{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 4 - Decision trees and random forests\n",
    "\n",
    "In this tutorial, we'll take a look at decision trees, their splitting criteria and reandom forests."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy import stats\n",
    "from sklearn.datasets import load_iris\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.tree import DecisionTreeClassifier, plot_tree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's again use the Iris dataset as our example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = load_iris()\n",
    "X = iris.data\n",
    "y = iris.target\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "print(f\"Features: {iris.feature_names}\")\n",
    "print(f\"Target Classes: {iris.target_names}\")"
   ]
  },
  {
   "attachments": {
    "125ae006-9392-49ba-8bdd-ac761c921a7d.png": {
     "image/png": "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"
    },
    "c85f2c71-eec2-48fa-a851-e872ecd8667d.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision trees\n",
    "\n",
    "A Decision Tree is a flowchart-like structure where an internal node represents a feature (or attribute), the branch represents a decision rule, and each leaf node represents the outcome (class label or continuous value). The goal is to split the data into groups that are as distinct (homogeneous) as possible. To do this, the tree asks a series of True/False questions.\n",
    "\n",
    "![Decision tree](attachment:125ae006-9392-49ba-8bdd-ac761c921a7d.png)\n",
    "\n",
    "![Feature space regions](attachment:c85f2c71-eec2-48fa-a851-e872ecd8667d.png)\n",
    "\n",
    "([source](https://link.springer.com/book/9780387310732))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_sklearn = DecisionTreeClassifier(criterion='gini', max_depth=3, random_state=42)\n",
    "model_sklearn.fit(X_train, y_train)\n",
    "\n",
    "print(f\"Train accuracy: {accuracy_score(y_train, model_sklearn.predict(X_train)):.2f}\")\n",
    "print(f\"Test accuracy: {accuracy_score(y_test, model_sklearn.predict(X_test)):.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.figure(figsize=(12,8))\n",
    "plot_tree(model_sklearn, feature_names=iris.feature_names, class_names=iris.target_names, filled=True, impurity=False)\n",
    "plt.title(\"A Decision Tree on Iris Data\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training a decision tree\n",
    "\n",
    "The training process of training a decision tree is essentially a process of dividing the set of all training samples.\n",
    "\n",
    "1. We start with one leaf node containing all the samples.\n",
    "2. We can convert a leaf node to a decision node and add 2 leaf nodes under it. We try to find the most consistent split.\n",
    "3. We define some stoping citeria, such as the maximum depth of the tree or the minimum number of samples in a leaf node\n",
    "4. We split all nodes as long as the stopping criteria aren't met (DFS, but that doesn't matter)\n",
    "\n",
    "#### Splitting criteria\n",
    "\n",
    "We need to define a way of finding the best split in each step. Given a node $\\mathcal{T}$, the goal is to find:\n",
    "- A feature and\n",
    "- A value\n",
    "Such that splitting $\\mathcal{T}$ by this boundary into $\\mathcal{T}_L$ and $\\mathcal{T}_R$ leads to the best prediction.\n",
    "\n",
    "Suppose we have an *impurity criterion* $c$ telling us how homogenous the samples of $\\mathcal{T}$ are. Then we can choose such a split that minimizes $c(\\mathcal{T}_L) + c(\\mathcal{T}_R) - c(\\mathcal{T})$.\n",
    "\n",
    "Let $C$ be a set of classes, $I_\\mathcal{T}$ the set of samples in the node $\\mathcal{T}$ and $p_\\mathcal{T}(k)$ the average empirical probability of class $k$ for samples in node $\\mathcal{T}$. For classification, the typical criteria are the Gini index and the entropy criterion:\n",
    "\n",
    "$$c_\\mathrm{gini}(\\mathcal{T}) = \\lvert I_\\mathcal{T} \\rvert \\sum_k^C p_\\mathcal{T}(k) (1-p_\\mathcal{T}(k))$$\n",
    "$$c_\\mathrm{entropy}(\\mathcal{T}) = - \\lvert I_\\mathcal{T} \\rvert \\sum_k^C p_\\mathcal{T}(k) \\log p_\\mathcal{T}(k)$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 1\n",
    "\n",
    "Finish the implementation of a decision tree."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Node:\n",
    "    def __init__(self, feature_index=None, threshold=None, left=None, right=None, criterion_change=None, value=None):\n",
    "        # Decision node\n",
    "        self.feature_index = feature_index # Number corresponding to the decision feature\n",
    "        self.threshold = threshold # Threshold feature value\n",
    "        self.left = left # Left subtree\n",
    "        self.right = right # Right subtree\n",
    "        self.criterion_change = criterion_change # c(T_L) + c(T_R) - c(T)\n",
    "        \n",
    "        # Leaf node\n",
    "        self.value = value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class MyDecisionTree:\n",
    "    def __init__(self, min_samples_split=2, max_depth=3, criterion=\"gini\"):\n",
    "        self.root = None\n",
    "        self.min_samples_split = min_samples_split\n",
    "        self.max_depth = max_depth\n",
    "        self.criterion = criterion\n",
    "\n",
    "    def build_tree(self, X, y, curr_depth=0):\n",
    "        num_samples, num_features = np.shape(X)\n",
    "        \n",
    "        # Check stopping criteria\n",
    "        if num_samples >= self.min_samples_split and curr_depth <= self.max_depth:\n",
    "            # Find the best split\n",
    "            best_split = self.find_best_split(X, y, num_samples, num_features)\n",
    "            \n",
    "            # TODO\n",
    "\n",
    "        return Node(value=np.argmax(np.bincount(y)))\n",
    "    \n",
    "    def find_best_split(self, X, y, num_samples, num_features):\n",
    "        best_split = {\"criterion_change\": float(\"inf\")}\n",
    "        \n",
    "        # TODO\n",
    "                        \n",
    "        return best_split\n",
    "    \n",
    "    def split(self, X, y, feature_index, threshold):\n",
    "        # Splitting logic: <= threshold goes left, > goes right\n",
    "        X_left = np.array([row for row in X if row[feature_index] <= threshold])\n",
    "        y_left = np.array([y[i] for i in range(y.shape[0]) if X[i][feature_index] <= threshold])\n",
    "        X_right = np.array([row for row in X if row[feature_index] > threshold])\n",
    "        y_right = np.array([y[i] for i in range(y.shape[0]) if X[i][feature_index] > threshold])\n",
    "        return X_left, y_left, X_right, y_right\n",
    "    \n",
    "    def criterion_change(self, y_parent, y_left, y_right):\n",
    "        return self.criterion_value(y_left) + self.criterion_value(y_right) - self.criterion_value(y_parent)\n",
    "\n",
    "    def criterion_value(self, y):\n",
    "        if self.criterion == \"gini\":\n",
    "            return self.gini_index(y)\n",
    "        else:\n",
    "            raise NotImplementedError\n",
    "    \n",
    "    def gini_index(self, y):\n",
    "        # TODO\n",
    "    \n",
    "    def fit(self, X, y):\n",
    "        self.root = self.build_tree(X, y)\n",
    "    \n",
    "    def predict(self, X):\n",
    "        predictions = [self.make_prediction(x, self.root) for x in X]\n",
    "        return predictions\n",
    "    \n",
    "    def make_prediction(self, x, node):\n",
    "        if node.value is not None:\n",
    "            return node.value\n",
    "\n",
    "        if x[node.feature_index] <= node.threshold:\n",
    "            return self.make_prediction(x, node.left)\n",
    "        else:\n",
    "            return self.make_prediction(x, node.right)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_manual = MyDecisionTree()\n",
    "model_manual.fit(X_train, y_train)\n",
    "\n",
    "print(f\"Train accuracy: {accuracy_score(y_train, model_manual.predict(X_train)):.2f}\")\n",
    "print(f\"Test accuracy: {accuracy_score(y_test, model_manual.predict(X_test)):.2f}\")"
   ]
  },
  {
   "attachments": {
    "bdcba2f3-0c51-4989-8cf1-ceda8f2fb168.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random forrests\n",
    "\n",
    "A single Decision Tree is prone to overfitting - it can become too complex and memorize the noise in the training data. A Random Forest is an ensemble method that trains many decision trees on random subsets of the data and averages their predictions.\n",
    "\n",
    "To mitigate this, we can generally use *ensembling* - combining several models to achieve superior performance.\n",
    "\n",
    "![Ensembling](attachment:bdcba2f3-0c51-4989-8cf1-ceda8f2fb168.png)\n",
    "\n",
    "([source](https://ufal.mff.cuni.cz/~courses/npfl129/2526/slides/?09#5))\n",
    "\n",
    "### Using ensembling for decision trees\n",
    "\n",
    "We use ensembling to combine multiple decision trees, each of which is modified in 2 ways:\n",
    "- **Bagging**: Training each tree on a random sample of the data with replacement.\n",
    "- **Feature Randomness**: When splitting a node, the algorithm searches for the best feature among a random subset of features, not all features.\n",
    "\n",
    "To predict, we use the majority voting scheme accross all the trees in the ensemble."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_rf_sklearn = RandomForestClassifier(n_estimators=100, criterion='gini', random_state=42)\n",
    "model_rf_sklearn.fit(X_train, y_train)\n",
    "\n",
    "print(f\"Train Accuracy: {accuracy_score(y_train, model_rf_sklearn.predict(X_train)):.2f}\")\n",
    "print(f\"Test Accuracy: {accuracy_score(y_test, model_rf_sklearn.predict(X_test)):.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 2\n",
    "Finish the implementation of a random forrest. Use the `DecisionTreeClassifier` from scikit-learn. Hint: to implement feature randomness, pass the `max_features` argument to `DecisionTreeClassifier`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class MyRandomForest:\n",
    "    def __init__(self, n_estimators=100, max_depth=3, max_features='sqrt'):\n",
    "        self.n_estimators = n_estimators\n",
    "        self.max_depth = max_depth\n",
    "        self.max_features = max_features\n",
    "        self.trees = []\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        # TODO\n",
    "            \n",
    "    def predict(self, X):\n",
    "        tree_preds = np.array([tree.predict(X) for tree in self.trees])\n",
    "        y_pred = stats.mode(tree_preds, axis=0, keepdims=True)[0]\n",
    "        \n",
    "        return y_pred.flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_rf_manual = MyRandomForest()\n",
    "model_rf_manual.fit(X_train, y_train)\n",
    "\n",
    "print(f\"Train Accuracy: {accuracy_score(y_train, model_rf_manual.predict(X_train)):.2f}\")\n",
    "print(f\"Test Accuracy: {accuracy_score(y_test, model_rf_manual.predict(X_test)):.2f}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "nsn",
   "language": "python",
   "name": "nsn"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
