{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "\n", "![](img/banner.png)\n", "%%HTML\n", "\n", "\n", "# Lecture 3: Kernel Trick\n", "\n", "**Making linear models non-linear**\n", "\n", "**Mahmood Amintoosi, Spring 2024**\n", "\n", "Computer Science Dept, Ferdowsi University of Mashhad\n", "\n", "I should mention that the original material of this course was from [Open Machine Learning Course](https://ml-course.github.io/), by [Joaquin Vanschoren](https://github.com/joaquinvanschoren) and others." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **Note:** Kernel trick, which is also known as *[kernel method](https://en.wikipedia.org/wiki/Kernel_method)* or *kernel machines* are a class of algorithms for pattern analysis, where involve using linear classifiers to solve nonlinear problems. These methods are different from *[kernelization](https://en.wikipedia.org/wiki/Kernelization)*, that is a technique for designing efficient algorithms that achieve their efficiency by a preprocessing stage in which inputs to the algorithm are replaced by a smaller input, called a \"kernel\".\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "editable": true, "slideshow": { "slide_type": "skip" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "# Auto-setup when running on Google Colab\n", "import os\n", "if 'google.colab' in str(get_ipython()) and not os.path.exists('/content/machine-learning'):\n", " !git clone -q https://github.com/fum-cs/machine-learning.git /content/machine-learning\n", " !pip --quiet install -r /content/machine-learning/requirements_colab.txt\n", " %cd machine-learning/notebooks\n", "\n", "# Global imports and settings\n", "%matplotlib inline\n", "from preamble import *\n", "interactive = True # Set to True for interactive plots\n", "if interactive:\n", " fig_scale = 0.5\n", " plt.rcParams.update(print_config)\n", "else: # For printing\n", " fig_scale = 1.3\n", " plt.rcParams.update(print_config)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "## Feature Maps\n", "* Linear models: $\\hat{y} = \\mathbf{w}\\mathbf{x} + w_0 = \\sum_{i=1}^{p} w_i x_i + w_0 = w_0 + w_1 x_1 + ... + w_p x_p $ \n", "\n", "* When we cannot fit the data well, we can add non-linear transformations of the features\n", "* Feature map (or _basis expansion_ ) $\\phi$ : $ X \\rightarrow \\mathbb{R}^d $\n", "\n", "$$y=\\textbf{w}^T\\textbf{x} \\rightarrow y=\\textbf{w}^T\\phi(\\textbf{x})$$ \n", "\n", "* E.g. Polynomial feature map: all polynomials up to degree $d$ and all products\n", "\n", "$$[1, x_1, ..., x_p] \\xrightarrow{\\phi} [1, x_1, ..., x_p, x_1^2, ..., x_p^2, ..., x_p^d, x_1 x_2, ..., x_{p-1} x_p]$$\n", "\n", "* Example with $p=1, d=3$ :\n", "\n", "$$y=w_0 + w_1 x_1 \\xrightarrow{\\phi} y=w_0 + w_1 x_1 + w_2 x_1^2 + w_3 x_1^3$$ \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Ridge regression example" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Weights: [0.418]\n" ] }, { "data": { "application/pdf": 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\n", "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "X, y = mglearn.datasets.make_wave(n_samples=100)\n", "line = np.linspace(-3, 3, 1000, endpoint=False).reshape(-1, 1)\n", "reg = Ridge().fit(X, y)\n", "print(\"Weights:\",reg.coef_)\n", "fig = plt.figure(figsize=(8*fig_scale,4*fig_scale))\n", "plt.plot(line, reg.predict(line), label=\"linear regression\", lw=2*fig_scale)\n", "\n", "plt.plot(X[:, 0], y, 'o', c='k')\n", "plt.ylabel(\"Regression output\")\n", "plt.xlabel(\"Input feature\")\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "* Add all polynomials $x^d$ up to degree 10 and fit again:\n", " * e.g. use sklearn `PolynomialFeatures`" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 x0x0^2x0^3x0^4x0^5x0^6x0^7x0^8x0^9x0^10
0-0.7527590.566647-0.4265480.321088-0.2417020.181944-0.1369600.103098-0.0776080.058420
12.7042867.31316219.77688053.482337144.631526391.1249881057.7137672860.3603627735.23202120918.278410
21.3919641.9375632.6970173.7541505.2256407.27390110.12500514.09363919.61783427.307312
30.5919510.3504060.2074230.1227840.0726820.0430240.0254680.0150760.0089240.005283
4-2.0638884.259634-8.79140918.144485-37.44818777.288869-159.515582329.222321-679.4780501402.366700
\n" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import PolynomialFeatures\n", "\n", "# include polynomials up to x ** 10:\n", "# the default \"include_bias=True\" adds a feature that's constantly 1\n", "poly = PolynomialFeatures(degree=10, include_bias=False)\n", "poly.fit(X)\n", "X_poly = poly.transform(X)\n", "styles = [dict(selector=\"td\", props=[(\"font-size\", \"150%\")]),dict(selector=\"th\", props=[(\"font-size\", \"150%\")])]\n", "pd.DataFrame(X_poly, columns=poly.get_feature_names_out()).head().style.set_table_styles(styles)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Weights: [ 0.643 0.297 -0.69 -0.264 0.41 0.096 -0.076 -0.014 0.004 0.001]\n" ] }, { "data": { "application/pdf": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "reg = Ridge().fit(X_poly, y)\n", "print(\"Weights:\",reg.coef_)\n", "line_poly = poly.transform(line)\n", "fig = plt.figure(figsize=(8*fig_scale,4*fig_scale))\n", "plt.plot(line, reg.predict(line_poly), label='polynomial linear regression', lw=2*fig_scale)\n", "plt.plot(X[:, 0], y, 'o', c='k')\n", "plt.ylabel(\"Regression output\")\n", "plt.xlabel(\"Input feature\", labelpad=0.1)\n", "plt.tick_params(axis='both', pad=0.1)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### How expensive is this?\n", "\n", "* You may need MANY dimensions to fit the data\n", " * Memory and computational cost\n", " * More weights to learn, more likely overfitting\n", "* Ridge has a closed-form solution which we can compute with linear algebra:\n", "$$w^{*} = (X^{T}X + \\alpha I)^{-1} X^T Y$$\n", "\n", "* Since X has $n$ rows (examples), and $d$ columns (features), $X^{T}X$ has dimensionality $d x d$\n", "* Hence Ridge is quadratic in the number of features, $\\mathcal{O}(d^2n)$\n", "* After the feature map $\\Phi$, we get\n", "$$w^{*} = (\\Phi(X)^{T}\\Phi(X) + \\alpha I)^{-1} \\Phi(X)^T Y$$\n", "\n", "* Since $\\Phi$ increases $d$ a lot, $\\Phi(X)^{T}\\Phi(X)$ becomes _huge_" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Linear SVM example (classification)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide_input": true, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "application/pdf": 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\n", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "from sklearn.svm import LinearSVC\n", "X, y = make_blobs(centers=4, random_state=8)\n", "y = y % 2\n", "linear_svm = LinearSVC().fit(X, y)\n", "\n", "fig = plt.figure(figsize=(8*fig_scale,4*fig_scale))\n", "mglearn.plots.plot_2d_separator(linear_svm, X)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y, s=10*fig_scale)\n", "plt.xlabel(\"Feature 1\")\n", "plt.ylabel(\"Feature 2\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We can add a new feature by taking the squares of feature1 values" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide_input": true, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "application/pdf": 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\n", "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# add the squared first feature\n", "X_new = np.hstack([X, X[:, 1:] ** 2])\n", "\n", "# visualize in 3D\n", "fig = plt.figure(figsize=(8*fig_scale,4*fig_scale))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "# plot first all the points with y==0, then all with y == 1\n", "mask = y == 0\n", "ax.scatter(X_new[mask, 0], X_new[mask, 1], X_new[mask, 2], c='b',\n", " cmap=mglearn.cm2, s=10*fig_scale)\n", "ax.scatter(X_new[~mask, 0], X_new[~mask, 1], X_new[~mask, 2], c='r', marker='^',\n", " cmap=mglearn.cm2, s=10*fig_scale)\n", "ax.set_xlabel(\"feature1\", labelpad=-9)\n", "ax.set_ylabel(\"feature2\", labelpad=-9)\n", "ax.set_zlabel(\"feature2 ** 2\", labelpad=-9);\n", "ax.tick_params(axis='both', width=0, labelsize=5*fig_scale, pad=-3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Now we can fit a linear model" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide_input": true, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "application/pdf": 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\n", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "linear_svm_3d = LinearSVC().fit(X_new, y)\n", "coef, intercept = linear_svm_3d.coef_.ravel(), linear_svm_3d.intercept_\n", "\n", "# show linear decision boundary\n", "fig = plt.figure(figsize=(8*fig_scale,4*fig_scale))\n", "ax = fig.add_subplot(111, projection='3d')\n", "xx = np.linspace(X_new[:, 0].min() - 2, X_new[:, 0].max() + 2, 50)\n", "yy = np.linspace(X_new[:, 1].min() - 2, X_new[:, 1].max() + 2, 50)\n", "\n", "XX, YY = np.meshgrid(xx, yy)\n", "ZZ = (coef[0] * XX + coef[1] * YY + intercept) / -coef[2]\n", "ax.plot_surface(XX, YY, ZZ, rstride=8, cstride=8, alpha=0.3)\n", "ax.scatter(X_new[mask, 0], X_new[mask, 1], X_new[mask, 2], c='b',\n", " cmap=mglearn.cm2, s=10*fig_scale)\n", "ax.scatter(X_new[~mask, 0], X_new[~mask, 1], X_new[~mask, 2], c='r', marker='^',\n", " cmap=mglearn.cm2, s=10*fig_scale)\n", "\n", "ax.set_xlabel(\"feature1\", labelpad=-9)\n", "ax.set_ylabel(\"feature2\", labelpad=-9)\n", "ax.set_zlabel(\"feature2 ** 2\", labelpad=-9);\n", "ax.tick_params(axis='both', width=0, labelsize=10*fig_scale, pad=-6)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "As a function of the original features, the decision boundary is now a polynomial as well\n", "$$y = w_0 + w_1 x_1 + w_2 x_2 + w_3 x_2^2 > 0$$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "application/pdf": 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\n", "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ZZ = YY ** 2\n", "dec = linear_svm_3d.decision_function(np.c_[XX.ravel(), YY.ravel(), ZZ.ravel()])\n", "figure = plt.figure(figsize=(8*fig_scale,4*fig_scale))\n", "plt.contourf(XX, YY, dec.reshape(XX.shape), levels=[dec.min(), 0, dec.max()],\n", " cmap=mglearn.cm2, alpha=0.5)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y, s=10*fig_scale)\n", "plt.xlabel(\"Feature 1\")\n", "plt.ylabel(\"Feature 2\"); " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The kernel trick\n", "* Computations in explicit, high-dimensional feature maps are _expensive_\n", "* For _some_ feature maps, we can, however, compute _distances_ between _points_ cheaply\n", " * Without explicitly constructing the high-dimensional space at all\n", "* Example: _quadratic_ feature map for $\\mathbf{x} = (x_1,..., x_p )$:\n", "\n", "$$ \\Phi(\\mathbf{x}) = (x_1,..., x_p , x_1^2,..., x_p^2 , \\sqrt{2} x_1 x_2 , ..., \\sqrt{2} x_{p-1} x_{p}) $$\n", "\n", "* A _kernel function_ exists for this feature map to compute dot products\n", "\n", "$$ k_{quad}(\\mathbf{x_i},\\mathbf{x_j}) = \\Phi(\\mathbf{x_i}) \\cdot \\Phi(\\mathbf{x_j}) = \\mathbf{x_i} \\cdot \\mathbf{x_j} + (\\mathbf{x_i} \\cdot \\mathbf{x_j})^2$$\n", "\n", "* Skip computation of $\\Phi(x_i)$ and $\\Phi(x_j)$ and compute $k(x_i,x_j)$ directly" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Kernel Method\n", "\n", "* Kernel $k$ corresponding to a feature map $\\Phi$: $ k(\\mathbf{x_i},\\mathbf{x_j}) = \\Phi(\\mathbf{x_i}) \\cdot \\Phi(\\mathbf{x_j})$\n", "* Computes dot product between $x_i,x_j$ in a high-dimensional space $\\mathcal{H}$\n", " * Kernels are sometimes called _generalized dot products_\n", " * $\\mathcal{H}$ is called the _reproducing kernel Hilbert space_ (RKHS)\n", "* The dot product is a measure of the _similarity_ between $x_i,x_j$\n", " * Hence, a kernel can be seen as a similarity measure for high-dimensional spaces\n", "* If we have a loss function based on dot products $\\mathbf{x_i}\\cdot\\mathbf{x_j}$ it can be _kernelized_\n", " * Simply replace the dot products with $k(\\mathbf{x_i},\\mathbf{x_j})$\n", "\n", "\"ml\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 5 of Zaki book\n", "\n", "- [Zaki book](https://fumdrive.um.ac.ir/index.php/s/9W96bM8Q3QaJpAM)\n", "- [Slides of Chap. 5](https://www.cs.rpi.edu/~zaki/DMML/slides/pdf/ychap5.pdf)\n", "\n", "## Kernel K-Means\n", "- [Slides of Chap. 13](https://www.cs.rpi.edu/~zaki/DMML/slides/pdf/ychap13.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other examples\n", "\n", "- For Kernel PCA, see [section 7.3 of Zaki Book]((https://www.cs.rpi.edu/~zaki/DMML/slides/pdf/ychap7.pdf))\n", "- For Kernel SMV and Kernel Regression see [Appendix A](AppenixA-Kernel-SVM-and-Kernel-Regression.ipynb)\n", " * [MIT, Lecture on Kernel Regression](https://web.mit.edu/modernml/course/lectures/MLClassLecture3.pdf)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "## Summary\n", "* Feature maps $\\Phi(x)$ transform features to create a higher-dimensional space\n", " * Allows learning non-linear functions or boundaries, but very expensive/slow\n", "* For some $\\Phi(x)$, we can compute dot products without constructing this space\n", " * Kernel trick: $k(\\mathbf{x_i},\\mathbf{x_j}) = \\Phi(\\mathbf{x_i}) \\cdot \\Phi(\\mathbf{x_j})$\n", " * Kernel $k$ (generalized dot product) is a measure of similarity between $\\mathbf{x_i}$ and $\\mathbf{x_j}$\n", "* There are many such kernels\n", " * Polynomial kernel: $k_{poly}(\\mathbf{x_1},\\mathbf{x_2}) = (\\gamma (\\mathbf{x_1} \\cdot \\mathbf{x_2}) + c_0)^d$\n", " * RBF (Gaussian) kernel: $k_{RBF}(\\mathbf{x_1},\\mathbf{x_2}) = exp(-\\gamma ||\\mathbf{x_1} - \\mathbf{x_2}||^2)$\n", " * A kernel matrix can be precomputed using any similarity measure (e.g. for text, graphs,...)\n", "* Any loss function where inputs appear only as dot products can be kernelized\n", " * E.g. Linear SVMs: simply replace the dot product with a kernel of choice\n", "* The Representer theorem states which _other_ loss functions can also be kernelized and how\n", " * Ridge regression, Logistic regression, Perceptrons,..." ] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Slideshow", "hide_input": false, "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": "3.8.11" } }, "nbformat": 4, "nbformat_minor": 4 }