders(Object) (Line: 71)
Drupal\big_pipe\Render\BigPipeResponseAttachmentsProcessor->processAttachments(Object) (Line: 45)
Drupal\Core\EventSubscriber\HtmlResponseSubscriber->onRespond(Object, 'kernel.response', Object)
call_user_func(Array, Object, 'kernel.response', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.response') (Line: 202)
Symfony\Component\HttpKernel\HttpKernel->filterResponse(Object, Object, 1) (Line: 190)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('node_access') (Line: 145)
Drupal\Core\Entity\Query\Sql\Query->prepare() (Line: 80)
Drupal\Core\Entity\Query\Sql\Query->execute() (Line: 167)
Drupal\book\Plugin\Block\BookNavigationBlock->build() (Line: 171)
Drupal\block\BlockViewBuilder::preRender(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 160)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 159)
Drupal\Core\Render\Renderer->renderPlain(Array) (Line: 175)
Drupal\Core\Render\Renderer->renderPlaceholder('', Array) (Line: 665)
Drupal\Core\Render\Renderer->replacePlaceholders(Array) (Line: 550)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 148)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 147)
Drupal\Core\Render\Renderer->renderRoot(Array) (Line: 279)
Drupal\Core\Render\HtmlResponseAttachmentsProcessor->renderPlaceholders(Object) (Line: 71)
Drupal\big_pipe\Render\BigPipeResponseAttachmentsProcessor->processAttachments(Object) (Line: 45)
Drupal\Core\EventSubscriber\HtmlResponseSubscriber->onRespond(Object, 'kernel.response', Object)
call_user_func(Array, Object, 'kernel.response', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.response') (Line: 202)
Symfony\Component\HttpKernel\HttpKernel->filterResponse(Object, Object, 1) (Line: 190)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterTags is deprecated in Drupal\Core\Database\Query\Select->addTag() (line 149 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addTag('node_access') (Line: 51)
Drupal\book\BookOutlineStorage->loadMultiple(Array) (Line: 1021)
Drupal\book\BookManager->bookTreeCheckAccess(Array, Array) (Line: 701)
Drupal\book\BookManager->bookTreeBuild('828', Array) (Line: 567)
Drupal\book\BookManager->bookTreeAllData('828', Array) (Line: 171)
Drupal\book\Plugin\Block\BookNavigationBlock->build() (Line: 171)
Drupal\block\BlockViewBuilder::preRender(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 160)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 159)
Drupal\Core\Render\Renderer->renderPlain(Array) (Line: 175)
Drupal\Core\Render\Renderer->renderPlaceholder('', Array) (Line: 665)
Drupal\Core\Render\Renderer->replacePlaceholders(Array) (Line: 550)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 148)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 147)
Drupal\Core\Render\Renderer->renderRoot(Array) (Line: 279)
Drupal\Core\Render\HtmlResponseAttachmentsProcessor->renderPlaceholders(Object) (Line: 71)
Drupal\big_pipe\Render\BigPipeResponseAttachmentsProcessor->processAttachments(Object) (Line: 45)
Drupal\Core\EventSubscriber\HtmlResponseSubscriber->onRespond(Object, 'kernel.response', Object)
call_user_func(Array, Object, 'kernel.response', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.response') (Line: 202)
Symfony\Component\HttpKernel\HttpKernel->filterResponse(Object, Object, 1) (Line: 190)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
- Deprecated function: Creation of dynamic property Drupal\mysql\Driver\Database\mysql\Select::$alterMetaData is deprecated in Drupal\Core\Database\Query\Select->addMetaData() (line 178 of core/lib/Drupal/Core/Database/Query/Select.php).
Drupal\Core\Database\Query\Select->addMetaData('base_table', 'book') (Line: 52)
Drupal\book\BookOutlineStorage->loadMultiple(Array) (Line: 1021)
Drupal\book\BookManager->bookTreeCheckAccess(Array, Array) (Line: 701)
Drupal\book\BookManager->bookTreeBuild('828', Array) (Line: 567)
Drupal\book\BookManager->bookTreeAllData('828', Array) (Line: 171)
Drupal\book\Plugin\Block\BookNavigationBlock->build() (Line: 171)
Drupal\block\BlockViewBuilder::preRender(Array)
call_user_func_array(Array, Array) (Line: 101)
Drupal\Core\Render\Renderer->doTrustedCallback(Array, Array, 'Render #pre_render callbacks must be methods of a class that implements \Drupal\Core\Security\TrustedCallbackInterface or be an anonymous function. The callback was %s. See https://www.drupal.org/node/2966725', 'exception', 'Drupal\Core\Render\Element\RenderCallbackInterface') (Line: 788)
Drupal\Core\Render\Renderer->doCallback('#pre_render', Array, Array) (Line: 374)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 160)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 159)
Drupal\Core\Render\Renderer->renderPlain(Array) (Line: 175)
Drupal\Core\Render\Renderer->renderPlaceholder('', Array) (Line: 665)
Drupal\Core\Render\Renderer->replacePlaceholders(Array) (Line: 550)
Drupal\Core\Render\Renderer->doRender(Array, 1) (Line: 204)
Drupal\Core\Render\Renderer->render(Array, 1) (Line: 148)
Drupal\Core\Render\Renderer->Drupal\Core\Render\{closure}() (Line: 580)
Drupal\Core\Render\Renderer->executeInRenderContext(Object, Object) (Line: 147)
Drupal\Core\Render\Renderer->renderRoot(Array) (Line: 279)
Drupal\Core\Render\HtmlResponseAttachmentsProcessor->renderPlaceholders(Object) (Line: 71)
Drupal\big_pipe\Render\BigPipeResponseAttachmentsProcessor->processAttachments(Object) (Line: 45)
Drupal\Core\EventSubscriber\HtmlResponseSubscriber->onRespond(Object, 'kernel.response', Object)
call_user_func(Array, Object, 'kernel.response', Object) (Line: 142)
Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher->dispatch(Object, 'kernel.response') (Line: 202)
Symfony\Component\HttpKernel\HttpKernel->filterResponse(Object, Object, 1) (Line: 190)
Symfony\Component\HttpKernel\HttpKernel->handleRaw(Object, 1) (Line: 81)
Symfony\Component\HttpKernel\HttpKernel->handle(Object, 1, 1) (Line: 58)
Drupal\Core\StackMiddleware\Session->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle(Object, 1, 1) (Line: 191)
Drupal\page_cache\StackMiddleware\PageCache->fetch(Object, 1, 1) (Line: 128)
Drupal\page_cache\StackMiddleware\PageCache->lookup(Object, 1, 1) (Line: 82)
Drupal\page_cache\StackMiddleware\PageCache->handle(Object, 1, 1) (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle(Object, 1, 1) (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle(Object, 1, 1) (Line: 23)
Stack\StackedHttpKernel->handle(Object, 1, 1) (Line: 713)
Drupal\Core\DrupalKernel->handle(Object) (Line: 19)
