Inicio > Recursos educativos > Tutoriales

Presentación
Introducción al Machine Learning
Algoritmos de clasificación
Validación
Preprocesamiento de datos
Ingeniería de características
Algoritmos de regresión
Ensamblado de algoritmos
Optimización de un modelo
Algoritmos no supervisados
Algoritmos de aprendizaje por refuerzo
Miscelánea

Mensaje de error

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-73454597-88d5-442c-baa7-df684db80cd0') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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-73454597-88d5-442c-baa7-df684db80cd0') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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-73454597-88d5-442c-baa7-df684db80cd0') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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-73454597-88d5-442c-baa7-df684db80cd0') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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-6511327b-28da-4fce-8a37-936ae89f6c3b') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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-6511327b-28da-4fce-8a37-936ae89f6c3b') (Line: 95)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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-6511327b-28da-4fce-8a37-936ae89f6c3b') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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-6511327b-28da-4fce-8a37-936ae89f6c3b') (Line: 124)
Drupal\editor\Plugin\Filter\EditorFileReference->process('Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada <strong>ganancia de información</strong> (<strong>information gain</strong> o <em>IG</em> en inglés), definida mediante la siguiente fórmula:
<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_0194.png"></a>

En la que:

<ul><li>I es la función que mide la impureza</li>
	<li>Dp es el dataset "padre" que se está dividiendo</li>
	<li>Np es el número de elementos del dataset padre</li>
	<li>Dj es el dataset j-ésimo en el que se ha dividido Dp</li>
	<li>Nj es el número de elementos del dataset Dj</li>
</ul>Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:
<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_0195.png"></a>

En este caso Dleft es uno de los dos bloques resultantes de la división (y Nleft su número de elementos) y Dright el segundo bloque (y Nright su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 =  0.1
', '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)

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, 5) (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)

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, 5) (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)

Drupal\Core\Database\Query\Select->addTag('node_access') (Line: 51)
Drupal\book\BookOutlineStorage->loadMultiple(Array) (Line: 1021)
Drupal\book\BookManager->bookTreeCheckAccess(Array, Array) (Line: 1179)
Drupal\book\BookManager->bookSubtreeData(Array) (Line: 56)
Drupal\book\BookOutline->prevLink(Array) (Line: 407)
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)

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: 1179)
Drupal\book\BookManager->bookSubtreeData(Array) (Line: 56)
Drupal\book\BookOutline->prevLink(Array) (Line: 407)
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)

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('4002') (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)

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('4002') (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)

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)

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)

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)

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)

Ganancia de información

Se ha comentado que el proceso seguido por el árbol de decisión se basa en la idea de separar los datos de forma que se mejore la pureza de los bloques resultantes. Esta mejora es la que se mide mediante la llamada ganancia de información (information gain o IG en inglés), definida mediante la siguiente fórmula:

En la que:

I es la función que mide la impureza
D_p es el dataset "padre" que se está dividiendo
N_p es el número de elementos del dataset padre
D_j es el dataset j-ésimo en el que se ha dividido D_p
N_j es el número de elementos del dataset D_j

Básicamente estamos restando a la impureza del dataset inicial la impureza de los bloques resultantes ponderados según su número de elementos con respecto al total.

Si estamos trabajando en un escenario de clasificación binaria, la función anterior queda:

Ganancia de información en un escenario de clasificación binaria

En este caso D_left es uno de los dos bloques resultantes de la división (y N_left su número de elementos) y D_right el segundo bloque (y N_right su número de elementos).

Ésta es la función objetivo que se desea maximizar en cada "split" buscando la característica adecuada por la que realizar la división y el umbral adecuado.

Pongamos un ejemplo: supongamos que el dataset padre contiene 90 muestras y una impureza medida vía Índice Gini de 0.4. Este dataset se divide en dos grupos de 60 y 30 elementos, cuyas impurezas son 0.2 y 0.5 respectivamente. La ganancia de información sería:

IG = 0.4 - 60/90 * 0.2 - 30/90 * 0.5 = 0.1

Enlaces transversales de Book para Ganancia de información

‹ Comparación de funciones de impureza
Arriba
Ejemplo de árbol de decisión ›

Ganancia de información

Acerca de Interactive Chaos

Información de contacto