{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "ZurpBM7xNI1E" }, "source": [ "# Path solution\n" ] }, { "cell_type": "markdown", "metadata": { "id": "J7xL_K8gBmyx" }, "source": [ "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", "\n", "We use the simulated data together with different `loss` function and `constraint` to solve the optimization problem. Meanwhile, a plot of path solution concerning different C values will be displayed.\n", "\n", "\n", "* All the following test used `warm-start` technique.\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "I5W3Bs0PGsZ3" }, "source": [ "#### SVM with `nonnegative` constraint" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "_PHcHtOuM42z" }, "outputs": [], "source": [ "## generate data\n", "import numpy as np\n", "\n", "np.random.seed(1042)\n", "n, d, C = 1000, 5, 0.5\n", "X = np.random.randn(n, d)\n", "beta0 = np.random.randn(d)\n", "y = np.sign(X.dot(beta0) + np.random.randn(n))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "_aozzhwSAjZn" }, "outputs": [], "source": [ "## define loss function\n", "loss = {\"name\": \"SVM\"}\n", "\n", "## define constraint\n", "constraint = [{\"name\": \"nonnegative\"}]\n", "\n", "## define value of Cs\n", "Cs = np.logspace(-5, 3, 20)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "-sdqsKWNP2h9", "outputId": "a84f2498-5eec-4534-aedf-ce1f36df6837" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "PLQ ERM Path Solution Results\n", "==========================================================================================\n", "C Value Iterations Time (s) Loss L2 Norm \n", "------------------------------------------------------------------------------------------\n", "1e-05 3 0.001964 995.663000 0.006600 \n", "2.637e-05 1 0.000679 988.564800 0.017400 \n", "6.952e-05 1 0.000593 969.850000 0.045800 \n", "0.0001833 1 0.000593 920.509600 0.120700 \n", "0.0004833 2 0.000522 791.465800 0.316700 \n", "0.001274 8 0.000578 634.164300 0.590300 \n", "0.00336 13 0.000771 541.042400 0.860000 \n", "0.008859 16 0.000767 495.021900 1.113600 \n", "0.02336 48 0.000763 474.343400 1.346800 \n", "0.06158 286 0.004387 463.425100 1.612800 \n", "0.1624 68 0.000982 461.875400 1.711300 \n", "0.4281 676 0.001370 461.471000 1.776600 \n", "1.129 1813 0.002026 461.420300 1.829500 \n", "2.976 2068 0.002215 461.403400 1.835800 \n", "7.848 2639 0.002831 461.438100 1.841200 \n", "20.69 2826 0.003130 461.454300 1.844800 \n", "54.56 3376 0.004949 461.456300 1.844700 \n", "143.8 3429 0.005815 461.450600 1.844700 \n", "379.3 3429 0.019599 461.450600 1.844700 \n", "1000 3429 0.004155 461.450600 1.844700 \n", "==========================================================================================\n", "Total Time 0.058876 sec\n", "Avg Time/Iter0.000002 sec\n", "==========================================================================================\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## solve SVM and show path solution via `plqERM_Ridge_path_sol`\n", "from rehline import plqERM_Ridge_path_sol\n", "\n", "Cs, times, n_iters, losses, norms, coefs = plqERM_Ridge_path_sol(\n", " X,\n", " y,\n", " loss=loss,\n", " Cs=Cs,\n", " max_iter=200000,\n", " tol=1e-4,\n", " verbose=2,\n", " warm_start=True,\n", " constraint=constraint,\n", " return_time=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "f8bC1orCGC8c" }, "source": [ "#### SVM with `fair` constraint" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "Qt6RmXkhGCbo" }, "outputs": [], "source": [ "## simulate data\n", "import numpy as np\n", "from sklearn.datasets import make_classification\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "scaler = StandardScaler()\n", "\n", "n, d = 10000, 5\n", "X, y = make_classification(n_samples=n, n_features=d, n_redundant=0)\n", "## convert y to +1/-1\n", "y = 2 * y - 1\n", "X = scaler.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "8gGJhhv4KuKA" }, "outputs": [], "source": [ "## we take the first column of X as sensetive features, and tol is 0.1\n", "sen_idx = [0]\n", "tol_sen = 0.1\n", "# define constraint\n", "constraint = [{\"name\": \"fair\", \"sen_idx\": sen_idx, \"tol_sen\": tol_sen}]\n", "# define loss function\n", "loss = {\"name\": \"SVM\"}\n", "# define value of Cs\n", "Cs = np.logspace(-4, 2, 30)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "xjVWDso8KxhP", "outputId": "356f872e-b01a-4dc3-d0ee-fe3f3ab98b01" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "PLQ ERM Path Solution Results\n", "==========================================================================================\n", "C Value Iterations Time (s) Loss L2 Norm \n", "------------------------------------------------------------------------------------------\n", "0.0001 12 0.003890 5972.764500 0.578600 \n", "0.000161 3 0.002714 5240.628500 0.721300 \n", "0.0002593 3 0.002834 4681.713900 0.865200 \n", "0.0004175 4 0.002385 4289.990700 1.002700 \n", "0.0006723 3 0.002681 3969.397000 1.159200 \n", "0.001083 4 0.002964 3761.419300 1.302600 \n", "0.001743 5 0.002581 3596.565300 1.466700 \n", "0.002807 20 0.003389 3486.067800 1.623000 \n", "0.00452 11 0.003425 3411.601500 1.777500 \n", "0.007279 20 0.003167 3366.919700 1.916000 \n", "0.01172 30 0.004878 3339.163800 2.043100 \n", "0.01887 33 0.003196 3324.690900 2.144600 \n", "0.03039 114 0.003661 3318.217200 2.216600 \n", "0.04894 265 0.007217 3315.451400 2.267100 \n", "0.0788 159 0.004054 3313.904600 2.310200 \n", "0.1269 835 0.008838 3313.253500 2.339800 \n", "0.2043 1103 0.013295 3312.989100 2.359600 \n", "0.329 713 0.016122 3312.932600 2.367300 \n", "0.5298 1901 0.023764 3312.909400 2.374600 \n", "0.8532 994 0.005804 3312.905000 2.378000 \n", "1.374 2094 0.008422 3312.905300 2.381100 \n", "2.212 3589 0.036307 3312.906200 2.381200 \n", "3.562 1758 0.028580 3312.908800 2.383200 \n", "5.736 2506 0.040888 3312.908800 2.383200 \n", "9.237 2479 0.043123 3312.908700 2.383200 \n", "14.87 2479 0.046010 3312.908700 2.383200 \n", "23.95 2479 0.042148 3312.908700 2.383200 \n", "38.57 2479 0.039667 3312.908700 2.383200 \n", "62.1 2479 0.040740 3312.908700 2.383200 \n", "100 2479 0.041395 3312.908700 2.383200 \n", "==========================================================================================\n", "Total Time 0.488429 sec\n", "Avg Time/Iter0.000016 sec\n", "==========================================================================================\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## solve FairSVM and show path solution via `plqERM_Ridge_path_sol`\n", "from rehline import plqERM_Ridge_path_sol\n", "\n", "Cs, times, n_iters, losses, norms, coefs = plqERM_Ridge_path_sol(\n", " X,\n", " y,\n", " loss=loss,\n", " Cs=Cs,\n", " max_iter=2000000,\n", " tol=1e-4,\n", " verbose=2,\n", " warm_start=True,\n", " constraint=constraint,\n", " return_time=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "gBJKC2i3QvRf" }, "source": [ "#### `Quantile regression` without any constraint" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "CHl2pnAgP22T" }, "outputs": [], "source": [ "## simulate data\n", "import numpy as np\n", "from sklearn.datasets import make_regression\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "scaler = StandardScaler()\n", "\n", "n, d = 10000, 5\n", "X, y = make_regression(n_samples=n, n_features=d, noise=1.0)\n", "X = scaler.fit_transform(X)\n", "## add intercept\n", "X = np.hstack((X, np.ones((n, 1))))\n", "y = y / y.std()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "xkbOmo6ORSju" }, "outputs": [], "source": [ "## define loss function\n", "loss = {\"name\": \"QR\", \"qt\": 0.05}\n", "\n", "# define value of Cs\n", "Cs = np.logspace(-5, 0, 20)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "o5LAIlm5RYeW", "outputId": "c580fe76-fb42-432d-fdf4-109c44cc3fb4" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "PLQ ERM Path Solution Results\n", "==========================================================================================\n", "C Value Iterations Time (s) Loss L2 Norm \n", "------------------------------------------------------------------------------------------\n", "1e-05 0 0.004709 3543.001300 0.058100 \n", "1.833e-05 0 0.003891 3277.611200 0.104300 \n", "3.36e-05 0 0.003566 2835.021100 0.183600 \n", "6.158e-05 0 0.003944 2176.310400 0.308200 \n", "0.0001129 0 0.003700 1435.686300 0.464300 \n", "0.0002069 0 0.003558 905.373700 0.596400 \n", "0.0003793 3 0.007558 286.819900 0.801800 \n", "0.0006952 2 0.006340 101.797200 0.911600 \n", "0.001274 2 0.006275 10.476100 0.994100 \n", "0.002336 2 0.006263 7.682400 1.000500 \n", "0.004281 7 0.012215 7.705400 0.998900 \n", "0.007848 15 0.019309 7.286400 1.000500 \n", "0.01438 31 0.033054 7.254300 1.000800 \n", "0.02637 121 0.080112 7.214700 1.000800 \n", "0.04833 238 0.153759 7.209100 1.001000 \n", "0.08859 256 0.156395 7.209400 1.001100 \n", "0.1624 412 0.224236 7.207500 1.001100 \n", "0.2976 375 0.227330 7.208600 1.001200 \n", "0.5456 349 0.215738 7.208100 1.001200 \n", "1 301 0.176951 7.208100 1.001200 \n", "==========================================================================================\n", "Total Time 1.349375 sec\n", "Avg Time/Iter0.000638 sec\n", "==========================================================================================\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## solve QR and show path solution via `plqERM_Ridge_path_sol`\n", "from rehline import plqERM_Ridge_path_sol\n", "\n", "Cs, times, n_iters, losses, norms, coefs = plqERM_Ridge_path_sol(\n", " X, y, loss=loss, Cs=Cs, max_iter=10000, tol=1e-4, verbose=2, warm_start=True, return_time=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `Ridge Composite Quantile Regression`" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "## simulate data\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.datasets import make_friedman1\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "X, y = make_friedman1(n_samples=500, n_features=6, noise=1.0, random_state=42)\n", "X = StandardScaler().fit_transform(X)\n", "y = y / y.std()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "## define the quantiles\n", "quantiles = [0.1, 0.5, 0.9]\n", "## define the value of Cs\n", "Cs = np.logspace(-4, 0, 30)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "## solve the Ridge Composite Quantile Regression\n", "from rehline import CQR_Ridge_path_sol\n", "\n", "Cs, models, coefs, intercepts, fit_times = CQR_Ridge_path_sol(\n", " X, y, quantiles=quantiles, Cs=Cs, max_iter=100000, tol=1e-4, verbose=0, shrink=1, warm_start=True, return_time=True\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "target_index = 1\n", "log_Cs = np.log10(Cs)\n", "\n", "## Coefficient path plot\n", "# all three quantiles share the same coefficient\n", "# here only plot path solution for one quantile\n", "plt.figure(figsize=(8, 5))\n", "for j in range(coefs.shape[2]):\n", " plt.plot(log_Cs, coefs[:, target_index, j], label=f\"feature {j}\")\n", "plt.xlabel(\"log10(C)\")\n", "plt.ylabel(f\"Coefficient value (q = {quantiles[target_index]})\")\n", "plt.title(f\"CQR Ridge Coefficient Path at Quantile {quantiles[target_index]}\")\n", "plt.grid(True)\n", "plt.legend(loc=\"best\", fontsize=\"small\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Intercept path plot\n", "plt.figure(figsize=(8, 5))\n", "n_quantiles = intercepts.shape[1]\n", "\n", "for q in range(n_quantiles):\n", " plt.plot(log_Cs, intercepts[:, q], marker=\"o\", label=f\"Intercept (q={quantiles[q]:.2f})\")\n", "\n", "plt.xlabel(\"log10(C)\")\n", "plt.ylabel(\"Intercept Value\")\n", "plt.title(\"CQR Ridge Intercept Path Across Quantiles\")\n", "plt.grid(True)\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 0 }