{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# N170 with Muse\n", "\n", "This experiment consisted in the presentation of face and house images, in order to elicit the N170 potential. \n", "\n", "Stimuli were presented for 200 ms with an intertrial interval of 400 ms and random jitter of ±100ms. The task was to mentally note whether a \"face\" or a \"house\" was presented. Six blocks of 2 min were recorded for a single partipant.\n", "\n", "The stimuli set consisted in 12 grayscale pictures of centered human faces for the \"face\" condition, and in 12 grayscale pictures of houses for the \"face\" condition. The pictures were obtained from:\n", "\n", "> Haxby, J., Gobbini, M., Furey, M., Ishai, A., Schouten, J., and Pietrini, P. (2001). \n", "Distributed and overlapping representations of faces and objects in ventral temporal \n", "cortex. Science 293, 2425–2430." ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import os\n", "import sys\n", "from collections import OrderedDict\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "sys.path.append('../utils')\n", "import utils" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load data into MNE objects" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30720\n", " Range : 0 ... 30719 = 0.000 ... 119.996 secs\n", "Ready.\n" ] } ], "source": [ "subject = 3\n", "session = 2\n", "raw = utils.load_data('visual/N170', sfreq=256., \n", " subject_nb=subject, session_nb=session)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Power Spectrum" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tmax defaults to 60. in 0.14 but will change to np.inf in 0.15. Set it explicitly to avoid this warning\n", "Effective window size : 8.000 (s)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ ":1: DeprecationWarning: tmax defaults to 60. in 0.14 but will change to np.inf in 0.15. Set it explicitly to avoid this warning\n", " raw.plot_psd();\n", "/home/dano/anaconda3/lib/python3.6/site-packages/mne/viz/raw.py:614: DeprecationWarning: In version 0.15 average will default to False and spatial_colors will default to True.\n", " 'spatial_colors will default to True.', DeprecationWarning)\n" ] }, { "data": { "image/png": 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5oev6PsMwFo78WwYMw8jquv4e4Mu6rt8HpIGPFieyXghOp5Oampo5\ns5yI6X3x/zfffDMXLlygoaFhwU3QQCDAhz70IeLxOAMDA+i6TiQSYXp6munpabkxGwwGZUkMy7Jo\nbGxkenqavr4++vr6uP322xkZGSEYDOJyubBte9ZadEdHB+FwmHe+850lx2OxGOFwmKamJl555RVa\nWlpkbCAUDN7k5KQ0+hsFmqaVxUVfJHC2LGvN03wtxYt4I6BcY1suqKS33FoXmuG9oOv6x3RdXzTS\nVdd1h67rHwNeWLmulcIwjHOGYdxiGMYBwzCOGIbx8FLfa1kW+/btW3IqG13XyefzBAIBGVs31xO9\nw+GgtbWVWCxGIpGgpaWF5uZmMpkM6XSampoaPB4P0WiURx99FKfTSTwel0YtGo3K88bjcbq6umRc\n4Pj4eImnksvlYnx8XG7sCkxPT8tZYjgcLtmYF+vl586dk5vYGwWZTIaLFy+ueSHJdDpNLpdb8xme\nWC1QpUhoOca2XFBJb7m1LmQB3g78KdCl6/p9uq6/Qdd1mSZE1/UqXddvvjzj6gLuvfyedYflBDtq\nmkZjYyPZbJZEIlFysxEGBqC2tpZ4PI6mafj9fpqbm6WhgcIaczAYlDO2dDotZwaxWEyGSZw/f172\nddOmTTidTkZGRhgcHCSTyZDNZqmqquIXv/hFST9jsVjJLFTEFEJpyrOVLEobj8elV2G54HQ6y5J5\nRKSKW2uDJ/ZDVJgJlGtsywWV9K621lOnTi3YvlAcXhtwDPgc8LvAi0Bc1/WkrutJIA6cutz2OeC4\nYRgX5ztfObGcfQ+Hw0FjYyOhUIhwOMyuXbukocrlctKgud1umTB669at7N+/H7fbLWNdXC4X4XBY\nGkkRZ+RwOIjFYqTTaUzTZGJiQp5L9PnSpUu89NJL0u0WZgc9C2MIhZtifX09LpeLRCLB5OSk9JRa\nyhPVzNljT09PiRu8wODgoNyXLBdcLhdbt25d82VFMcNb6yTOIv3dRk8uDOUb23JBJb3l1rpYLs0c\n8D+B/6nr+hbgMNB0uXkCaDMMI7S6Xbx6LGffw+Px4Pf78Xg8ZDIZbr31Vp588kksy6KlpYVwOCzD\nFLq7uxkZGeGuu+4qcac1DIPa2lomJydlDs1IJEIgEMDhcMiYHeEa/NJLLxEIBDh27BhQ2Lerra0l\nFouVBGgKN3x4LSjz4sWLJBIJwuEwlmURDAblkqlw+V0M/f39bNmyhVwuh8vlkt6rwqFHIBqNrvkN\nv9hVWbilRyIRGhoacDgcazbzKdeSpnhwWSywdr2i2F19MYgVCVVmPSrpLbfWJT8uGoYxahjG04Zh\nPHj55+lrwdjB8kqqeL1eamtr2b17Ny6XC5/Px6FDh8hkMtTX1+PxeDBNk0QiQV1dHZ///OeBwoyv\nubmZbDbLX//1X3PbbbeRTqdlDs0HH3yQM2fO4HQ6ZRaCeDwuDdSrrxYiLVKpFFu2bMGyLIaGhuTF\nkc/n5bJmIpEgk8lgmiYvvvgio6OjBINBstkskUiESCRyRTM8sez5y1/+EigY17mK12az2UXPZ9s2\nhmEs5aNeEhKJBAMDA9i2zSuvvEI2m2VoaIhsNrtmFeWhfDM8cZ1cq+mnhPPUUlA8tipAJb3l1rrx\n10dgWS6w1dXVuFwuduzYQVVVFS6Xi4MHD+J0OnG73dTU1NDc3IymaXz0ox+VCalt2+b1r389kUiE\nu+++G5/Ph9/vp7a2ls9//vO0tLQQCoVk0Kxt24TDYb773e/KVDudnZ185CMfkXElfX19UoPD4WBq\naopIJML58+dJp9My+LKhoYH9+/fLWdDIyAiJRGJWOp65IDJbZLNZuru7ZfqzufJGFu9hJRIJmTWi\nGDMzsQgsdyk0FosxNTVFPB5ndHQUn8/HsWPH8Pl8TE5OrpkBEgZvrQ2Pw+Fgy5Yt12xYgiiOvBQU\nj60KUElvubUqYfCWs9wlXPgDgYA0bA6Hg+bmZjweD1VVVXI5rbjkTzab5dChQ4yPj9PY2AjAtm3b\nMAyDM2fOYNu2DAYXezI///nPmZycZHR0lMbGRp5++mne/vaC/4/T6SzZwxOOCy+++KKcYQpj9sgj\nj5TkrXvwwQf5+c9/Tj6fZ2RkBMuyePLJJ0uWeMXe4vPPP49pmnz7299G0zR6e3tL4gSLITImhMNh\npqamZKqiYhSnYhPI5XI8//zz8u8rwfT0NOl0mmg0Ouu80Wh01vlCoZCMhVxJpFIpGZoAyBjItcK1\nGpYw32pBBRWsJZQweMvZ92hoaABg165dbNu2TR4PBAJUVVXhcDiora2dFcwuUnFNTU1Jg3fLLbfw\nqU99ij/+4z8mHo+za9cuDMOgqqoKn89HY2MjBw8epLa2lkAgQG1trUw6DcjziCXCqakpxsfHGRsb\nk0mubdvm4sWLtLe3Mzk5SSaTkXlC+/v7+eIXv0g0Gp3lcCJmYaFQSIZTZLNZ0uk0vb29JBKJWTdZ\nMcObmJhgenqacDg8K8D93LlzZDKZkrx3xUuhnZ2dZDIZYrHYnEa1GFNTU6RSKS5evEgsFpPJZc+d\nO0c6nSaZTM4a4+7ubs6cOVOS93IlZmWpVKrEC/fll19edaMnwmLC4fA1azTENbUUFI+tClBJb7m1\nXrXB03X91pXoyGpirgwri2H37t1AwauoOF1Nc3MzNTU1svrCzOVSMXNzOp3SUN10003U1NTQ1NRE\nIpHgV3/1Vzlz5gwvvfQS4XCYRx99lD179vCRj3yEQCDAli1bZCUGKNzwvvKVr/DP//zPWJZFIpHA\n4/EwMjLCuXPniEajTExMMDQ0hN/vJxQKMT09LSs6dHd309raysjICLW1tSVLkOFwuMQz1OfzycoO\nDzzwgKzjB6/NBsUMLx6PS4P3zDPPyGUry7KYnJwkHo8zODgouUSVCUAG3j/yyCOyeK7AxMRESab8\nnp4emZNvYmJCJhjeuXOnrAI+0+BlMhkuXbpUYogNw7hqoydSxgnDrWlaSfWE1UA+n8fpdFJXV3fN\nevKZprnkz16M7XK+t9ciVNK72lr37du3YPuSDJ6u65au6/+k6/pcvfxfy+nYWuJqvYFaW1vl39u2\nbaOxsVHuzYmkpVC4MWmaRnV1NYFAgOrqauC1GWZNTQ2JREIuj3Z2dnLq1ClefvllWYV9z549HD16\nlOrqarnn0dnZydGjR7njjjvo6urCNE05S3vppZd48cUX+d73vifL5SQSCRKJhAyPSCQS+Hw+GfpQ\n/HQVi8WIRCIle2A+n4/BwUEGBgZwuVwyXOFHP/oRqVRKOtskEgni8TherxfTNOno6KCzs5OhoSFp\nlIoNkSixlMvlSKVSGIaB2+2W3qoChmFIg5LJZOjq6mJsbAyv18v4+DimaeJ0OmlqaqK/v59cLjdr\nEzybzVJdXU1nZydjY2OkUinGx8evOuA1lUqV6BIhIFeCufq7EMQMu7q6+pqNw7uS2EUxthvdY1HA\n6XRSX1+vhN7VHtvNmxeuY7DUGZ4FvBF4Xtf1nTPa1v038Gr3cYpd+qurq6mqqqKurg6v11tS/0nU\n6XK5XGzbtk3enIT3o9/vL9msdTgcBINBjh07xvXXXw8gZ3hut5v29nbGxsYYHBzk4MGDHDlyhO7u\nbpqbm/nzP/9zkskkwWCQWCxGKpVi586dDAwM8PWvfx3TNPH7/SWpfCYmJmRm8scee4zp6WkymQzB\nYFAGqAutsVgMn8+Hx+ORQfO2bXPmzBkikQj5fJ7JyUlisZic8UQiEc6cOcOpU6dobm6murq6xOCJ\nGeLo6CihUIhIJILL5ZplhEKhkHxfOp1mbGyMSCQis9Zks1nOnj0r07FZljVrWVEE6qdSKc6dO0ci\nkSCVSpUY1+UUck2n09LhSHwmVxqEPzo6ekXvEYWEE4nEFRnKtQ6dWAiWZS3ZsSiXyxEMBq/ZEIwr\nRS6X49SpU0roLffYLtXg5YBbgF8AZ3Vd/82itnW/i74aG/3btm3D6/Xi8Xik59z27dtxu924XC4+\n9KEPydeKZaitW7fyH//jfwQKN/9NmzbR19fHzTffTGNjI7lcThqFX/mVX+H++++nvb2d6elp6urq\n8Pv9xGIxTp06xYkTJwiFQrLc0c6dO9m1axfhcJivfvWr0jBPT08zODiIx+ORs0LTNBkbG6O7u5tk\nMsmrr77Kgw8+yI9//GPC4TC9vb1MT09TX1+PbdvSYOdyOYaGhvjTP/1T8vk83/zmN+WMVVR0F0bO\ntm1Z9kRAGJhQKCQNkCi3VDxWosArFLK6FO//iFmiYRiMj49LQzczw4I4Z01NDd3d3XIvsrhmXHHY\nhDjvXCi+UWezWZxOJ6Zp0t3djWVZdHR0LLpcl8/nZZ+Es89SIfYMiwufAoumiyvePy03RCWQpb52\n5qrDRoZlWYyNjSmhd7XHdrF6eFcSh5c1DONe4OPAt3Rd/9zlPJvrfoa3Gi6wTU1NuFwuGhoaqKur\nY3x8nM2bN7N7926qqqpoairE5+fz+RJXcjHbuvnmm3nrW98q3yOWucTymN/vp6amhq997Wv09fXh\ndDpljbK+vj5OnDhBMBiUzi2/8zu/w549e6ivr6elpYVXXnkFl8vF0NAQR44cwev18vWvf53e3l7p\n+DE0NERvby/nzp3jl7/8pTQCnZ2dhMNhduzYQTqdJhaLyRv22NgYfr+fbDbL8PAwFy5cAAoGJJFI\n4HA4yOVyOBwOvvnNb5YYs3/7t39D0zQikUiJgSj+++zZs7KKuW3bTE5Olnx+tm1LZ58DBw5IAzQz\n32lxJhxRwSKZTMrl2fb2dsbHx2Vxz9OnT9PX1zfL4zSdTpcUoxS1EFOpFAMDA+TzeVk1o7iaNFAy\nmwyHwzLUI5FISAO+0JdfxK6J7DzNzc0lcYCnT58GmDMbDlDi3VtuiJJKS4HX651V9WMjw+v1sn37\ndiX0rvbY9vQsXLtgqQZPGjXDMB4CXg+8A3j6Cs6xIbFv3z5qamrYsmULBw4c4Pjx47JwJRS+6D6f\nr8SxIZ1Oc+jQIdxuN3/yJ38ijZmI5YPCWvRv/uZvsnPnzpI9IlG/z+/3Mzg4SEtLCw0NDfh8Pqqr\nqzFNk5tuukneBGOxGDt37qS6upqmpiY+/elPc+nSJWpra/na174mDV1TUxOmaXL69GlZz6+pqUm6\n4D///POyBlxLSwvBYJBIJCID7l0ul7zB53I5nE4nw8PDUnckEpHZYCYnJ9E0jR/84AcAJc454oLN\nZDL09vbS1tYmb/aA9JA1TVPG44XDYRwOhzQixbMp8Z4XXnihZPl5ZGSEiYkJ+vr6yOfzhEKhkmrs\nAqOjoyVjJ/ZphReseKAZHx8nGAyWLK0+9dRTcukyHA4TiUQwDEPGTgKcOXNGBvrPxKuvvirDSYSx\nGB0dJZVKlbj5nz9/fs7Z6ZXuLQqI0I/lvn8uXMkMTzy8XKshGFcKsRqigt5yj+1SjdXPiv+5XDbo\njUA7sO5di1YzSHjr1q3SSUWU4BGZWKDwlF5VVSVTK4knfHGTLw4or6+vl1nxm5ubuemmm3jPe97D\nJz7xCcm3c+dOmfZscnKSvXv3sn37dmlkDMOQ1YYFv9/vlwbtDW94A1DwyHz88ccZHx9namqK3/u9\n3+PVV1/lt37rt+R7hSt8MBhkeHhYLltu27aN3t5e0uk0Pp+PRCKBy+XCNE26urqora3F4/GQy+UY\nHh7mzJkzPP7440xPTzM1NSVnQk899RSWZZHL5WQNQWE0U6kUY2NjxGIxmaUGkM490WiUH/7whyST\nSZ555pkSIydKMs2E1+uVDjPCcIhqEyId28z9xLGxsRJHEeHhKmbJwjknGo0SjUblrEpUshYGcHh4\nmOnpaUZHR0vyn0aj0XmXYUTMn7h2xsfHmZycJJ1OS29YKDxMzNwTmc9gWZZFOByek09AxGCePXt2\nxZZFr8TgZTIZzp49q0T1AEBmWFJBb7nHdkkGzzCMd8xxzDQM408Mw1j3M7zVzk4x03tu27Zt+P1+\n6clYW1srk0Vns1lpfARECEFDQwNer1fG+DmdTt74xjeWhEVs3bqVLVu2sGfPHv7mb/6Gw4cPs2/f\nPiYmJqShq66ulo4V0WiUuro6mYfyPe95D+FwmEwmw549ezhy5AiXLl2itbVVxggKBAIBLly4IGca\nIvh706ZNDA0NUVVVxdatW2XmmFgsxn333ccXv/hFUqmUXEpsa2vD6XQyOTlJMpnE5/Px0EMPUV9f\nz/T0NLlcjh/84Af85Cc/QdM0abzEsmbx+P34xz8GkDGLmUxGhgoMDQ1x6tQppqam+PSnP10yRmLp\nVyyTJhIJ+aQpjMhMwzE5Ocn58+dLHFSi0agcS7HfCMhlyvHxcbq6uojH4/LJHZBV7OPxeMlenNvt\nLtGXTCblLDeVSsm0cCKZuWVZxONxXn75ZWk0s9nsLGcWUUi4GMPDwxiGQVtbG7lcbt5YKBHHeeHC\nBbnnebW4kvyjHo+HAwcOXLNZZa4Ujz/+uAy72ego99guGNSj6/qfLuEctmEYX1qh/qwKVjvDfEND\nw6xYMlHXTtM0GaDe0tIiDVJxfJrf7yeZTLJ3715CoRDDw8MEAoFZrrupVAqPx8P73vc+6WSRSqXw\n+/34/X4ymQzxeJzt27ezdetWGhsbiUQi1NbW8u53v5vXv/71xGIxvvOd78hCtzfddBPPPvssTqeT\n6upqamtryefzuFwujh07xsMPP4yu63R0dHDy5Eluv/12mpubeeWVV+QSbEdHB8lkkieeeIL3vve9\n/PjHP+bZZ5+lqamJTCaD0+nEsiycTqc0cIODgwQCAX72s5/xnve8RwayC6cXkQ5NxDIC/OQnP+Hp\np5/m13/91/F4PDzxxBPs3LmTVCqFy+VicHCQixcvMjIywqZNm2hvb+fgwYPAazNpj8dDKBTCNE2Z\nIaerqwtN0+Q+qhi3/v5+HA6HNL6vvPIKtm1LpxUxi3O73VLn2NgYiUSCl156CZ/PJ4vFZrNZotEo\nNTU1ZLNZOQMWibAFTNNkeHiYffv2kUwmZc5Wh8MhvYLHx8dlJpt8Pl8S5jA8PMy2bdu4cOGCPBaL\nxfB4PAwPD8vZ6ODgIKZpouv6rOtZJAQQTkXwmuPXcsMihCPTfBgZGaGlpQWHw4HD4ShJvLDRIR5+\nVaiEUe6xXewT/uSMn3+c49gnV7ODK4HV9n6qq6uTMXcCIlZrZuYUn89X8n8kEsHv97N7927q6uo4\nduyY9LCcGWTsdrvlft+2bdtkkLjL5ZKV0MfHx/F4PLzlLW9h9+7d/MEf/AFOp1Pm8wwEAvT19XH2\n7Fk8Hg8NDQ3ccccdQGHfUNM0Dh8+jK7rbNmyhZqampIb7osvvkhjYyPBYJBAIEBdXR1PPPEEP/rR\nj1/ccRkAACAASURBVDAMg5tuuon6+nqee+45tm7dWjKb8fl8pFIpHnroIYLBIFu2bOH++++nt7cX\nTdNoamqSzg0iK0soFJIB6ydPniQUCknvz+7ubhmXKArkillpXV0d3/3ud2eNvdvt5syZM8RiMVwu\nF7lcjt7eXnw+H16vl0wmwy9/+UsymQzJZJLa2loymQzf+ta36OrqwuPx4HQ6qampYWhoiPvuuw9A\nGuloNEowGJQ37lAoJGeqxYH7uVxOencKgxUMBkkmkzKzjGmaJYZHpEqbmpqSS0Lnz59H0zR57mee\neYZcLsfLL78stQeDQV544QWGhobkbLWnp2fBbBfRaJTm5mb5+snJyasqIrzYDG9iYqJkxtrf37/s\nBMMrufe4Fkgmk4yMjCiTPPr06dOzYm/XCgsaPMMw9hb/AObMY4ZhLBzargCqqqpK9pmg4MSRTqc5\nfPgwNTU17Nq1i6qqKrxeL263m+uvv16WBfJ6vdx8880AbNmyhRtuuEEug0LhZiBmCrW1tWSzWZmt\nQLymvr4en8/H2NiYrImXzWZlijSn0ymrPlRVVVFTUyP3rk6cOEEul+OWW24B4MiRIxw9epTa2loO\nHDhATU0NsViMe+65h4GBAZqamgiHwzQ1NVFbW8uuXbtoa2vjE5/4BHV1dWiaxqFDh9i8eTPf+c53\n5L5lQ0MDqVSK5557jt27d9PS0sL27duJRCI4HA6SyaTMMGOaJvF4nE984hP8y7/8C/F4nEuXLrF/\n/37Gx8eBwkzEMAwCgYB0JBHLnNXV1YTD4ZL9MXHzPn36NBcvXqSvr68kBKKuro5oNMrJkydn7bOJ\ncXK5XHIZUsz8RGqzXC5HfX091dXVMpNEMpmUy5+NjY3S+ImKFmJfsb29XWbNSafTMkOMWCZ1uVxy\nCVYUHK6urpbLya+++qr0RM1msyUzqnQ6zeTkJKFQaN59v+JE3/l8XvKL18Risasq+rvYDK84xlB8\nPst1bGhra7umXPzF0rUqTivxeHzdx+EJXJMjstope1wuV0k2FsHpcrmkF+XevXtlaiiv10tra6uc\nqQnHF4GjR48ChRmRmPHYts3Ro0fljKuxsVFyQGGpbu/evTgcDvbt2ydvkGIm6XQ6cTqdRKNRTpw4\nwZ133slb3vIWtm/fTjqdJhQK8frXvx54LUg4EAjw/ve/X864AoEAyWSSrVu3Eo/HCQQCpFIp7r33\nXu68806OHj0qZ7ubN2+mublZph/75je/idfrZWJigmQyyQ033MDu3bt53eteRyKRYGJigqeeekrO\njEXKML/fj2EYxONxbrnlFt761rfy3HPPEQ6H5V6iCAERe53pdBqPx0NLS0tJmMFHP/pRoLBnev/9\n9zMyMoLL5ZKOMFNTU/j9fhoaGkq+lD6fb1bCADFb2blzJ//0T/8kjcxM2LZNKBSS16Bw3kgkErIU\nlNDb3d1NMBiUzjQul0vGQbrdbhobG/H7/TKm0OVyMTU1hcfjIRKJ0NPTQz6fJ51OywQDgJwpFmeI\nEQ87ok8dHR2yfI/YNxTxfyJgvziO0rIs+vv756yUUbx3KbCY04oI6xDX8nXXXVeyzzPXZztf2MVc\nzkfrGdlslrq6OmX28LZt27Zq9+QTJ04s2L7xF41ZmwzzMwdQGKOdO3fKoHFhDIRjSn19PU1NTXPu\no0BhxiFc7mtqajhy5Igs0Orz+XC73VRXV8sbyTve8Q7uvvtuqqur8Xg8spKDuDnm83kCgQDvete7\nZHmj2267jS1btuByuaRziwhFaGxslMVVxWd4+PBh3G43gUCAt771rezZs4eamhp+4zd+A03T8Hq9\nBAIBfu3Xfo3t27dTV1fH1NSUXL7r7u7m4MGDHDp0iJtuuokTJ07gcrmYnp5maGiIrq4uent7CYfD\nvPrqq+zatYvx8XFCoRBvetObOHr0KD//+c8ZHBzE6/Vy9913z/rcEokEd911F/feey8jIyNEo1F6\ne3vxer1EIhEymQybNm2S8XRiL+/ee++VS50/+clPME2T/v7+knNrmkZVVZWsVP+ud72Lffv2kUql\nGBkZobe3t+TG7nA46Ovrkzcz0Vb8MGKaJpFIhPr6ejnb7erqIhQKSUcZKNz0xcxc0zScTidTU1N4\nvV65FAoFgy4y5wwPD2NZlqzjKGZaYlYajUZlJpr+/n75+QiDkc1meeKJJ+QSaz6f54UXXiAYDNLd\n3c2zzz5bsoQoPuuOjg7i8bicFYrl2LkMpNAmjKQw2sWf46OPPjrrPc8888yc5xLp764VpFIpmZR8\no0Pk4L1WZnjXJIrL96wVxNKXgNfrZefOnfj9fjmbq66uXjA/YlNTk6y+IDTs2rVLHvN4PCUzQ+GI\nYdu25Pb7/eRyOdxuN4cOHWL79u1y+bV4diiWJ8VyqXCucblc0lgCfPjDHyaTyfClL32JHTt28MY3\nvrGk2oFlWezYsUMa3He/+91cvHiRw4cPc/DgQUZGRjh8+LDUU1NTwyuvvCLDFQzDYGBggGw2y09/\n+lOuv/568vk8jz76KC0tLQQCAXbv3s3o6ChTU1McOHCAlpaWEm/CZDJJS0sLfr+fVCrFP/7jP/Lk\nk09y7Ngx6aDytre9jcHBQZ5++mn5vi1btjA+Po7b7WZqaoqJiQl++MMfcurUqZIwh9raWrkMJZxh\nhoeH+elPf8q3vvUt/u7v/k6+1u12yzAAwzDkrKm2trbkuhTLpuL3uXPnOHnypJyVi7qJYqYk0qsJ\nZyDxoAIF4yL2Gw3DKHHEKQ5nsCyL8+fPy4Kc09PTnD9/vsTD0+FwSA9ToXlgYIBwOEwoFJLHoXAz\ne+WVVwiHw/J8Ylw++tGPynZgzv0qcR7TNGlra5Plr1Kp1KxQCtu2GR0dnfPGmc/n5bL3tYBEIiFD\nQTY6xHd8XYclXOuY6VCyFhD7ZQKapuHz+WhubpbejXV1dXI5bS5s3boVl8s1y0gKx4ljx46xZ88e\n+XqPx8P+/fvlPqFYrhNegfv27WPnzp00NDSQTCalUXS73dJpxuPxyJmH4BGOG1AIVRCzFbH/JPYR\nxSxCOMFomsb73vc+zp07x/ve9z5uvPFG4vE4t99+O/v375eVKJ5++mmCwSDveMc7OHfuHGNjY2za\ntIl9+/Zx0003cdttt/HpT3+aLVu2AHDfffcxNDREIBDA5XLx5je/WVaBF+WGij/74eFhBgYGOHjw\noMxaI8IzRFyc0CZmSVu3buX73/8+kUiEc+fO8fDDD/OjH/0IKBi8np4eenp6pMGLx+MMDQ0xNjYm\nQyXEdSAM2xNPPMHIyAh/+7d/W/I07/P5eOCBBzBNk5deeomRkREG/3/23jtKrvq8H/7c6b3tzOxs\n19a7WmlRo0oYIQECXGhxAjYxNucleWNMYvvkTWwnJ6/zJsf2ccEnxdhxMIntn2NjTA02YAuZqgJI\nSGhZ7d5t0vY2vfd5/1iehzuzVUK7KuPnnD2guTP3uc8t3+c+7fMZHYUkSTzuoFQq4XK5OM154MAB\nHD9+nCNvmrtTqVQIBoMYHx/nAfdsNsvHcPLkSR6ZCAQCGBkZ4ZlCclBy1By1Wg2dTsfjFEeOHEEu\nl8Ps7Cw3Dx06dAixWAzhcJgBujOZDKLRKLxeL7xeL5RKJWKxGKanp+H3+/HrX/+6CBUjEAiww9Zo\nNNiwYQM0Gg1eeuklBip455132FlTxEgOj8AD6Fy8+uqriEajyOVyq85m8UElk8nAbDaXTUqzvr5+\n1VKahPy0mCzp8ERRPCqK4tv0B0Ar/7fs8w8soijaRVF8TBTFgiiKzpJtN4mi+I4oigPv/fem09n3\nuUCY1+v12LVr17zPCTIMAEchi4nJZEJTU1MR84IgCLj55psBzC3Qra2t7HAohUmLlEKhgE6n44gQ\nmKs5uVwuTt0BczehWq2GWq2GxWJhZ0FdoRaLhRkYwuEwO1OtVgtBEHg/kUhkHkA2MRp4PB7kcjl8\n6lOfglar5Zqi0WiExWJBV1cXRFHE0NAQ1y6pxkkpWBKaSVMqldwNqVKpEI/H8eijj/Jv5d+nGqR8\n/i0YDGJqagrf/e538dOf/hQ2m61ocaQZxEQigcbGRhw8eBCzs7MwmUw4ePAgurq6oNVqUSgUkE6n\nMTU1hRtvvBF79uwpQlyJRqN45pln4PP58NZbb+H666/HqVOnEAgE8K1vfYsdb09PD5588kn853/+\nJ8bGxjA9PY39+/fzYqhUKrFv3z4eR6AXqEKhgEKhgGQyCb1ej1OnTnGXKzklerFyuVzsbMfHx6HV\natmhxuNxBINB6HQ6Bg8HUFQrHBwchN1uh9/v53tGDgZOsHAUcUajUfT29sJut8Pr9aJQKOD48eOY\nmprCzMwMO+zHHnsM2WwWkUiE71sCLpiZmWHdR44cwezsLLq6uqDX64tAxqmjl9Bv9u/fj3g8viBB\n8fkk9MJVLmMJq2nnct2fy2l+puTvnxb47JkPepCiKNoBHMIcckvptkoAjwG4X5KkFsxhef5SFMWl\neSBkci7afdVq9ZLODJiLIpaaSSFuPbfbXUR7UVVVxf9P0Rwwly6YmJhAPp+HyWRi3ElarEioBkVN\nKh6PB3q9nrtIaWienFJNTQ0EQUA4HIZOp+MUZ0VFBRQKBQwGA3K5HHcnUuSnVqshCAIcDgd3/t1w\nww0A5lJ4giBArVbj/vvvx3333YdQKMRvf7Ozs3C5XNDr9XC5XAueG2I6p6hs//79OHjwIFwuF9eh\nXC4XbrnlFo5eabA9FAohFouhs7OTxxOcTiePBgCAKIpwOBxwu9245ppr8IlPfAInT56ExWLhRZ7q\nsfF4HH/xF3+BD3/4w6iqqsKBAwc4rUa0SVqtFj09Pdi8eTPDkE1MTOCll17Czp07cfLkSTQ1NaGn\npwfT09Po6OhAIpFAMBjkIf7XX38dFRUVnDGYmJjAV7/6Va7L0f1AtTiqvZFQJOp0OrnJh+p6qVSK\nryk1AgHvdxzTfW2xWHi2j0AUCHOV+BOz2SzS6TQMBgPC4TA0Gg1HoFTXS6fTGBkZwcjICPx+P7LZ\nLF544QUkEgkMDAzwHKTf72enOzw8zC8LBAZO3anxeJxrf0qlEkNDQ5icnJxHTny+CdVfyyWleerU\nqTNiKjkbsujguSiKWyRJ+sc1PJY7AMQA/L8ln/8RgC5JkvYDgCRJB0VRfBfAbQD+cyU7vlA5xIC5\ndFddXV0R2opcFAoF1+QEQYBGo4FWq4XJZGKH4nA4isYmqGGFRhZqa2tRW1uL8fFxmEymojSrUqlE\nY2Mjj0k4HA4UCgXU1taioaGBU7fUtalSqaDRaBAKhWC326FSqdDY2Mi1JoreCAlGq9Vi3bp1qKio\nwOzsLHbv3o1UKoXe3t4ipnmSZDIJlUoFo9HIKTO1Wo18Po8nn3wSe/bswbXXXsvprtraWkxPT+PL\nX/4yc/tRA000GkVnZye8Xi9uvPFGzMzM4OGHH8bk5CQ+//nPw2Aw4G/+5m8QDAaLujfphSAcDkOr\n1cLtduPkyZPYtm0bBEGAx+PBz372MwwPDzOrRU1NDYLBILq7u+HxePDmm29Cr9fj3nvvxc9+9jP8\n0z/9E5555hm43W6o1Wr4/X78/d//PZ577jmEQiEeNQkEArxY6PV6HD58GA6HA3a7necPH3vsMbz8\n8svYvXs3CoUCHnnkEXR0dDDBb39/P9avX88vSnSuaKg+Ho8jkUjgqaeewn333VdEh/T444/jT/7k\nT5DJZDiyp45QGtPIZDLMxQiAqZ2i0Sgj8hAQts/nw/j4OHeNhkIh7ko9efIkNBoNvF4vtFotO1OK\nXhUKBUZHR+FyuTiSladiCSD9g3Cvyeu0qyXLjWxcTEJ0ZeeqQWepCO9ZURS9oig+IYri50RRXL9a\nByFJUkCSpO5FNrcD6Cv5rA/AhpXu/0JliQbmFjUaNl9M6G1crVZzZ6TRaOSGE+LuIzEajdiyZcs8\nFgliedDpdEWLREVFBXbv3o2WlhZYLBYolUrs3LmTUWSoLd7pdM6DRjOZTLjlllt4cJ1SaIVCgdOc\n8iaanTt3orq6Gq+99hoaGhqKuvXkbOMmk4lrWiqVColEAk6nE3v27OGUriAIaGtrw44dOziN6vF4\nGIPU7XZj3bp12L17N2pqarBlyxbu3Pz6178Oh8OBxsZGbNmyBblcjjskqab6zW9+E1qtlmmeyBGp\n1Wp86Utfwl133YXx8XEeLaFRDRoPiEQiqKysxLe//W3o9XqO6Hfv3o3LLrusaFzC4XBgx44daGlp\nwYMPPghgbvEYGRmB0+nEwMAAfvjDH2JiYoKjMRotOHjwIPbu3YujR49yWloulIYkForvfOc7+N73\nvsd1Ubo3AGBwcJDPNQmR+hIxbygUKmK3pxcb+i810FBUNj4+zvRHlGpuaGhAPp+HVqvl80rg6MQW\noVAoEAqFEIlE4Pf7WTel4hUKBaanpxd1JnQfApjXjUvy2muvrXqEqFar+Tm/2EWtVsPpdJ6z9O2i\nWiVJqgVwNeYYEXYBeE0UxQlRFH8uiuJ9oiie1sC5KIp3vedAS/8Gl/mpEUBp/Jt47/MVCeXIqc5B\nC6gcPb+0FVpO9ZLL5YoejlQqxW+81PJNkkwmix70D6qbanCL6U4mk0xrn0gkEIlE+OGx2+1Qq9Uw\nGo1F+5dHhXLdZrOZU6f0Rr1jxw7YbDaYzWZuNCGosGQyidraWh5HsNvtMBqNPCAPzNWMRFFEoVBg\nhnhiP9i5cyeSySSnfgmJpbGxEZdddhnPu1HUkE6nOZqjLlBy2tlsFp/97GdhtVq5ZplOpzl1St9x\nuVxob2+H2WzGgw8+CI1GA1EUeXDcbrczPxm9SGQyGfh8PiaUJbSchoYGxiilmbBYLMYwY9RkQw5B\nr9djx44dPDJAkSPppu/eddddXP8lclur1QpRFHHVVVehp6eHeRBpgX/hhRdQXV2NyclJ7vwlhBaP\nxwOVSsUYoKFQCA899BCeffZZRKNRHDx4EDMzM1AqlewgdDoddu/ezfdhT08PUqkUpqenOWVJ95NG\no2GgbI1Gg8997nPcLENOjmqQNNoAzI1PRKNRzMzMMPRaoVBAOBzmeU2VSsWOjq6h/BwTn+Ps7Cyy\n2Sz8fj8vpiaTiVOlBHYuf8aOHDkCr9eLfD6P3t5efsbIqQJzqXc5woz8+Vvo+aZnX/58lz778ueb\nPqP9ynXTM7aauuXr2pnoBnBaulOpFF+/1dC93LjDckgrvZIkfV+SpI8DcAH4CIC3MZd+fEcUxZOi\nKP7Xkhre39ejkiQ5F/hrXuanUQClcwXG9z5fkRDlSz6fR3d3N88NUfceMHdSu7u7+WYYHh7mVvRY\nLIbu7m6+OAMDA9wmHQgEilAqenp6uPGBSFYX0i2noiHddKPIdev1eu6cI91UGyLdlO6k4eHa2lrM\nzs7yWIHJZCrSHQgE2E55Czg1IHi9XjgcDsRiMZ6boxkqInwl3Z2dnQDm6oAGgwF2u50dVC6XQ2Vl\nJaanp5HJZOBwOLiLsr6+nnEjBUFANBplRBCLxYIPfehDnK6KxWIcQTmdzqJ6zbp16zA9PY2Pfexj\nqK6uRjgc5tpaJpPB9PQ0Pzx+vx/RaBQf//jHkcvlMDExwQ/I7OwsZmdn4fF4YLFY0NDQwA5vbGwM\n9fX1/KBRTQ0A+vr6eCg7EokU4aCOjo7yIk/oITfccANHd8FgEAaDgecMCc9zZGSEI6poNIpIJAJB\nEJjKaPv27di5cycSiQQzb4yMjMBoNGJycpJfdn7xi18glUqhsbERN910E5RKJZ588kmEQiG8/PLL\neOedd7B//3709/fzIvTKK6/g1ltvxezsbBGb+969e/HlL38ZDocDJ06cwOHDhxni7L/+678wNDRU\nFAmFQiH84Ac/wNDQEDedJJNJjI6OskOamZnB2NgYO6menh6+t55//nnmLqQokGRgYIBTl+FwGG+/\n/TYDsJ84cYKvdywWQyAQQCQSwYEDB9Dd3Y3BwUG88sorOHnyJEZHR9n2w4cP88I5ODiI6elp7lwl\nzkRgbrSECJG9Xm8Rm0R3dzc3TUxNTbGjpGeMjmt0dJTtISQeAmYn3XQO5VyMct0+n2+ebnrpkuvO\nZDLzdFMTTzweL0KlGRoaOiu6iZqsVPfY2BhGR0cxOjrKoPIL6Q6Hw/N0EyjCcrqXI4BdDjy6TpKk\n0feUFgAcfe/vO6IoqgBcCWD3kho+uHQD+EzJZ+sB/MdKd0AMAAqFgtudgTmGcnIkWq2WOeoAoKGh\ngSMDo9GIDRs28L9bWlo4/WC324uaU+S1EbfbzYtmqe7q6up5ummbXHdVVRWcTueiuuX1tvb2dmzc\nuBEqlQq5XA4OhwOCIKCyspJn40p1y1vA5boTiQTbrdFokM/n0d7eDr/fj8nJSdat0+lgsViwadMm\njuAIRu3w4cMQBAEtLS3w+Xyw2WxQKpWw2WyMJiOKIurr6xEIBFBbW8ug2jqdDlVVVWhsbMT4+Dgq\nKyuh0+mwceNGDA8PY+PGjVAqlWhtbUV9fT1eeeUVAO+PehDs2vr165lhgEY6qOGjubkZPp8PhUKB\nHet9992HX/3qV7j55pv5RcLhcOCyyy7DE088AWAOeu2aa64BAG7yIMomg8GAlpYWDA4Ooq6ujumV\n6H4A5lK3l19+OX7+859DEAS4XC4olUrueq2qqoLJZMLMzAyDAWg0GnR2dmLjxo3YuHEjLBYL6uvr\nuXYViURQVVWFZDIJhUKB2tpaHD9+HD6fDw0NDWhpacGpU6dw6tQpuN1uVFdXo729HV6vFwaDAa+9\n9hrcbjcKhQI6OzvhcDjQ0NCAQCCAhoYGNDU14bbbbkN/fz/27duH8fFxfP7zn0dVVRX6+vpgt9s5\nlUnp2RMnTmD9+vVYt24dpzTr6uq4xEA8jsFgEDabje8nv9+PTCbD97bBYEBNTQ3f506nEy+99BJu\nuOEGGI1G2O12fsGy2Wy8iNrtdq675nI51NTU4NVXX+VZRIPBwKlQt9vNz1VzczPy+TyOHz/ObfQk\noijy9+R1cABF6wcBxS/0jNXV1fHzbDAYuKmLxorohcBqtaKjo2NB3RUVFUV1/cV00/ztYro3bNjA\n+2xqalpV3bW1tXx+TSYTamtrF9RtsVjOWPeGDUtXupYrbp0URfEFzDmX37zn9AAAkiRlAbz+3t9q\nypMAviWK4nWSJO0TRXEPgBYAT690B1S/ooWORD4LIk+PAcWUQtStWLq/hbbJ90H1pbXSLR9klutu\naWmBXFaim2442j9hN1IRX667tbW1yPHW1tYyQgsR21L6kxD76eZ2OBzYuHEjent7YbVaMTs7i3Q6\nzcdBEGrU8OJ0Ork+Q7ig9Jn8nJD9VquVCW2NRiMfJ9UXKWp1uVxcX/jEJz7BLOrUIGGz2aDX6/GN\nb3wDRqORWRjsdjucTicj6NhsNmzduhWjo6PI5XIModbV1cW6FQoFtmzZwk059FJCTiyTyTCCTmVl\nJVKpFDckGY1GHlGprKzEpZdeyqMugiDweb/66qvh8XggSRKnou12O/78z/8cw8PDUKvVReMFR44c\nwRVXXAGFQsFzinV1dbj//vvxyCOPQBAEbnz52c9+BpfLhXA4jMcff5yd8rFjx9DR0QGHw4FUKgWz\n2cwzf/J5ULkjoCjKaDTytaO0PHE8UhNKKBRirNUXXngB1113HVwuF49lEOWRVqvFo48+irvuugvA\n+7Xf/v5+BoR499134XK5oNPpGLmGHIFarcaTTz7J10ClUsHn86GioqLo+Vvp8126Tf5808sSgHlU\nWEs9+2dL95msO3LdAE5bNz37q6F7MdQqkuUqhzcDiAD4FYARURT/URTFumV+c9oiiuLHRVHsxVy9\nEAAOiqLYK4ri5ZIkeTHXqfkdURT7AXwdwG2SJPlXuv9yaPcF5lKjJ06cWBUUA1oIKyoqsGXLlqJt\npcPzDoejqAhPTSQ0ZiCPiOkNmcYb9Ho9p8aollRRUcELHzD3QFitVoyOjvKbMemitC11j9IDIX97\npH+rVCrmxSNAZlp4AXBLP3GVNTU1obq6Gkqlkh/sqqoqiKIIq9UKvV4Pm83G+wbm5i49Hg+zMchh\nuKjGl0qlcOmll+LP/uzPUFtby9BxWq0W27Ztw/bt2xlgWl6jqK6uxic+8QlYrVZUVlZyY1AqlcKu\nXbtw9dVX4+TJk1yvbW5uxiWXXILa2lo0NzfDbrejra2No3fC4ATm3pwtFgu++MUv4n/+53+4DkMo\nPtXV1YzfaTabEYlEsHfvXsRiMR5VMBqNOHToEAYHB4vqcA8//DC+9rWvYWxsDD/4wQ8Y+u6tt97C\n3r17YTQaMTw8jFQqhcnJSTzyyCOIx+N46qmn4HQ6uQ5FkTM5eqrXBQIB9PW93+dmNpshCAIzEmg0\nGphMJqTTaaTTaXi93iI0oXQ6jZmZGT7eXC5XtL/VkHA4fM5a9ddSUqkUhoeHz7+xBACQJGkvgL2i\nKNoA/CmAewH8vSiKv8UCUd+ZiiRJjwN4fInt+wBsWWz7clIO3U8AuHazGvbSIr5SNAg5tJrBYODa\nBkVCJO3t7QDmapwOh4Mjp2w2y80wHo+HKYCAuUV369atGBkZ4TQg8D5AMaUvb731Vq4FkE6z2Yxg\nMMjNMzqdrmjGTKfTMT5lKpWC3W5HOp2GIAjo7OzE+Pg4RxxerxeVlZUwm83s5Cn6UqlURS8eHR0d\n/NJAc5EUket0Onb26XQaLpcLBoMBVquVGwsUCsW8a0tvwtXV1QwYXlFRgbq6uXdSchzk8KjZZs+e\nPZz2IxaKD33oQzh27Ng8VKKtW7ciFApxVFZbW4tvf/vb+M1vfoOxsTHYbDZmwRgaGkI0GuUUnV6v\nR39/Px599FFs3bqVHYjZbObIzufzoa6ujh36G2+8gd27d8PlcsFoNOLo0aMwGAzo7+/nYX6fz4c7\n7rgDr776Kj75yU8W3XM9PT3413/9V9TX12NmZobTyDSnSNkC4n0kCDSCZ9NqtfD7/TAajUWN+xXu\nqQAAIABJREFUElRfWg2h8aELeXxqpULnfrVkOWqolTKeByVJ+p4kSdsAXAbgJIBH8F7U90EPcrWl\nXByeSqViOLKzLbRYr1SUSmURXial76gmKd8vAB54F0URLpcLmUyGF4L29nbuygSAyy67DG1tbbBa\nrRzBNTU1MbvC1VdfzfRGarUayWQSzc3NEAQBO3bsYEZ4qp9UVlYyagg1mVAnqlar5WN3OBzcpSr/\nnkajwUc/+lGO8ID5YOKEjEKNPfF4nCMKOk8GgwGZTAYulwtms5nrlrlcDiqVCtXV1XwO0uk0g363\ntbVhw4YN0Ol02LZtG7Zt28YOamJigvcvx8ckW7VaLW6//Xa0t7djZGSEQQ1o+F4QBOzevRvXXXcd\ngLnUk9PphMPhwPT0ND7zmc9wLXHnzp341a9+xcTDFosF3/3ud/GVr3wFN998M1PgKJVKXH755UUN\nVxqNBpWVlfjIRz6CcDgMk8mEhx56CL/5zW+wfft2bpIB5prQ2tvb592PSqWSeRpramrwve99jx27\nSqUqmv+iF7h8Ps/0TdTk9NJLL6FQKDDDBAEVrFQoygSwomwL4daWwzpFL2Wr5dy7urqW3H7awxCS\nJB2TJOkvMdexOQbgH87s0NZOygGFHHi/hX01uMBO1+EB76c6PR4PY35Se3ypfPSjH+XvU72Gan3U\nzECOvLW1lSlo5Cm4fD7PTSMklEprbGxkO4hcVz5MTw0n9KZNc4wmk6kohUvHpFQq0dzcjI6ODkYf\noQYK+h4A7liltFtzczPDxcmJcQHwSEddXR3q6urgdrs54srlcvD7/dzWDQBbtmzha0I8fHQ+vF4v\n9Ho9Lr30UgiCsOCbL829kTOYnJyc5/BKhQDL77jjDphMJjQ3N0Ov1+PEiRO45pprcNNNN6GtrQ0T\nExO8L0Lw6enpwaFDh5DP51FbW4uenh5YLBbkcjlUV1fDZDLBYDDgBz/4ASRJwvHjx9nR9/f3M6LP\n8PAw3G43NyPJJRqN4sYbb4TVamUGDjpu2j/Ju+++i0KhwBFsNpuFJElIp9M4fvw4w/RlMpkl0Zp+\n9atfFYGLR6NRjIyMoFAo4OWXX2YdiwnRcZVD6YUi+3Nl62k5PFEUnaIoflEUxS7MNauMALhhVY7s\nLEo5MAkDc3aOjo6uir1LQaAtJlSro6hoKZG/8RG6CzkpAPMGczOZDCKRCKedNBoN0xrJxeVyMcQV\nOVpybBQBWiwWrFu3Dh0dHZz2o1lFQlghIVuo5miz2XiY2uPxcAqNFtaamhqGesvlcti0aRNqa2ux\nbt06nmWjNC4Ny9fV1cFgMHCDCkUmExMT+NjHPoaWlhZ+caBzUldXhyuvvHJeQ9IXv/hFJBIJuN1u\n7t6lNm5BEIquazweR2VlJXcwlgrVvAhK7YYbbuCo98SJE2hqasKll14Kk8mEgYEBuFyuoprj/fff\nj4GBAahUKrhcLgwNDWHdunWIRCIQRRGNjY3Q6/WYnZ3FW2+9hdraWnz84x+HWq3mkZQjR46gr68P\nSqUSMzMz+P73vw8APFYQCARw8803IxKJoLW1tYg1IRwOFzmexx9/HAqFooiAmOqDXV1dCAaDzG6R\nz+fx6quvoq+vr+iFkl68COoMmBt/icViiEQiGBsbQzgcLhpdonNJ14Hmzi4kSqMzlUwmg9nZ2XO2\nJi/r8ERRFERR/Igoik9gLqL7LID/A6BOkqQ7JUlamJTqPJLVhgY6X0Sn02Hz5s3zEFTOhiwEhL2c\nLAQNthLRarXYsmULrrjiCv5Mp9MV1Q91Oh3a2trYVnqDp9ZnErPZzF2C8nEOSrlaLBY0Njbikksu\nQUNDA48XCIKA1tZWJu0loXSmvHGFut3k3/N4PNwxqFar4XK5eKF0Op1ob29HLpeD2WzmYyb7aD9y\niDiNRoPNmzejsrISHR0dvDhS6jUcDnOTD6VAFQoFd/41NzfDarUimUzyoi9n9PD5fPB4PNw5SXU2\nucMSBAGbN29mZJvNmzdzFy7NxQFz0ebg4CCcTien9uj3mUyG65m1tbWoq6uDyWRCY2Mjd/vu2rUL\nIyMjuOyyy7geeeedd6KyshIHDhzAV7/6VQBzTt7j8SAYDOKpp55Cf38/9u7dCwC4++67cffdd+Nb\n3/oW8vk8XnvtNTz33HP40Y9+BGBuFjUYDDKOJfHxEWfj8ePH8cILL2B0dJTPNdUY5Ys11ZrD4TDP\n3JKjHBoaYkxP+YwtRaZvv/02CoUCY5deyIhQKxWdTgej0bjqpNyLyXJsCd8AMIq50YAsgA9LktQm\nSdK3JEm6cAin/iAfWBbD8lxK5LW605G6ujo4HI6iz0odD1DcHapQKLB9+3Zs3bq16DsEZi2nPSJ4\nL6VSyXRJJFqtFhaLhWcLW1paih5OOUOD/HNKf8ltcLvdPMNY6oipJil34qVRG6HklELLEXwb/YZY\nCnK5HDdhmM1mpFIphkJzOBzMMEEjJ+Tw5OS+ABjujUhugbmF3WKxQBRFKBQKpFIpjlCqq6uLohOb\nzcY1S6PRWMTHd++997L+b33rW3A4HLjqqqug0WjYGV5//fXo7e3Frl27GDh8x44drJ/SjB/+8IcB\nzEVqmUwG//AP/4Avf/nLfD2sViv27NmDffv24eGHH4YkSTCbzfj973+PF198ETfeeCPC4TAOHjyI\np59+Gm+++SZzCRIAg9/v53Og1+sZ9UMOd1coFBCNRtm5Uxp7cnISCoWCiXwBsPOLxWLo6upidgc5\nXunFLs8999w5ww5dLsL7IwD/BqD2QonmFpJzRTa41pJMJnHs2LELPjVCINRyKR3wTyaTmJmZKbJV\nPrQrF0rPUcTpcrl4IaUIgoSaZ+x2O9fd5EIjEPl8voiyiBps5EJzW5TulO+LnFZp16u865RGMgh7\nk66tfAyDhqbz+Ty39xcKBdjtdtZBs4pU26QXEeLqS6VSqKqqwu7du5n8lRpn6Fj8fn/RDGM2m+Xr\nUVNTU3RtVCoVbr/9dnacwWCQyYlLmxXUajUaGxvZ4dF+/vZv/5bvAWq2qaysZBg9irI2bNiAQCCA\nXbt2YdeuXUX8kIIg4JZbbsFvf/tbOJ1O9PT0oL6+Hi+++CIOHjyIpqYmBINBrmHKO2uvuOIK+Hw+\n+Hw+Bsqm+c5oNIqnnnoKo6OjOHjwIPMHEsISwWb5/X5otVom2E0kEjh+/DgymQzTbaXTaQbNXq7D\n8GKQZDJZhH601rIctNhFEc2dq/B5rUWtVqO2tvaitJeYzknUajWamppWZCtFi4TCQJ2VC4lSqSwa\nLC8V4hksFApF9S95ipOksbERNpsNTqeT64Ly7y9E+kndkAA4KqVxCbq28lSkvHuTRhfIZoqKqUvT\narWyYya2AavVilQqhdbWVp45VCqVaGpqwp49e3gxTyQSRedEfgxutxsej4e/p1KpcP311/NYCUGm\nySNpEjqX1CVL9UoalgfebzVvb2/nwWJynNu2beP5yE9/+tN8rWOxGHe82u12fPazn0VTUxOqqqqw\nceNG3HbbbXA6nfB6vUVUVpRCvvXWW7k2l8vloNPpMDU1Ba/Xi66uLoTDYbz44ouYnJxkTFOK0FKp\nFAKBAA/O0xA9gTYkk0kkEgmG4QPez1YQWk2pEAzhhS50ns9VR+qKksaiKAYALBqDSpLkWGzb+SDl\nQKwIzC2iZ5pGPN+FFkQSpVLJ8GLLCZ2TlThHAitebL/UWKLX64siPI1GMy8qpTQiRWSl0Q0xTcil\nNPVJx61SqYquLc3WEYZpMBjEzMwMmpqacPLkSdhsNthsNiSTSY5wiQVDp9NxFOt0OpHL5bBu3TqO\nrurq6qBWqxn/ktK48hQyNeuEQiHU1dXhnnvuYXgvQqkhdB5CWdHpdJwejEajMBqNMJvNSKfTDBKg\nUql4OFyetqV5RIPBUBTJAsC1115bNANJks1mkclk8KUvfQkqlQpf//rXEYvF4Ha7UVVVhUKhAJ/P\nV4SyQqgthCqUy+Vw+PBhBAIB+P1+6HQ6eDwenuMjZ0ndouQkyQY67zMzM/D7/cwLSNBphJNqMBjQ\n3d2NQCCAfD6PHTt2FNkyNTVVBHF2oQplR1ZrTSZs38VkpVq/AOCLsr//B3OD5xMAPv8Bjm9NZDXa\n9M9HyWazmJycLItaAC1mK7G1FFptKdHr9fPSnHIhh2cymYqaoeRdoKVSWVm5oMNTKBTLkgQD4BSY\n/NpSTbWxsREejwfXXnsttmzZgvr6eqhUKqxbtw7r1q2DQqFgx6zT6XDTTTdBq9XC6XTiQx/6ECwW\nC+rq6qDX69He3g5BELBx48aihhxykmQvNVkQt6HT6YRGoyl6e1coFAgGg0UksXLn7na7i6IcAiQg\nGDoik6XzR3UvIqolxwrMpY5LnR2R+lLESWI0GnlcQu7oKCX82GOPYfPmzXA6nZiamgIw16ySTCbh\ndruhUCjwxhtvMLdfNBrF8PAwO98XX3yR+RoLhQL27dvHusbGxqDVajEwMIDR0VGoVCr09fUxWXE4\nHEYmk2HwZXmH6enMAZ7Pks1m2c7VEPlL6EKy0sHzn5T8/ZckSX8H4B4Ad52F41xVKReHR23Z5WDv\n6dh6uiMVS719UkqToiCSpRweAE7vyYUaZJaTyy+/nDkHyV5atOW4ovR2S4C6clomOgabzQadTsew\nZoIg4PrrrwcwF6VqNBpUV1ezI6AuU3LawBxqzLp169iJUwRrsVg4siMnSQTAxG1HjoHwTwlkgBBb\nqqqquGZJPIIUhdLnVquV5yQXE4pOl2q2oqgRmLtHjh49ikKhgPb2dqhUKjzwwANQKBSwWCyMvkIO\n78iRIwCAl19+Ga+88greeOMNTv/SuZuZmcFvf/tbPp7p6Wkm952dnWUCW3p50+l0DDGWzWb5t8B8\nh3ehzhYTie/5SAC7EjkG4JqzcSCrKSuFw7rQRavVoqOjoyzGMM6VrdRQU1qPWglSRum4iMPhWHDe\nrVSqqqpQVVVVZC85vIVE3qmq1+uLQMWBuehQnjqVR3OlaV9yTHK2gurqanR2drLDI0Bfm81WFHV3\ndnZi06ZNaGxs5PEF2kZ1SWoyofTvhg0bYDab0draimw2i2g0yqj65PC0Wi3PIsqFOPgAMJi2/JyX\nLrIECCAIAqqrq/H973+fo/tUKoUtW7bAarUiEolwCjaVSqG+vh59fX1ML6XRaPD2228zMS3J1NQU\nO1wiq1UoFIhGo5yepk5XGksg/kY5HRJQDJlVKBTmIYoUCoULYnCdsgCr1WcwNDS05PYVOTxRFC9Z\n4O9KAN8E4D0Lx7mqcq5aYNdaCoUCp2YudjlXtjocjgWdLLEtLCWlDq+xsXFFDk8QBOYkPF17bTbb\nvBc+jUazoA3U+CKXyspKZn1f6Pu0gCkUCq4b1tfXM8M71QKBuZcFIoXV6XTYuXMnR3UajQYtLS3M\nOEHIN6lUivdDdTOlUsnRrLzbL5/PM+alfD6TxOfzwe/3I5/P83gBMWF0dnbin//5n3HllVcCmEsn\nEnuGz+dDNBrlBhxKTz7zzDNMLdXV1cVA5CSTk5NFPIrJZBKvv/46MpkMXn31VT5OmuXL5/OM9zk5\nOckD/QCKGOT9fv883rdkMon+/n7m6TxfhYheVyvCW44Pb6UR3jHM8eAdk/0dAPB/AfibD3B8ayIX\nwpvP2ZBUKoWjR4+WxRjG+WYrzbgtJaWRlnyebjlRKBRnZG91dfVpAX6XHk9HRweuuOKKBfdR2plq\ntVrhdruxefPmorENigLJYRE5sdPphEKhwA03zIE1UXrXYDAgHo8z7qZWq4VWq+W0MZ3n3bt3o7W1\nlfVTU0wwGIRWqy3qJE2n06ivr2e6pVAoxLRERMlEnHipVArNzc1MP0XzjITKAwD33nsvjzVcfvnl\nnI7M5/P4u7/7O7z88suIRCKoqanB0NAQfvzjH+PIkSM4fvw4gLlaX6FQ4JcAn883jw0+l8thcnKS\nocey2Sy8Xi+efvrpedcpmUxicnKSB+/PVyEC6HP13K7U4TUCaHrvv/RXBcD5HtPBeS0XY5v+QqJW\nq9Ha2loW9l6ItpY6vNORM7W3pqZmxUC9C0HALYXaQ3NpAJhrsKGhgecLS7khqeGHOjdJSqPcmpoa\nXH755di6dSvbSw0t8m5Ys9nMkG30b0EQkE6nObKUc7Bt374dbW1tPHpRVVWFzZs3o6GhAWq1ml+M\nVSoVtm/fzvBudN1MJhPq6+sxPDwMk8mE6upqTE1NwWw244EHHkAwGGT8zmPHjiEYDMJqteKJJ55A\nTU0N+vv7UVFRgUKhwF2bdB4J/Yc6GAmtxe/3I5lMMtbn6Oho0T0wMTEBr9eLUCgEr9eLSCRyXkMp\nUo33XKHKrLRpZXiBv2lJki6Iymk5jSVYLJayQF2/EG39IA5vLexdDNh7qe/L0Wt0Oh3PSm7atGke\nOadOp4NarUZ9ff2SzSQEg9bY2FjEpkFQcPJz4Ha74ff7kcvlYDQaOa2q1+sZ5xOYix7tdjtEUeS6\n2+7du3HZZZcxRyM5ErVaDbfbzVGlw+HAN77xDZ71O3z4MARBQFNTE/r7+wHMOXyfz4e/+qu/gs1m\ng9fr5VGOUCjEUHN0LJdddhl+97vfAXgfmi4ajeLFF19EKBTC5OQk+vv7EYvFONqNRCIcHZOTDwQC\nOHHiBN59912mN6J06fkoROF1rqiQysITlEObPjCX5x8eHj6v3/DOllyIti417rCcrIW9hDiyUmlu\nbuYGGVEUi9KeNTU188Y2iIVCq9Uu6bjJVmpQAeYiTerOlP+WZglpqLu2thadnZ1Yv3491/7i8XjR\nSIVarYbZbGbWDKAYGo7+S3ruvPPOolnIT33qUwxQ8MADDwAAI6oQQIBer0dNTQ13dlJTDjDHZFFf\nX49YLIbp6WkGkn788cdx6NAhhMNhJJNJjI2NIZvNMn9jX18fN7MkEglEo1Eecp+dnWUkGxqTePvt\nt1d8LddKaAbxvAWPvhikHJo4gPc7tcrB3gvR1g9CfLkW9p5uhEcRF7B8FoVsJxqnpURuK+2/tbUV\nTqdz3sC/SqXCrl27EIvFYDabsXXrVphMJqhUKjQ1NcFmsyEcDhelAYmtgZgxaCQgkUggkUjM+y7h\nihKj/HXXXQeTyYR4PI6rrroKmUwGCoUCs7OzqK2tRWNjI3bt2oXdu3czyo7T6eQXnocffhgGgwGx\nWAzPPfccj3NQowp1hVLqNRQKQalUYmJigmtffr8fhw4dQjweZwJb4P0xkr6+PnR3d6/oOq6lEJny\nhTqWcEHIhVTn+SCi0WjQ2tpaFmMY5WQrsDb2ulwubNq0aVX2TQ6voaGBZwAXE7mt5PBcLhdsNhta\nWlrQ1tZW9H2n08ljKjabDR6Phz93Op3YsGFDUeSq1+vR0tICQRDQ1tbGSC8ej4exLel7er2e04lU\nmxQEAW63GyaTidknaKRAFEVce+21uOqqq2A0GmE0GhlHdfv27SgUChgaGoLBYMBnPvMZqNVq6PV6\n2O12hEIh2O12hMNhRm4xGo2Ix+NQKpXMiPGb3/wG4XAY/f396O/vL0KZoflHr9c7r1nvfJnPJae8\nGrLcS2VZOLwLKQr4IEKDtBfqUOrpSDnZCqyNvcQ6vhpCC5FKpVoUp5REbmvpYL7dbl9wsaTvaTSa\nolqp2WzG9u3bcckll/BnFRUVPFdIzAsWiwVbtmyBVqtlp+90OmE0Gpkpgpp0FAoF3G43brjhBh5L\nsFgsCIVCuPrqq+FyudjBqtVq3H333chms6ioqIDVakUikYDBYIDVasVdd92Fa665BsFgEC0tLaip\nqWEg6XA4jGeffRbHjx/HG2+8wZ2vTzzxBEfUpd2OVB8jrkj52kfD8udSCKputZwvMX4sJmXh8Mpl\nLCGdTqO7u7ss7C0nW4EL31754PpyIrdVDhi+lCyGIUsIN4Q9CoCZMgAwdqfNZkNFRQUsFgsfa21t\nLRwOB6O7yNOG8q5RAqQOBoPzoK2USiUMBgMqKipgNpvhcrlgtVrZKRsMBqhUKtx5553YuXMnN+HE\nYjFEo1FMTk7i+PHjGBsbY4xPg8HALwNyxveenh6GMiMWiGAwyOzryw1lr4XQrOIfanirKOWU9tqw\nYUNZ2FtOtgIXvr2l/IZLidxWuaNaSohpfiVCjAvA+4061NRCqDDA+52h+XyexwkAFJH9UjPNpk2b\nEAqFikYs4vE4o9DQyEdjYyP27NnD3ysUCsjlcujs7ER1dTUuv/xyTm9ms1mGIdNoNOzUDQYDkwv/\n+te/Zn0nTpxgiiJyeBMTEzh16lQRw/q5Fnmz0FpLWTi8c9UCu9ZC7c3lMIZRTrYC5WXvmdi6XJpU\nLvLuUfmcHzAfbZ9GKwjzEwADZdPvdTodzwcSGawcuFqpVHI6tKKiAps3b4ZOp0MymYTX6+VUpUaj\ngdvthsPhQCgUQiQS4QF0QngJBAJcOyRAcZJcLsdOmVBhxsfHkUqlGOEkHo+v+DythhCYwGqtyYcO\nHVpy+8X/9AAXVOv6B5F0Oo2BgYELNu11OlJOtgLlZe+Z2HqmCygBXS/WREGRqTxlupDDEwSBSYNn\nZ2eRTqdhMBigVqt5/8Tp2NDQwGnRfD6PdevW4eTJk8hms0in09i2bRs++9nPMrqL3Pk/+OCD8Hg8\nSCQSmJqaQiaTwYEDBzA7O8vD6cBc7VKlUsHn8zEZrVqtZlZ2ABgeHj6jc/ZBhGqzROq71nJu4soS\nEUVRAeD/A/BxAEoAswD+SpKkI+9tvwlzuJ1GADEAX5Ik6YWV7r9cIjwCZS0He8vJVqC87F1rW5cC\nBCCcTaPRyNGe0Whkh2c2m/lzh8PB6ToahKeBcpVKhc7OTszMzKCnpwd6vR4mkwmTk5Oora3l5pNM\nJsMQaoQjms1mmRPQ5XJh/fr1SCQSePzxx9HU1ITXX3+dHYgoiti/fz927NgBlUqFQCAApVKJgYEB\n7vgkOXz4MBoaGjA2NrYgD+NqSD6fh1qtPmcdo+dLhPc5ALcCuEqSpDYAzwD4OQCIolgJ4DEA90uS\n1ALgLwD8UhTFFSftz1W+eK1FrVYzTNLFLuVkK1Be9q61rbfeeuui24xGIy655BIeVgfmOk7lXHx0\nnNXV1TwYn8vlGIlGDsGm1WoZLJrGCSjyU6lU8Hq97IATiQSqqqoQDAaRTqfxH//xH2hpacGGDRsQ\nDoeh1+vZ2T7yyCNIJpPYtm0bR27EJk8pTZVKxY4xn88jEAhgcHAQe/fuXTNsS6qXlrvDOwTg05Ik\nBd/797MA2kRR1AL4IwBdkiTtBwBJkg4CeBfAbSvdeTmNJUQikbJo1S8nW4HysnetbV2KhFeO+0gj\nG/KOzfr6eu7MbGxshFqt5oaUfD4Pu90OhULB+1Cr1UgkEkilUtDr9cxmEYvFOJJTqVQ81N7R0YGq\nqircfffdyGQyMJvNsFgsGB0dxY4dO/Cxj30Mn/zkJ6HRaBiFRalUIpFIYHp6GsFgEPF4HMlkEoIg\noL+/H3v37sXExAQ0Gg03soyNjQEA43WWyqlTpz7oaQYwF8EWCoVzltI8LxyeJElvSZJ0VPbRHQDe\nkiQpBaAdQF/JT/oAbFjp/olLqlAoFM0yZTIZrhOUzjml02mu/eVyOQZwBcDUIrRN/naUTCb57YXo\nR1ZTt5weJRKJoK+vjwvUa6n7bNtN2xbTLbd1Od207WzpPh27z5budDqNvr6+ok47Yv4+F3afie7S\ne2Ex3WQrpd/WUjdtW8julpYWpFIpuFyuIm4/pVKJQqGAe+65B8Bc1CcIAnK5HM8fEpmtWq3mzsz1\n69dj06ZNyOfzGBwcRCqVYnb3QqGAG2+8EfX19bjtttsgCAJCoRDvb2ZmhnE+XS4XNm/eXNSM09XV\nheeeew4/+clP0N3djVgshkgkgqmpKQQCAfz+97+HQqFAJBKBUqnEkSNHEA6H8dxzz+Ho0aPI5XLo\n63t/2R0aGmJ75eccwGmd83g8jmw2i1gstqJzXnofLqd7ORjJNXN4oijeJYqid4G/wZLv3QngiwDu\ne+8jI4DS14HEe5+vSKampgDM3XR08QFgfHwcIyMjAOZOand3Nz8Ew8PD3AEVi8XQ3d3NF2dgYIB5\npwKBAHp7e1lXT08PtwbPzMxgcHBwQd0TExPzdNONspzu2dnZBXWfPHkS9fX10Gq1mJ2dXZHu0vmu\n4eFhTExMLKh7cHBwUd29vb1st1x3oVBAd3c3zwstpXtkZIR1R6PRRXUHg0GcPHmSH/Le3l4uxi+k\nW243pXuW0k1204NaqrvUbrnugYGBBXVPTk7O000P7nK6Z2ZmoNVqUV9fXzRLJdft9XpXpDuTyczT\nTZFBqe6hoSHmFwsGg+jp6VlWN4Ci6z05OcnRQando6OjC+qmcQBi+Q6FQvN0E9PA2dAdj8fR3d3N\nC+fg4CDz6pXqliSJ73Ov18vg0cBclJRIJOB2uxGNRpFIJKDVapFOpzE6OopkMgmVSoX6+nqe2auq\nqsLJkyd5YNrlcjGySjqdxuzsLBKJBDKZDLxeL0wmE9LpNEOPhcNhCIKAa665Bnv27OHfvvXWWxAE\nASaTCTMzMxgfH8cTTzwBv9+P8fFxvp97e3uRz+eRy+Xw05/+lJ+d/fv349lnn+V74dixYwgEAhgY\nGMDMzEyR3d3d3fwiNjU1hZMnTxbda+S8xsbGEAgEYLFYeBud86GhIT7n4XCYeQDpnNP19vl8S+pe\njg9POJ/SfaIofgXA/QA+JknSsfc++1cAFkmS7pV97ycAApIkfWGZ/a0DcPL5559HU1MT57M1Gg0U\nCgWH1xqNBvl8Hul0mrcR5hsVWAmJXBAExrij4rQc5DaZTHJnFjEga7XaVdNNOIAXm27adjZ007aL\nTXcqleK29wtBd+m9cL7qTqfTnIZcSDcdV6luSZLQ19cHURQxMTEBq9WKrVu3Yt++faivr0dzczMz\nnz///PO46667WDcA/PjHP8bdd9+Nrq4ujI+PIxqNcgt/Op1GOp2Gw+FAOp3G0NAQXC7C1Wt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SgUCgSDQR4e93q9mJiYQDKZLGKDX0qWqwOWRYRXLu3N6XQaAwMDZZEKKidbgfKyt5xsBc5ve1ta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\nfGfb1e54j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "raw.plot_psd();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtering\n", "\n", "We filter data between 1 and 30 Hz." ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up band-pass filter from 1 - 30 Hz\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw.filter(1,30, method='iir')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Epoching\n", "\n", "Here we epoch data for -100ms to 800ms after the stimulus. No baseline correction is needed (signal is bandpass filtered) and we reject every epochs were the signal exceed 75 uV. This mainly rejects blinks." ] }, { "cell_type": "code", "execution_count": 127, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "395 events found\n", "Events id: [1 2]\n", "sample drop %: 13.924050632911388\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from mne import Epochs, find_events\n", "\n", "events = find_events(raw)\n", "event_id = {'House': 1, 'Face': 2}\n", "\n", "epochs = Epochs(raw, events=events, event_id=event_id, \n", " tmin=-0.1, tmax=0.8, baseline=None,\n", " reject={'eeg': 100e-6}, preload=True, \n", " verbose=False, picks=[0,1,2,3])\n", "print('sample drop %: ', (1 - len(epochs.events)/len(events)) * 100)\n", "epochs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Epoch average\n", "\n", "Now we can plot the average ERP for both conditions:" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "data": { "image/png": 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hoaEqSlHjRpGesgVryzKEyaeAPEIEMToaGS+Vwq5b63d0PA9VVUayooC4lkJt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0lm3VrsoiJqTjmTWEX/Ca6grZV1/3ct217za9795tcoP+EEklYURjiVVSQKiymyC3uLBQwUdHaQ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\nIVOmC4OE6DmtSaTTGM0+9D27Se/ba3Ow88gUJrQwCJNGAsQd9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xcgA36UuDhS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\nHnvsMaZPn17nfm+++eZ5JTj+L0EIwf0P386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SrKcw6wVkcphSzR/prVHSktHbtEDZc4Cy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\n/QdODrb69Xo6UlL4bO7nTB0xhfJAOTffdwtWm5Xv5y3ltWfe4p8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gtfB+H+gtkBKL584h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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "conditions = OrderedDict()\n", "conditions['House'] = [1]\n", "conditions['Face'] = [2]\n", "\n", "fig, ax = utils.plot_conditions(epochs, conditions=conditions, \n", " ci=97.5, n_boot=1000, title='',\n", " diff_waveform=(1, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "He have a very nice deflection in the temporal channels for face stimuli. This is likely the N170, although delayed in the data by around 100ms due to bluetooth delay and timestamping issues. The positive deflection right before it might be the P100 component." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decoding\n", "\n", "Here is will use 4 different pipelines to classify between the two conditions:\n", "\n", "- **Vect + LR** : Vectorization of the trial + Logistic Regression. This can be considered as the standard decoding pipeline in MEG / EEG.\n", "- **Vect + RegLDA** : Vectorization of the trial + Regularized LDA. This one is very used in P300 BCI. It can outperform the previous one but can become unusable if the number of dimension is too high.\n", "- **ERPCov + TS**: ErpCovariance + Tangent space mapping. One of my favorite Riemannian geometry based pipeline.\n", "- **ERPCov + MDM**: ErpCovariance + MDM. A very simple, yet effective (for low channel count), Riemannian geometry classifier.\n", "\n", "Evaluation is done in cross-validation, with AUC as metric (AUC is probably the best metric for binary and unbalanced classification problem)" ] }, { "cell_type": "code", "execution_count": 129, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Vect + LR\n", "Vect + RegLDA\n", "ERPCov + TS\n", "ERPCov + MDM\n", "XdawnCov + TS\n", "XdawnCov + MDM\n" ] } ], "source": [ "from sklearn.pipeline import make_pipeline\n", "\n", "from mne.decoding import Vectorizer\n", "\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as LDA\n", "\n", "from sklearn.model_selection import cross_val_score, StratifiedShuffleSplit\n", "\n", "from pyriemann.estimation import ERPCovariances, XdawnCovariances\n", "from pyriemann.tangentspace import TangentSpace\n", "from pyriemann.classification import MDM\n", "\n", "from collections import OrderedDict\n", "\n", "clfs = OrderedDict()\n", "\n", "clfs['Vect + LR'] = make_pipeline(Vectorizer(), StandardScaler(), LogisticRegression())\n", "clfs['Vect + RegLDA'] = make_pipeline(Vectorizer(), LDA(shrinkage='auto', solver='eigen'))\n", "clfs['ERPCov + TS'] = make_pipeline(ERPCovariances(estimator='oas'), TangentSpace(), LogisticRegression())\n", "clfs['ERPCov + MDM'] = make_pipeline(ERPCovariances(estimator='oas'), MDM())\n", "clfs['XdawnCov + TS'] = make_pipeline(XdawnCovariances(estimator='oas'), TangentSpace(), LogisticRegression())\n", "clfs['XdawnCov + MDM'] = make_pipeline(XdawnCovariances(estimator='oas'), MDM())\n", "\n", "# format data\n", "epochs.pick_types(eeg=True)\n", "X = epochs.get_data() * 1e6\n", "times = epochs.times\n", "y = epochs.events[:, -1]\n", "\n", "# define cross validation \n", "cv = StratifiedShuffleSplit(n_splits=20, test_size=0.25, \n", " random_state=42)\n", "\n", "# run cross validation for each pipeline\n", "auc = []\n", "methods = []\n", "for m in clfs:\n", " print(m)\n", " try:\n", " res = cross_val_score(clfs[m], X, y==2, scoring='roc_auc', \n", " cv=cv, n_jobs=-1)\n", " auc.extend(res)\n", " methods.extend([m]*len(res))\n", " except:\n", " pass\n", " \n", "results = pd.DataFrame(data=auc, columns=['AUC'])\n", "results['Method'] = methods" ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [ { "data": { "image/png": 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69evTfsUGDBgwoEvbs96rp0w1/hp4tDJVBxwCbC5pj3w8BdhN0uJ5hOv7Vdcu\nC0zPSVcLaa0YQGWriT/kskcjYg5p7dPmpGm4Ke0Flr/9dytwjaTVIa0Py0nXMaSk8AHgPWCvfH5l\nYE/g2tzGc8D9wGnA7RHxct1PpuO2Bq7Oi+nJca2Wy+8poH8zM7NFzkI/4iVpN9Ji8/UqZRHxqqT9\ngEsl3UuaIhxHWhw/k7RgfeNc/UzgSklPAi8ChwKfJ22b8EVS4vU70sgYEfGMpGWAv0VEvRuz7Ab8\nFLhFUgkok0bPNo6I6fk+dgTOkHQsMB84LSImVrUxIcfx3fY6y/uZTa4ztrb8krSv15V58X8f4B3g\nbOCcTrZtZmZmrSiVy+X2a5nVkDQEmH7Ksduz0gqF7FNrZrbQ2mS7E5odghWnU4vwespUo5mZmVmP\n58TLzMzMrCBOvMzMzMwK4sTLzMzMrCBOvMzMzMwK4sTLzMzMrCBOvMzMzMwK4sTLzMzMrCAL/c71\ntnD70haHMXjw4GaHYWZm1iN4xMvMzMysIE68zMzMzArixMvMzMysIE68zMzMzArixMvMzMysIE68\nzMzMzAri7SSsU078/f0sscJTzQ7DzKxLjd5p02aHYL2UR7zMzMzMCuLEy8zMzKwgTrzMzMzMCuLE\ny8zMzKwgTrzMzMzMCuLEy8zMzKwgTrzMzMzMCuLEy8zMzKwgTrzMzMzMCuLEy8zMzKwghbwySNJa\nwIPAdyJiclX5acDGwKYRMa/mms2AiRGxVEEx9gOOBnYH+gD9gIeB4yPi4SJiaCWmzYA7gf+OiP+p\nObc9cCPws4g4Ide9A3gCKAFLA/8EzomIy6uumwwMA1aOiHdq2nwIGBYRpe66JzMzs0VZIYlXRDwp\n6RBgnKQvRMRrkjYB9iX9RT+vnSaKcB2wJLBVRDwnaXHgYOBeSRtGxNQmxfUvYB9JJ0ZEuap833yu\n2jsRMbRyIGkL4FxJQyPihKp6rwC7AuOq6n4eWLGrgzcz64xyucz8OXMK73f27NmF9dXS0kKp5H/v\nLioKe0l2RFwiaSvgbEkHAGOBgyNiBoCkZYGLgI2A54Hrq6+X9CPgxznmOcCREXGLpCnAbyNiQq73\nAnB5RByWjycCE0kjay8BqwLrk0a1RkTE3ZK+CWwCrBERL+V45wJjJD0FzMptbQicAQwE5gETgJOB\nk4ChEbFzVbxXp2bi2NaeRx6h2ici9mnn0c0AlgM2J41oIWlgvp9JC7owIu6QtBPwV0kXRMSz+dT1\nwH5UJV6N7Q5UAAAOAElEQVSkRO4GYGQ78ZiZFeL16cFzU25hzltvFN73dr8trq9BgwYxcuRIhg8f\nXlyn1jRFr/E6GNgQmALcExGXVZ07gjTisgbwdVKiAYCkdYExwDYRIeBM4OJ8+g+kpAlJ6wHTgU3z\ncZ/c1q257t7AUbmN64Gf5/ItgbsqSVe1iJgYEbMkDSAlJr/N128KHAjsTErAviVpqdzv0sC2wPgO\nPKPWXExKlCq+B1wDzG3vwoh4DJhG1fMEbgbWlbROjrcfaYr1so+3YGbWHM/eeVNTkq6izZw5k9Gj\nRzc7DCtIoYlXRLwFXEpaY1T7l/yWwBURMSci3iONiFWuexxYNiKezkV3ACtKWoGUeG2ay7cgjW71\nzec2AJ6vjKoBd0REZXruQdLoF8AKpFG2Bfky0DcixueYXgIuB7bPyc0TwPa57o7AIxERtY1IekDS\nVFJStpOkqflnywX0fTGwvaTl8vEIqp5PHWYBy1cdv0/6/7BvPt4BeAh4oYE2zczMrEGFJl6SvgD8\nB2l065w8vVixImntUcVLVdf1B06W9JikAG7JpxYjJQwrSvoEKXm7E7iXNAq2GR+OdgG8WvV5Lmm6\nEVJisioLtnKuV+1l4BP58yWkdVOQRo9aHe2KiC/ldVjfB66LiKH5p81pw4iYSZpW3EvSRrnswXbi\nrTaYjyeWFwI/yGvZGk3kzMy63eDNv03fpZZpdhjdbtCgQYwaNarZYVhBClvjJWkJ0gjRkRExXtIw\n4CzS9B+kpKg6EVu56vPRpKRq84iYKekzwGMAETFf0qR8fgPgz8DqpFGwoaQpyvbcBhwmaXDVOqhK\n3IcCd5MSl4GSSlWL3AfyYUJzGXCCpFVI03r71NFvIy4EjiXd07h26n4gr6sbRF4fVhERD0v6N7AX\nafp3J+BTXRatmVknLbu6WGbIOk1ZXP+LHb5WWF9eXL9oKSzxAn4NPFqZqgMOAR6VtEfe7mAKsJuk\n35FGor5fde2ywPScdLWQ1ooBLEUahfpDLns0IuZIugs4kpS8TWkvsLwI/VbgmhzP9Lw+7BDgGNJC\n9seB90iJyiWSVgb2JK3zIn8T8n7gNOD2iHi5Iw9pAW4BziWNzA2r54K8gP93wLFtxHMh8Evgqoh4\nX1IXhWpm1jVKpRJ9+vUrvN8BAwYU3qctGgqZapS0G2mx+YGVsoh4lbRg/GxJnyYlAO+QFsf/kbQA\nvOJM4NOSniRNuV0E3ANMlrQ8KfH6CjA5t/0MsAzwt4io9zvBu5HWh92SpzMfI40EbRwR03M7OwIH\nSno8x3FaREysamMCsAd1LKqPiMl1fKOxuv5c0nTmXyKirbVYS1StGXse+AXwk4g4vY36l5KS2rH1\nxmFmZmYdVyqXy+3XMqshaQgwffOjTmaJFVZqdjhmZl1q9E6btl/JFlWdmhf2K4PMzMzMCuLEy8zM\nzKwgTrzMzMzMCuLEy8zMzKwgTrzMzMzMCuLEy8zMzKwgTrzMzMzMCuLEy8zMzKwgRb4yyHqh47b+\nMoMHD252GGZmZj2CR7zMzMzMCuLEy8zMzKwgnmq0juoD8MILbb2v28zMrPfZcssthwDPRsTcjlzv\nxMs66pMAe+21V7PjMDMzK9J0YHVgRkcuduJlHfVn4OvA88C8JsdiZmZWpGc7emGpXC53ZSBmZmZm\n1gYvrjczMzMriBMvMzMzs4I48TIzMzMriBMvMzMzs4I48TIzMzMriBMvMzMzs4I48TIzMzMriDdQ\ntQWStBHwG2AlYA5wSkSMX0D9jYF7gf0iYmwhQfZw9TxjSfsAZwNPVxVPi4hti4qzJ6v391jS+sC5\nwCDgXeDoiLihyFh7sjp/l0cBB9RcuipwYERcXEigPVgDv8sHAiNJAyxvAMdGxO1FxtpTNfCMDwAO\nA5YAniH9vfdEe+17xMvaJKk/cB1wRkSsBWwP/FrS59qo3wJcADxXXJQ9W4PP+IGIGFr146SrDvU+\nY0lLAjcDoyNiDeBA4FBJ/gdqHep9zhExuvr3GNgJeBG4vvCge5gGfpeHA78AtomIdYFjgOslrVh0\nzD1NA894C+CXwPYRMQS4DLimnj6ceNmCbAkQEZfn/z4J3ATs2Ub9E4GJwLRCousdGn3G1rh6n/EO\nwEsRcWWud3dEbNHRF+Eugjr6u/xb4KcR8Wb3htcr1PuMvwBMjYinc71JQH/S+wVtwep9xtsCN0XE\nU/n4XGBwWwMT1Zx42YIMBf5ZU/YE8NnaipK+AmwNHF9AXL1J3c8Y+LSkWySFpNslfan7w+sV6n3G\nXwSmS/qdpCck3S1pk0Ii7B0a+V0GQNIOwBIRcUV3BtaL1PuM7wDWqSQBknYEXgAe7fYIe756n3EZ\n6FM5iIj5wNvAOu114MTLFmRJYHZN2exc/gFJA4DzSfPb7xUUW29R1zMGngRuAPYB1iWNLN4safnu\nDrAXqPcZLw9sQZouV/7vjZJW6vYIe4d6n3O1/wb+p9si6n3qesZ5ndFxwF8lvQRcDBwQEe8WEmXP\nVu/v8URgu7wuFEn7AgOBlvY6cOJlC/IWMKCmbMlcXu1E4IaIeKCQqHqXup5xRNwTEaMi4sWImB8R\nZwBzga8WFGdPVu/v8WvAnyPivogoR8Q44B3gKwXE2BvU+5wBkPR5YA3SX2BWn7qesaRtgZ8C60TE\nQNKfExdLGlZIlD1bvX8mTwFGAeMlPUr6gshjwKvtdeDEyxbkMT4+bLou8Peasu8Ce0uaIWkGsDFw\nmqTTuz3Cnq+uZyxpVUkr19Qrkb5xYwtW7+/xk8ByNWVlUoJr7av3OVfsAtzsNXQNqfcZbwvcHhHT\nACLiEeBh0oiuLVjdv8cRcX5EfD4i1gNOBdYE/tpeB068bEHuBOZKGgEg6QvAN4FLqitFxJCIWDX/\ndwjwJ+CIiDi86IB7oLqeMfBjYEKe1iXXnw/cV2CsPVW9z/gK0rqYb+V6O5L+5etnXJ96n3PFV0l/\nyVn96n3GjwKbVqbJJa0KrA/8rcBYe6q6nrGk4ZL+JmmFXHQscEdEPN9eB6VyudzFMVtvkuevzybN\nXb8LnBAR10g6BXg7Ik5s5ZrJwFjv41Wfep5x3qpjDOkbN3NJC2VHRcRfmhV3T1Lv77GkrYAzSOs0\nXiE947ubFHaP08ifF5KCtD/S2KYE20PV+efFYqQlILuQ/oFWBs6NiDHNirsnqfMZl0hbduxJer5/\nJq2je6W99p14mZmZmRXEU41mZmZmBXHiZWZmZlYQJ15mZmZmBXHiZWZmZlYQJ15mZmZmBXHiZWZm\nZlaQxZsdgJmZNU7SEqS9g06MiMua0H8f4G7gyvwKKzOrg/fxMjPrgSSdDywTEbvXlB8MnAkcHxE/\nrzk3FlguIr7TSnszgDMqSVTeIHJf4ADgM6SNOP8JXAicExFlSWuQXpGyaUR4V3SzOniq0cysh5E0\nFNgHOL6V0wcAlwP75h3MO+q3wH8DPwNWBD4FnAycAJwLkN8FeBnw89abMLNanmo0M2uHpDKwN3AI\n6Z13DwF7kBKR75BeL3RgRPw+118F+DXwNWAJYDJwcEQ8nc+vD4zObZWBKcBBEfFCVX+7Aj8ivXT+\nReCQiLglh3QwcFdETK2Jc2P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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=[8,4])\n", "sns.barplot(data=results, x='AUC', y='Method')\n", "plt.xlim(0.4, 0.9)\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best classifiers are the ERPCov and XdawnCov with tangent space projections. AUC is around .77, which is pretty good!" ] } ], "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }