{ "cells": [ { "cell_type": "markdown", "id": "fatal-revision", "metadata": {}, "source": [ "![CC](https://i.creativecommons.org/l/by/4.0/88x31.png)\n", "\n", "This work is licensed under a [Creative Commons Attribution 4.0 International License](http://creativecommons.org/licenses/by/4.0/).\n", "\n", "# Optimal hard threshold for singular values\n", "\n", "This notebook demonstrates the effect of rank-truncation on noise in the data. We show how the automatic estimation of the optimal rank simplifies the truncation. The notebook's content is based on the following two resources, where the first resource is an excellent Pyton-based tutorial on the optimal SVD-HT (SVD Hard Threshold) by Robert Taylor, and the second resource is a research article covering the theory behind the optimal rank selection used here:\n", "\n", "1. Robert Taylor: [Optimal Singular Value Hard Threshold](http://www.pyrunner.com/weblog/2016/08/01/optimal-svht/), PyRunner Webblog, 2016\n", "2. M. Gavish and D. L. Donoho, The Optimal Hard Threshold for Singular Values is $4/\\sqrt {3}$, IEEE Transactions on Information Theory, vol. 60, no. 8, pp. 5040-5053, Aug. 2014, doi: [10.1109/TIT.2014.2323359](https://ieeexplore.ieee.org/document/6846297)." ] }, { "cell_type": "code", "execution_count": 1, "id": "simple-sampling", "metadata": {}, "outputs": [], "source": [ "import torch as pt\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from flowtorch.analysis import SVD\n", "\n", "# increase resolution of plots\n", "mpl.rcParams['figure.dpi'] = 160" ] }, { "cell_type": "markdown", "id": "hollywood-beads", "metadata": {}, "source": [ "## Creating the data matrix\n", "\n", "The data matrix is assembled from two superimposed functions and some added white Gaussian noise." ] }, { "cell_type": "code", "execution_count": 2, "id": "atmospheric-rally", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = pt.linspace(-10, 10, 100)\n", "t = pt.linspace(0, 20, 200)\n", "Xm, Tm = pt.meshgrid(x, t)\n", "\n", "data_matrix = 5.0 / pt.cosh(0.5*Xm) * pt.tanh(0.5*Xm) * pt.exp(1.5j*Tm) # primary mode\n", "data_matrix += 0.5 * pt.sin(2.0*Xm) * pt.exp(2.0j*Tm) # secondary mode\n", "data_matrix += 0.5 * pt.normal(mean=pt.zeros_like(Xm), std=pt.ones_like(Xm))\n", "\n", "# plot data matrix as image\n", "plt.imshow(data_matrix.real)\n", "plt.xlabel(\"t\")\n", "plt.ylabel(\"x\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "express-fossil", "metadata": {}, "source": [ "## Singular value decomposition with hard threshold\n", "\n", "First, let's examine the singular value distribution without rank truncation. Since we created the data with two spatial modes, there should be only two singular values different from zero." ] }, { "cell_type": "code", "execution_count": 3, "id": "prepared-bloom", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SVD of a 100x200 data matrix\n", "Selected/optimal rank: 100/2\n", "data type: torch.complex64 (8b)\n", "truncated SVD size: 234.7656Kb\n" ] } ], "source": [ "svd = SVD(data_matrix, 100)\n", "print(svd)" ] }, { "cell_type": "markdown", "id": "demographic-sunrise", "metadata": {}, "source": [ "Examining the SVD meta data printed above, we can see that an optimal threshold of two was estimated, but we chose a rank of 100. Let's plot the singular value distribution and show the optimal truncation." ] }, { "cell_type": "code", "execution_count": 4, "id": "skilled-diagram", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "color = [\"C0\" if s <= svd.s[2] else \"C1\" for s in svd.s]\n", "plt.bar(range(svd.s.shape[0]), svd.s, color=color)\n", "plt.xlabel(r\"$i$\")\n", "plt.ylabel(r\"$\\sigma_i$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "apparent-greensboro", "metadata": {}, "source": [ "The additional non-zero singular values result from the added Gaussian noise. Now we perform the SVD again, but this time with automatic rank truncation. Note that we could also use the previously computed SVD and do the truncation manually. The truncated SVD is significantly smaller than its full counterpart." ] }, { "cell_type": "code", "execution_count": 5, "id": "indian-essex", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SVD of a 100x200 data matrix\n", "Selected/optimal rank: 2/2\n", "data type: torch.complex64 (8b)\n", "truncated SVD size: 4.6953Kb\n" ] } ], "source": [ "svd = SVD(data_matrix)\n", "print(svd)" ] }, { "cell_type": "markdown", "id": "valuable-airport", "metadata": {}, "source": [ "We can now reconstruct the full data based on the truncated SVD. Since we cut off the noisy modes, the SVD acts as a denoising tool in this application." ] }, { "cell_type": "code", "execution_count": 6, "id": "under-tuition", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "reconstruction = svd.U @ pt.diag(svd.s).type(pt.complex64) @ svd.V.conj().T\n", "plt.imshow(reconstruction.real)\n", "plt.xlabel(\"t\")\n", "plt.ylabel(\"x\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "accredited-incidence", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }