From 6e625e70d66d804dcee9c2848d1794155c3c24be Mon Sep 17 00:00:00 2001 From: ludwigbothmann <46222472+ludwigbothmann@users.noreply.github.com> Date: Fri, 3 Nov 2023 10:20:58 +0100 Subject: [PATCH 1/5] Updates from Overleaf --- .github/workflows/fix-figure-paths.yaml | 2 + .../render-lecture-slide-status.yaml | 4 + .github/workflows/update-latex-math.yaml | 5 + exercises/tuning/ex_tuning.ipynb | 468 ++++++++++++++++++ latex-math/basic-math.tex | 2 + latex-math/latex-math.pdf | Bin 377828 -> 0 bytes .../cart/slides-cart-nutshell-alternative.tex | 250 ---------- slides/cart/slides-cart-nutshell.tex | 34 ++ slides/forests/slides-forests-nutshell.tex | 4 +- 9 files changed, 517 insertions(+), 252 deletions(-) create mode 100644 exercises/tuning/ex_tuning.ipynb delete mode 100644 latex-math/latex-math.pdf delete mode 100644 slides/cart/slides-cart-nutshell-alternative.tex diff --git a/.github/workflows/fix-figure-paths.yaml b/.github/workflows/fix-figure-paths.yaml index 59a7cc475..416189e0c 100644 --- a/.github/workflows/fix-figure-paths.yaml +++ b/.github/workflows/fix-figure-paths.yaml @@ -19,6 +19,8 @@ jobs: with: # 0 indicates all history for all branches and tags, 1 is shallow (and default) fetch-depth: 1 + # Don't show progress bar, very verbose for large repos + show-progress: false # Uncomment / move to get a tmux ssh session for interactive debugging # - name: Setup tmate session diff --git a/.github/workflows/render-lecture-slide-status.yaml b/.github/workflows/render-lecture-slide-status.yaml index 693ff7358..1ee5b62b9 100644 --- a/.github/workflows/render-lecture-slide-status.yaml +++ b/.github/workflows/render-lecture-slide-status.yaml @@ -30,6 +30,8 @@ jobs: uses: actions/checkout@v4 with: repository: slds-lmu/lecture_service + # Don't show progress bar, very verbose for large repos + show-progress: false # Most reliable way I've found to get the repo name and use it as a parameter for the checkout action # see https://stackoverflow.com/a/75513916/409362 @@ -49,6 +51,8 @@ jobs: # No need for git history # 0 indicates all history for all branches and tags, 1 is shallow (and default) fetch-depth: 1 + # Don't show progress bar, very verbose for large repos + show-progress: false # Uncomment / move to get a tmux ssh session for interactive debugging # - name: Setup tmate session diff --git a/.github/workflows/update-latex-math.yaml b/.github/workflows/update-latex-math.yaml index 46b9d8fb0..9eda886e3 100644 --- a/.github/workflows/update-latex-math.yaml +++ b/.github/workflows/update-latex-math.yaml @@ -19,6 +19,8 @@ jobs: with: # 0 indicates all history for all branches and tags, 1 is shallow (and default) fetch-depth: 1 + # Don't show progress bar, very verbose for large repos + show-progress: false # Uncomment / move to get a tmux ssh session for interactive debugging # - name: Setup tmate session @@ -27,10 +29,13 @@ jobs: # 1. Delete latex-math contents in the current lecture to make sure that outdated files are removed # (example: there was an iml.tex that was superseded by ml-interpretable.tex) # 2. Download latex-math from the canonical repo into ./latex-math + # 3. Delete latex-math.pdf to avoid dragging large binary blobs through the git history + - name: Get latex-math run: | rm -rf latex-math/* curl -sL https://api.github.com/repos/slds-lmu/latex-math/tarball/master | tar -xz --directory=latex-math/ --strip-components=1 + rm latex-math/latex-math.pdf # Use this pull request action to auto-generate a PR with the changes # See https://github.com/peter-evans/create-pull-request#action-inputs diff --git a/exercises/tuning/ex_tuning.ipynb b/exercises/tuning/ex_tuning.ipynb new file mode 100644 index 000000000..a0f881262 --- /dev/null +++ b/exercises/tuning/ex_tuning.ipynb @@ -0,0 +1,468 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "0cd1bb33", + "metadata": {}, + "source": [ + "***\n", + "**Introduction to Machine Learning**
\n", + "__[https://slds-lmu.github.io/i2ml/](https://slds-lmu.github.io/i2ml/)__\n", + "***" + ] + }, + { + "cell_type": "markdown", + "id": "91a25043", + "metadata": {}, + "source": [ + "# Exercise sheet 11: Tuning" + ] + }, + { + "cell_type": "markdown", + "id": "8dbb6337", + "metadata": {}, + "source": [ + "## Exercise 1: Tuning $k$-NN\n" + ] + }, + { + "cell_type": "markdown", + "id": "04f1d651", + "metadata": {}, + "source": [ + "In this exercise we will perform hyperparameter optimization (HPO) for the task of classifying the `credit risk`\n", + "data with a $k$-NN classifier." + ] + }, + { + "cell_type": "markdown", + "id": "81cc572f", + "metadata": {}, + "source": [ + "### `R` Exercise: " + ] + }, + { + "cell_type": "markdown", + "id": "582a55c4", + "metadata": {}, + "source": [ + "The `kknn` implementation used by `mlr3` contains several hyperparameters, three of which are to be tuned for our\n", + "prediction:" + ] + }, + { + "cell_type": "markdown", + "id": "f52ed8cc", + "metadata": {}, + "source": [ + "- $k$ (number of neighbors)\n", + "- `kernel`\n", + "- `scale`" + ] + }, + { + "cell_type": "markdown", + "id": "3f6376ab", + "metadata": {}, + "source": [ + "> a) Describe briefly the role of each hyperparameter in the learning algorithm – which effects can be expected by\n", + "altering them?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "84770e79", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "fe097546", + "metadata": {}, + "source": [ + "> b) In `mlr3` (using the `mlr3tuning` library), define an appropriate search space to tune over. We want to explore\n", + "a range between $1$ and $100$ for $k$ and the kernel to be chosen from ”rectangular”, ”epanechnikov”, ”gaussian”,\n", + "”optimal”." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5ea586d7", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "acf72805", + "metadata": {}, + "source": [ + "> c) Perform the tuning procedure using `TuningInstanceSingleCrit`. Set aside $200$ test observations first. Use\n", + "$5$-fold cross validation and random search, and terminate the process after either $30$ seconds or $200$ evaluations.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "684fe82d", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "dc968165", + "metadata": {}, + "source": [ + "> d) You realize that a high AUC is the performance measure you are actually interested in. Modify the HPO\n", + "procedure such that performance is optimized w.r.t. AUC." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b899e6de", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "c95e6ac9", + "metadata": {}, + "source": [ + "> e) Visualize the tuning result with a suitable command. What do you observe regarding the impact of different\n", + "hyperparameters on predictive performance? What are limits of such a form of analysis?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "86ac486f", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "94a8a792", + "metadata": {}, + "source": [ + "> f) After analyzing the tuning results, you notice that changes in $k$ are more influential for smaller neighborhoods.\n", + "Re-run the HPO procedure with a log-transformation for $k$. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "60d7442d", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "79d7b42f", + "metadata": {}, + "source": [ + "> g) With the hyperparameter configuration found via HPO, fit the model on all training observations and compute\n", + "the AUC on your test data.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "497291ec", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "404bc31b", + "metadata": {}, + "source": [ + "### `Python` Exercise:" + ] + }, + { + "cell_type": "markdown", + "id": "e1015740", + "metadata": {}, + "source": [ + "The `KNeighborsClassifier` implementation used by `sklearn` contains several hyperparameters, three of which\n", + "are to be tuned for our prediction:" + ] + }, + { + "cell_type": "markdown", + "id": "0a275d72", + "metadata": {}, + "source": [ + "- `n_neighbors`\n", + "- `weigths`\n", + "- `metric`\n" + ] + }, + { + "cell_type": "markdown", + "id": "e7c84fef", + "metadata": {}, + "source": [ + "> a) Describe briefly the role of each hyperparameter in the learning algorithm – which effects can be expected by\n", + "altering them? Furthermore, read the [credit_for_py.csv](https://github.com/slds-lmu/lecture_i2ml/blob/master/exercises/data/german_credit_for_py.csv), separate $138$ test observations and perform necessary\n", + "preprocessing steps." + ] + }, + { + "cell_type": "markdown", + "id": "8b9b8cad", + "metadata": {}, + "source": [ + "
\n", + " Hint: Apply a StandardScaler on your feature space. What effect does scaling have on your $k$-NN-model?
\n", + "
" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6e755d26", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "fb9bd8b7", + "metadata": {}, + "source": [ + "> b) Define an appropriate search space to tune over. We want to explore a range between $1$ and $100$ for `n_neighbors`\n", + "and the distance calculation to be chosen from ”uniform”, ”manhattan”, ”euclidean”, ”cosine”." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3eb600a1", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "ef6b7569", + "metadata": {}, + "source": [ + "> c) Perform the tuning procedure using `RandomizedSearchCV`. Use $5$-fold cross validation, and terminate the process\n", + "after $200$ iterations. Also, utilize parallelization to fasten the computation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "85279f3b", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "6c2211ae", + "metadata": {}, + "source": [ + "> d) You realize that a high AUC is the performance measure you are actually interested in. Modify the HPO\n", + "procedure such that performance is optimized w.r.t. AUC." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "39b800f7", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "b25b9819", + "metadata": {}, + "source": [ + "> e) You are interested in possible under- and overfitting of your hyperparameter setting. Use validation curve\n", + "from `sklearn.model_selection` to retrieve the training scores and cross-validation scores for a $5$-fold-CV,\n", + "depending on the AUC metric.
\n", + "Visualize the tuning result with a suitable command. You may use the function provided below or a self-defined\n", + "function.
\n", + "Re-run the evaluation with unscaled features.
\n", + "What do you observe regarding the impact of different hyperparameters and scaling on predictive performance?\n", + "What are limits of such a form of analysis?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f1182ea6", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "07c03d03", + "metadata": {}, + "source": [ + "> f) After analyzing the tuning results, you notice that changes in `n_neighbors` are more influential for smaller\n", + "neighborhoods. Re-run the HPO procedure with a log-transformation for `n_neighbors` parameter list.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5484bee5", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "cba8cb51", + "metadata": {}, + "source": [ + "> g) With the hyperparameter configuration found via HPO, fit the model on all training observations and compute\n", + "the AUC on your test data. Could you see any effect of the log-transformation for `n_neighbors`?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "410fc312", + "metadata": {}, + "outputs": [], + "source": [ + "# Entering your code here:" + ] + }, + { + "cell_type": "markdown", + "id": "b1c5b213", + "metadata": {}, + "source": [ + "Function for plotting a validation curve:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7226894a", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_validation(train_scores, test_scores, param, param_range):\n", + " \"\"\"\n", + " Plot the validation curve for a given hyperparameter.\n", + " Parameters:\n", + " ----------\n", + " train_scores : array-like of shape (n_param_values, n_folds)\n", + " Training scores for each hyperparameter value and fold.\n", + " test_scores : array-like of shape (n_param_values, n_folds)\n", + " Test scores (e.g., cross-validation scores) for each hyperparameter value and fold.\n", + " param : str\n", + " Name of the hyperparameter being varied.\n", + " param_range : array-like of shape (n_param_values,)\n", + " Range of values for the hyperparameter.\n", + " Returns:\n", + " -------\n", + " None\n", + " The function plots the validation curve.\n", + " \"\"\"\n", + " train_scores_mean = np.mean(train_scores, axis=1)\n", + " train_scores_std = np.std(train_scores, axis=1)\n", + " test_scores_mean = np.mean(test_scores, axis=1)\n", + " test_scores_std = np.std(test_scores, axis=1)\n", + " \n", + " plt.title(\"Validation Curve with KNN\")\n", + " plt.xlabel(param)\n", + " plt.ylabel(\"Score\")\n", + " plt.ylim(0.0, 1.1)\n", + " lw = 2\n", + " plt.plot(\n", + " param_range, train_scores_mean, label=\"Training score\", color=\"darkorange\", lw=lw\n", + " )\n", + " plt.fill_between(\n", + " param_range,\n", + " train_scores_mean - train_scores_std,\n", + " train_scores_mean + train_scores_std,\n", + " alpha=0.2,\n", + " color=\"darkorange\",\n", + " lw=lw,\n", + " )\n", + " plt.plot(\n", + " param_range, test_scores_mean, label=\"Cross-validation score\", color=\"navy\", lw=lw\n", + " )\n", + " plt.fill_between(\n", + " param_range,\n", + " test_scores_mean - test_scores_std,\n", + " test_scores_mean + test_scores_std,\n", + " alpha=0.2,\n", + " color=\"navy\",\n", + " lw=lw,\n", + " )\n", + " plt.legend(loc=\"best\")\n", + " plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "python-i2ml", + "language": "python", + "name": "python-i2ml" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/latex-math/basic-math.tex b/latex-math/basic-math.tex index 8e574d1ba..df3e12a42 100644 --- a/latex-math/basic-math.tex +++ b/latex-math/basic-math.tex @@ -26,6 +26,8 @@ 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z?{+4%Zf(zjr7xVybQxWPRtC~iTY;kj0(m3l4PUDE@?`m41x4x~{9fWO$?rhm8xl-z zshnt+)DJ$J!qok(^=1t@h8iiX;3@?qDb-|!|T}_`DbHH1*sgR7ucQ0+>b6CVMh8#~Gk2iM0Y@cjjFmte#N z@?in~gp(y8-}gcZ%0DJuup^9_jj%&S^nw4zGc=xwJItWQuMZSZ`6m}#Y|vpbAI_sm zlP?cSeb@&RvZxbvM-etdm3y~p&<}{V`!|Q&Skt*k$nw|}o|-~*VDn}EORW%Yp#b{yui65FeH#8@#8iCDeO<*2#sBe8&}r^Jv8o5Qk+H8$+8 zgtv)=W-}*mGpC5lL3Ij2pW@p|Gl~_{mQin|a%(O$Ef37ld1?UTu3CO^&+a1VBV1irtrU0NJyw#a40dDlQTG-la7WqKwchUWdisIt-#yO diff --git a/slides/cart/slides-cart-nutshell-alternative.tex b/slides/cart/slides-cart-nutshell-alternative.tex deleted file mode 100644 index 0db61afaa..000000000 --- a/slides/cart/slides-cart-nutshell-alternative.tex +++ /dev/null @@ -1,250 +0,0 @@ -\documentclass[11pt,compress,t,notes=noshow, xcolor=table]{beamer} - -\input{../../style/preamble} -\input{../../latex-math/basic-math.tex} -\input{../../latex-math/basic-ml.tex} - - -\newcommand{\titlefigure}{figure/cart_intro_annotated-tree.pdf} -\newcommand{\learninggoals}{ -\item Understand basic structure of CART models -\item Understand basic concepts used to fit CART models -%\item You can use this slide deck either as a first overview or a final recap -} - - -\title{Introduction to Machine Learning} -% \author{Bernd Bischl, Christoph Molnar, Daniel Schalk, Fabian Scheipl} -\institute{\href{https://compstat-lmu.github.io/lecture_i2ml/}{compstat-lmu.github.io/lecture\_i2ml}} -\date{} - -\begin{document} - -\lecturechapter{CART: In a nutshell} -\lecture{Introduction to Machine Learning} -\sloppy - -\begin{vbframe}{Learning and Prediction with CARTs} - -\begin{columns} -\begin{column}{0.1\textwidth} -\begin{center} -\vspace{1cm} -Training -\end{center} -\end{column} -\begin{column}{0.9\textwidth} -\begin{center} -%https://docs.google.com/presentation/d/1_jwVNB657IsABwu1uBogxT67VZtmKTUI/edit#slide=id.p1 - \includegraphics[width = 0.9\textwidth]{slides/cart/figure_man/nutshell-cart-learning.png} -\end{center} -\end{column} -\end{columns} - -\begin{columns} -\begin{column}{0.1\textwidth} -\begin{center} -\vspace{1cm} -Prediction -\end{center} -\end{column} -\begin{column}{0.9\textwidth} -\begin{center} -%https://docs.google.com/presentation/d/1VKK-QD85P_EZHpA89WgJGNqDH7J_47ou/edit#slide=id.p1 - \includegraphics[width = 0.9\textwidth]{slides/cart/figure_man/nutshell-cart-prediction.png} -\end{center} -\end{column} -\end{columns} - -\end{vbframe} - -\begin{vbframe}{What is a tree?} - -Basic idea: -\begin{itemize} -\item Divide feature space into sub-regions.%, and -\item For each region, learn best constant prediction from training data. % set by taking the average (mean), most frequent (mode), or middle value (median) of the response variable among the training examples belonging to that specific segment. -\end{itemize} - -\vspace{0.5cm} - - \textbf{C}lassification \textbf{A}nd \textbf{R}egression \textbf{T}rees are a class of models that can: - \begin{itemize} - \item model non-linear feature effects - \item facilitate interactions of features - \item be inherently interpreted - \end{itemize} -\end{vbframe} - -\begin{vbframe}{What is a tree?} -A decision tree is a set of hierarchical binary partitions, e.g., your evening planning decision (target) could be based on a decision tree: - - \begin{figure} - \centering -\includegraphics[width=1\textwidth, keepaspectratio]{figure/nutshell-example.pdf} - \end{figure} - - -\end{vbframe} - -\begin{vbframe}{What is a tree?} -Instead of life choices, we can predict the \texttt{Species} of flowers described in the \texttt{iris} data set using features \texttt{Sepal.Width} and \texttt{Sepal.Length}. -%A CART can be decribed by this plot: - - \begin{figure} - \centering - % FIGURE SOURCE: No source - \includegraphics[height = 6.5cm, keepaspectratio]{figure/cart_intro_annotated-tree.pdf} - \end{figure} -\end{vbframe} - -\begin{vbframe}{CART as a predictor} -Instead of the visual description, we can also describe trees through their division of the feature space $\Xspace$ into \textbf{rectangular regions}, $Q_m$: - \begin{align*} - \fx = \sum_{m=1}^M c_m \I(\xv \in Q_m), - \end{align*} - \begin{figure} - \centering -\includegraphics[width=0.7\textwidth, keepaspectratio]{figure/tree-classif-depth-3-blacklines.pdf} - \end{figure} -\end{vbframe} - - -\begin{vbframe}{Tasks for CART} - \begin{itemize} - - \item CARTs can have categorical and numerical targets. - \item In both cases, the leafs, i.e., the ultimate nodes, define the predictions. - \end{itemize} - - \begin{columns} -\begin{column}{0.48\textwidth} - - Categorical target: - \begin{figure} - \centering -\includegraphics[width=0.99\textwidth, keepaspectratio]{figure/tree-classif-depth3.pdf} - \end{figure} -\end{column} -\begin{column}{0.48\textwidth} - - Numerical target: - \begin{figure} - \centering -\includegraphics[width=0.99\textwidth, keepaspectratio]{figure/tree-regr-depth3.pdf} - \end{figure} -\end{column} -\end{columns} - -\end{vbframe} - -\begin{vbframe}{How to fit a CART} - -\begin{itemize} -\item A \emph{recursive} greedy search in the feature space optimizes CARTs -\item In each iteration, the best split is selected% determined via empirical risk minimization -%\item This recursive fitting looks like this, starting with iteration 1: -\end{itemize} - -Iteration 1: - -{\centering \includegraphics[width=0.6\textwidth]{figure/tree-classif-depth1.pdf} - -} - -\end{vbframe} - -\begin{vbframe}{How to fit a CART} - -Iteration 2: - -{\centering \includegraphics[width=0.58\textwidth]{figure/tree-classif-depth2.pdf} - -} - -Iteration 3: - -{\centering \includegraphics[width=0.58\textwidth]{figure/tree-classif-depth3.pdf} - -} - -\end{vbframe} - -\begin{vbframe}{How to fit a CART} -\begin{itemize} -\item This procedure can run until each observation has its own leaf. -\item Then, the tree will not generalize well and overfit: -\end{itemize} - -{\centering \includegraphics[width=0.58\textwidth]{figure/tree-overfitting-prediction.pdf} - -} - -\begin{itemize} -\item Thus, we need techniques to keep the tree small and informative. -%\item In fact, we already used some of these techniques for fitting the trees in this chapter. -\end{itemize} - -$\Rightarrow$ In practice, trees are often used as base learners for ensemble learners like Random Forests. - -\end{vbframe} - -% \begin{vbframe}{How to fit a CART} -% \begin{itemize} -% \item There are two options for this: -% \begin{itemize} -% \item Stop the fitting at some point -% \item Fit a deep tree and shorten ("prune") it afterwards -% \end{itemize} -% \item The fitting is typically stopped either by specifying a maximum depth of the tree or minimum number of observations per leaf. -% \item Another option is to specify a minimum decrease of the empirical risk that a split has to exceed. -% %\item A common library for fitting trees includes the following options: -% \end{itemize} - -% % Insert code with listings does not work -% %{\centering \includegraphics[width=0.9\textwidth]{figure_man/rpart.control-options.png} - -% %} - -% \end{vbframe} - -% \begin{vbframe}{Trees in Practice} - -% \begin{itemize} -% \item Trees are an attractive learner: -% \begin{itemize} -% \item (Usually) cheap to compute -% \item Interpretable -% \item Can capture complex feature effects -% \end{itemize} -% \item However, CART has high variance, hence not the best predictor -% \end{itemize} -% $\Rightarrow$ In practice, trees are mostly used as base learners for ensemble learners like Random Forests. -% \end{vbframe} - - - - - -% % BB: as we are not really talking too much about impurity anymore, I took this out -% % <>= -% % Colors = pal_3 -% % par(mar = c(5.1, 4.1, 0.1, 0.1)) -% % p = seq(1e-6, 1-1e-6, length.out = 200) -% % entropy = function(p) (p * log(p) + (1 - p) * log(1 - p))/(2 * log(0.5)) -% % gini = function(p) 2 * p * (1 - p) -% % missclassification = function(p) (1 - max(p, 1 - p)) -% % plot(p, entropy(p), type = "l", col = Colors[1], lwd = 1.5, ylab = "", -% % ylim = c(0, 0.6), xlab = expression(hat(pi)[Nk])) -% % lines(p, gini(p), col = Colors[2], lwd = 1.5) -% % lines(p, sapply(p, missclassification), col = Colors[3], lwd = 1.5) -% % legend("topright", c("Gini Index", "Entropy", "Misclassification Error"), -% % col = Colors[1:3], lty = 1) -% % @ - - - - - -\endlecture -\end{document} diff --git a/slides/cart/slides-cart-nutshell.tex b/slides/cart/slides-cart-nutshell.tex index 3fb0c1aaf..0db61afaa 100644 --- a/slides/cart/slides-cart-nutshell.tex +++ b/slides/cart/slides-cart-nutshell.tex @@ -24,6 +24,40 @@ \lecture{Introduction to Machine Learning} \sloppy +\begin{vbframe}{Learning and Prediction with CARTs} + +\begin{columns} +\begin{column}{0.1\textwidth} +\begin{center} +\vspace{1cm} +Training +\end{center} +\end{column} +\begin{column}{0.9\textwidth} +\begin{center} +%https://docs.google.com/presentation/d/1_jwVNB657IsABwu1uBogxT67VZtmKTUI/edit#slide=id.p1 + \includegraphics[width = 0.9\textwidth]{slides/cart/figure_man/nutshell-cart-learning.png} +\end{center} +\end{column} +\end{columns} + +\begin{columns} +\begin{column}{0.1\textwidth} +\begin{center} +\vspace{1cm} +Prediction +\end{center} +\end{column} +\begin{column}{0.9\textwidth} +\begin{center} +%https://docs.google.com/presentation/d/1VKK-QD85P_EZHpA89WgJGNqDH7J_47ou/edit#slide=id.p1 + \includegraphics[width = 0.9\textwidth]{slides/cart/figure_man/nutshell-cart-prediction.png} +\end{center} +\end{column} +\end{columns} + +\end{vbframe} + \begin{vbframe}{What is a tree?} Basic idea: diff --git a/slides/forests/slides-forests-nutshell.tex b/slides/forests/slides-forests-nutshell.tex index 571144f49..9a6fd6146 100644 --- a/slides/forests/slides-forests-nutshell.tex +++ b/slides/forests/slides-forests-nutshell.tex @@ -116,7 +116,7 @@ \end{vbframe} \begin{vbframe}{Performance of RF} -\begin{itemize} + \begin{itemize} \item \small RF performs well for classification tasks: \begin{itemize} @@ -127,7 +127,7 @@ \begin{center} \includegraphics[width = 0.6\textwidth]{figure/nutshell_classif_combined_1.pdf} \end{center} -\end{itemize} + From 7813ccdc35283102110f2a1d122bcb24a7b89d20 Mon Sep 17 00:00:00 2001 From: ludwigbothmann <46222472+ludwigbothmann@users.noreply.github.com> Date: Fri, 3 Nov 2023 11:03:48 +0100 Subject: [PATCH 2/5] Updates from Overleaf --- .github/workflows/fix-figure-paths.yaml | 1 + .github/workflows/pr-slide-check.yaml | 2 ++ .../render-lecture-slide-status.yaml | 2 +- .github/workflows/update-latex-math.yaml | 1 - exercises-pdf/ex_nested_resampling.pdf | Bin 84320 -> 114890 bytes 5 files changed, 4 insertions(+), 2 deletions(-) diff --git a/.github/workflows/fix-figure-paths.yaml b/.github/workflows/fix-figure-paths.yaml index 416189e0c..1a02f125b 100644 --- a/.github/workflows/fix-figure-paths.yaml +++ b/.github/workflows/fix-figure-paths.yaml @@ -5,6 +5,7 @@ on: workflow_dispatch: push: branches: [main, master] + paths: ['slides/**'] name: fix-figure-paths diff --git a/.github/workflows/pr-slide-check.yaml b/.github/workflows/pr-slide-check.yaml index f2c0cb6e6..d37aa58fb 100644 --- a/.github/workflows/pr-slide-check.yaml +++ b/.github/workflows/pr-slide-check.yaml @@ -26,6 +26,8 @@ jobs: uses: actions/checkout@v4 with: repository: slds-lmu/lecture_service + # Don't show progress bar, very verbose for large repos + show-progress: false # Most reliable way I've found to get the repo name and use it as a parameter for the checkout action # see https://stackoverflow.com/a/75513916/409362 diff --git a/.github/workflows/render-lecture-slide-status.yaml b/.github/workflows/render-lecture-slide-status.yaml index 1ee5b62b9..22757c1f9 100644 --- a/.github/workflows/render-lecture-slide-status.yaml +++ b/.github/workflows/render-lecture-slide-status.yaml @@ -12,7 +12,7 @@ on: # Probably makes most sense to only run this workflow when slides change # Also added the workflow itself to trigger a run if it changes # Comment out to run on every commit - paths: ['style/**', 'slides/**', 'slides-pdf/*.pdf', '.github/workflows/render-lecture-slide-status.yaml'] + paths: ['style/**', 'slides/**', 'slides-pdf/*.pdf', 'latex-math/**', '.github/workflows/render-lecture-slide-status.yaml'] name: render-lecture-slide-status diff --git a/.github/workflows/update-latex-math.yaml b/.github/workflows/update-latex-math.yaml index 9eda886e3..47fc38b40 100644 --- a/.github/workflows/update-latex-math.yaml +++ b/.github/workflows/update-latex-math.yaml @@ -30,7 +30,6 @@ jobs: # (example: there was an iml.tex that was superseded by ml-interpretable.tex) # 2. Download latex-math from the canonical repo into ./latex-math # 3. 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c19af23f493b22f68a01acc73c207d1970c6b231 Mon Sep 17 00:00:00 2001 From: ludwigbothmann <46222472+ludwigbothmann@users.noreply.github.com> Date: Fri, 3 Nov 2023 13:50:35 +0100 Subject: [PATCH 3/5] Updates from Overleaf --- exercises/nested-resampling/ex_nested_resampling.Rnw | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/exercises/nested-resampling/ex_nested_resampling.Rnw b/exercises/nested-resampling/ex_nested_resampling.Rnw index e593c189a..8202806c9 100644 --- a/exercises/nested-resampling/ex_nested_resampling.Rnw +++ b/exercises/nested-resampling/ex_nested_resampling.Rnw @@ -17,8 +17,9 @@ knitr::set_parent("../../style/preamble_ueb.Rnw") @ } +\newpage \dlz -\aufgabe{AutoML with \texttt{mlr3}}{ +\aufgabe{AutoML}{ <>= @ } From 2c4ec44c5c65eab56bfc5f7d3259822682386f2b Mon Sep 17 00:00:00 2001 From: ludwigbothmann <46222472+ludwigbothmann@users.noreply.github.com> Date: Mon, 6 Nov 2023 15:06:32 +0100 Subject: [PATCH 4/5] Updates from Overleaf --- .../nested-resampling/ex_rnw/ex_automl.Rnw | 75 ++++++++++++++++++- 1 file changed, 72 insertions(+), 3 deletions(-) diff --git a/exercises/nested-resampling/ex_rnw/ex_automl.Rnw b/exercises/nested-resampling/ex_rnw/ex_automl.Rnw index 4add6ce06..90ae82575 100644 --- a/exercises/nested-resampling/ex_rnw/ex_automl.Rnw +++ b/exercises/nested-resampling/ex_rnw/ex_automl.Rnw @@ -1,6 +1,8 @@ In this exercise, we build a simple automated machine learning (AutoML) system -that will make data-driven choices on which learner to use and also conduct the -necessary tuning. +that will make data-driven choices on which learner/estimator to use and also conduct the +necessary tuning.\\ + +\textbf{\texttt{R} Exercise}:\\ \texttt{mlr3pipelines} make this endeavor easy, modular and guarded against many common modeling errors. @@ -77,5 +79,72 @@ treated as any other learner. \texttt{extract\_inner\_tuning\_archives()}. \end{enumerate} +\newpage +\textbf{\texttt{Python} Exercise}:\\ + +\texttt{sklearn.pipeline.Pipeline} makes this endeavor easy, modular and guarded against +many common modeling errors. + +We work on the \href{https://github.com/slds-lmu/lecture_i2ml/blob/master/exercises/data/pima.csv}{\texttt{pima}} data to classify patients as diabetic and design a +system that is able to choose between $k$-NN and a random forest, both with tuned hyperparameters. + +The purpose of the pipeline is to assemble several steps of transformation and a final estimator that can be cross-validated together while setting different parameters. So to speak, the pipeline estimator can be treated as any other estimator. + +\begin{enumerate}[a)] + \item Load the data set \href{https://github.com/slds-lmu/lecture_i2ml/blob/master/exercises/data/pima.csv}{\texttt{pima}}, + encode the target \texttt{"diabetes"} as 0-1-vector and perform a stratified \texttt{train\_test\_split}. + \item As part of our modeling process, we want to perform certain preprocessing steps. While this step is highly customizable, we want to include at least One-Hot-Encoding of categorical features, and imputing of missing values.\\ + Instance a \texttt{ColumnTransformer} object and include these two steps for a dynamic choice of columns.\\ + (Hint: Strings are considered as \texttt{dtype = object}) + \item Next, both pipelines for the $k$-NN and random forest are created. Like this you can create estimators with highly individual preprocessing steps. Include the previously created \texttt{ColumnTransformer}, a \texttt{VarianceThreshold} to remove constant columns and the corresponding estimator as a final step. Additionally, scale the columns for the $k$-NN estimator. + \item A very common ensembling technique is to predict according to the decisions of numerous estimators. This is refered to as \texttt{VotingClassifier} and enables you to predict the class label based on the argmax of the sums of the predicted probabilities. Instanciate a \texttt{VotingClassifier} with the two classifier pipelines for $k$-NN and random forest.\\ + (Hint: set the parameters \texttt{voting = "soft"} and \texttt{n\_jobs = -1} for parallel computation.) + \item Now you have an estimator object just like any other. + Take a look at its tunable hyperparameters. + You will optimize the number of neighbors in $k$-NN + (between 3 and 10), + and the number of split candidates to try in the random forest (between 1 and + 5). + Define the search range for each like so: + <>= + param_grid_voting = [{"____": + list()}, + {"____": + list()}] + @ +Please note, that the estimator names should be on par with the labels given in the \texttt{VotingClassifier}, the \texttt{Pipeline} and, of course, the hyperparameter of the used estimator in the pipeline. Each level of hyperparameters of our created ensemble estimator is accessable through the seperation "\_\_" (double underscore). + \item Nested Resampling is a method to avoid the so called \textit{optimization bias} by tuning parameters and evaluation performance on different subsets of your training data. + Use + \begin{itemize} + \item Stratified 3-CV in both inner and outer loop. + \item accuracy as inner performance measure, + \item grid search as tuning algorithm. + \end{itemize} + You may use the following, incomplete code to compute the nested resampling: + <>= +NUM_OUTER_FOLDS = <...> +nested_scores_voting = np.zeros(NUM_OUTER_FOLDS) # initalize scores with 0 +# Choose cross-validation techniques for the inner and outer loops, +# independently of the dataset. +# E.g "GroupKFold", "LeaveOneOut", "LeaveOneGroupOut", etc. +inner_cv = <...>(n_splits=<...>, shuffle=True, random_state=42) +outer_cv = <...>(n_splits=<...>, shuffle=True, random_state=42) + +for i, (train_index, val_index) in enumerate(outer_cv.split(X_train, y_train)): + # Nested CV with parameter optimization for ensemble pipeline + clf_gs_voting = <...>( + estimator=<...>, + param_grid=<...>, + cv=<...>, + n_jobs=-1 + ) + clf_gs_voting.fit(X_train.iloc[<...>], y_train[<...>]) + nested_scores_voting[i] = clf_gs_voting.score(X_train.iloc[<...>], y_train[<...>]) + @ + \item Extract performance estimates per outer fold + and overall (as mean). According to your results, determine the best classifier object. + \item Lastly, evaluate the performance on the test set. Think about the imbalance of your data set and how this is affecting the performance measurement accuracy. Try to find a better metric and compare these two. +\end{enumerate} + Congrats, you just designed a turn-key AutoML system that does (nearly) all the -work with a few lines of code! \ No newline at end of file +work with a few lines of code! From 5b41acb013cdb92dc43c3125eed8adb86103f820 Mon Sep 17 00:00:00 2001 From: Ludwig Bothmann Date: Mon, 4 Dec 2023 15:26:38 +0100 Subject: [PATCH 5/5] update from master --- .../cart/slides-cart-nutshell-alternative.tex | 250 ++++++++++++++++++ slides/cart/slides-cart-nutshell.tex | 4 +- 2 files changed, 252 insertions(+), 2 deletions(-) create mode 100644 slides/cart/slides-cart-nutshell-alternative.tex diff --git a/slides/cart/slides-cart-nutshell-alternative.tex b/slides/cart/slides-cart-nutshell-alternative.tex new file mode 100644 index 000000000..f9ac9d649 --- /dev/null +++ b/slides/cart/slides-cart-nutshell-alternative.tex @@ -0,0 +1,250 @@ +\documentclass[11pt,compress,t,notes=noshow, xcolor=table]{beamer} + +\input{../../style/preamble} +\input{../../latex-math/basic-math.tex} +\input{../../latex-math/basic-ml.tex} + + +\newcommand{\titlefigure}{figure/cart_intro_annotated-tree.pdf} +\newcommand{\learninggoals}{ +\item Understand basic structure of CART models +\item Understand basic concepts used to fit CART models +%\item You can use this slide deck either as a first overview or a final recap +} + + +\title{Introduction to Machine Learning} +% \author{Bernd Bischl, Christoph Molnar, Daniel Schalk, Fabian Scheipl} +\institute{\href{https://compstat-lmu.github.io/lecture_i2ml/}{compstat-lmu.github.io/lecture\_i2ml}} +\date{} + +\begin{document} + +\lecturechapter{CART: In a nutshell} +\lecture{Introduction to Machine Learning} +\sloppy + +\begin{vbframe}{Learning and Prediction with CARTs} + +\begin{columns} +\begin{column}{0.1\textwidth} +\begin{center} +\vspace{1cm} +Training +\end{center} +\end{column} +\begin{column}{0.9\textwidth} +\begin{center} +%https://docs.google.com/presentation/d/1_jwVNB657IsABwu1uBogxT67VZtmKTUI/edit#slide=id.p1 + \includegraphics[width = 0.9\textwidth]{figure_man/nutshell-cart-learning.png} +\end{center} +\end{column} +\end{columns} + +\begin{columns} +\begin{column}{0.1\textwidth} +\begin{center} +\vspace{1cm} +Prediction +\end{center} +\end{column} +\begin{column}{0.9\textwidth} +\begin{center} +%https://docs.google.com/presentation/d/1VKK-QD85P_EZHpA89WgJGNqDH7J_47ou/edit#slide=id.p1 + \includegraphics[width = 0.9\textwidth]{figure_man/nutshell-cart-prediction.png} +\end{center} +\end{column} +\end{columns} + +\end{vbframe} + +\begin{vbframe}{What is a tree?} + +Basic idea: +\begin{itemize} +\item Divide feature space into sub-regions.%, and +\item For each region, learn best constant prediction from training data. % set by taking the average (mean), most frequent (mode), or middle value (median) of the response variable among the training examples belonging to that specific segment. +\end{itemize} + +\vspace{0.5cm} + + \textbf{C}lassification \textbf{A}nd \textbf{R}egression \textbf{T}rees are a class of models that can: + \begin{itemize} + \item model non-linear feature effects + \item facilitate interactions of features + \item be inherently interpreted + \end{itemize} +\end{vbframe} + +\begin{vbframe}{What is a tree?} +A decision tree is a set of hierarchical binary partitions, e.g., your evening planning decision (target) could be based on a decision tree: + + \begin{figure} + \centering +\includegraphics[width=1\textwidth, keepaspectratio]{figure/nutshell-example.pdf} + \end{figure} + + +\end{vbframe} + +\begin{vbframe}{What is a tree?} +Instead of life choices, we can predict the \texttt{Species} of flowers described in the \texttt{iris} data set using features \texttt{Sepal.Width} and \texttt{Sepal.Length}. +%A CART can be decribed by this plot: + + \begin{figure} + \centering + % FIGURE SOURCE: No source + \includegraphics[height = 6.5cm, keepaspectratio]{figure/cart_intro_annotated-tree.pdf} + \end{figure} +\end{vbframe} + +\begin{vbframe}{CART as a predictor} +Instead of the visual description, we can also describe trees through their division of the feature space $\Xspace$ into \textbf{rectangular regions}, $Q_m$: + \begin{align*} + \fx = \sum_{m=1}^M c_m \I(\xv \in Q_m), + \end{align*} + \begin{figure} + \centering +\includegraphics[width=0.7\textwidth, keepaspectratio]{figure/tree-classif-depth-3-blacklines.pdf} + \end{figure} +\end{vbframe} + + +\begin{vbframe}{Tasks for CART} + \begin{itemize} + + \item CARTs can have categorical and numerical targets. + \item In both cases, the leafs, i.e., the ultimate nodes, define the predictions. + \end{itemize} + + \begin{columns} +\begin{column}{0.48\textwidth} + + Categorical target: + \begin{figure} + \centering +\includegraphics[width=0.99\textwidth, keepaspectratio]{figure/tree-classif-depth3.pdf} + \end{figure} +\end{column} +\begin{column}{0.48\textwidth} + + Numerical target: + \begin{figure} + \centering +\includegraphics[width=0.99\textwidth, keepaspectratio]{figure/tree-regr-depth3.pdf} + \end{figure} +\end{column} +\end{columns} + +\end{vbframe} + +\begin{vbframe}{How to fit a CART} + +\begin{itemize} +\item A \emph{recursive} greedy search in the feature space optimizes CARTs +\item In each iteration, the best split is selected% determined via empirical risk minimization +%\item This recursive fitting looks like this, starting with iteration 1: +\end{itemize} + +Iteration 1: + +{\centering \includegraphics[width=0.6\textwidth]{figure/tree-classif-depth1.pdf} + +} + +\end{vbframe} + +\begin{vbframe}{How to fit a CART} + +Iteration 2: + +{\centering \includegraphics[width=0.58\textwidth]{figure/tree-classif-depth2.pdf} + +} + +Iteration 3: + +{\centering \includegraphics[width=0.58\textwidth]{figure/tree-classif-depth3.pdf} + +} + +\end{vbframe} + +\begin{vbframe}{How to fit a CART} +\begin{itemize} +\item This procedure can run until each observation has its own leaf. +\item Then, the tree will not generalize well and overfit: +\end{itemize} + +{\centering \includegraphics[width=0.58\textwidth]{figure/tree-overfitting-prediction.pdf} + +} + +\begin{itemize} +\item Thus, we need techniques to keep the tree small and informative. +%\item In fact, we already used some of these techniques for fitting the trees in this chapter. +\end{itemize} + +$\Rightarrow$ In practice, trees are often used as base learners for ensemble learners like Random Forests. + +\end{vbframe} + +% \begin{vbframe}{How to fit a CART} +% \begin{itemize} +% \item There are two options for this: +% \begin{itemize} +% \item Stop the fitting at some point +% \item Fit a deep tree and shorten ("prune") it afterwards +% \end{itemize} +% \item The fitting is typically stopped either by specifying a maximum depth of the tree or minimum number of observations per leaf. +% \item Another option is to specify a minimum decrease of the empirical risk that a split has to exceed. +% %\item A common library for fitting trees includes the following options: +% \end{itemize} + +% % Insert code with listings does not work +% %{\centering \includegraphics[width=0.9\textwidth]{figure_man/rpart.control-options.png} + +% %} + +% \end{vbframe} + +% \begin{vbframe}{Trees in Practice} + +% \begin{itemize} +% \item Trees are an attractive learner: +% \begin{itemize} +% \item (Usually) cheap to compute +% \item Interpretable +% \item Can capture complex feature effects +% \end{itemize} +% \item However, CART has high variance, hence not the best predictor +% \end{itemize} +% $\Rightarrow$ In practice, trees are mostly used as base learners for ensemble learners like Random Forests. +% \end{vbframe} + + + + + +% % BB: as we are not really talking too much about impurity anymore, I took this out +% % <>= +% % Colors = pal_3 +% % par(mar = c(5.1, 4.1, 0.1, 0.1)) +% % p = seq(1e-6, 1-1e-6, length.out = 200) +% % entropy = function(p) (p * log(p) + (1 - p) * log(1 - p))/(2 * log(0.5)) +% % gini = function(p) 2 * p * (1 - p) +% % missclassification = function(p) (1 - max(p, 1 - p)) +% % plot(p, entropy(p), type = "l", col = Colors[1], lwd = 1.5, ylab = "", +% % ylim = c(0, 0.6), xlab = expression(hat(pi)[Nk])) +% % lines(p, gini(p), col = Colors[2], lwd = 1.5) +% % lines(p, sapply(p, missclassification), col = Colors[3], lwd = 1.5) +% % legend("topright", c("Gini Index", "Entropy", "Misclassification Error"), +% % col = Colors[1:3], lty = 1) +% % @ + + + + + +\endlecture +\end{document} diff --git a/slides/cart/slides-cart-nutshell.tex b/slides/cart/slides-cart-nutshell.tex index 0db61afaa..f9ac9d649 100644 --- a/slides/cart/slides-cart-nutshell.tex +++ b/slides/cart/slides-cart-nutshell.tex @@ -36,7 +36,7 @@ \begin{column}{0.9\textwidth} \begin{center} %https://docs.google.com/presentation/d/1_jwVNB657IsABwu1uBogxT67VZtmKTUI/edit#slide=id.p1 - \includegraphics[width = 0.9\textwidth]{slides/cart/figure_man/nutshell-cart-learning.png} + \includegraphics[width = 0.9\textwidth]{figure_man/nutshell-cart-learning.png} \end{center} \end{column} \end{columns} @@ -51,7 +51,7 @@ \begin{column}{0.9\textwidth} \begin{center} %https://docs.google.com/presentation/d/1VKK-QD85P_EZHpA89WgJGNqDH7J_47ou/edit#slide=id.p1 - \includegraphics[width = 0.9\textwidth]{slides/cart/figure_man/nutshell-cart-prediction.png} + \includegraphics[width = 0.9\textwidth]{figure_man/nutshell-cart-prediction.png} \end{center} \end{column} \end{columns}