From f8b768be9c5e3a3bb7f188bf27d572b1148713cb Mon Sep 17 00:00:00 2001 From: Felipe Gonzalez Date: Tue, 26 Sep 2023 09:50:09 -0600 Subject: [PATCH] Mejorar diagramas --- notas/11-val-cruzada.qmd | 6 +++++- notas/figuras/div_muestra.png | Bin 37986 -> 66387 bytes notas/figuras/div_muestra_1.gv | 22 ++++++++++++++++++++ notas/figuras/div_muestra_2.gv | 31 +++++++++++++++++++++++++++++ notas/figuras/div_muestra_cv_1.png | Bin 0 -> 81194 bytes 5 files changed, 58 insertions(+), 1 deletion(-) create mode 100644 notas/figuras/div_muestra_1.gv create mode 100644 notas/figuras/div_muestra_2.gv create mode 100644 notas/figuras/div_muestra_cv_1.png diff --git a/notas/11-val-cruzada.qmd b/notas/11-val-cruzada.qmd index 5ea47f23..bbf98c43 100644 --- a/notas/11-val-cruzada.qmd +++ b/notas/11-val-cruzada.qmd @@ -29,6 +29,7 @@ con varios parámetros afinados (como la $\lambda$ de regresión ridge). + Cuando tenemos datos abundantes, este enfoque es el usual. Por ejemplo, podemos dividir la muestra en 50-25-25 por ciento. Ajustamos modelos con el primer 50\%, evaluamos y seleccionamos con el segundo 25\% y finalmente, @@ -89,6 +90,9 @@ es el de **validación cruzada**, que es un método computacional para producir una estimación interna (usando sólo muestra de entrenamiento) del error de predicción. +![](./figuras/div_muestra_cv_1.png) + + Validación cruzada también tiene nos da diagnósticos adicionales para entender la variación del desempeño según el conjunto de datos de entrenamiento que usemos, algo que es más difícil ver si solo tenemos una muestra de validación. @@ -100,7 +104,7 @@ ${\mathcal L}=\{ (x_i,y_i)\}_{i=1}^n$: $$ {\mathcal L}={\mathcal L}_1\cup {\mathcal L}_2\cup\cdots\cup {\mathcal L}_k.$$ -![](./figuras/div_muestra_cv.png) +![](./figuras/div_muestra_cv.png){width=300} Construimos $k$ modelos distintos, digamos $\hat{f}_j$, usando solamente la muestra ${\mathcal L}-{\mathcal L}_j$, para $j=1,2,\ldots, k$. 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Evaluación final>] + + edge[color = black, arrowhead = vee, arrowsize = 1.0] + C -> D + C -> E + C -> F + } diff --git a/notas/figuras/div_muestra_2.gv b/notas/figuras/div_muestra_2.gv new file mode 100644 index 00000000..47ff95ea --- /dev/null +++ b/notas/figuras/div_muestra_2.gv @@ -0,0 +1,31 @@ +digraph{ + + graph[rankdir = TB] + + node[shape = plaintext style = filled ] + + + node[fillcolor = White, margin = 0.2] + C[label = Datos] + + node[fillcolor = Cyan, margin = 0.2] + D[label =
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