{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "02cb68e2-668c-498a-8c12-094d594808f3",
   "metadata": {},
   "source": [
    "# Gentle Introduction to ML\n",
    "\n",
    "The problems in this assignment are concerned with binary classification and nonlinear features.\n",
    "\n",
    "Your goal is to fill in the blanks, make the notebook run and reproduce the plots shown in the initial notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "23e2f365-b7e7-4a7c-8bb8-9fa40ed7a4da",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # Arrays and computing\n",
    "import matplotlib.pyplot as plt # Plotting"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7dfe82a3-9d51-43ff-bb52-aef8832ce775",
   "metadata": {},
   "source": [
    "# Utility functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5ded0d66-5507-43f6-9a94-0ee9e4837d57",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "def plot_line(ax, bias: float, w1: float, w2: float, reset_lim=True, c='black', linewidth=2, linestyle='--'):\n",
    "    \"Plot line defined by: bias + w1 * x1 + w2 * x2 = 0\"\n",
    "    xlim, ylim = ax.get_xlim(), ax.get_ylim()\n",
    "    x1_1 = 0\n",
    "    x2_1 = -(bias + w1 * x1_1) / w2\n",
    "    x1_2 = 0.1\n",
    "    x2_2 = -(bias + w1 * x1_2) / w2\n",
    "    ax.axline(\n",
    "        (x1_1, x2_1), (x1_2, x2_2),\n",
    "        label=\"$b + w_1 x_1 + w_2 x_2 = 0$\",\n",
    "        c=c, linewidth=linewidth, linestyle=linestyle\n",
    "    )\n",
    "    if reset_lim:\n",
    "        ax.set_xlim(xlim); ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "83300898-6a25-4c9e-b714-298706f54c62",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "def plot_classification(\n",
    "    X, y, bias=None, w1=None, w2=None, *,\n",
    "    title=None, colors=['red', 'green'], markers=['_', '+']\n",
    "):\n",
    "    mask_neg = y == -1\n",
    "    mask_pos = y == +1\n",
    "    \n",
    "    fig, ax = plt.subplots()\n",
    "    ax.scatter(X[mask_neg, 0], X[mask_neg, 1], c=colors[0], marker=markers[0], label='$-1$')\n",
    "    ax.scatter(X[mask_pos, 0], X[mask_pos, 1], c=colors[1], marker=markers[1], label='$+1$')\n",
    "    ax.grid()\n",
    "    ax.set_xlabel('x0'); ax.set_ylabel('x1')\n",
    "    if title:\n",
    "        ax.set_title(title)\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ffc8644d-ccad-4140-9fdd-b27108a1155e",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "def plot_decision_function(ax, decision_function: \"function\", linewidth=2, c='black', linestyle='--'):\n",
    "    \"Plot curve defined by: decision_function([x0, x1]) = 0\"\n",
    "    phi(np.zeros(2)) # Phi must accept a 2D vector\n",
    "    xlim, ylim = ax.get_xlim(), ax.get_ylim()\n",
    "    x0, x1 = np.linspace(*xlim, num=100), np.linspace(*ylim, num=100)\n",
    "    Z = np.array([\n",
    "        [\n",
    "            decision_function(np.array([x0[i], x1[j]]))\n",
    "            for i in range(len(x0))\n",
    "        ]\n",
    "        for j in range(len(x1))\n",
    "    ])\n",
    "    ax.contour(x0, x1, Z, levels=[0], colors=c, linewidths=linewidth, linestyles=linestyle)\n",
    "    ax.set_xlim(xlim); ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05e9376d-e405-4d65-a014-2e52e64b5c87",
   "metadata": {},
   "source": [
    "# Linearly separable data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3739c8a4-be67-4108-8d09-9e25d2d0acba",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "def generate_separable(N: int, p=0.4, *, seed=None):\n",
    "    rng = np.random.default_rng(seed)\n",
    "    s1 = rng.multivariate_normal(\n",
    "        [-1, -1],\n",
    "        0.3 * np.array([[1, 0.0], [0., 1]]),\n",
    "        int(N * p)\n",
    "    )\n",
    "    s2 = rng.multivariate_normal(\n",
    "        [1, 0],\n",
    "        0.3 * np.array([[1, -0.5], [-0.5, 1]]),\n",
    "        int(N * (1 - p))\n",
    "    )\n",
    "    X = np.vstack([s1, s2])\n",
    "    y = np.concat([\n",
    "        np.full(s1.shape[0], -1),\n",
    "        np.full(s2.shape[0], 1),\n",
    "    ])\n",
    "    idxs = np.arange(len(y))\n",
    "    rng.shuffle(idxs)\n",
    "    return X[idxs, :], y[idxs]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ab865ff2-f5eb-45aa-8f67-43ba301b4d0c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Labels: [ 1 -1  1  1  1 -1  1  1  1  1 -1 -1  1 -1  1  1  1  1  1 -1 -1  1 -1  1\n",
      " -1  1  1 -1 -1  1  1 -1 -1 -1  1  1  1  1  1  1  1  1 -1 -1 -1 -1  1  1\n",
      " -1 -1]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_sep, y_sep = generate_separable(50, seed=6)\n",
    "print('Labels:', y_sep)\n",
    "fig = plot_classification(X_sep, y_sep, title=\"Linearly separable dataset\")\n",
    "fig.gca().legend(); fig;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5380bd72-f761-4d20-9c9b-059b8aeb1656",
   "metadata": {},
   "source": [
    "## Implement the perceptron learning algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1858eeb9-755c-4791-ae4d-0bf0fe1069a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def perceptron_fit(X: np.ndarray, y: np.ndarray, max_iterations=1000):\n",
    "    if not np.all(np.abs(y) == 1):\n",
    "        raise ValueError(\"Labels must be exactly +1 or -1\")\n",
    "    nobs, nfeat = X.shape\n",
    "    bias, weights = 0, np.zeros(nfeat)\n",
    "    for epoch in range(max_iterations):\n",
    "        n_mistakes = 0\n",
    "        # YOUR CODE HERE\n",
    "    if n_mistakes > 0:\n",
    "        print(f'WARN: still have {n_mistakes} misclassifications')\n",
    "    return bias, weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3151e6f4-64d1-4184-a293-e0a79f82ce57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(np.int64(0), array([ 2.13077012, -0.20429922]))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bias, weights = perceptron_fit(X_sep, y_sep)\n",
    "bias, weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "02f486f6-7b09-41f9-9397-87156aaf43df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_classification(X_sep, y_sep)\n",
    "plot_line(fig.gca(), bias, weights[0], weights[1])\n",
    "fig.gca().legend(); fig;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8a4581a-8b38-4f36-949c-6b805c485304",
   "metadata": {},
   "source": [
    "## Show dependence on the _order_ of observations\n",
    "\n",
    "Show that you may get a different separating line depending on the order in which observations are processed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dadd11c6-600e-4f52-9a2f-ed800d18232e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# YOUR CODE HERE"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4920449-0c9f-46fc-9421-6baed136a826",
   "metadata": {},
   "source": [
    "# Data that are _not_ linearly separable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "28c2f8d9-f15b-4264-bf69-ca1d0bcc4e70",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "def generate_ellipse(N: int, a1=1, a2=1, *, seed=None):\n",
    "    rng = np.random.default_rng(seed)\n",
    "    X = rng.uniform(-2, 2, size=(N, 2))\n",
    "    y = 2 * (a1 * X[:, 0]**2 + a2 * X[:, 1]**2 <= 1) - 1\n",
    "    idxs = np.arange(N)\n",
    "    rng.shuffle(idxs)\n",
    "    return X[idxs, :], y[idxs]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ecdbc50f-ed64-48ba-8f49-d245c0d11e0c",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "def generate_bumps(N: int, a1=1, a2=1, *, seed=None):\n",
    "    rng = np.random.default_rng(seed)\n",
    "    X = rng.uniform(-2, 2, size=(N, 2))\n",
    "    y = 2 * (a1 * np.sin(3 * X[:, 0]) + a2 * np.sin(3 * X[:, 1]) > 0) - 1\n",
    "    idxs = np.arange(N)\n",
    "    rng.shuffle(idxs)\n",
    "    return X[idxs, :], y[idxs]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8f4ea6ca-4e08-4227-ab29-53fbec4891e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_circ, y_circ = generate_ellipse(700, 0.5, seed=9)\n",
    "plot_classification(X_circ, y_circ, title=\"Not linearly separable\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2354e091-ac78-4202-ae16-da9ab6c441c8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARN: still have 294 misclassifications\n"
     ]
    }
   ],
   "source": [
    "bias_circ, weights_circ = # Fit the perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "30104e90-5e31-4bf4-bac8-ec35e04b779e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_classification(X_circ, y_circ, title=\"Not really a separating line, is it?\")\n",
    "ax = fig.gca()\n",
    "plot_line(ax, bias_circ, weights_circ[0], weights_circ[1])\n",
    "ax.legend(); fig;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "735536db-1a4c-474a-be3d-7a7a83ccc22a",
   "metadata": {},
   "source": [
    "## Use additional features to make data separable\n",
    "\n",
    "1. Currently observations are two-dimensional: $\\mathbf x_n = (x_{n,1}, x_{n,2}) \\in \\mathbb R^2$.\n",
    "2. Manualy design more features/dimensions to make the updated data separable in the new, higher-dimensional space: $$\\mathbf x_n^* = \\phi(\\mathbf x_n) = (x_{n,1}, x_{n,2}, f_{n,1}, f_{n, 2}, \\dots)$$What transformation of the original data may help here?\n",
    "\n",
    "The new separating curve will look like this:\n",
    "$$\n",
    "(x_0, x_1): b + \\mathbf w^\\top \\phi(x_0, x_1) = 0\n",
    "$$\n",
    "Note that this is potentially nonlinear in the original features $(x_{n,1}, x_{n,2})$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ea340021-0be0-459b-b005-f67726420cc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def phi(xn: np.ndarray) -> np.ndarray:\n",
    "    # Come up with new features that result in a better decision function\n",
    "    feat_1 = 0\n",
    "    feat_2 = xn[0] - xn[1]\n",
    "    feat_3 = xn[0] + xn[1]\n",
    "    return np.array([xn[0], xn[1], feat_1, feat_2, feat_3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "41c64db0-d79f-43b6-99e1-f16129ea8162",
   "metadata": {},
   "outputs": [],
   "source": [
    "# X_new[n, :] = phi(X_circ[n, :]) for all n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "12d43839-6e47-4bb8-9f08-11eff604b460",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(np.int64(41), array([ -0.06194557,   0.73217621, -20.46087271, -40.8707277 ]))"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_circ_transformed = np.apply_along_axis(phi, axis=1, arr=X_circ)\n",
    "bias_circ_transformed, weights_circ_transformed = perceptron_fit(X_circ_transformed, y_circ)\n",
    "bias_circ_transformed, weights_circ_transformed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7c98962a-7040-40dd-90cd-1366344f8f18",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_classification(X_circ, y_circ, title=\"Now THAT is a separating curve!\")\n",
    "plot_decision_function(\n",
    "    fig.gca(),\n",
    "    lambda x: bias_circ_transformed + weights_circ_transformed.dot(phi(x))\n",
    ")\n",
    "fig;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6c16cc3-d98a-49b0-9dde-936c48433799",
   "metadata": {},
   "source": [
    "Note that the separating curve is:\n",
    "- _nonlinear_ in the original features $(x_{n,0}, x_{n,1})$\n",
    "- _linear_ in the new high-dimensional features"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc4b0d60-ffa4-458f-b16f-871d811f0988",
   "metadata": {},
   "source": [
    "## Use an infinite amount of features with an SVM\n",
    "\n",
    "The RBF kernel can be thought of as a dot product of infinite-dimensional feature vectors (see https://stats.stackexchange.com/a/58607 and https://stats.stackexchange.com/a/420482, for example).\n",
    "\n",
    "Use [`sklearn.svm.SVC`](https://sklearn.org/stable/modules/generated/sklearn.svm.SVC.html), tune the `C` parameter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "41c97486-915f-46b9-bdf7-8e034b71cfcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_bumps, y_bumps = generate_bumps(1000, seed=9)\n",
    "plot_classification(X_bumps, y_bumps, title=\"Not linearly separable\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4927ce38-8d5c-49d3-876a-da543dbbf809",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.svm import SVC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "74c27dd7-08dd-46cb-9924-65ce6d0995e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "classifier = ... # Train an SVC classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "d306ebc0-a8f4-42e1-a3d1-f7bc91d07335",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_classification(X_bumps, y_bumps, title=\"A highly nonlinear separating curve\")\n",
    "plot_decision_function(\n",
    "    fig.gca(),\n",
    "    lambda x: classifier.decision_function(x[None, :])[0]\n",
    ")\n",
    "fig;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f956520b-6bc9-4368-91b9-5f99faafc282",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.14.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
