{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import glob\n", "import math\n", "import time\n", "from scipy import stats\n", "import os\n", "from tqdm import tqdm\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import pickle" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def gaus2d(xy, amplitude=1, mx=0, my=0, sx=1, sy=1, offset=0):\n", " x, y = xy\n", " g = offset + amplitude / (2. * np.pi * sx * sy) * np.exp(-((x - mx)**2. / (2. * sx**2.) + (y - my)**2. / (2. * sy**2.)))\n", " return g.ravel()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def qckplot(img, xgrid=None, ygrid=None):\n", " plt.imshow(img, cmap=plt.cm.jet, origin='bottom', extent=(xgrid.min(), xgrid.max(), ygrid.min(), ygrid.max()))\n", " plt.colorbar()\n", "\n", "def plotgrid(imgs, titles, rows=2, cols=2, xgrid=None, ygrid=None):\n", " fig, axs = plt.subplots(rows, cols, figsize=[5*cols, 5*rows])\n", " for col in range(cols):\n", " for row in range(rows):\n", " if row*cols + col >= len(imgs):\n", " break\n", " if rows == 1 or cols == 1:\n", " ax = axs[row+col]\n", " else:\n", " ax = axs[row, col]\n", " hist = imgs[row*cols + col]\n", " pcm = ax.imshow(hist, cmap=plt.cm.jet, origin='bottom', \n", " extent=(xgrid.min(), xgrid.max(), ygrid.min(), ygrid.max()))\n", " fig.colorbar(pcm, ax=ax)\n", " ax.set_title(titles[row*cols + col])\n", " plt.show()\n", "\n", "def plot_estimate(img, approx_logl, bgm, hist, dx=None, dy=None, xgrid=None, ygrid=None):\n", " histnorm = hist / np.sum(hist) / dx / dy\n", " plotgrid([img, histnorm, np.exp(approx_logl), histnorm - np.exp(approx_logl)],\n", " [\"Input\", \"Histogram norm.\", \"Approx. prob.\", \"Hist norm. - Approx diff\"], 1, 4, xgrid=xgrid, ygrid=ygrid)\n", "\n", "def estimate_and_plot(img, nclusters=5, gmtype='bgm', maxsamples=300):\n", " approx_logl, bgm, hist = get_BGM_approx(img, vxg, vyg, maxsamples=maxsamples, nclusters=nclusters, gmtype=gmtype)\n", " plot_estimate(img, approx_logl, bgm, hist)\n", " return approx_logl, bgm, hist" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# https://xavierbourretsicotte.github.io/gaussian_mixture.html\n", "\n", "from scipy.stats import multivariate_normal\n", "import numpy as np\n", "from tqdm import tqdm\n", "\n", "class custom_GaussianMixture(object):\n", " '''Gaussian Mixture Model - vectorized implementation'''\n", " \n", " def __init__(self, n_components = 3, max_iter = 100, tol = 0.001, silent=False):\n", " self.n_components = n_components\n", " self.max_iter = max_iter\n", " self.tol = tol\n", " self.means_ = None\n", " self.covariances_ = None\n", " self.log_likelihoods = None\n", " self.weights_ = None\n", " self.silent = silent\n", " \n", " def fit(self, X, y = None):\n", " n,d = X.shape ## n = datapoints, d = features\n", " k = self.n_components ## K number of clusters\n", " # randomly initialize the starting means\n", " mu = X[np.random.choice(n,k,replace = False)]\n", " # initialize a covariance matrix for each gaussian\n", " Sigma = [np.eye(d)] * k\n", " # initialize the probability for each gaussian pi\n", " pi = np.array([1 / k] * k)\n", " # initialize responsibility matrix: n points for each gaussian\n", " W = np.zeros((n,k))\n", " # initialize list of log-likelihoods\n", " log_likelihoods = []\n", " # lambda function for gaussian pdf\n", " P = lambda m ,s: multivariate_normal.pdf(X, mean = m, cov = s, allow_singular=True)\n", " prf = tqdm\n", " if self.silent: prf = lambda x: x\n", " #===============================================================#\n", "# while len(log_likelihoods) < self.max_iter:\n", " for i in prf(range(self.max_iter)):\n", " # E step\n", " # nominator of responsibilities: j is the j-th gaussian\n", " for j in range(k):\n", " W[:, j] = pi[j] * P(mu[j], Sigma[j])\n", "\n", " # log likelihood computation (same as nominator of responsibilities) \n", " l = np.sum(np.log(np.sum(W, axis = 1)))\n", " # store log likelihood in list\n", " log_likelihoods.append(l)\n", " # compute W matrix by dividing by denominator (the sum along j) \n", " # effectively normalize for each point across clusters\n", " W = (W.T / W.sum(axis = 1)).T\n", " # sum of w^i entries along j (used for parameter updates)\n", " # these are the soft weighted number of datapoints belonging to each gaussian \n", " W_s = np.sum(W, axis = 0)\n", "\n", " # M step\n", " for j in range(k):\n", " ## Update means\n", " mu[j] = (1. / W_s[j]) * np.sum(W[:, j] * X.T, axis = 1).T\n", " ## Update covariances\n", " Sigma[j] = ((W[:,j] * ((X - mu[j]).T)) @ (X - mu[j])) / W_s[j]\n", " ## Update probabilities of each gaussian\n", " pi[j] = W_s[j] / n\n", "\n", " # check for convergence\n", " if len(log_likelihoods) < 2: continue\n", " if np.abs(l - log_likelihoods[-2]) < self.tol: break\n", "\n", " self.means_ = mu\n", " self.covariances_ = Sigma\n", " self.log_likelihoods = log_likelihoods\n", " self.weights_ = pi\n", " return self\n", " \n", " def predict_proba(self,x0):\n", " probs = np.array([ multivariate_normal.pdf(x0, mean = self.means_[j], cov = self.covariances_[j], allow_singular=True) for j in range(self.n_components) ])\n", " return probs\n", " \n", " def predict(self,x0):\n", " probs = np.array([ multivariate_normal.pdf(x0, mean = self.means_[j], cov = self.covariances_[j], allow_singular=True) for j in range(self.n_components) ])\n", " return np.argmax(probs, axis = 0)\n", " \n", " def score_samples(self, x0):\n", " return np.sum(np.array([ multivariate_normal.logpdf(x0, mean = self.means_[j], cov = self.covariances_[j], allow_singular=True) * self.weights_[j] \\\n", " for j in range(self.n_components) ]), axis=0) / self.n_components\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from sklearn import mixture\n", "\n", "def normalize(img):\n", " positive = img - np.min(img)\n", " return positive / np.max(positive)\n", "\n", "def get_BGM_approx(lkimg, xgrid, ygrid, maxsamples=2000, nclusters=5, wcp=None, maxiter=100, gmtype='bgm', tolerance=0.001, silent=True, altnorm=False):\n", " LENX, LENY = lkimg.shape\n", " LKMIN, LKMAX = (np.min(lkimg), np.max(lkimg))\n", " if LKMIN == LKMAX:\n", " lkimghist = np.ones((LENX, LENY))\n", " elif altnorm:\n", " lkimghist = np.exp(lkimg - LKMAX) * maxsamples\n", " else:\n", "# lkimgnorm = (lkimg - LKMIN) / (LKMAX - LKMIN) * maxsamples\n", " lkimghist = normalize(lkimg) * maxsamples\n", "\n", " # sample from the normalized image\n", " if not silent:\n", " print(\"Creating samples from normalized likelihood...\")\n", " samples = []\n", " for i in range(LENX):\n", " for j in range(LENY):\n", " for n in range(int(lkimghist[i, j])):\n", " samples.append([xgrid[i,j], ygrid[i,j]])\n", " samples = np.array(samples)\n", " \n", " if not silent:\n", " print(f\"Estimating BGM with {nclusters} clusters...\")\n", " if gmtype == 'bgm':\n", " bgm = mixture.BayesianGaussianMixture(n_components=nclusters, covariance_type='full',\n", " weight_concentration_prior=wcp, max_iter=maxiter, tol=tolerance).fit(samples)\n", " elif gmtype == 'custom':\n", " bgm = custom_GaussianMixture(n_components=nclusters, max_iter=maxiter, tol=tolerance, silent=silent).fit(samples)\n", " else:\n", " bgm = mixture.GaussianMixture(n_components=nclusters, covariance_type='full',\n", " max_iter=maxiter, tol=tolerance).fit(samples)\n", " if not silent:\n", " print(f\"BGM WEIGHTS: {bgm.weights_}\\nBGM MEANS: {bgm.means_}\\nBGM COVARS: {bgm.covariances_}\")\n", " points = np.array([xgrid.ravel(), ygrid.ravel()]).T\n", " scores = bgm.score_samples(points)\n", " scores = scores.reshape(lkimg.shape)\n", "\n", " return scores, bgm, lkimghist" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.colorbar.Colorbar at 0x7fe2be033100>" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "NPOINTS=200\n", "\n", "x = np.linspace(-5, 5, NPOINTS)\n", "y = np.linspace(-5, 5, NPOINTS)\n", "x, y = np.meshgrid(x, y) # get 2D variables instead of 1D\n", "# def gaus2d(xy, amplitude=1, mx=0, my=0, sx=1, sy=1, offset=0):\n", "z = gaus2d((x, y), 10, -2.5, 0, 3, 3, 0)\n", "g2do = z.reshape(NPOINTS, NPOINTS)\n", "\n", "dxyg2 = (x.max() - x.min())/NPOINTS\n", "\n", "# plot twoD_Gaussian data generated above\n", "plt.figure()\n", "plt.imshow(g2do, origin='bottom')\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating samples from normalized likelihood...\n", "Estimating BGM with 1 clusters...\n", "BGM WEIGHTS: [1.]\n", "BGM MEANS: [[-1.55584712e+00 7.64745243e-13]]\n", "BGM COVARS: [[[4.66389698e+00 1.35646005e-16]\n", " [1.35646005e-16 5.64923433e+00]]]\n" ] } ], "source": [ "g2dlikefito, g2dbgmo, g2dhisto = get_BGM_approx(g2do, x, y, maxsamples=300, maxiter=100, nclusters=1, silent=False, gmtype='bgm')" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating samples from normalized likelihood...\n", "Estimating BGM with 3 clusters...\n", "BGM WEIGHTS: [0.24754034 0.22951237 0.5229473 ]\n", "BGM MEANS: [[-3.21731624 -1.73224591]\n", " [-3.04920527 2.04701809]\n", " [-0.11397263 -0.0784311 ]]\n", "BGM COVARS: [[[ 1.18832369 -0.13850993]\n", " [-0.13850993 2.60358921]]\n", "\n", " [[ 1.3835574 0.08941535]\n", " [ 0.08941535 2.22269673]]\n", "\n", " [[ 3.38431151 0.11868943]\n", " [ 0.11868943 5.32917321]]]\n" ] } ], "source": [ "g2dlikefito3, g2dbgmo3, g2dhisto3 = get_BGM_approx(g2do, x, y, maxsamples=300, maxiter=100, nclusters=3, silent=False, gmtype='bgm')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating samples from normalized likelihood...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/300 [00:00<?, ?it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Estimating BGM with 1 clusters...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 1%| | 2/300 [00:01<03:14, 1.53it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BGM WEIGHTS: [1.]\n", "BGM MEANS: [[-1.55584712e+00 -1.47558285e-16]]\n", "BGM COVARS: [array([[4.66389696e+00, 1.68885068e-16],\n", " [1.68885068e-16, 5.64923453e+00]])]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "g2dlikefitoc, g2dbgmoc, g2dhistoc = get_BGM_approx(g2do, x, y, maxsamples=300, maxiter=300, tolerance=0.00001, nclusters=1, silent=False, gmtype='custom')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating samples from normalized likelihood...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/300 [00:00<?, ?it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Estimating BGM with 3 clusters...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 300/300 [06:30<00:00, 1.30s/it]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BGM WEIGHTS: [0.20841242 0.50438394 0.28720365]\n", "BGM MEANS: [[-1.00145352 2.67356067]\n", " [-0.62230703 -1.0527835 ]\n", " [-3.5976218 -0.09121109]]\n", "BGM COVARS: [array([[ 3.83033517, -0.10746548],\n", " [-0.10746548, 1.50156033]]), array([[3.88370693, 0.31989801],\n", " [0.31989801, 3.64125804]]), array([[ 0.71655025, -0.01961828],\n", " [-0.01961828, 5.04365843]])]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "g2dlikefito3c, g2dbgmo3c, g2dhisto3c = get_BGM_approx(g2do, x, y, maxsamples=300, maxiter=300, tolerance=0.00001, nclusters=3, silent=False, gmtype='custom')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximation with 1 clusters, Bayesian GMM:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1440x360 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_estimate(g2do, g2dlikefito, g2dbgmo, g2dhisto, dx=dxyg2, dy=dxyg2, xgrid=x, ygrid=y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximation with 3 clusters, Bayesian GMM:" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1440x360 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_estimate(g2do, g2dlikefito3, g2dbgmo3, g2dhisto3, dx=dxyg2, dy=dxyg2, xgrid=x, ygrid=y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximation with 1 clusters, custom GMM:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1440x360 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_estimate(g2do, g2dlikefitoc, g2dbgmoc, g2dhistoc, dx=dxyg2, dy=dxyg2, xgrid=x, ygrid=y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximation with 3 clusters, custom GMM:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1440x360 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_estimate(g2do, g2dlikefito3c, g2dbgmo3c, g2dhisto3c, dx=dxyg2, dy=dxyg2, xgrid=x, ygrid=y)" ] } ], "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }