From 56ae6301a5e124e5068566597f79d8e53df5d044 Mon Sep 17 00:00:00 2001 From: Chris Steele Date: Thu, 9 Nov 2017 12:11:13 -0500 Subject: [PATCH] updated with LogNorm display --- 2017_11_CalcHurst_per_vox.ipynb | 215 ++++++++++++-------------------- 1 file changed, 78 insertions(+), 137 deletions(-) diff --git a/2017_11_CalcHurst_per_vox.ipynb b/2017_11_CalcHurst_per_vox.ipynb index 9a57961..b3fc29e 100644 --- a/2017_11_CalcHurst_per_vox.ipynb +++ b/2017_11_CalcHurst_per_vox.ipynb @@ -2,17 +2,9 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import scipy.signal as signal\n", @@ -51,7 +43,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": { "collapsed": true }, @@ -65,7 +57,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": { "collapsed": true }, @@ -78,36 +70,11 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": { "scrolled": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Number of windows per iteration:\n", - "[ 59. 51. 43. 35. 28. 20. 12. 5.]\n", - "Window idx 0 with 59.0 windows, appx 5.0 samples per window\n", - "elapsed: 18.07s\n", - "Window idx 1 with 51.0 windows, appx 5.78431372549 samples per window\n", - "elapsed: 18.36s\n", - "Window idx 2 with 43.0 windows, appx 6.86046511628 samples per window\n", - "elapsed: 19.05s\n", - "Window idx 3 with 35.0 windows, appx 8.42857142857 samples per window\n", - "elapsed: 16.56s\n", - "Window idx 4 with 28.0 windows, appx 10.5357142857 samples per window\n", - "elapsed: 17.87s\n", - "Window idx 5 with 20.0 windows, appx 14.75 samples per window\n", - "elapsed: 17.88s\n", - "Window idx 6 with 12.0 windows, appx 24.5833333333 samples per window\n", - "elapsed: 18.71s\n", - "Window idx 7 with 5.0 windows, appx 59.0 samples per window\n", - "elapsed: 22.05s\n" - ] - } - ], + "outputs": [], "source": [ "#take signal\n", "#create new signal that is the sum of all signal to time t\n", @@ -142,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": { "collapsed": true }, @@ -166,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": { "collapsed": true }, @@ -186,50 +153,18 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wYfz73/+mcuXKjBgxgttuu43KlSsHHU1EipnKPQZt2rSJESNG8PjjjxMfH889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\n4JFMTWBzSWQrTkXtd6y+3nu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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "data_idx = 0\n", "plt.plot(np.log(float(t_pts)/window_nums.astype(float)),np.log(N_var_mat[data_idx,:]),'o')\n", @@ -243,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -257,6 +192,8 @@ "source": [ "############## \n", "# Do the same thing on our own data, a subset extracted for matlab testing previously\n", + "##############\n", + "\n", "%pylab inline\n", "fname = '/home/chris/Downloads/P05_500_vox_tcourse.txt'\n", "d = np.loadtxt(fname,skiprows=3) #skip the xyz coords, as this was extracted with fslmeants" @@ -264,14 +201,14 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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zxxQiSMykM4+Pp+QP32f80YfnXymr9e4Cgy4FVIXSjWhWkWacuKEFBYks9MVS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l35Wj9QPM4HgWc0sV9xlG6OqEPNZfmogemOkKMxkeD72H+J8vjvXX+Owi5/x7/F3/okkf9WRP65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OR4PEgtddsxcvOjIXeU6WGruYm/6s0Ib4fLUFhSBSGDUqw87/bgVDRaGHhLqZWTfDTgi5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\n22P+Yxt6PY+NYSeEqAA+COBVAC4D8GZCyGUbe1SZ8LcAXhl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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -297,39 +234,7 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([101, 72, 52, 37, 27, 19, 14, 10, 7, 5])" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "verbose = False\n", - "order = 2\n", - "data_masked_cumsum = np.cumsum(data_masked,axis=1) #cumsum over time\n", - "#window this shit\n", - "t_pts = data_masked_cumsum.shape[1]\n", - "#reverse, so we go from smaller num samples up\n", - "\n", - "window_num = 8\n", - "#per window (appx):\n", - "min_samples = 5\n", - "max_samples = np.floor(t_pts/5.0).astype(int)\n", - "window_nums = np.round(np.geomspace(min_samples,max_samples,num=10)).astype(int)[::-1]\n", - "window_nums" - ] - }, - { - "cell_type": "code", - "execution_count": 143, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -348,6 +253,7 @@ "source": [ "verbose = False\n", "order = 2\n", + "\n", "data_masked_cumsum = np.cumsum(data_masked,axis=1) #cumsum over time\n", "#window this shit\n", "t_pts = data_masked_cumsum.shape[1]\n", @@ -388,7 +294,7 @@ }, { "cell_type": "code", - "execution_count": 144, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -412,7 +318,7 @@ }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -421,7 +327,7 @@ "'\\ndata_mat1 = data_masked\\ndata_mat2 = data_masked\\nel_idx =0\\nres =np.corrcoef(data_mat1[0,:],data_mat1[1:,:])\\nres.shape\\nplt.imshow(res)\\nprint(np.corrcoef(data_mat1[0,:],data_mat1[1,:]))\\n#res\\nres = element_corrcoef(data_mat1,data_mat1)\\n'" ] }, - "execution_count": 145, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -453,16 +359,16 @@ }, { "cell_type": "code", - "execution_count": 146, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 146, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, @@ -470,7 +376,7 @@ "data": { "image/png": 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2717lWL6tXMSefxnnOE+AXuQBq/STcs7D2GelG52IIjr9/uAYxgHaGLQ9KVQC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\nOPbhxOHJ+expV+AZ4tr64vIyt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2tUFEuL2PG6QIo/coFODoB3i0sdya59jF67fn7OwaEQghcNRWrFvD7a6mrjVT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\nRX+2496yZXS5PMRh0DpsWXg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HpDFctJquVmhjsLaM36KEjMTHjIuZjKCuNbUqkYJXe0ul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\n8MEV+R9DOvzwuZOL7OeSODN7j3cCkTP7OZJzCQB4ugn8+tGalDJmMUF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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -519,6 +425,7 @@ ], "source": [ "## compute pair-wise correlations of all voxels in data\n", + "from matplotlib.colors import LogNorm\n", "data_corr = np.corrcoef(data_masked)\n", "#data_corr_null = np.corrcoef(data_masked,np.fliplr(data_masked)) #fliprd to reverse timecourse, time in cols, row are obs\n", "data_corr_null = element_corrcoef(data_masked,np.fliplr(data_masked)) #fliprd to reverse timecourse, time in cols, row are obs\n", @@ -536,7 +443,7 @@ "plt.plot(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr_null)),'.',alpha=0.05)\n", "\n", "plt.figure()\n", - "plt.hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr)),bins=50)\n", + "plt.hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr)),bins=50,norm=LogNorm())\n", "\n", "plt.figure()\n", "cnt,bins,patches =plt.hist(ms,50,alpha=0.5)\n", @@ -548,14 +455,14 @@ }, { "cell_type": "code", - "execution_count": 147, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { - "image/png": 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2ev0m2dzsjXFsmnNeNK+B9bpV1z5/3XvsWWiuB4C7pn3vbN6/dnr39vb+9Bx1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\nu9s93JvDw1bd4l0Pttscpzk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2wmw7lTv5UzWVm3g713Nc2DFI5erEMJWLbjIXEZPTy6lcKbltnprI1Zvs9nO5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\nj3bfrHRy49Zh7vgq7fz8Bou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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -564,36 +471,70 @@ ], "source": [ "f,ax = plt.subplots(1,2,figsize=(20,10))\n", - "p1 = ax[0].hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr)),bins=50)\n", - "p2 = ax[1].hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr_null)),bins=50)\n" + "p1 = ax[0].hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr)),bins=50,norm=LogNorm())\n", + "p2 = ax[1].hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(np.abs(data_corr_null)),bins=50,norm=LogNorm())\n", + "#plt.colorbar(p2[3], ax=ax[1])" ] }, { "cell_type": "code", - "execution_count": 148, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "" ] }, - "execution_count": 148, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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MLAX4wMzedPdPyqy5Ayhw9/ZmNhD4PXBzEMMeRTz7AeFqYn2Q0g83NqxgWxiO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\n7iIiEaRwFxGJIIW7iEgE/T9utufYunpRXQAAAABJRU5ErkJggg==\n", 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Oy+PxL01tIK7Afdz6w5iJ8e4wxnri51MTCdW16/Hz2XM8HirhpSOPf4214nD8uKZXtH5c\nzYRqzZNre8KY/u0XhzFlVlFerlxp1bqrgAwPAACoPDI8AABkjMKDAAAAFUGGBwCAXDl1eAAAACqD\nDA8AAJlyUYcHAACgMsjwAACQMfbwAAAAVAQZHgAAMpVTpeXKL3iKKgk+tXldGHPysvPCmNqkhzGN\n9QntAVa2LvHePDtuedC/Mi7Zv25l3IJhbV9csv/cvhPxWD2jYcxZXfF8zus5GsbUElo5DCS0luhL\nibH4uRj3uF1BI6E4WDMhaTvabN3yYbwez+VEM24/kdKioqcW9zM4MRUfJ0VK+4mVCS1QUow149/h\nZm9C+5eE40wNxDH1uEOMlHCaGz3xWFFM7ytxO5Fmwji7H70zjClKSvsJJFlvZsNzbg+5+1BZg1d+\nwQMAAJaEw+4+2KnBWfAAAJCxXD7SYtMyAACoPDI8AABkykVrCQAAgMogwwMAQMZoLQEAAFARZHgA\nAMiVc5UWAABAZZDhAQAgU7SWWCaKahtR235xGHN0W38Y4/WEMvCr4pjpvrj9hNdb39/VF7czWL0i\nrje/ceCVOCahbcTG3uNhzKbuY2HMqnrcxmJ1LX5c3Ra3NDi7FrexqFn8XNUVx0wltI1oJGwsTImJ\n2kKktLnoa8RtGlJaanRb3GagKNPN4JdGkie88Y+odWsOSerrj1uOnJxKSLBPxjGT6+Jz2H8wfuwJ\nL1MlnEINvNj6d2t6RfyYVrwQ/w5fc+kd8WQSpLSoSPl/TdcFW8KYB569K2lOWBzLesEDAADak0uG\nhz08AACg8sjwAACQKSotAwAAVAgZHgAAMpayWb8KyPAAAIDKY8EDAAAqj4+0AADIGM1DAQAAKoIM\nDwAAmfKMmodWfsGzp/mlMObqKz8axvQdjcu3H39NXJJ/ck1cv73ZmxCzunX59nUr49LsAz1x+fuz\ne0fDmHN64tYS67sS2k+ktJZIaBtxdi1uP9GX0NKgN+E9oMcS2j14QvsJa4YxkwnHOZnwxrUqaPlw\nvBm3Tkhpl1FX/JimPH4LWtMVP58pbSPO6o1bhUwmHGdVfxzzysnW7TskKeGlI68l9HtIyNNHrWgk\nyeJfLY1tiCfdPdZ6sLO++Xx4jOOXnRfG9B6NXzv1sbiFTErbiJT/j6Qoqh0SzkzlFzwAAODUuCwd\nAACgIsjwAACQLVpLAAAAVAYZHgAAMlbiHp71ZjY85/aQuw+VNTgLHgAAUIbD7j7YqcFZ8AAAkClX\nPnV42MMDAAAqjwwPAAC58plqyzkgwwMAACpvWWd4iir33eiPT8PY+jhmclXCWHHFeTVXxG0P+lZP\ntLy/tysuqX5uf9zuYXVXXG9+TVdcsn9j9/Ewpqi2EetqCefP4rX+ilrcKqRW4t8ME966JYQk9Xn8\n2E9665YPU4rHkeLnvJHQgXkyoedBynHGm/FzNdroCWNWdrf+vZKko+P9YUyjEb8uuvri8zyV8Je3\njcTvTc3u+EBej8/zwMH2UwGjr98Yxqx6+pUwpvnYk2GMX7E9aU6RotpPpMRYSs+RgtEtHQAAoCJY\n8AAAgMpb1h9pAQCAM+eieSgAAEBlkOEBACBbNA8FAACoDDI8AABkjMKDp8HMrjWzp8xsn5ndvsD9\nvWb2hdn7v21mFxYxLgAAQIq2FzxmVpd0t6TrJF0i6SYzu2Re2C2Sjrr7ayV9UtLvtDsuAABon7uV\n8tVpRWR4Lpe0z92fcfdJSZ+XdP28mOsl3Tf7/f2SrrJOlJMEAABZKmIPz2ZJ++fcPiDpzaeKcfdp\nMzsu6WxJhwsYv22N3njd1/tKXLJ/ZHPC6Wxd1X9GAUvBmsUfynYltGBIOc6K2mQYk9JCoJ5wcrot\n5QTGaiWut7stfuxTCS0hei1unzAVtI2QpEbwgX2fxXMZT3hMDS/mmoiphNfOdDMeq6b4tZxynEZC\nzPRU/F5Qq8XPlY3Gx+kaieeT8lTUEjqKTK6Mf2/O+bvWbUcm18YtPsY2rwxjegbithH28GNhTEq7\nh5TWEsuVO3V4TsdCZ2r+O0tKjMzsVjMbNrPhQ4cOFTA1AACAYhY8ByRtmXP7fEkvnCrGzLokrZF0\nZP6B3H3I3QfdffCcc84pYGoAAKCVplspX51WxIJnr6SLzGybmfVIulHSznkxOyXdPPv9eyX9b/dc\nLoQDAACd1vYentk9OR+UtFtSXdI97v64md0padjdd0r6rKQ/NrN9msns3NjuuAAAoH25pB8KKTzo\n7rsk7Zr3szvmfD8uqbq7vgAAwJJGpWUAADLGVVoAAAAVwYIHAABUHh9pAQCQKdfSaPtQBjI8AACg\n8pZ1hue6bbeFMdPP7Q9j6le9KYxp9sTl7RM6Nag+Ea+kpxsJMVOt5zM6GbchODIxEMb01+N684fr\nq8KYHpsOY15uxOXk6wntAaYSWl1MKX6yJgpqY9Gd0CtkPKElRIqE7gA6GbRqGPX4beFQI37OTzT7\nw5jjjfg1ONLoC2NS2k+MNuKWBiem4rGmG/HfiZbQkmV6Ij7PXo+Pk/IyrY/Fr8Fm/JahviPxfE6e\n1/oc9h6N3wu6HnokjPEr4tYSKW0jUhR1nKUqk6vSyfAAAIDqW9YZHgAA0AaahwIAAFQHGR4AAHKW\nySYeMjwAAKDyyPAAAJAx9vAAAABUBBkeAAAy5uzhAQAAqAYyPAAAZMqVzx6eZb3geeDZu8KYHbUb\nwpj6WFzqfOycuO56b0LZ9fp4/MJq9Mdl8qd7Wz91I/W4RP6x7vhxp+itFXOc0a7eMGYqoe3B2fWR\nMOZEM27C0JfQDqM7oa5/Ssx4wuNKMZ7QYuFI0MKjkdAK40QjbhtxIqElxOHpuJ3Iocm4jcWxyXg+\nxyYSWl2MJ7SWaMaJ8cZ0QvL8ePye0pXwfmEJLW16jybEHI9fpz2jcczAsyda3l87Fv9+NrdfHMc8\n/FgYs9SktEPC4lnWCx4AANAGl5RJhoc9PAAAoPJY8AAAgMrjIy0AADLGZekAAAAVQYYHAICcLdMM\nj5m9W9JPS9og6W53/6tW8WR4AADAkmBm95jZS2b23Xk/v9bMnjKzfWZ2uyS5+5fd/ZckfUDSv4qO\nzYIHAIBsmdzL+Up0r6RrXzVDs7qkuyVdJ+kSSTeZ2SVzQj48e39LLHgAAEAZ1pvZ8JyvW+cHuPvX\nJR2Z9+PLJe1z92fcfVLS5yVdbzN+R9ID7v630eDs4QEAIGfl7eE57O6DZ/DvNkvaP+f2AUlvlvSr\nkq6WtMbMXuvuf9DqIEt2wfO9R54J20LsaX6pkLEsoUR57bw3hzErX4hrvL+yNT7lXaNx6m96Vevk\n3FQtLlt/pL4inkstLiX/zMj6MGZiRUJLiO6U1hJx64SXg9YJkjRQmygkpqb4/NRT2k8ofu2c9Pj8\npDjWaP28jzbjcUYS2kaktJYYa8Sv08MTA2HM0Yn4tXxiIn5cY5PxfEaOxmOl/A+kayz+PU+JqU3G\nY9Un4wl5PR4rahshxa0jpp/b3/J+SerSljAm/q1Kay1U1P9HUqS0QzL7ZAkzWXYWenG6u39K0qdS\nD7JkFzwAAGCR+bJoHnpAetUq+HxJL5zuQdjDAwAAlrK9ki4ys21m1iPpRkk7T/cgLHgAAMiZl/SV\nwMw+J+mbkn7MzA6Y2S3uPi3pg5J2S3pS0hfd/fHTfZh8pAUAAJYEd7/pFD/fJWlXO8dmwQMAQNZK\n28Oz3syG59wecvehsgZnwQMAAMpwppelF4IFDwAAOVumvbROF5uWAQBA5bHgAQAAlbdkP9J63Zte\noz3D7VfATKmimVKNc83euMbR8cvOC2NWHI7rgzb64mrC9fHWT93JzfEmtLGpeL17sBHHrFk5FsZM\nNeLHNLYirnL78lRcdffs7tEwZmU9rqK8IiEmRb2gfPG4F/PrerLRuuLwRDMe55Xp/oSYuLLxscm4\navHEdDyfsan4tXN8NJ7z1GTCObb4+ew63BPG1BMqJHe3LlosSUooPq6usYQ5TxTzOo2qCV/5nk+E\nx+j/8t+EMWVWSK48PtICAACohiWb4QEAAIvMJS391hKFYMEDAADKQB0eAADQGV7eHp6O1uFhDw8A\nAKg8MjwAAOSMq7QAAACqgQwPAAA5y+QqLTI8AACg8sjwAACQsYTi4ZXAgkfFtZ9YsXldGDO+IS63\nf9b3psKYIxe3LqW/el9cb35kS5zgm2zEqc5jCb8s41MJ7QGm4/YAK3vidg/He+IWAinW9Zws5Dj9\ntbiHwFRCf4Cmx89XUwktRRqtz/NUM57Lscn4HKc8n6OTcQuGkfH4d2ZyIn59Nabj8+fH4/nUJuNz\nnPCUqz4WHyelbcTA83G7mun+eKy+o414sAJ8409/I4xJeb9NiUlBi4p8sOABACBXrmyu0mLBAwAA\nykClZQAA0AlW5lVaVFoGAABYTCx4AABA5fGRFgAAOctk0zIZHgAAUHlkeAAAyBkZHgAAgGogwwMA\nQM4yyfCw4ClQ9/NHwhh7eH8YM33Vm8KYdU+2bj9x4vz4qe07HNdemBqPa9tPel98nO64ZP/YiriF\nQE9v3Hajpysukb+qL25R8WJtVRjTVYvL+qcY6Ip7EYxOx+dwqpHQi6AAx8fi5zzFyfGExzSe8DaV\nUEbEXo7Hqk/FB+oaiWO6R+P5rH6umFYOza54PufuORDGjL92QzzWY08mzaldRbV7KKr9BKqBBQ8A\nALlylVl4cPlWWjazdZK+IOlCSd+X9D53Pzov5sclfVrSakkNSb/t7l9oZ1wAALDsLOtKy7dLesjd\nL5L00Ozt+U5K+gV3f72kayX9dzNb2+a4AACgAOblfHVauwue6yXdN/v9fZLePT/A3b/n7k/Pfv+C\npJckndPmuAAAAMna3cNzrrsflCR3P2hmLXe9mdnlknok/cMp7r9V0q2StHXr1janBgAAQksg+1KG\ncMFjZg9K2rjAXR86nYHMbJOkP5Z0s7sveGnL7OalIUkaHBzM5CkAAACLLVzwuPvVp7rPzF40s02z\n2Z1Nmvm4aqG41ZL+UtKH3f1bZzxbAACAM9DuHp6dkm6e/f5mSV+ZH2BmPZL+TNIfuXsxxRUAAABO\nQ7sLno9J2mFmT0vaMXtbZjZoZp+ZjXmfpJ+S9AEz+7vZrx9vc1wAAFCAXK7SamvTsru/LOmqBX4+\nLOkXZ7//E0l/0s44AAAA7aDScslq2y8OY/r2LbgV6lWiMvCrDkzHc5mKn/76REKp/ZPxcabWxMv7\n6RVxW4STKS0qBuLH/sor/WFMrR7PuTEVJ0n7BuK2EfV63KKi2Yyfi0Yjnk8ziGkWVHW1mXBuPCHG\nEtqb1BJep9aIY3qOxjG1hI4QVkzXCE2tiM/PuseOFTJW10OPFHKc67bd1vL+B569KzxGSkuIlPYT\nRbWoKMqSbXVRXqXljqJbOgAAqDwWPAAAoPL4SAsAgFy5yiw8uHybhwIAACTqaPNQFjwAAORsCVwy\nXgb28AAAgMojwwMAQMaWQlHAMpDhAQAAlUeGBwCAnJHhAQAAqAYyPImKKlGeUlq8dsGWMKbn8Mm2\n59L/fBxz4qLVccz5cen/lBYVze74OJ6wRJ9cEx+nMZDQymE6nrP3xscZS2iNUNifHl3xfGyk9a+9\nd8V/7tVPxhPumko4fwkV7btHEo6TcP56jscxFp8+Wdy5RP1H4gP1Ho0P1JVwnke3rQpjBp4NQ1Rb\nG7e9qR0bCWNSWkdEllpLiKKkPC6zDrR5IMMDAABQDWR4AADIlDlXaQEAAFQGGR4AAHKWspmuAsjw\nAACAyiPDAwBAzjLZw8OCBwAAlGG9mQ3PuT3k7kNlDc6CBwAAlOGwuw92anAWPAAAZIzL0gEAACqC\nDE+BUtpGlNWiImWcd+z4WBiTUv4+JWZkc08YU5+M/8wYWxev0Vf8vzBE4+vjdg/TA/FxmvWEtgcJ\nnSW6T8THSWl7MLU6PoddQauGRl88TnfcYUBdY3FMI35ZqD6ZMNZoQjuMhNfX+Nnx66tnJD7Oyh/E\nD74+Gj+w5mNPhjEpv+tlvjdhGSLDAwAAUA1keAAAyBWtJQAAAKqDDA8AADkjwwMAAFANZHgAAMgZ\nGR4AAIBqIMMDAEDGuEoLAACgIljwAACAyuMjrQKVWZq9iLG+uuf2AmaSVra+/52XhTG9u/aGMWdd\nsCWMeXHmL8oFAAAVKUlEQVTH+WHMhr+dCGNGN3aHMY2euCVErRGGaGJtHNN1Ms47DxyMjzPd1/o4\njb74MdXH47n0H4l7YaS0Cul9JR6rNl1MTIq+o/ETOr6hN4xZ9eiRMGbyqjeFMSm/f10JvzfXbbst\njHng2bvCGGCpYsEDAEDO2MMDAABQDSx4AABA5fGRFgAAucqoeSgLHgAAUIb1ZjY85/aQuw+VNTgL\nHgAAclZehuewuw+WNto87OEBAACVR4YHAICcZbKHhwwPAACoPDI8AABkysRVWkCyolpqpJS2n9q8\nLow5Z++xMKYx0BPGrPmfj4Qx0wml/1P0Hy4m2dpMaHWxZl/rthqTa+NzkzJOsyuO2bj7QHyctSvD\nmNqxkTAmRcrrqz46GcakzGf6uf1hzFcTWjnQEmLxpbTvKLO1EM4MCx4AAHKWSYaHPTwAAKDyyPAA\nAJCrjCotk+EBAACVR4YHAICckeEBAACoBjI8AADkjAwPAABANbDgAQAAlcdHWlgylmM12KIqsBZ1\nnGsuvSOMaT72ZMv7e8MjpFWY7tv3UhiT8pynnJtmGCF1XbAljCmqinKKpVaZl2rCp1b1x81l6QAA\nABVBhgcAgJyR4QEAAKgGMjwAAOTKRYYHAACgKtpa8JjZOjPbY2ZPz/73rBaxq83seTP7vXbGBAAA\nxTEv56vT2s3w3C7pIXe/SNJDs7dP5SOS/k+b4wEAAJy2dhc810u6b/b7+yS9e6EgM3uTpHMl/VWb\n4wEAgCJ5SV8d1u6C51x3PyhJs//dMD/AzGqSflfSb7Q5FgAAwBkJr9IyswclbVzgrg8ljvErkna5\n+34zi8a6VdKtkrR169bEwwMAgDO1FPbXlCFc8Lj71ae6z8xeNLNN7n7QzDZJWqiW/Fsl/aSZ/Yqk\nlZJ6zGzE3X9kv4+7D0kakqTBwcFMngJ0QkoZ/TLVtl9cyHF2P3pnGHP1lR9teb89/Fh4jK6HHglj\npsOI4izH0v9FtXIoqiXLcjyHwOlotw7PTkk3S/rY7H+/Mj/A3d//w+/N7AOSBhda7AAAgA4oL72w\n3syG59wemk10lKLdBc/HJH3RzG6R9ANJN0iSmQ1K+mV3/8U2jw8AAKrhsLsPdmrwthY87v6ypKsW\n+PmwpB9Z7Lj7vZLubWdMAABQkCVyBVUZqLQMAAAqjwUPAACoPJqHAgCQKZv9ygEZHgAAUHlkeAAA\nyBmblgEAAKqBDA8AABmjtQRQYUutjH5KS4iiPPiND7e8v6iWB0W17yjzubpu221hTHPtyjAm5flc\naq9BoOpY8AAAkLNMMjzs4QEAAJVHhgcAgJyR4QEAAKgGMjwAAOTK87lKiwwPAACoPDI8AADkjAwP\nAABANZDhAQAgY+zhAQAAqAgyPABepaiWB8uxdcIDz97V6SkAWCQseAAAyBkfaQEAAFQDGR4AADLG\npmUAAICKIMMDAECuXOzhAQAAqAoyPAAA5IwMDwAAQDWQ4QEAIFMmrtICAACoDDI8ADBrR+2GQo6z\n1NpqpDyupTZnlIgMDwAAQDWQ4QEAIGPmeaR4yPAAAIDKI8MDAECuqLQMAABQHSx4AABA5fGRFgAA\nGaPwIAAAQEWQ4QEAIGdkeAAAAKqBDA8AzKpqe4WqPi4Ugz08AAAAS5SZvcbMPmtm96fEs+ABACBn\nXtJXAjO7x8xeMrPvzvv5tWb2lJntM7PbJcndn3H3W1IfJgseAACwVNwr6dq5PzCzuqS7JV0n6RJJ\nN5nZJad7YPbwAACQKy91D896Mxuec3vI3YdeNR33r5vZhfP+3eWS9rn7M5JkZp+XdL2kJ05ncBY8\nAACgDIfdffAM/t1mSfvn3D4g6c1mdrak35Z0qZn9prv/11YHYcEDAEDOlv5VWrbAz9zdX5b0y6kH\nYQ8PAABYyg5I2jLn9vmSXjjdg5DhAQAgU6ZlUYdnr6SLzGybpOcl3SjpZ0/3IGR4AADAkmBmn5P0\nTUk/ZmYHzOwWd5+W9EFJuyU9KemL7v746R6bDA8AADnzpZPicfebTvHzXZJ2tXNsFjwAlrQdtRvC\nmKq2Tsj5sQNFY8EDAADKENbhWUwseAAAyFiJm5bPtA5PIdi0DAAAKo8MDwAAuTqNxp7LHRkeAABQ\neWR4AADImDU7PYNykOEBAACVR4YHAICcZbKHhwUPAAAow/Ktw2Nm6yR9QdKFkr4v6X3ufnSBuK2S\nPqOZbqcu6Z3u/v12xgYAAO3LpQ5Puxme2yU95O4fM7PbZ2//xwXi/kjSb7v7HjNbKSmTLVLA8nPN\npXeEMbsfvbOEmcyoauuE5dg2YjnOGfihdjctXy/pvtnv75P07vkBZnaJpC533yNJ7j7i7ifbHBcA\nALTLNdM8tIyvDmt3wXOuux+UpNn/blgg5nWSjpnZn5rZo2b2CTOrL3QwM7vVzIbNbPjQoUNtTg0A\nAGBG+JGWmT0oaeMCd33oNMb4SUmXSvqBZvb8fEDSZ+cHzm5eGpKkwcHBzi8HAQCouBL38HRUuOBx\n96tPdZ+ZvWhmm9z9oJltkvTSAmEHJD3q7s/M/psvS3qLFljwAAAALIZ2P9LaKenm2e9vlvSVBWL2\nSjrLzM6Zvf3PJT3R5rgAAKAIXtJXh7W74PmYpB1m9rSkHbO3ZWaDZvYZSXL3hqT/IOkhM/t7SSbp\nD9scFwAAIFlbl6W7+8uSrlrg58OSfnHO7T2S3tjOWAAAYFlbvoUHAQDA8mXKp/AgzUMBAEDlkeEB\nKqSISrhlVlFOkfKYatsvjmOOjRQxHU0/t7+Q46RIqXrdfOzJMKao6sdUUa6gJVIUsAxkeAAAQOWR\n4QEAIGO5FB4kwwMAACqPDA8AADkjwwMAAFANZHgAAMgYe3gAAAAqggwPAAC5cknN0lI8tJYAAACV\n19HWEix4AADIWSZ7eFjwABWSUvo/pVVDWeN0XbCl7blIae0VmgnHSXlc1227LYwpqv1EyuMq6hwW\nJXreaU+BTmHBAwBAxrhKCwAAoCJY8AAAgMrjIy0AAHLmeXymRYYHAABUHhkeAAAyxqZlAACAiiDD\nAwBArlwUHgQAACgQvbQAAED5TJKVd5UWvbQAxIpoCZFiqbWNSFFUu4KUx+VXbA9jrKDWEsuxDcNy\nnDPywIIHAICcpTSaqwCu0gIAAJVHhgcAgIyVuIeno8jwAACAyiPDAwBArjKqw0OGBwAAVB4ZHgAA\nsuV0SwcAAKgKMjwAAGSMbukAAAAVQYYHaENKK4IyS+0X1RairHFS2k9MvPOypDkVoazzJ6U99uu2\n3RbGPPDsXUVMB6g8FjwAAOQsk03LLHgAAEAZ1pvZ8JzbQ+4+VNbgLHgAAMiVS1Ze89DD7j5Y2mjz\nsGkZAABUHhkeAABylskeHjI8AACg8sjwAACQszwSPGR4AABA9ZHhAQAgY8YeHgAAgGogwwMsAUW1\nqLjm0jvanktKO4Pp5/aHMbXtF4cxUwM9YUzvrr1hzNVXfjSMefAbHy7kON0JLSFo94BlhQwPAABA\nNZDhAQAgVy6pvErLHUWGBwAAVB4ZHgAAMmVyrtICAACoChY8AACg8vhICwCAnPGRFgAAQDWQ4QEA\nIGdkeAAAAKqBDA/QhpR2D0UdJ6X9RIquoDVCSluElLnUjo2EMWObN4Yx/QktKib747eylLYR9dHJ\nMKaothFFtRMp6jjIVLmFB9eb2fCc20PuPlTW4Cx4AABAGQ67+2CnBmfBAwBAxig8mMDM1pnZHjN7\neva/Z50i7uNm9riZPWlmnzIza2dcAACA09HupuXbJT3k7hdJemj29quY2RWSfkLSGyW9QdJlkt7W\n5rgAAKAI7uV8dVi7C57rJd03+/19kt69QIxL6pPUI6lXUrekF9scFwAAIFm7e3jOdfeDkuTuB81s\nw/wAd/+mmX1V0kFJJun33P3JhQ5mZrdKulWStm7d2ubUAABAa0sj+1KGcMFjZg9KWuja0Q+lDGBm\nr5V0saTzZ3+0x8x+yt2/Pj929vK0IUkaHBzM4xkAAACLLlzwuPvVp7rPzF40s02z2Z1Nkl5aIOxn\nJH3L3Udm/80Dkt4i6UcWPAAAoESubDI87e7h2Snp5tnvb5b0lQVifiDpbWbWZWbdmtmwvOBHWgAA\nAIuh3QXPxyTtMLOnJe2YvS0zGzSzz8zG3C/pHyT9vaTHJD3m7n/e5rgAAKAIzZK+Osx8iaayBgcH\nfXh4OA4EOiilrH/UyiFVc+3KQo4TGd22KowZePZEGNMY6IljElpCTK2qhzGrHj0YxqSYfm5/GONX\nbA9jHvzGh4uYDjJkZo+UWY14Tf8mf+tr/k0pY+1+4r+U+tjmo3koAACoPFpLAACQMVpLAAAAVAQZ\nHgAAckaGBwAAoBrI8AAAkCuX1CTDAwAAUAlkeAAAyFY+zUPJ8AAAgMojwwMAQM4yyfCw4AEW2QPP\n3hXGpLSo0HNxSEobi/HXbmh5f0qbhtHXbwxj6hNx85yewycTYsIQHb/svDBmxQvjYUwjODeS9NU9\nt4cx1227LYxJeV2Uqaw5p7zW9zS/1PY4wHwseAAAyFkmGR728AAAgMojwwMAQK6owwMAAFAdZHgA\nAMiWSx5fYFAFLHgAAEAZ1pvZ8JzbQ+4+VNbgLHgAAEAZDrv7YKcGZ8EDAEDOuCwdAACgGsjwAACQ\nq4wuS2fBgywltXIoSErJ/tr2i8OY0W2rwpi+lybi42zsbnn/1KpN4TEmB+Lk8FnfHQljUoxtXhnG\npLSN6H7+SByTMJ+iXjspr4vp5/aHMSltGK659I4wZndJrS5oG4FOYcEDAEDO2MMDAABQDWR4AADI\nGRkeAACAaiDDAwBAtpwMDwAAQFWQ4QEAIFcuqZlH81AyPAAAoPLI8AAAkLNM9vCw4MGyklKd9oGE\nirFFVaetHYurCadUy/XN28OYVY8eDGPGX7shjOmaaP/NrWc0ToEf2b42jNl7b/x8Xn3lR5PmFBl9\n/cYwpnfX3jAm5bVT1Ou0KLsfvbO0sYCligUPAAA5yyTDwx4eAABQeSx4AABA5fGRFgAA2XKpyUda\nAAAAlUCGBwCAXLnkTuFBAACASiDDAwBAztjDAwAAUA1keAAAyFkmhQdZ8KBtO2o3hDEp5fhTpJTj\nL2o+KeX4U8aqbb84jJnsT/hV3LwujkkwcP+3W94/8c7LwmM0eyyMqU/Gb6KX//zvhjGrwwjJHn4s\njOlNOE7XBVsSomIp7URSLLUWFcByxoIHAIBcuUtNrtICAACoBDI8AADkLJM9PGR4AABA5ZHhAQAg\nY84eHgAAgGogwwMAQLacPTwAAABVwYIHAABUHh9pAQCQK1c2zUNZ8KBtRbWNKErKfFJaQvgV28OY\nBxPGSmkP0HdsJIxprl0ZxnQ/fySMGb/qTS3v7zk2GR9jQ9yoof/QVBjTc/hkGNMY6AljUp6rybXx\ncaYn4qtVUp7Pol6DAIrDggcAgJw5l6UDAABUAhkeAAAy5ZI8kz08ZHgAAEDlkeEBACBX7uzhAQAA\nqIq2FjxmdoOZPW5mTTMbbBF3rZk9ZWb7zOz2dsYEAADF8aaX8lU0Mxsws/vM7A/N7P1RfLsZnu9K\neo+kr7eYUF3S3ZKuk3SJpJvM7JI2xwUAABVjZveY2Utm9t15P18ocfIeSfe7+y9Jeld07LYWPO7+\npLs/FYRdLmmfuz/j7pOSPi/p+nbGBQAABfFmOV9p7pV07dwftEicnC9p/2xYIzpwGXt4NuufJiRJ\nB2Z/BgAA8I/c/euS5peMP1Xi5IBmFj1SwnomvErLzB6UtHGBuz7k7l+J/r0kW+BnC36YZ2a3Srp1\n9uaImUXZo8WwXtLhDoybg+V1bv/6/jDE7D+VMJEk6ef2+4s6jyo67det2ScXaSoLjbXQW+yysbze\nE8pxQZmDndDR3Q/6/etLGq7PzIbn3B5y96GEf7dQ4uTNkj4l6ffM7Kcl/Xl0kHDB4+5XJ0ymlQOS\ntsy5fb6kF04x1pCklAe/aMxs2N1PuQEbZ45zu3g4t4uHc7t4OLed5+7XxlEdt2DixN1HJf3r1IOU\n8ZHWXkkXmdk2M+uRdKOknSWMCwAAlr/kxEkr7V6W/jNmdkDSWyX9pZntnv35eWa2S5LcfVrSByXt\nlvSkpC+6++PtjAsAALJRSOKkrUrL7v5nkv5sgZ+/IOmdc27vkrSrnbFK1NGP1CqOc7t4OLeLh3O7\neDi3eBUz+5ykt0taP5tQ+S13/6yZ/TBxUpd0z5kkTsw9j6ZhAAAgX7SWAAAAlZftgie13YWZvdfM\nvFXrDLxayrk1s/eZ2ROzrUn+V9lzXK6ic2tmW83sq2b2qJl9x8zeudBx8Gqnqu46534zs0/Nnvfv\nmNk/K3uOy1XCuX3/7Dn9jpk9bGbby54j8pDlgie13YWZrZL0a5K+Xe4Ml6+Uc2tmF0n6TUk/4e6v\nl/TvSp/oMpT4uv2wZi4MuFQzG/t+v9xZLlv3al5113muk3TR7Netkj5dwpyq4l61PrfPSnqbu79R\n0kfEvh4skiwXPEpvd/ERSR+XNF7m5Ja5lHP7S5LudvejkuTuL5U8x+Uq5dy6pNWz36/RGVy6maNT\nVHed63pJf+QzviVprZltKmd2y1t0bt394R++F0j6lv6pci5QqFwXPGG7CzO7VNIWd/+LMidWASmt\nRF4n6XVm9tdm9i0zWw6Fr5aClHP7nyX93OzVDbsk/Wo5U6s8WuSU4xZJD3R6Eqimti5LX8Zatrsw\ns5qkT0r6QFkTqpCUViJdmvlo4O2a+Wvu/5rZG9z92CLPbblLObc3SbrX3X/XzN4q6Y9nz21y5z4s\nKLlFDs6Mmb1DMwueKzs9F1RTrhmeqGrjKklvkPQ1M/u+pLdI2snG5SQpFTEPSPqKu0+5+7OSntLM\nAgitpZzbWyR9UZLc/ZuS+jTTrwjtKaTSKxZmZm+U9BlJ17v7y52eD6op1wVPy6qN7n7c3de7+4Xu\nfqFmPld+l7sPL3w4zJFSEfPLkt4hSWa2XjMfcT1T6iyXp5Rz+wNJV0mSmV2smQXPoVJnWU07Jf3C\n7NVab5F03N0PdnpSVWBmWyX9qaSfd/fvdXo+qK4sP9Jy9+mFqjaa2Z2Sht2dXl9nKPHc7pb0L8zs\nCUkNSb/BX3WxxHP765L+0Mz+vWY+cvmAU100tFB1V0ndkuTuf6CZ/VDvlLRP0kmdRsPC3CWc2zsk\nnS3p92c7v0/TUBSLgUrLAACg8nL9SAsAAGSEBQ8AAKg8FjwAAKDyWPAAAIDKY8EDAAAqjwUPAACo\nPBY8AACg8ljwAACAyvv/wA341fsuV2wAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" } ], + "source": [ + "#subtraction\n", + "f,ax=plt.subplots(figsize=(10,10))\n", + "corr_diff = np.abs(data_corr) - np.abs(data_corr_null)\n", + "h = ax.hist2d(np.ndarray.flatten(Exp),np.ndarray.flatten(corr_diff),bins=50,norm=LogNorm())\n", + "plt.colorbar(h[3], ax=ax)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "data_idx = 5\n", "plt.plot(np.log(float(t_pts)/window_nums.astype(float)),np.log(N_var_mat[data_idx,:]),'.')\n",