{ "cells": [ { "cell_type": "markdown", "id": "a62a0c59", "metadata": {}, "source": [ "# Non-negative Matrix Factorization (NMF)" ] }, { "cell_type": "markdown", "id": "1881bc9e", "metadata": {}, "source": [ "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", "\n", "Non-negative Matrix Factorizaation (NMF) solves the following optimiation problem:\n", "\n", "$$\n", " \\min_{\\substack{\n", " \\mathbf{P} \\in \\mathbb{R}^{n \\times k}\\ \n", " \\pmb{\\alpha} \\in \\mathbb{R}^n \\\\\n", " \\mathbf{Q} \\in \\mathbb{R}^{m \\times k}\\ \n", " \\pmb{\\beta} \\in \\mathbb{R}^m\n", " }} \n", " \\left[\n", " \\sum_{(u,i)\\in \\Omega} C \\cdot \\phi(r_{ui}, \\ \\mathbf{p}_u^T \\mathbf{q}_i + \\alpha_u + \\beta_i) \n", " \\right] \n", " + \n", " \\left[ \n", " \\frac{\\rho}{n}\\sum_{u=1}^n(\\|\\mathbf{p}_u\\|_2^2 + \\alpha_u^2) \n", " + \\frac{1-\\rho}{m}\\sum_{i=1}^m(\\|\\mathbf{q}_i\\|_2^2 + \\beta_i^2) \n", " \\right]\n", "$$\n", "\n", "$$\n", " \\ \\text{ s.t. } \\ \n", " \\mathbf{P} \\geq \\mathbf{0},\\ \\mathbf{Q} \\geq \\mathbf{0},\\ \\pmb{\\alpha} \\geq \\mathbf{0},\\ \\text{and}\\ \\pmb{\\beta} \\geq \\mathbf{0}\n", "$$\n", "\n", "where\n", "\n", "- $\\phi(\\cdot , \\cdot)$ \n", " is a convex piecewise linear-quadratic loss function\n", "\n", "- $\\Omega$\n", " is a user-item collection that records all training data\n", "\n", "- $n$ is number of rows in target matrix, $m$ is number of columns in target matrix\n", "\n", "- $k$ is length of latent factors (rank of MF) \n", "\n", "- $C$ is regularization parameter, $\\rho$ balances regularization strength between user and item\n", "\n", "- $\\mathbf{p}_u$ and $\\alpha_u$\n", " are latent vector and individual bias of u-th row. Specifically, $\\mathbf{p}_u$ is the u-th row of $\\mathbf{P}$, and $\\alpha_u$ is the u-th element of $\\pmb{\\alpha}$\n", " \n", "- $\\mathbf{q}_i$ and $\\beta_i$\n", " are latent vector and individual bias of i-th column. Specifically, $\\mathbf{q}_i$ is the i-th row of $\\mathbf{Q}$, and $\\beta_i$ is the i-th element of $\\pmb{\\beta}$\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "cb9c3754", "metadata": {}, "outputs": [], "source": [ "## packages\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from numpy.random import RandomState\n", "from sklearn.datasets import fetch_olivetti_faces\n", "\n", "from rehline import plqMF_Ridge" ] }, { "cell_type": "code", "execution_count": 2, "id": "ae1700c3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## set random state\n", "rng = RandomState(0)\n", "\n", "\n", "## import face data and convert to triplet dataset\n", "faces, _ = fetch_olivetti_faces(return_X_y=True, shuffle=True, random_state=rng)\n", "n_samples, n_features = faces.shape\n", "\n", "rows, cols = np.nonzero(faces)\n", "X = np.column_stack((rows, cols))\n", "y = faces[rows, cols]\n", "\n", "\n", "## define a face-visualization function\n", "n_row, n_col = 2, 3\n", "n_components = n_row * n_col\n", "image_shape = (64, 64)\n", "\n", "\n", "def plot_gallery(title, images, n_col=n_col, n_row=n_row, cmap=plt.cm.gray):\n", " fig, axs = plt.subplots(\n", " nrows=n_row,\n", " ncols=n_col,\n", " figsize=(2.0 * n_col, 2.3 * n_row),\n", " facecolor=\"white\",\n", " constrained_layout=True,\n", " )\n", " fig.set_constrained_layout_pads(w_pad=0.01, h_pad=0.02, hspace=0, wspace=0)\n", " fig.set_edgecolor(\"black\")\n", " fig.suptitle(title, size=16)\n", " for ax, vec in zip(axs.flat, images):\n", " vmax = max(vec.max(), -vec.min())\n", " im = ax.imshow(\n", " vec.reshape(image_shape),\n", " cmap=cmap,\n", " interpolation=\"nearest\",\n", " vmin=-vmax,\n", " vmax=vmax,\n", " )\n", " ax.axis(\"off\")\n", "\n", " fig.colorbar(im, ax=axs, orientation=\"horizontal\", shrink=0.99, aspect=40, pad=0.01)\n", " plt.show()\n", "\n", "\n", "## show some faces\n", "plot_gallery(\"Faces from dataset\", faces[:n_components])" ] }, { "cell_type": "code", "execution_count": 3, "id": "1b25add7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration Average Loss(mse) Objective Function \n", "1 0.020348 18.630042 \n", "2 0.012533 12.627574 \n", "3 0.010705 10.203743 \n", "4 0.009903 8.819946 \n", "5 0.009485 7.921505 \n" ] }, { "data": { "text/html": [ "
plqMF_Ridge(C=0.0003, biased=False, constraint_item=[{'name': '>=0'}],\n",
       "            constraint_user=[{'name': '>=0'}], loss={'name': 'mse'},\n",
       "            max_iter_CD=5, n_items=4096, n_users=400, random_state=0, rank=6,\n",
       "            tol=0.01, verbose=1)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "plqMF_Ridge(C=0.0003, biased=False, constraint_item=[{'name': '>=0'}],\n", " constraint_user=[{'name': '>=0'}], loss={'name': 'mse'},\n", " max_iter_CD=5, n_items=4096, n_users=400, random_state=0, rank=6,\n", " tol=0.01, verbose=1)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "## solve nmf via rehline\n", "nmf_rehline = plqMF_Ridge(\n", " C=0.0003,\n", " biased=False,\n", " n_users=n_samples,\n", " n_items=n_features,\n", " rank=n_components,\n", " loss={\"name\": \"mse\"},\n", " constraint_user=[{\"name\": \">=0\"}],\n", " constraint_item=[{\"name\": \">=0\"}],\n", " verbose=1,\n", " max_iter_CD=5,\n", " random_state=0,\n", " tol=0.01,\n", ")\n", "\n", "nmf_rehline.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 4, "id": "7249b602", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## check eigen faces\n", "plot_gallery(\"Non-negative components - ReHLine\", np.transpose(nmf_rehline.Q))" ] } ], "metadata": { "kernelspec": { "display_name": "ReHLine", "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": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }