{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Eigenangles: evaluating the statistical similarity of neural network simulations via eigenvector angles" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy as sc\n", "from quantities import Hz, ms\n", "import math\n", "\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import seaborn as sns\n", "from ipywidgets import interact, FloatSlider, IntSlider, Dropdown, fixed\n", "\n", "sns.set(style='ticks', context='paper', palette='rocket')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Table of Contents\n", "* [An angle measure to evaluate similiarity between matrices](#intro)\n", " * [The context](#intro-a)\n", " * [The problem](#intro-b)\n", " * [The idea](#intro-c)\n", " * [The outline](#intro-d)\n", "* [On the behavior of angles](#angles)\n", " * [Angles in high dimensions](#angles-a)\n", " * [Simulating random vectors](#angles-b)\n", " * [Simulating random eigenvectors](#angles-b)\n", "* [Angles as similarity measure](#smallness)\n", " * [Angle-smallness](#smallness-a)\n", " * [Distribution of eigenvalues](#smallness-b)\n", " * [Weighted angle-smallness](#smallness-c)\n", "* [Building a statistical test](#test)\n", " * [Similarity score](#test-a)\n", " * [Null hypothesis](#test-b)\n", " * [P-value and interpretation](#test-c)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# An angle measure to evaluate similiarity between matrices\n", "\n", "\n", "## The context\n", "There are many ways to compare activity data of neural networks, both for data obtained from biological experiments and from model simulations. This is great, because the whole concept of model validation is based on the rigorous comparison between experimental and simulated data. A fairly straight-forward way to compare network activity data is via node-wise (i.e. neuron-wise) measures such as, for example, firing rates, spiking regularity measures, or graph centrality. These neuron-wise measures are statistically independent and can be represented by sample distributions which can be compared by a [wide variety of statistical two-sample tests](https://en.wikipedia.org/wiki/Two-sample_hypothesis_testing). Popular tests include the Student's t-test, the Kolmogorov-Smirnov test, or the Wilcoxon rank-sum test. Even though they are not formally a statistical tests, also comparative measures such as the Kullback-Leibler divergence and the effect size have to be mentioned.\n", "\n", "\n", "## The problem\n", "However, not all measures to characterize network activity are statistically independent. Since the key feature of a network is its interconectiveness, argueably the most interesting characteristics are captured by pairwise or high-order measures like correlation, effective connectivity, or Granger causality. Such measures can as well be represented by simple sample distributions, but this would neglect the dependence between the individual values. For example, neuron A has a certain correlation with neuron B, and neuron B a correlation with neuron C, then the correlation which is possible between neuron A and C is dependent by their correlations with neuron B. So, in order to not loose this dependence the values need to be represented not as a sample distribution but as a matrix. Comparing matrices in a meaningful way is however much more tricky than comparing distributions and few statistical tests are available.\n", "\n", "\n", "## The idea\n", "The various two-sample tests typically compare certain attributes of the distributions such as the mean, the variance, or the shape. For the case of matrices we can analogously consider the eigenvalues and eigenvectors as relevant attributes. The eigenvectors span the space in which the data in the matrix is represented most naturally, in the sense that the first eigenvector points along the direction of the most variance in the data, the second along the direction of the most variance within the orthogonal subspace, and so on; whereas the corresponding eigenvalues quantify the variance along these axes. Thus, for comparison of two matrices, we could measure the similarity between them by means of the similariy of the eigenvectors, especially the first ones, i.e., the ones with the largest eigenvalues. And how to evaluate the similarity between vectors? Of course, angles!\n", "\n", "\n", "## The outline\n", "In the following, we will build up a theoretical basis to evaluate the similarity between correlation matrices by considering the angles between eigenvectors, by assuming two independent random correlation matrices.\n", "First, we will describe the behavior of angles for high dimensional vectors, in particualr eigenvectors.\n", "Then, we will look at the smallness of angles as a indicator for similarity and integrate the eigenvalues as a weighting factor into the analytical description.\n", "Based on this we formulate a similarity score for a correlation matix comparison and describe its theoretical distribution to compute a corresponding p-value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# The distribution of random angles\n", "\n", "\n", "## Angles in high dimensions\n", "The basic idea is that a small angle between two vectors indicates similarity, a large angle indicates discrepancy, with the angle defined as $\\phi=\\arccos(\\mathbf{v}_1 \\cdot \\mathbf{v}_2)$. But in order to know when an angle is large and when it is small we need to relate it to a reference scenario, i.e. the null hypothesis. Here, the null hypothesis would be that both vectors point into a random direction, or to be precise they are random vectors uniformly distributed over the N-dim unit sphere. The vectors exist in a 'neuron space' corresponding to the dimensionality $N$ of our matrix. So, $N$ is equal to the number of neurons we record from.\n", "\n", "This may seem overly formal since we just want to distinguish small and large angles, but this is crucial because angles behave very differently depending on the vector dimensions. In two dimension, the angle distribution is still excatly how we would expect them to be. Each angle between random vectors is equally likely and thus the distribution is uniform between $0$ and $\\pi$. However, once we leave the simple 2D world and move to higher dimensions things get fairly unintuitive. For example, consider a ball of diameter $d$ within a cube with edge length $d$. In 2 or 3 dimensions nearly all the volume of the cube is also within the ball, but in higher dimensions the volume concentrates more and more at the surface of the cube, so that it is outside of the ball. So that means, if you stand in a random spot in a high-dimensional classroom, you'll nearly always stand in a corner. Part of the same phenomenon, and relevant for our angles, is that in high dimensions random vector pairs are nearly always perpendicular.\n", "\n", "Fortunately, the probability distribution $f_\\sphericalangle(\\phi)$ of random angles depending on the dimension $N$ can be described analytically [(*Cai et al., 2013*)](https://dl.acm.org/doi/abs/10.5555/2567709.2567722) as\n", "$$\n", "f_\\sphericalangle(\\phi) = \\frac{\\Gamma(\\frac{N}{2})}{\\sqrt{\\pi} \\Gamma(\\frac{N-1}{2})} \\sin^{N-2}(\\phi) \\qquad \\phi \\in [0,\\pi],\n", "$$\n", "or as written in Python:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def angle_dist(phi, N):\n", " if phi < 0 or phi > np.pi:\n", " return 0 \n", " \n", " func = lambda p: np.sin(p)**(N-2)\n", " if N < 170:\n", " norm = sc.special.gamma(N/2.) / (np.sqrt(np.pi) \\\n", " * sc.special.gamma((N-1)/2))\n", " else: \n", " # gamma function overflow\n", " norm = 1/sc.integrate.quad(func, 0, np.pi)[0]\n", " return norm * func(phi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Angle distribution for random vectors\n", "\n", "Let's see how this looks like in practice. First, we need to generate some uniformly distributed random vectors. This is most easily done by drawing each vector component from a normal distribution and then normalizing the vectors [(*Guhr et al., 1998*)](https://doi.org/10.1016/S0370-1573(97)00088-4)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def generate_random_vectors(N, samples):\n", " random_vectors = np.random.normal(size=(samples, N))\n", " for i, v in enumerate(random_vectors):\n", " random_vectors[i] /= np.linalg.norm(v)\n", " return random_vectors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visually check that this method actually produces uniformly distributed random vectors, we plot a bunch of them in a 3D plot." ] }, { "cell_type": "code", <<<<<<< HEAD "execution_count": 4, ======= "execution_count": 19, >>>>>>> refs/remotes/origin/synced/master "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "434481f4e2154122bcd7948b026f7d48", "version_major": 2, 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", ======= "model_id": "e4a0cb17c528452f942865b1e4ba1754", "version_major": 2, "version_minor": 0 }, "image/png": 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", >>>>>>> refs/remotes/origin/synced/master "text/html": [ "\n", "
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\n", " Figure\n", "
\n", <<<<<<< HEAD " \n", ======= " \n", >>>>>>> refs/remotes/origin/synced/master "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib widget\n", "\n", "fig = plt.figure(figsize=(6,6))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "rand_vectors = generate_random_vectors(N=3, samples=1000)\n", "\n", "ax.scatter(rand_vectors[:,0],rand_vectors[:,1],rand_vectors[:,2], \n", " color=sns.color_palette()[2], s=10, label='random vectors');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The random vectors appear to be indeed uniformly distributed. \n", "The random angles we compute by sampling two sets of random vectors and instead of calculating the arcus cosine of the scalar product of each pair separately, we apply the equivalent operation of multiplying the two sets of vectors and calculating the arcus cosine on the diagonal of the resulting matrix." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def generate_random_angles(N, samples, vector_function):\n", " vectors_a = vector_function(N=N, samples=samples)\n", " vectors_b = vector_function(N=N, samples=samples) \n", " M = np.dot(vectors_a, vectors_b.T)\n", " return np.arccos(np.diag(M))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, to illustrate how the random angles depend on the dimension of the vectors we plot the distribution of the sampled angles along with the analytical distribution function." ] }, { "cell_type": "code", <<<<<<< HEAD "execution_count": 6, ======= "execution_count": 21, >>>>>>> refs/remotes/origin/synced/master "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "02ae490218ef4efea73e26fc9c7d8d83", ======= "model_id": "aecd42f9506c4d96b7d6562a61ce845b", >>>>>>> refs/remotes/origin/synced/master "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=2, description='N', max=30, min=2), IntSlider(value=1000, description='s…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "3d1c06b1a712445fb3414a61c2fcfa5d", "version_major": 2, "version_minor": 0 }, "image/png": 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======= "model_id": "661ba284487e452dacadc449d6bf664e", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib widget\n", "\n", "def plot_angle_distribution(N, samples, vector_function, bins=20):\n", " sampled_angles = generate_random_angles(N=N, \n", " samples=samples,\n", " vector_function=vector_function)\n", " \n", " # compute sample distribution\n", " bin_edges = np.linspace(0, np.pi, bins)\n", " hist, _ = np.histogram(sampled_angles, bins=bin_edges, density=True)\n", " \n", " # clear plot\n", " plt.cla()\n", " ax = plt.gca()\n", " \n", " # plot sample distribution\n", " bin_centers = bin_edges[:-1] + np.diff(bin_edges)[0]/2.\n", " ax.bar(bin_centers, hist, width=.9*np.diff(bin_centers)[0], \n", " color=sns.color_palette()[2], alpha=0.8, label='sample distribution')\n", " \n", " # plot analytic distribution\n", " phi = np.linspace(0, np.pi, 100)\n", " ax.plot(phi, [angle_dist(p, N) for p in phi], 'k--', label=r'$\\sim\\sin^{N-2}\\phi$')\n", "\n", " # format figure\n", " ax.set_xlabel('angle $\\phi$')\n", " ax.set_ylabel('density')\n", " ax.set_xticks(np.array([0, .25, .5, .75, 1]) * np.pi)\n", " ax.set_xticklabels(['0', r'$\\frac{1}{4}\\pi$', r'$\\frac{1}{2}\\pi$',\n", " r'$\\frac{3}{4}\\pi$', r'$\\pi$'])\n", " ax.set_title('{}D angle distribution'.format(int(N)))\n", " plt.legend()\n", " return None\n", "\n", "# interactive plot with variable dimension N, and number of sample angles\n", "fig, ax = plt.subplots(figsize=(8,5))\n", "interact(plot_angle_distribution, \n", " N=IntSlider(value=2, min=2, max=30, step=1),\n", " samples=IntSlider(value=10**3, min=0, max=10**4, step=10**3),\n", " vector_function=fixed(generate_random_vectors), bins=fixed(20));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Angle distribution for random eigenvectors\n", "\n", "But wait! Originally, we were interested in the angles between eigenvectors which we know are not uniformly distributed random vectors because they need to be pairwise orthogonal by definition.\n", "However, this turns out to be only a problem for small dimensions while the analytical function still very well describes the distribution of these 'eigenangles' in higher dimensions. Let's come back to this and first generate some random eigenvectors.\n", "\n", "In order to generate random eigenvectors we need to generate random matricies. Here, we want to focus on correlation matrices. The approach is, however, generalizable to other types of matrices. Correlation matrices are defined by the following properties.\n", "* The matrix is symmetric.\n", "* All elements are real and $\\in$ [$-1,1$].\n", "* The diagonal elements are $1$.\n", "* The matrix is positive definte, i.e., all eigenvalues are $\\ge 0$.\n", "\n", "A random correlation matrix can be created by calculating the Gram matrix from a set of normalized random vectors $\\mathbf{R} = \\mathbf{T}\\mathbf{T}^*$, where $\\mathbf{T}$ is a matrix with rows $T_i$ being normalized random vectors [(*Homes, 1991*)](https://doi.org/10.1137/0612019). The dimension of the row vectors $T_i$ does not influence the distribution of the eigenvectors. Therefore, we describe this degree of freedom as $\\alpha\\cdot N$ and arbitrarily choose $\\alpha=1$. This has no relevance for the eigenvectors or angle distribution, but will become important later for the eigenvalues." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def generate_random_eigendecomposition(N, samples, alpha):\n", " nbr_of_matrices = int(samples//N)\n", " eigenvector_array = np.empty((nbr_of_matrices*N, N))\n", " eigenvalue_array = np.empty(nbr_of_matrices*N)\n", " \n", " for i in range(nbr_of_matrices):\n", " random_vectors = np.random.normal(size=(N, alpha*N))\n", " \n", " for j, v in enumerate(random_vectors):\n", " random_vectors[j] /= np.linalg.norm(v)\n", " \n", " random_corr_matrix = np.dot(random_vectors, random_vectors.T)\n", " eigenvalues, eigenvectors = sc.linalg.eigh(random_corr_matrix)\n", " eigenvector_array[i*N:i*N+N] = eigenvectors.T\n", " eigenvalue_array[i*N:i*N+N] = eigenvalues \n", " \n", " return eigenvalue_array, eigenvector_array\n", "\n", "def generate_random_eigenvectors(N, samples):\n", " return generate_random_eigendecomposition(N, samples, alpha=1)[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following plot demonstrates how also the angles between eigenvectors reasonably follow the analytic angle distribution when the dimension $N > 10$. \n", "" ] }, { "cell_type": "code", <<<<<<< HEAD "execution_count": 8, ======= "execution_count": 22, >>>>>>> refs/remotes/origin/synced/master "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "731584c5a3f045fb897e3f8bd4b9070a", ======= "model_id": "4e94fcec50204683b1b1604749e1f48b", >>>>>>> refs/remotes/origin/synced/master "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=2, description='N', max=40, min=2), IntSlider(value=1000, description='s…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": 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", ======= "model_id": "28de0e198224410089047eaeafbe9666", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "interact(plot_angle_distribution, \n", " N=IntSlider(value=2, min=2, max=40, step=1),\n", " samples=IntSlider(value=10**3, min=0, max=10**4, step=10**3),\n", " vector_function={'random vectors':generate_random_vectors,\n", " 'random eigenvectors':generate_random_eigenvectors},\n", " bins=fixed(20));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Angles as similarity measure\n", "\n", "\n", "## Angle smallness\n", "\n", "In the beginning, we set out to identify matrix similarity by small angles between their eigenvectors. Now that we have a formal description on how to evaluate angle size depending on the vectors' dimension, we can define a corresponding similarity measures, i.e., the *angle-smallness*. So, the quantitiy we are actually interested in is not the absolute angle size but its quantile position in the distribution of random angles. Thus, we define the auxiliary variable $\\Delta = 1 - \\frac{\\phi}{\\pi/2}$ to represent the smallness of the angle on a scale form $-1$ to $1$. By performing a variable transformation we see that in order to adapt the angle distribution accordingly, we just have to replace the sine function by a cosine and scale with $\\frac{\\pi}{2}$. \n", "$$\n", "\\tilde{f_\\sphericalangle}(\\Delta) \\propto \\cos^{N-2}(\\Delta\\cdot\\pi/2) \\qquad \\Delta \\in [-1, 1] \n", "$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def angle_smallness_dist(D, N):\n", " if D >= -1 and D <= 1:\n", " return math.gamma(N/2.) / (np.sqrt(np.pi) * math.gamma((N-1)/2)) \\\n", " * np.pi/2 * np.cos(D*np.pi/2)**(N-2)\n", " else:\n", " return 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another property of eigenvectors, besides being pairwise orthogonal, is that they are paired with the eigenvalues. So, they can be sorted according to the magnitude of their corresponding eigenvalue. The eigenvector with the largest eigenvalue is considered the *first* and argueably the most important, as it represents the axis of largest variance. Consequently, this also means that the angle between the first eigenvectors is a more relevant quantification of the matrices similarity than the angle between the last eigenvectors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Distribution of eigenvalues\n", "\n", "To incorporate the aspect of the variable \"importance\" of the eigenangles into the test, we want to weight the smallness of each angle with the corresponding eigenvalues. This requires that we know how the eigenvalues are distributed under the null hypothesis, i.e, for a random matrix.\n", "Fortunately again, the eigenvalue distribution is known for certain types of random matrices, at least in the limit of infinitly sized matrices. For the case of matrices (which includes correlation matrices) of type $\\mathbf{Y}_{N}=\\mathbf{XX}^{T}$ where $\\mathbf{X}$ is a $(\\alpha N)\\times N$ random matrix whose entries are independent identically distributed random variables with mean $0$ and variance $\\sigma^{2}<\\infty$, the asymptotic eigenvalue distribution was described by [Vladimir Marcenko and Leonid Pastur in 1967](https://doi.org/10.1070/SM1967v001n04ABEH001994).\n", "This Marchenko-Pastur distribution is only depended on the parameter $\\alpha$, which we already introduced as the ratio between the length of the row vectors $T_i$ and the dimensionality $N$. Naturally, the distribution can't depend on $N$ as it assumes an $N \\rightarrow \\infty$. It is defined as\n", "$$\n", "h_{\\alpha}(\\lambda) = \\frac{\\alpha}{2 \\pi \\lambda} \\sqrt{(\\lambda_+ - \\lambda) \\cdot (\\lambda - \\lambda_-)}\n", "\\\\\n", "\\lambda_{\\pm} = \\left(1 \\pm \\sqrt{\\frac{1}{\\alpha}}\\right)^2 ,\n", "$$\n", "\n", "or as written in Python:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def marchenko_pastur(x, alpha):\n", " assert alpha >= 1\n", " x_min = (1 - np.sqrt(1. / alpha)) ** 2\n", " x_max = (1 + np.sqrt(1. / alpha)) ** 2 \n", " y = alpha / (2 * np.pi * x) * np.sqrt((x_max - x) * (x - x_min))\n", " if np.isnan(y):\n", " return 0\n", " else:\n", " return y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize the distribution and its fit to the sampled eigenvalues, we again generate random matricies with varying $N$ and $\\alpha$. \n", "And as we can observe, the dimension $N$ indeed does not influence the shape eigenvalue distribution. The only effect of increasing $N$ is that the sample variance decreases so that the histogram fits the analytic distribution more closely.\n", "" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "df6cf7eb61674de38dfc4a567134e44e", ======= "model_id": "05d7f4a593564e9c84bc9a06dad9cd8e", >>>>>>> refs/remotes/origin/synced/master "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=10, description='N', max=200, min=2), IntSlider(value=10, description='a…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "e6e84103ae764c0286abd32a19d2355f", "version_major": 2, "version_minor": 0 }, "image/png": 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", ======= "model_id": "01c647b3df1948dbae9d4a6e5257ef4b", "version_major": 2, "version_minor": 0 }, "image/png": 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", >>>>>>> refs/remotes/origin/synced/master "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", <<<<<<< HEAD " \n", ======= " \n", >>>>>>> refs/remotes/origin/synced/master "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib widget\n", "\n", "def plot_eigenvalue_distribution(N, alpha, samples, bins=20):\n", " sampled_eigenvalues, _ = generate_random_eigendecomposition(N=N, \n", " alpha=alpha, \n", " samples=samples) \n", " \n", " # compute sample distribution\n", " hist, edges = np.histogram(sampled_eigenvalues, bins=bins, density=True)\n", " \n", " # clear plot\n", " plt.cla()\n", " ax = plt.gca()\n", "\n", " # plot sample distribution\n", " bin_centers = edges[:-1] + np.diff(edges)[0]/2\n", " ax.bar(bin_centers, hist, width=.9*np.diff(bin_centers)[0], alpha=0.8,\n", " color=sns.color_palette('deep')[0], label='sample distribution')\n", " \n", " # plot analytic distribution\n", " xvalues = np.linspace(edges[0], edges[-1], 100)\n", " ax.plot(xvalues, [marchenko_pastur(x, alpha) for x in xvalues], 'k--',\n", " label='Marchenko-Pastur distribution')\n", " \n", " # format plot\n", " ax.set_xlabel('eigenvalue $\\lambda$')\n", " ax.set_ylabel('density')\n", " ax.set_title(r'Eigenvalue distribution ($\\alpha = $ {})'.format(alpha))\n", " plt.legend();\n", " return ax\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(8,5))\n", "interact(plot_eigenvalue_distribution, \n", " alpha=IntSlider(value=10, min=1, max=500, step=1),\n", " N=IntSlider(value=10, min=2, max=200, step=1),\n", " samples=IntSlider(value=1000, min=0, max=2000, step=100),\n", " bins=fixed(20));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Weighted angle-smallness\n", "\n", "As every angle involves two eigenvectors, we have to combine two eigenvalues for a corrsponding weight. Thus, for the two matrices $\\mathbf{A}$ and $\\mathbf{B}$ with the eigenvectors $\\mathbf{v}_{A,i}$ and $\\mathbf{v}_{B,i}$ and eigenvalues $\\lambda_{A,i}$ and $\\lambda_{B,i}$, we define the weight for the angle-smallness $\\Delta$ as the root mean square of the eigenvalues: $w_i = \\sqrt{(\\lambda_{A,i}^2 + \\lambda_{B,i}^2)/2}$. By choosing the weights like this, we ensure that distribution of the weights also follows the Marchenko-Pastur distribution $h_{\\alpha}$. In principle, one could choose here very different weights, as long as there is an analytical discription for the distribution in the case of a random matrix. To adapt this approach further one could possibly also find another way to define the weights or even leave them out entirely.\n", "\n", "So, under the null hypothesis of two random matrices we can formulate the distribution of both $\\Delta_i$ and the weights $w_i$. To get the distribution of $w_i \\cdot \\Delta_i$, we combine the two distribution with the following expression:\n", "\n", "$$\n", <<<<<<< HEAD "g_{N,\\alpha}(w\\Delta) = \\int_{\\lambda_-}^{\\lambda_+} \\tilde{f_N}(\\frac{w\\Delta}{\\lambda}) \\cdot h_{\\alpha}(\\lambda) \\cdot \\frac{d\\lambda}{\\lambda}\n", ======= "g_{N,\\alpha}(w\\Delta) = \\int_{\\lambda_-}^{\\lambda_+} \\tilde{f_N}(\\frac{\\Delta}{\\lambda}) \\cdot h_{\\alpha}(\\lambda) \\cdot \\frac{d\\lambda}{\\lambda}\n", >>>>>>> refs/remotes/origin/synced/master "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def weighted_smallness_dist(D, N, alpha): \n", " x_min = (1 - np.sqrt(1. / alpha)) ** 2\n", " x_max = (1 + np.sqrt(1. / alpha)) ** 2 \n", " \n", " integrand = lambda x, _D, _N, _alpha: angle_smallness_dist(_D / float(x), _N) \\\n", " * marchenko_pastur(x, _alpha) \\\n", " * 1. / x\n", " return sc.integrate.quad(integrand, x_min, x_max, args=(D,N,alpha,))[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check how this combined distribution behaves in action.\n", "" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "fb9315f7442c4b37914274fe2e88dbf0", ======= "model_id": "8b0bfb3cde2f4105be4eda52223f7436", >>>>>>> refs/remotes/origin/synced/master "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=10, description='N', max=200, min=2), IntSlider(value=10, description='a…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "937b67e5b4c04173b1931ab05e9401c6", "version_major": 2, "version_minor": 0 }, "image/png": 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", ======= "model_id": "e08bc1f753c543db99d0dee96caa8cf6", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_weighted_smallness_distribution(N, alpha, samples, bins=20):\n", " # generate pairs of random eigenvectors and values\n", " eigenvalues_A, eigenvectors_A = generate_random_eigendecomposition(N=N, \n", " samples=samples, \n", " alpha=alpha)\n", "\n", " eigenvalues_B, eigenvectors_B = generate_random_eigendecomposition(N=N, \n", " samples=samples, \n", " alpha=alpha)\n", " # calculate eigenangles and their smallness\n", " M = np.dot(eigenvectors_A, eigenvectors_B.T)\n", " angles = np.arccos(np.diag(M))\n", " smallness = 1 - angles / (np.pi/2.)\n", "\n", " # calculate weights and apply to smallness\n", " weights = np.sqrt((eigenvalues_A ** 2 + eigenvalues_B ** 2) / 2.)\n", " weights = weights / sum(weights) * N\n", " weighted_smallness = smallness * weights \n", " weighted_smallness = weighted_smallness * len(smallness)/N # correct for multiple matrices\n", " \n", " # compute sample distribution\n", " bin_edges = np.linspace(-1, 1, bins)\n", " hist, _ = np.histogram(weighted_smallness, bins=bin_edges, density=True)\n", " \n", " # clear plot\n", " plt.cla()\n", " ax = plt.gca()\n", " \n", " # plot sample distribution\n", " bin_centers = bin_edges[:-1] + np.diff(bin_edges)[0]/2.\n", " ax.bar(bin_centers, hist, width=.9*np.diff(bin_centers)[0], alpha=0.8, \n", " color=sns.color_palette()[1], label='sample distribution')\n", " \n", " # plot the analytical distribution\n", " xvalues = np.linspace(-1, 1, 100)\n", " ax.plot(xvalues, [weighted_smallness_dist(x, N, alpha) for x in xvalues], 'k--',\n", " label=r'analytical distribution $g_{N,\\alpha}$')\n", " \n", " # format plot\n", " ax.set_xlabel(r'weighted angle-smallness $w\\cdot\\Delta$')\n", " ax.set_ylabel('density')\n", " ax.set_title(r'weighted angle-smallness ({}D, $\\alpha=${})'.format(N, alpha))\n", " plt.legend()\n", " return None\n", " \n", "fig, ax = plt.subplots()\n", "interact(plot_weighted_smallness_distribution, \n", " alpha=IntSlider(value=10, min=1, max=500, step=1),\n", " N=IntSlider(value=10, min=2, max=200, step=1),\n", " samples=IntSlider(value=1000, min=0, max=2000, step=100),\n", " bins=fixed(20));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Building the statistical test\n", "\n", "\n", "## Similarity score\n", "\n", "We use the quantity of the weighted angle-smallness as a measure for the matrix similarity, but to evaluate the similarity of two $N\\times N$ matrices it is not very handy to have $N$ different values. Thus, we average over the $N$ values to arrive at a scalar similariy score.\n", "$$\n", "\\eta = \\frac{1}{N} \\sum_i^N w_i \\cdot \\Delta_i\n", "$$\n", "A large $\\eta$ indicates that on average the weighted angles between the eigenvectors are smaller than would be expected for random matrices, and this is what we initialy wanted to measure as similarity. \n", "\n", "In order to interpret a given $\\eta$ for a sample with a certain $N$ and $\\alpha$, we also need to know how $\\eta$ is theoretically distributed. \n", "We know how $w \\Delta$ is distributed and $\\eta$ is the average of $N$ samples of $w \\Delta$, so for a sufficiently large $N$ we can apply the central limit theorm.\n", "\n", "The central limit theorem states that the mean of a set of idependent sample values (here $w_i\\Delta_i$) tends to be normally distributed, regardless of the distribution shape for the sample values. This normal distribution centers around the expected mean (here $0$) with the standard deviation $\\sigma = \\frac{s}{\\sqrt{N}}$, where $s$ is the standard deviation of $g_{N,\\alpha}(w\\Delta)$. Following the definition for the standard deviation for continous distributions, we can calculate $s$ as the integral over the product of the distribution with the squared distance to the mean. \n", "\n", "So, finally we arrive at an analytical description of the similarity score distribution $f(\\eta)$.\n", "\n", "$$\n", "f(\\eta) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} \\exp(-\\frac{\\eta^2}{2\\sigma^2})\\\\\n", "\\sigma^2= \\frac{1}{N} \\int x^2 \\cdot g_{N,\\alpha}(x) \\ dx\n", "$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def similarity_score_distribution(eta, N, alpha):\n", " integrand = lambda x, N_, alpha_: x**2 * weighted_smallness_dist(x, N_, alpha_)\n", " var = sc.integrate.quad(integrand, -np.infty, np.infty, args=(N,alpha,))[0]\n", " sigma = np.sqrt(var/N)\n", " return sc.stats.norm.pdf(eta, 0, sigma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a final check, we plot a sample histogram of similarity scores alongside the theoretical distribution. In contrast to the previous plots, the number of samples in the histogram is no longer the number of vector pairs or eigenvalues, but the number of matrix pairs. Thus, to avoid confusion we call them *runs*. \n", "\n", "Because, each matrix pair generates only one similarity score, contrasting to $N$ eigenangles, it takes considerably longer to sample a reasonable amout to visualize them.\n", "" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def sample_similarity_scores(N, alpha, runs):\n", " similarity_scores = np.zeros(runs)\n", " \n", " samples = N\n", "\n", " for run in range(runs): \n", " # generate pairs of random eigenvectors and values\n", " eigenvalues_A, eigenvectors_A = generate_random_eigendecomposition(N=N, \n", " samples=samples, \n", " alpha=alpha)\n", "\n", " eigenvalues_B, eigenvectors_B = generate_random_eigendecomposition(N=N, \n", " samples=samples, \n", " alpha=alpha)\n", " M = np.dot(eigenvectors_A, eigenvectors_B.T)\n", " angles = np.arccos(np.diag(M))\n", " smallness = 1 - angles / (np.pi/2.)\n", "\n", " # calculate weights and apply to smallness\n", " weights = np.sqrt((eigenvalues_A ** 2 + eigenvalues_B ** 2) / 2.)\n", " weights = weights / sum(weights) * N\n", " weighted_smallness = smallness * weights\n", "\n", " similarity_scores[run] = np.mean(weighted_smallness)\n", " \n", " return similarity_scores" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "N = 10\n", "alpha = 500\n", "runs = 1000\n", "\n", "similarity_scores = sample_similarity_scores(N, alpha, runs)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "1a6d6277108e43d3bfec23a5838c6691", "version_major": 2, "version_minor": 0 }, "image/png": 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", ======= "model_id": "41b78157447d463aa462309695747e17", "version_major": 2, "version_minor": 0 }, "image/png": 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", >>>>>>> refs/remotes/origin/synced/master "text/html": [ "\n", "
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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "bins = 20\n", "xlims = (-.25, .25)\n", "\n", "# compute sample distribution\n", "bin_edges = np.linspace(xlims[0], xlims[1], bins)\n", "hist, _ = np.histogram(similarity_scores, bins=bin_edges, density=True)\n", "\n", "# plot sample distribution\n", "bin_centers = bin_edges[:-1] + np.diff(bin_edges)[0]/2.\n", "ax.bar(bin_centers, hist, width=.9*np.diff(bin_centers)[0], alpha=0.8, \n", " color=sns.color_palette('rocket')[0], label='sample distribution')\n", "\n", "# plot the analytical distribution\n", "xvalues = np.linspace(xlims[0], xlims[1], 100)\n", "ax.plot(xvalues, similarity_score_distribution(xvalues, N, alpha), 'k--',\n", " label=r'analytical distribution $p(\\eta)$')\n", "\n", "# format plot\n", "ax.set_xlabel(r'similarity scores $\\eta$')\n", "ax.set_ylabel('density')\n", "ax.set_title(r'Null distribution of eigenangle test ({}D, $\\alpha=${})'.format(N, alpha))\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Null hypothesis\n", "The basis of the null hypothesis is that the two random matrices are independent, so that the angles between their eigenvectors can be described by a random angle distribution.\n", "\n", "Furthermore we assumed that $N$ is large, so that the constraint that eigenvectors are orthogonal could be neglected for the angle distribution, and so that we could apply the central limit theorem in the last step. We assumed the eigenvalues follow a Marchenko-Pastur distribution, which requires as well an $N \\rightarrow \\infty$ and the matrices to be of the type $\\mathbf{Y}_{N}=\\mathbf{XX}^{T}$, as described in the section [*Distribution of eigenangles*](#smallness-b). With the numerical simulations along the way we found that $N>10$ is already sufficient so that by visual inspection the null distribution $f(\\eta)$ reasonably represents the randomly sampled test data.\n", "\n", "The working principle of a Null Hypothesis Significance Test (NHST) is that any violations of the null hypothesis in real data results in a score which lies more in the margins of the distribution, and is therefore less likely to be explained by stochastic variation. However, there are many different ways how the null hypothesis could be violated. There is no reason to assume that the test is equally susceptive to the different kinds of deviations from the null hypothesis. Without extensive calibration it therefore is very hard to say exactly how well the test detects similarity, and what this similarity means in detail." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## P-value and interpretation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As long as the null hypothesis is fullfiled for a dataset, the resulting similarity score will be a random variable with the probability distribution $f(\\eta)$. Here, the distribution is centered around $0$, so $0$ would be the most likely value to expect. The idea is that when the null hypothesis is not applicable anymore and the matrices are correlated, the similarity score will be larger. Ideally, a substantial correlation between the matrices results in a score which is very unlikely to be explained just by the stochastic spread of the null distribution.\n", "To quantify this evaluation, the probability of a score-value to be a random variable of the null distribution is defined as the integral over the quantile of distribution the value falls into.\n", "$$\n", "p_{\\eta} = 2 \\int_{|\\eta|}^{\\infty} f(x) \\ dx\n", "$$\n", "This probability value is commonly refered to as the $p$-value of the statistical test, or more precisely the two-sided $p$-value.\n", "However, here we are only interested in scores which deviate two larger values, i.e. the right hand side of the distribution. Thus, our test is a one-sided test. Deviation to large negative values are also unlikely to be explained by the null distribution, but do not indicate similarity. On the contrary, in that scenario the corrsponding eigenvectors of the two matrices tend to be perpendicular, which could be interpreted as an anti-correlation. So, in order to think of the $p$-value as the probability of non-similarity, we use the one-sided $p$ value\n", "$$\n", "p_{\\eta} = \\int_{\\eta}^{\\infty} f(x) \\ dx.\n", "$$\n", "This means as well that the average score $\\eta=0$ corresponds to a $p$ value of $0.5$, and scores with large negative values have $p$-values $\\rightarrow 1$. So as with every NHST we do not test the property of interest (here similarity) directly, but conclude it as an alternative hypothesis when the null hypothesis (here independence) is rejected due to a small $p$-value.\n", "\n", "Note: Historically, the decision whether or not to reject the null hypothesis is often done by setting a rather arbitrary significance level (e.g. $0.05$) and considering the $p$-value 'significant' when it's smaller and therefore reject the null hypothesis. There are various problems with that which are discussed in detail in multiple articles and papers, for example [here](https://www.nature.com/articles/d41586-019-00857-9), [here](https://doi.org/10.3389/fnhum.2017.00390), and [here](https://doi.org/10.1111/j.1469-185X.2007.00027.x). Generally, a good practice to work with a $p$ value is to regard it as another quantification, which is a random variable and has a distribution on its own. Thus, to make proper sense of it, its best combined with additional measures such as, for example, its confidence interval, an effect size, and an analysis of statistical power.\n", "" ] }, { "cell_type": "code", <<<<<<< HEAD "execution_count": 19, ======= "execution_count": 18, >>>>>>> refs/remotes/origin/synced/master "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { <<<<<<< HEAD "model_id": "b8d0005b2bf94b4ebbdeb972b6520365", "version_major": 2, "version_minor": 0 }, "image/png": 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", ======= "model_id": "3dde3771872542f0b0e48291e9d5476b", "version_major": 2, "version_minor": 0 }, "image/png": 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", >>>>>>> refs/remotes/origin/synced/master "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 20\n", "alpha = 100\n", "\n", "# calculate distribution spread to adjust plotting limits\n", "integrand = lambda x, N_, alpha_: x**2 * weighted_smallness_dist(x, N_, alpha_)\n", "var = sc.integrate.quad(integrand, -np.infty, np.infty, args=(N,alpha,))[0]\n", "sigma = np.sqrt(var/N)\n", "\n", "score = sample_similarity_scores(N, alpha, runs=1)\n", "\n", "# integrate over null distribution from score to inf\n", "pvalue = sc.integrate.quad(similarity_score_distribution, score, np.inf, args=(N, alpha))[0]\n", "\n", "\n", "fig, ax = plt.subplots()\n", "\n", "# plot the analytical distribution\n", "xvalues = np.linspace(-5*sigma, 5*sigma, 100)\n", "ax.plot(xvalues, similarity_score_distribution(xvalues, N, alpha), 'k--',\n", " label=r'null distribution $f(\\eta)$')\n", "\n", "# plot score and area ~ pvalue\n", "ax.axvline(score, color=sns.color_palette('rocket')[0], label=r'sample score $\\eta$')\n", "right_to_score = np.squeeze(np.linspace(score, 5*sigma, 100))\n", "ax.fill_between(right_to_score, \n", " similarity_score_distribution(right_to_score, N, alpha),\n", " color='k', alpha=0.3, label='~ p-value')\n", "ax.text(score+var/4, .2/sigma, 'p-value = {:.2}'.format(pvalue))\n", "\n", "# format plot\n", "ax.set_xlabel(r'similarity $\\eta$')\n", "ax.set_ylabel('probability density')\n", "ax.set_ylim((0,0.45/sigma))\n", "plt.legend();" ] } ], "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": "3.10.0" } }, "nbformat": 4, "nbformat_minor": 4 }