diff --git a/ca_source_extraction/.ipynb_checkpoints/demo_script-checkpoint.ipynb b/ca_source_extraction/.ipynb_checkpoints/demo_script-checkpoint.ipynb deleted file mode 100644 index 141364f10..000000000 --- a/ca_source_extraction/.ipynb_checkpoints/demo_script-checkpoint.ipynb +++ /dev/null @@ -1,411 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import pims\n", - "import numpy as np\n", - "import scipy.io as sio\n", - "from greedyROI2d import greedyROI2d\n", - "from arpfit import arpfit\n", - "from sklearn.decomposition import ProjectedGradientNMF\n", - "from update_spatial_components import update_spatial_components\n", - "from update_temporal_components import update_temporal_components\n", - "from matplotlib import pyplot as plt\n", - "from time import time\n", - "from merge_rois import mergeROIS\n", - "#import libtiff\n", - "from utilities import *\n", - "from scipy.sparse import coo_matrix\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Load data from a .tif stack\n", - "Shift dimensions of the 3d array so that time appears in the last dimension" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "t = libtiff.TiffFile('demoMovie.tif') \n", - "tt = t.get_tiff_array() \n", - "Y = tt[:]*1.\n", - "Y = np.transpose(Y,(1,2,0))\n", - "#Ymat = sio.loadmat('Y.mat')\n", - "#Y = Ymat['Y']*1.\n", - "d1,d2,T = np.shape(Y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Greedy Initialization and parameter estimation\n", - "Initialize the spatial and temporal locations using Gaussian spatial filtering. \n", - "Plot the centroids of the found components against the correlation image." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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11nOBuc57U5zXzxJe15LvLeYwwnMb4lg7kl8qAoevAn4PXKGU+hy4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\n78tphgcBfFJVo3ZfCW+8eU32n15TfJWKPLL7AveW7dQOE75EE5Jb8zq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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "nr = 30\n", - "t1 = time()\n", - "Ain,Cin,center = greedyROI2d(Y, nr = nr, gSig = [4,4], gSiz = [9,9], use_median = False)\n", - "t_elGREEDY = time()-t1\n", - "\n", - "#%% plot centers\n", - "Cn = local_correlations(Y)\n", - "plt1 = plt.imshow(Cn,interpolation='none')\n", - "plt.colorbar()\n", - "\n", - "plt.scatter(x=center[:,1], y=center[:,0], c='m', s=40)\n", - "plt.axis((-0.5,d2-0.5,-0.5,d1-0.5))\n", - "plt.gca().invert_yaxis()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "active_pixels = np.squeeze(np.nonzero(np.sum(Ain,axis=1)))\n", - "Yr = np.reshape(Y,(d1*d2,T),order='F')\n", - "p = 2;\n", - "P = arpfit(Yr,p=2,pixels = active_pixels)\n", - "Y_res = Yr - np.dot(Ain,Cin)\n", - "model = ProjectedGradientNMF(n_components=1, init='random', random_state=0)\n", - "model.fit(np.maximum(Y_res,0))\n", - "\n", - "fin = model.components_.squeeze()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "# Update spatial components with basis pursuit denoising\n", - "Update the spatial components and spatial background by solving the following optimization problem for every pixel $i$:\n", - "$$\t\\underset{A\\geq 0, \\mathbf{b} \\geq 0}{\\text{minimize:}}\\;\\; \\|A\\|_1 \\qquad\\qquad \\qquad\\qquad \\qquad\\qquad \\qquad\\qquad \\qquad\\quad$$\n", - "\n", - "$$\t \\text{subject to:}\\; \\|Y(i,:) - A(i,:)C^{(k-1)} - b(i)\\mathbf{f}^{(k-1)\\top} \\| \\leq \\sigma_i\\sqrt{T}, \\; i = 1,2,\\ldots,d $$" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1000\n", - "2000\n", - "3000\n", - "4000\n", - "Updated Spatial Components\n", - "--- 7.01998090744 seconds ---\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "update_spatial_components.py:453: RuntimeWarning: invalid value encountered in divide\n", - " gamma_plus = (lambda_ - dQ)/(one_vec + dQa);\n", - "update_spatial_components.py:453: RuntimeWarning: divide by zero encountered in divide\n", - " gamma_plus = (lambda_ - dQ)/(one_vec + dQa);\n" - ] - } - ], - "source": [ - "t1 = time()\n", - "A,b = update_spatial_components(Yr, Cin, fin, Ain, d1=d1, d2=d2, sn = P['sn'])\n", - "t_elSPATIAL = time() - t1" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Update temporal components using constrained deconvolution\n", - "\n", - "For every component $i$, the temporal trace is updated as follows:\n", - "1. Form residual filtered by current estimates of components: $$\\mathbf{y}_j^{\\top} = \\dfrac{\\mathbf{\\alpha}_j^{\\top}}{\\|\\mathbf{\\alpha}_j\\|^2}\\left( Y - \\left[\\mathbf{\\alpha}_1,\\ldots,\\mathbf{\\alpha}_{j-1},\\mathbf{\\alpha}_{j+1},\\ldots,\\mathbf{\\alpha}_{K}\\right]\\left[\\mathbf{c}_1,\\ldots,\\mathbf{c}_{j-1},\\mathbf{c}_{j+1}^,\\ldots,\\mathbf{c}_{K}\\right]^{\\top}-\\mathbf{b}\\mathbf{f}^{\\top}\\right)$$\n", - "2. update component $\\mathbf{c}_j$ using constrained deconvolution: $$\\underset{\\mathbf{\\hat{c}},\\hat{b},\\mathbf{\\hat{s}}}{\\text{minimize}} \\quad \\mathbf{1}_T^{\\top} \\mathbf{\\hat{s}} \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad $$\n", - "\t$$ \\text{subject to:} \\quad \\mathbf{\\hat{s}} \\geq 0, \\mathbf{\\hat{s}}=G\\mathbf{\\hat{c}}, \\quad \\hat{b}\\geq 0,\t\\quad \\|\\mathbf{y}_J - \\mathbf{\\hat{c}} - \\hat{b}\\mathbf{1}_T\\| \\leq \\hat \\sigma\\sqrt{T} $$\n", - "3. update component: $\\mathbf{c}_j \\leftarrow \\mathbf{\\hat{c}} + \\hat{b}$\n", - "4. Iterate steps 1-3 until convergence or stop after $\\texttt{ITER}$ full iterations" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 out of total 31 temporal components updated \n", - "\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 100.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1.0\n", - "10 out of total 31 temporal components updated \n", - "\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 100.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 0.1\n", - "20 out of total 31 temporal components updated \n", - "\n", - "30 out of total 31 temporal components updated \n", - "\n", - "0 out of total 31 temporal components updated \n", - "\n", - "10 out of total 31 temporal components updated \n", - "\n", - "20 out of total 31 temporal components updated \n", - "\n", - "30 out of total 31 temporal components updated \n", - "\n" - ] - } - ], - "source": [ - "t1 = time()\n", - "C,f,Y_res,Pnew = update_temporal_components(Yr,A,b,Cin,fin,ITER=2,deconv_method = 'spgl1')\n", - "t_elTEMPORAL2 = time() - t1" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Merge components\n", - "Merge components that overlap spatially and are significantly correlated spatially. Refine estimates." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/epnevmatikakis/anaconda/lib/python2.7/site-packages/scipy/sparse/compressed.py:730: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", - " SparseEfficiencyWarning)\n", - "/Users/epnevmatikakis/anaconda/lib/python2.7/site-packages/scipy/sparse/linalg/dsolve/linsolve.py:90: SparseEfficiencyWarning: spsolve requires A be CSC or CSR matrix format\n", - " SparseEfficiencyWarning)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 1\n", - "0 2\n", - "1 2\n", - "0 1\n", - "0 1\n", - "0 out of total 2 temporal components updated \n", - "\n", - "Updated Spatial Components\n", - "--- 0.597563028336 seconds ---\n", - "0 out of total 2 temporal components updated \n", - "\n", - "0 out of total 2 temporal components updated \n", - "\n", - "Updated Spatial Components\n", - "--- 0.479974031448 seconds ---\n", - "0 out of total 2 temporal components updated \n", - "\n", - "0 out of total 2 temporal components updated \n", - "\n", - "2000\n", - "Updated Spatial Components\n", - "--- 0.549482822418 seconds ---\n", - "0 out of total 2 temporal components updated \n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "constrained_foopsi.py:231: UserWarning: Original problem infeasible. Adjusting noise level and re-solving\n", - " warn('Original problem infeasible. Adjusting noise level and re-solving')\n" - ] - } - ], - "source": [ - "t1 = time()\n", - "A_m,C_m,nr_m,merged_ROIs,P_m=mergeROIS(Y_res,A.tocsc(),b,np.array(C),f,d1,d2,Pnew,sn=P['sn'])\n", - "t_elMERGE = time() - t1" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Iterate update of spatial and temporal components" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1000\n", - "2000\n", - "3000\n", - "4000\n", - "Updated Spatial Components\n", - "--- 7.32740902901 seconds ---\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 100.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1.0\n", - "0 out of total 27 temporal components updated \n", - "\n", - "10 out of total 27 temporal components updated \n", - "\n", - "SPGL1 produces an error. Using CVXOPT\n", - "20 out of total 27 temporal components updated \n", - "\n", - "0 out of total 27 temporal components updated \n", - "\n", - "SPGL1 produces an error. Using CVXOPT\n", - "10 out of total 27 temporal components updated \n", - "\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 100.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1000.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 100.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 10.0\n", - "W: Linesearch failed with error 1Damping max BB scaling to 1.0\n", - "20 out of total 27 temporal components updated \n", - "\n" - ] - } - ], - "source": [ - "A2,b2 = update_spatial_components(Yr, C_m, f, A_m, d1=d1, d2=d2, sn = P['sn'])\n", - "C2,f2,Y_res2,Pnew2 = update_temporal_components(Yr,A2,b2,C_m,f,ITER=2,deconv_method = 'spgl1')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Order Components and plot contour plots\n", - "\n", - "contour plots are saved in the variable $\\texttt{crd}$." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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jONqjqBrUQIQciFEDMaqcoJQFR0el9ueNnZwg6DdT9DXGePT429nnHI9XvH83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\niSENZ7HoRNlqKX4uiyAsVqUurKEiOVVmDzyd0pFhWMHUAEZMD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4mFZMFQW7eqLTvMJsmX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asMry0dp30cmjmuh0sZOqu1bkdrX00/zuxeezSnuzfhvQnjO691FK/1+MUaI0i/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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "A_or, C_or, srt = order_components(A2,C2)\n", - "C_df = extract_DF_F(Yr,A2,C2)\n", - "crd = plot_contours(coo_matrix(A_or[:,::-1]),Cn,thr=0.9)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 2", - "language": "python", - "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -}