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@kingjr
Created July 24, 2017 21:29
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poeppel training 3: fitting our first decoding analysis
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Our first MEG decoding analysis\n",
"\n",
"Decoding consist in trying to predict an experimental variable (e.g. is the stimulus a house or a face) from neuronal data.\n",
"\n",
"In this example we will try to predict whether the stimulus is a left or a right auditory stimulus from the MEG data of a single subject\n",
"\n",
"(By the way, this cell isn't *Python* code. It's called 'Markdown', which allows you to have text, equations etc, in our notebook).\n",
"\n",
"## Let's first load the data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Opening raw data file /home/jrking/mne_data/MNE-sample-data/MEG/sample/sample_audvis_filt-0-40_raw.fif...\n",
" Read a total of 4 projection items:\n",
" PCA-v1 (1 x 102) idle\n",
" PCA-v2 (1 x 102) idle\n",
" PCA-v3 (1 x 102) idle\n",
" Average EEG reference (1 x 60) idle\n",
" Range : 6450 ... 48149 = 42.956 ... 320.665 secs\n",
"Ready.\n",
"Current compensation grade : 0\n",
"319 events found\n",
"Events id: [ 1 2 3 4 5 32]\n",
"145 matching events found\n",
"Created an SSP operator (subspace dimension = 4)\n",
"4 projection items activated\n"
]
}
],
"source": [
"# to plot the figures inside the notebook\n",
"%matplotlib inline\n",
"\n",
"# Import libraries on top of script\n",
"import mne\n",
"from mne.datasets import sample\n",
"\n",
"# Define data path (and download if necessary)\n",
"data_path = mne.datasets.sample.data_path()\n",
"raw_fname = data_path + '/MEG/sample/sample_audvis_filt-0-40_raw.fif'\n",
"\n",
"# Read raw data (continuous MEG recordings)\n",
"raw = mne.io.Raw(raw_fname)\n",
"\n",
"# find events: when the stimulus triggers are above 0\n",
"events = mne.find_events(raw)\n",
"\n",
"# Define which events are relevant:\n",
"event_id = dict(audio_left=1, audio_right=2)\n",
"\n",
"# Segment continuous data into epochs\n",
"epochs = mne.Epochs(raw, events, event_id=event_id)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot the single trial for channel 1811"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Left\n",
"Loading data for 72 events and 106 original time points ...\n",
"0 bad epochs dropped\n"
]
},
{
"data": {
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dygF4G4AP2E2/BeBXYLzivwLg12HyS6+67NmF6WqJ6jaRPWdKbruCfAWKycxo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UJdRQlLGD9EfjJYUF/Jhy89nQ9fejoQJKgOpTMT8j15ihRVMkOD4+9XAPi72OMpAkpdyL5nBqNe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\neDweT17x/wHKSTRLHCMIKQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c1c135410>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Right\n",
"Loading data for 73 events and 106 original time points ...\n",
"0 bad epochs dropped\n"
]
},
{
"data": {
"image/png": 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PqdY6/4ISe5anrVbKJK6FcULi5Sj3a9VqsyHtm9un2ntyz626r7NSZqHxheML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gZ+fGpFcg9EhJmVYcysDOPqpfWZv5ADrlo8Dec2VeJrT2zFPS/uxg9f2o33LazDcDyB13Z3IJFk\n3HrZXPzZhZOXeuhUuen8RrR2D+HfXtqNJDPu+uDSnHRO2w734MHX9+NI9xCCAS+KA15csWgaLl9Y\nWxCd45aWbjy2sQW/29GG3cf6U8vLw34smV6GL1w6B+c0VuD82VUTHiQRqZf+8nA5ls8sx/+4eDYG\nowm88E4bfr25Fa/t7sCvNh5ObR8OeDGzIoxzGsuxsrES5zVXYmZleNR+X93Vjn98aju2Hu7BqsYK\n/OSGc7F4euYBIxGhJOgfs+PKBcyMZCJPCi5lIJONaTqATxPRT3DClN5U2JiYOU5EtwJ4Bspd/H7t\nP29xMRXFAXzvxhX40hUL8NAbB/CLDYcQDnhxyyWzce3Setc4HBAR/nbNAvg8hB+8sAvD8ST+/oYl\n4zqjnCoD0Tie3XoUD71+AG/s60TQ78GcmgiGYgl09kfx8/WHMK82gs+9dw6uXVo/KRp971AM+9oH\ncKBzAIe7BjEUSyCWMDZOIoBAYKj/A14viou8KC7yYUZFCE1VxagvC07IoSWZZLz87jHc+/IevLa7\nAwGvB+fNrsQnzmvEykaltU+2LS8U8OKapfW4Zmk9mBktXYN4+1A3DncN4nDXEPa09+HJt1vxszeU\nmXpOTTEumV+DspAfx/ujeOdoL9bu6URDeQjf+5PluGH59LwLISgUjYnGigQmor+EyiQ7G0o7kXeI\nmdm1NibJqlWreP369VMtRt7zIr2Yal/Kl06ZHLmAmfH9376L7z3/LmpKivC/rlyAP14546TsFsPx\nBNbvO646gHgSw7EEhmIJDMWSOHR8AM9uO4qBaAIzK0O4aXUTPrpqZupFHU8k8evNrbjnxd3YcaQX\n4YAXVyyqwwVzqpBIAtF4Ap0DMRzpHsTRnmH4vR6Uh/0oD/lRW1qEutIgigM+dA4oB59dbX3YdLBr\nhLYi8enzYn3uzss4keYlF/B5sKi+FGfPKMPihjLMrY1gbm0EAa8HPYMxHO0ZxtNbWvHYxsNo6RpE\nXWkRPn1hMz523iyUTqE24ZBMMna29eLVXR14aecxrN3TgWg8idKgD9UlRfjYe2bhU+c3Tvr0NhFt\nGC8/3WRQVDOH62/4x4zb7f/RjVmX5XQZs2NKbUB0DzP/zxzJM+nYjmlyOJM6Joc3DxzH3z+5DW8d\n6MKsyjCuWFSHyxfW4pzGirQvrmO9w3hhRxue334Ur+xqx0B0dLkwx4vyqsV1+ODyBrxnnOBkZsba\nPZ144m2VOqlrwDitEAE1EdUJxZOM7oEoOgeiKe9SSXWkCMtnlmHZjHLMr4tgVmUxZlSGEPZ74fXQ\nmFpBPJHEQCyB3qE4DnUOYH/HAN5t68Xbh5QNM935AcrGePG8anxoRQOuXlJ/ynFtuSAaT4II43qN\nTgY56ZiqZ/O06/8h43YH/uMT+d8x5Tu2Y5oczsSOCVCdw5Nvt+IXGw7hD7s7EE0k4fUQZlcXY/60\nEvg8hGhceTxuOtQFZmB6WRCXLazF+xbWYn5dCYr8HgT9XgR9Xvi9Y3cE4xFLJNHaNZQKWygJ+ka9\nTB0D/NGeYfQPx1FZrOL0JtuxB1Da1IHOAexq68Outj4kmVEaUlrb6tlV4zounInkomMKVDfztA98\nPeN2Bx+4yfUdU96lJLJYcgkRpWK1+ofjeG13BzYf6sK21h5sbekGQ4UYlIX8+OLl83HFojqcVV8y\n6bYJv9eDWVWjjfUnyporA7zXQ2iuLkZzdTGuWFSX9eNZJgAzkrHcxExlG9sxWSwTpFi7M9sXscWV\nMIOT6adX8w3bMVkmRP1n3eF+brFYxsZ2TKcBEX0bwHUAolBp0P+MmbuIqAnAdgDv6E3XMvPn9XdW\nAvgxgBCApwDcxoVuIHMRC+5dMNUiWCyWcWAUjsY0Ve4yzwFYwszLAOwEcIdYt5uZl+vP58XyewB8\nFqoA1TyoJLMWi8ViAXRKokTGTz4wJR0TMz/LzE420rUYWXp3FERUD6CUmddqLeknAD6YZTEtFosl\nj2Akk4mMn3zADQEGn8bIiobNRLSRiF4ioov1sgaoTOIOh/Qyi8VisUCnJIpHM35OByJaTkRr9Tt6\nPRGdK9bdQUS7iOgdIrpKLF9JRJv1urtpAi6rWbMxEdHzANIV1rmTmR/T29wJIA7gQb2uFcAsZu7Q\nNqVfEdHiUzh2quzFrFmzTkV8ywm8c8s7qba1N1ksLoQZnMi6RvQtAF9j5qeJ6Br9/6VEtAgqd+li\nANMBPE9E83V5dccM8zqUf8AaZCivnrWOiZnfP956IvpTAB8AcLnjxMDMwwCGdXsDEe0GMB8qJZKc\n7hs3q7gse7Fq1SrrIDEJtP57a6ptOyaLxZ3kwIbEAJzaNGUAnEy5NwB4WL/D9xLRLgDnEtE+aDMM\nAOi8qx/EVHVM40FEawD8DYD3MvOAWF4DoJOZE0Q0G8rJYQ8zdxJRDxGthup1bwLwL1Mhu8VisbiS\niccxVRORTIdzrx7MT4QvAniGiL4DZQq6QC9vgPIXcHDMLTGcghlmquKYfgCgCMBzerrRcQu/BMDX\niSgGIAng8yKL+Rdg3MWfRoYe12KxWM4sJtwxtY+Xkmg8MwyAywH8FTM/QkQfBfAjAOPOjp0KU9Ix\nMfPcMZY/AuCRMdatB7Akm3JZLBZLvqJKq59+PabxzDB6Ku42/e9/A7hPt8cq4npSZhgHN3jlWSwW\ni+V0yYFXHpRN6b26/T4A7+r24wBuJKIiXch1HoA3mLkVQA8RrdbeeDcBeCzTQWxKIovFYikEmHMR\np/RZAN8nIh+AIWjvZ2beSkQ/B7ANytP6z7VHHnAKZhjbMVksFksBwEDW3cWZ+RUAK8dYdxeAu9Is\nP2kzjO2YLBaLpRCw2cUtFovF4i5sx2SxWCwWN6GdHwqBgi+tTkS9MGU03Eo1gPapFmIC5IOcVsbJ\nIx/kzAcZAWABM5dk8wBE9Buo65GJdmZ2dXWGM6FjWu/2+vb5ICOQH3JaGSePfJAzH2QE8kdOt2Dj\nmCwWi8XiKmzHZLFYLBZXcSZ0TBNNTjiV5IOMQH7IaWWcPPJBznyQEcgfOV1BwduYLBaLxZJfnAka\nk8VisVjyiILpmIjo20S0g4jeJqJHiahcrJu0kr+nKeNHiGgrESWJaNUJ61wh4xhyr9Fy7SKi23N9\n/BNkuZ+I2ohoi1hWSUTPEdG7+m+FWJf2umZZxplE9AIRbdP3+za3yUlEQSJ6g4g2aRm/5jYZxXG9\nRPQWET3pYhn36d/pRqfWkRvlzBuYuSA+AK4E4NPtbwL4pm4vArAJqv5TM4DdALx63RsAVgMgqMSC\nV2dZxrMALADwIoBVYrlrZEwjs1fLMxtAQMu5aArv8yUAzgGwRSz7FoDbdfv2idz7LMtYD+Ac3S4B\nsFPL4ho59fMU0W0/VAHO1W6SUcj6JQAPAXjSjfdbH3sfgOoTlrlOznz5FIzGxMzPMnNc/7sWpgZI\nquQvM+8F4JT8rYcu+cvqaXFK/mZTxu3MnC7Y1zUypuFcALuYeQ8zRwE8rOWdEpj5ZQCdJyy+AcAD\nuv0AzDVKe11zIGMrM7+p270AtkNV7XSNnKzo0//69YfdJCMAENEMANfC1P1xZHGNjOOQL3K6joLp\nmE7g0zCp1RsAHBTrnNK+DTiFkr9Zws0yjiWbm6hjVfcFAI4AqNPtKZediJoArIDSSFwlp54i2wig\nDcBzzOw6GQF8D8DfQFW0dnCbjIDq1J8nog1EdIte5kY584K8ypU3XslfZn5Mb3MnVD2QB3Mpm8NE\nZLRkD2ZmInKFqykRRaAqMn+RmXukedANcrKql7Nc22MfJaIlJ6yfUhmJ6AMA2ph5AxFdmm6bqZZR\ncBEztxBRLYDniGiHXOkiOfOCvOqYeJySvwBARH8K4AMALtdTX8Akl/w9XRnHIKcyniRjyeYmjhJR\nPTO36unPNr18ymQnIj9Up/QgM//SrXICADN3EdELANa4TMYLAVxPRNcACAIoJaKfukxGAAAzt+i/\nbUT0KNTUnOvkzBcKZiqPiNZAqfzXM/OAWDWpJX+zhJtlXAdgHhE1E1EAwI1aXjfxOICbdftmmGuU\n9rpmWxh9r34EYDszf9eNchJRjdaUQEQhAFcA2OEmGZn5DmaewcxNUM/d75j5k26SEQCIqJiISpw2\nlCPWFrfJmVdMtffFZH2gDIgHAWzUn38T6+6E8nx5B8KrDcAqqAdoN4AfQAccZ1HGD0HNJw8DOArg\nGbfJOIbc10B5lu2GmpKcyvv8MwCtAGL6Wn4GQBWA3wJ4F8DzACozXdcsy3gRlM3hbfE8XuMmOQEs\nA/CWlnELgP+jl7tGxhPkvRTGK89VMkJ5rG7Sn63Ob8RtcubTx2Z+sFgsFourKJipPIvFYrEUBrZj\nslgsFoursB2TxWKxWFyF7ZgsFovF4ipsx2SxWCwWV2E7JovFYrG4irzK/GCxSIjIiRMBVBqoBIBj\n+v8BZr4gC8dcAeBWZv7Mae7nVigZ758cySyWwsHGMVkKAiL6KoA+Zv5Olo/z3wD+gZk3neZ+wgBe\nZeYVkyOZxVI42Kk8S0FCRH3676VE9BIRPUZEe4joG0T0CV0kbzMRzdHb1RDRI0S0Tn8uTLPPEgDL\nnE6JiL5KRA8Q0e+JaD8R/RERfUvv9zc6Xx70MbeRKmL5HQBglTZrHxHZcgcWywnYjslyJnA2gM9D\nFWr8FID5zHwuVI2fv9DbfB/APzPzewD8MUbW/3Fw0kNJ5gB4H4DrAfwUwAvMvBTAIIBr9XTjhwAs\nZuZlAP5BfHc9gItP//QslsLC2pgsZwLrWNfFIaLdAJ7VyzcDuEy33w9gkShNUUpEETbF9ABVmfYY\nRvI0M8eIaDNUtd/fiH03AXgSwBCAH5EqDf6k+G4bgIWneW4WS8FhOybLmcCwaCfF/0mY34AHwGpm\nHhpnP4NQ5RdG7ZuZk0QUY2O0TQLwMXNcT9ddDuDDAG6F0rCg9zV4CudjsRQ0dirPYlE8CzOtByJa\nnmab7QDmnsxOdbHAMmZ+CsBfQU0rOszH6KlBi+WMx3ZMFoviLwGs0g4K26BsUiNg5h0AypzaOxOk\nBMCTRPQ2gFcAfEmsuxDAc6chs8VSkFh3cYvlJCCivwLQy8zpnCNOZj8rAHyJmT81OZJZLIWD1Zgs\nlpPjHoy0WZ0q1QD+bhL2Y7EUHFZjslgsFoursBqTxWKxWFyF7ZgsFovF4ipsx2SxWCwWV2E7JovF\nYrG4CtsxWSwWi8VV/H+UXMvEYV4Y7AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0e0ed6d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"selected_channel = 200\n",
"assert epochs.ch_names[selected_channel] == 'MEG 1811'\n",
"\n",
"print('Left')\n",
"epochs['audio_left'].plot_image(picks=selected_channel)\n",
"\n",
"print('Right')\n",
"epochs['audio_right'].plot_image(picks=selected_channel);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot the average evoked response for each experimental condition"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hCAlDc3sNXWJzsOXQCZ77YBpdmtQiNilA9W6DWLZpC9jsfL1+M7OXfG8YiOaz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wLJ9Aze+PBTUu9keiSE8fJB+Pih+ASg+AQg7D5s3HOYK1evI5AoQOXKEUXAjQq0j2f+lOk60qRR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\nNbbv35kQopDeZN5fpck30XXbdNLhjGfLwmm07TWYSJuFif26U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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0de130d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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eJeaOy6vovmAedzauzc7du1m6YhVHjqQz5NV3yTh6FAmH6PnkU4x6ZTSEgqzb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\nTggKFS1C4v07RqA28BqaG9tfD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JDnI9sRrxPQ5T95vX8ZGEsppcPlHjF46vygHe6I37rS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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0dfa8ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np # library for matrices\n",
"times = np.linspace(0, .500, 9)\n",
"\n",
"# Loop across stimulus side to plot the corresponding topographies\n",
"for side in ('left', 'right'):\n",
" # Average the trials corresponding to a particular side\n",
" evo = epochs['audio_' + side].average()\n",
" evo.plot_topomap(times=times, title=side);"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading data for 145 events and 106 original time points ...\n",
"0 bad epochs dropped\n",
"('data shape:', (145, 376, 106))\n",
"46\n",
"('data shape:', (145,))\n"
]
}
],
"source": [
"# retrieve data as a matrix\n",
"meg_data = epochs.get_data()\n",
"print('data shape:', meg_data.shape)\n",
"\n",
"# np.where finds values in array, and returns a vector\n",
"selected_time = np.where(epochs.times>=.100)[0][0]\n",
"print(selected_time)\n",
"\n",
"# subselect channel MEG 1811 at time 100 ms\n",
"meg_data = meg_data[:, selected_channel, selected_time]\n",
"print('data shape:', meg_data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Retrieve the experimental conditions\n",
"categories = epochs.events[:, 2]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Individual trial values of channel 'MEG 1811' at 100ms\n",
"\n",
"Let's plot the individual trials for a single channel at a single time point"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7c0792ff10>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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o/KKM0m4syJoQjExGlZXAj36ULtaqhMpkJJqyG612xxwDnHce8J3vAL/+teop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\nDCPg/wPje50CP4RZ+QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c4d395150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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n9zh++oLRmdpVtjXLQ8P3CCJiSkQMi4hm4AzgV52TgJmZNY7vIzAzK7lCn1AWEfOB+UXG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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0796dcd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(meg_data[categories==1], label='left', color='r')\n",
"plt.plot(meg_data[categories==2], label='right', color='b')\n",
"plt.xlabel('trials')\n",
"plt.ylabel('Amplitude of MEG 1811 @ 100ms')\n",
"plt.legend()\n",
"\n",
"# plot histogram to have a sense of the difference between the two conditions\n",
"plt.figure()\n",
"bins = np.linspace(-1e-12, 1e-12, 30)\n",
"plt.hist(meg_data[categories==1], bins, edgecolor='r', facecolor=[1., 0, 0, .5], linewidth=2)\n",
"plt.hist(meg_data[categories==2], bins, edgecolor='b', facecolor=[0, 0, 1., .5], linewidth=2)\n",
"plt.legend(('left', 'right'))\n",
"plt.xlabel('Amplitude of MEG 1811 @ 100ms')\n",
"plt.ylabel('P(Trial)')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Mmmmh, it doesn't look great. What is the p_value of that"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t value: 0.71\n",
"p value: 0.477315\n"
]
}
],
"source": [
"from scipy.stats import ttest_ind # independent sample t-test\n",
"t_value, p_value = ttest_ind(meg_data[categories==1], meg_data[categories==2])\n",
"print('t value: %.2f' % t_value)\n",
"print('p value: %.6f' % p_value)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's loop across all channels recorded at 100 ms.\n",
"\n",
"This is known as mass univariate analyses"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading data for 145 events and 106 original time points ...\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7c0e02af10>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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X04f1ffU9D6esHcW21cMYLgc6QYVasFCGFec4hlioimc48rAjPc9GGBvrajFQ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\nxQKHMcaYpPx/Vwch6QeFmrIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c4d395410>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Retrieve data from epochs object\n",
"data = epochs.get_data()\n",
"\n",
"# Select data at t=100 ms\n",
"selected_time = np.where(epochs.times>=.100)[0][0]\n",
"\n",
"data = data[:, :, selected_time] # shape: n_trials x n_channels\n",
"\n",
"n_channels = 306\n",
"p_values = np.zeros(n_channels)\n",
"for channel in range(n_channels):\n",
" t_value, p_value = ttest_ind(data[categories==1, channel],\n",
" data[categories==2, channel])\n",
" p_values[channel] = p_value\n",
"\n",
"plt.plot(np.log10(p_values), label='p value')\n",
"plt.axhline(-2, color='k', label='chance: p < 0.01')\n",
"plt.legend()\n",
"plt.xlabel('Channels')\n",
"plt.ylabel('Log10(p)')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Our first multivariate analyses: using 2 channel dimensions"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading data for 145 events and 106 original time points ...\n",
"(145, 376, 106)\n",
"(145, 2)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7c07c217d0>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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e9X3OxCWRq8rVPYElpeHo8BQdhVDwbFraFB7bA88DLwD7mtmf51ckMLMJwP8D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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c07d9d4d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Retrieve data from epochs object\n",
"data = epochs.get_data()\n",
"print(data.shape)\n",
"\n",
"# Select data at t=100 ms\n",
"selected_time = np.where(epochs.times>=.100)[0][0]\n",
"\n",
"# Select two MEG channels\n",
"chan_1 = 200\n",
"chan_2 = 201\n",
"data = data[:, [chan_1, chan_2], selected_time]\n",
"print(data.shape)\n",
"\n",
"for cat in (1, 2):\n",
" plt.scatter(data[categories==cat, 0] * 1e12,\n",
" data[categories==cat, 1] * 1e12)\n",
"plt.xlabel('Channel %s' % epochs.ch_names[chan_1])\n",
"plt.ylabel('Channel %s' % epochs.ch_names[chan_2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data doesn't seem discriminable: two channels are probably insufficient to predict whether the trial is audio_left or audio_right\n",
"\n",
"## Logistic regression across all channels at time=100ms"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"145 matching events found\n",
"Created an SSP operator (subspace dimension = 4)\n",
"4 projection items activated\n",
"Loading data for 145 events and 106 original time points ...\n",
"0 bad epochs dropped\n",
"145 trials by 102 channels by 1 times\n",
"145 trials by 102 channels\n",
"('score:', 0.86206896551724133)\n"
]
}
],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"\n",
"# Load data\n",
"epochs = mne.Epochs(raw, events, event_id=event_id, preload=True)\n",
"\n",
"# select magnetometers and time = 100 ms\n",
"epochs.pick_types(meg='mag', eeg=False).crop(.100, .101)\n",
"\n",
"# Load data\n",
"data = epochs.get_data()\n",
"print('%i trials by %i channels by %i times' % data.shape)\n",
"\n",
"data = np.squeeze(data)\n",
"print('%i trials by %i channels' % data.shape)\n",
"\n",
"# Normalize data\n",
"data -= data.mean(axis=0)\n",
"data /= data.std(axis=0)\n",
"\n",
"# Fit linear regression\n",
"model = LogisticRegression()\n",
"model.fit(data, categories)\n",
"\n",
"# Evaluate model\n",
"score = model.score(data, categories)\n",
"print('score:', score)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Intepreting model coefficient\n",
"\n",
"Filters ($w \\in R^{channels}$) corresponds to the linear coefficient of the models fitted on the meg data ($X \\in R^{trials\\times channels}$) and the experimental variables ($y \\in R^{trials}$). In the case of a linear regression, filters corresponds to inverse of the data covariance times the product of the meg data and the experimental conditions:\n",
"$$w = (X^T X)^{-1} Xy$$\n",
"\n",
"Only patterns ($a$ are interpretable. In the presen case, they are computed as the product of the meg data covariance by the model coefficients:\n",
"$$a=X^T X w$$"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CiGCVzu1zhUIxpOvISepHevZR9urWlRAfT4waBTqVoLSkhL179jB6wuPIewlg\naoVArYBXn38Od4MOf093ikuKGTFiJK279OLZF16iUugce75ZKZ0O125c9gVSypx60VTfG/eEEG00\nWt0/QPYfMHCws1mTSKNwOZk1ew6BoeFYnBKbs2aSrVSAVgGrP19OVGRDhvfrjsJWTXV5Ie8sX8uB\nUxesqbczJUKx32qxvCWlvFKvWv6sLaNCiCAhxCQvT48nTFXmJiEhIZbeffspmkW3Mvo1CMLPxwuF\ndPLNl+t4pGMsWqXg2tWrpjMXfrOmpGe4G930KaUVpm+llBullLl/ioY/e78t1OxPo+awwRhqDioM\npiY0rqHmnLxyIIea09AuA+ellOV/Tm3/H38J8/5b+cudMfDfxEPzasFD82rBQ/NqwUPzasFD82rB\nQ/NqwUPzasFD82rB/wHEHtI7h4gaMwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0de74a90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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pVDrt5EUU7v/ZQ9RZYnnu9bd4ZuYLuGPjMEyJBAyzaXgSCATZvn0bn82f69+z\nbbMFoazVwqFXpJRHL6uXK5UyKoRoJWByjN16n183OifGeLRbx4yQGZ2y3dv2HubeBx8kMSmFcCSC\nz1tLaVkpx48da9y/Z1e4ID/f43K7c+vraheZprlUSll2RTxc6XxbaMpPo+llg71oelFhGk1T4zaa\n3pNXB5TS9Da0w8AeKWXdlant/9V/BLz/Vv3HvWPgv0lX4TVDV+E1Q1fhNUNX4TVDV+E1Q1fhNUNX\n4TVDV+E1Q/8Ho9lkbgIgU3UAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0d84d150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# filters are not easily intepretable\n",
"filters = model.coef_.T\n",
"evoked = mne.EvokedArray(filters, epochs.info)\n",
"evoked.plot_topomap(times=0, colorbar=False);\n",
"\n",
"# patterns are easier to interpret.\n",
"# BUT CAREFUL, THE CORRESPONDING MODEL MAY NOT BE PREDICTIVE\n",
"patterns = np.cov(data.T).dot(filters)\n",
"evoked = mne.EvokedArray(patterns, epochs.info)\n",
"evoked.plot_topomap(times=0, colorbar=False);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Decoding with a sliding window\n",
"\n",
"Here we'll fit a logistic regression at each time point independently to see how good we are at predicting the categories from the meg data"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"145 matching events found\n",
"Created an SSP operator (subspace dimension = 4)\n",
"4 projection items activated\n",
"Loading data for 145 events and 106 original time points ...\n",
"0 bad epochs dropped\n",
"('shape of data:', (145, 102, 106))\n"
]
}
],
"source": [
"# Let's fit a different model at each time sample\n",
"# and assess the extent to which they can discriminate\n",
"# the two categories\n",
"\n",
"# Load data\n",
"epochs = mne.Epochs(raw, events, event_id=event_id, preload=True)\n",
"\n",
"# select magnetometers and time = 100 ms\n",
"epochs.pick_types(meg='mag', eeg=False)\n",
"\n",
"# Retrieve data as a matrix\n",
"data = epochs.get_data()\n",
"print('shape of data:', data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f7c0e1f07d0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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WXzI8+6wNSMp0oUqR7kZmx6BBdkJ0xoR46Y6aLiefbMfz9Ok1a8fo2NGqdt3T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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c07b1c890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Normalize data\n",
"data -= data.mean(axis=0)\n",
"data /= data.std(axis=0)\n",
"\n",
"# Fit 106 models, one for each time point\n",
"n_times = 106\n",
"scores = np.zeros(n_times)\n",
"for t in range(n_times):\n",
" # Fit model at time t\n",
" model = LogisticRegression()\n",
" model.fit(data[:, :, t], categories)\n",
" \n",
" # score model at time t\n",
" scores[t] = model.score(data[:, :, t], categories)\n",
"\n",
"plt.plot(epochs.times, scores, label='scores', color='r')\n",
"plt.xlabel('times (s)')\n",
"plt.ylabel('accuracy')\n",
"plt.axhline(.5, linestyle='--', label='chance')\n",
"plt.axvline(0, label='t0', color='k')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The decoding score is way above chance level even before stimulus onset. Why is this? Because multivariate models easily overfit. Given a sufficient number of channels, it is (nearly) always possible to find a way to discriminate two conditions.\n",
"\n",
"Instead we need to fit and evaluate (score) the model using different datasets\n",
"\n",
"## Validation"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"('training set:', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71])\n",
"('testing set:', [72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144])\n"
]
}
],
"source": [
"n_trials = len(data) # length of data = data.shape[0]\n",
"\n",
"# Define training and test sets\n",
"train = range(n_trials // 2)\n",
"test = range(n_trials // 2, n_trials)\n",
"\n",
"print('training set:', train)\n",
"print('testing set:', test)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f7c07a9b150>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Mqirg8MNjL3gTC7sxhfJy5+seaBdSNFGYPh0YM4Y71FgukmShO89I7pa1a7kz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\n6OD/AQk48muFmTWGAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0e2307d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Normalize data\n",
"data -= data.mean(axis=0)\n",
"data /= data.std(axis=0)\n",
"\n",
"n_times = 106\n",
"scores = np.zeros(n_times)\n",
"for t in range(n_times):\n",
" # Fit model at time t\n",
" model = LogisticRegression()\n",
" model.fit(data[train, :, t], categories[train]) # fit on training set\n",
" \n",
" # score model at time t\n",
" scores[t] = model.score(data[test, :, t], categories[test]) # score on testing set\n",
"\n",
"plt.plot(epochs.times, scores, label='scores', color='r')\n",
"plt.xlabel('times (s)')\n",
"plt.ylabel('accuracy')\n",
"plt.axhline(.5, linestyle='--', label='chance')\n",
"plt.axvline(0, label='t0', color='k')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Cross validation\n",
"\n",
"Splitting the data in half is not very good because the model is fit on a small subset of the whole data\n",
"\n",
"Instead, we can use cross validation. We recommend using between 3 and 15 n_splits. Leave-one-out procedures (n_splits=n_trials) should be avoided (See Varoquaux et al 2017)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(0, array([49, 50, 51, 52, 53]), array([0, 1, 2, 3, 4]))\n",
"(1, array([0, 1, 2, 3, 4]), array([49, 50, 51, 52, 53]))\n",
"(2, array([0, 1, 2, 3, 4]), array([ 97, 98, 99, 100, 101]))\n"
]
}
],
"source": [
"from sklearn.model_selection import KFold\n",
"\n",
"cv = KFold(n_splits=3)\n",
"for split, (train, test) in enumerate(cv.split(data)):\n",
" print(split, train[:5], test[:5])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f7c04cc2690>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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y17ZHxl697q9/9Rb+9Z53zNXw5h0pJe+6713c0v599UBdMx3+AA3CxcmNJ5Mo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\nyoQyTFen2X2sVUmTr+dJFydh3RV+5+5IzwjFZtGXDTw/qbI1s6w5BW/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ewSpvuHgtAX2e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6eZTpiSLh8BfPmiL6dt3fSCK9e3Mey3SxZjgZPY+uiuQY/NiMLEVIJXu4fmbAuew6FtNiEqNbmx\nfdNMsLn/Tdj7K9j80cLty0ZkblZzOOinbnoAIk3OpKjAmEIgwv1b7+esxrOS59wGQ72jvbREWuhv\nvZCbJ7/A+s70fISbzr6JOy+8s6DPXRAbb7Se2Yv35bcltUxUlyhMjtiEmZPxFJzuaQ01YQbHB+kd\n6U0vVzEP8UiAt8ecWcCsL8L4MRvYW7PmDBqjwTRPwZ0pdcbsGuzBYZurEPbbvd2l/gFdEMs22evj\nrpPOJoOXluyE1TdS8hIXlURtwE97u525Tiyw2FsazgzeTMyIwu7DQ0xMJzJvC07l0HbrGaT2BW7f\n7ASbD8KLP7CisaVEohBtmjNBigb9NCQGSESaGJtMFLx8lAm3BhfYGOBK597bsLyE+QjZaFgGZ11l\nqwu45XdUFMqMG+lfaDazS23cflmAhkA06Snks/UzFg7Q56xhznaZ+w/vZ9wEWLuqgxWNEfb32904\nqTGFlro6zHSQI6NOj9aEnSE2RitIFNxA5XzB5tGBOZ5CNFRDc12I/X0jJS+GV2msW2MzzaXQeAIk\nA/zHjh23DYqw8QSYm0CYhjHWI2iftczoeg0HnodtD8CZV0JD+9zXF4MMnkIkWEPMDNqSMFBUUQj4\nA7RF7C6q1kgrGzti1NfW5A7Gl5LzbrUivPNhQApfRiwi1SUKblCn0OWjcBywX7yGYAM9oz0MTWTP\nZnaJhQNMECARqJvzRRjuO8ARE2d9R5yVTZGU5aMZ9zng90EiSv+krSzZN2A9iHOWeXhDz8b9QckU\nbE5M234RGby0lU0R3uofThYArAZPAaCx1e7oaV56Ej+6Tjb5+MgAv9ltW6XueHuAJZEAHUuyrE8P\nHrI/RqlLRwBtTrD5f79mnz/v1sJty0WGmEIk6KdRhhh2CgYWUxRgJq7QHG7m2i0dPPuFy0vWuyMv\nTr8MYiug73XrJXjQ42M21SUKSU/hJGIKDg2hGG8O2MSjfGIK7s09Vds4x2VODB7mmL+J1vpaVjZG\nOHR8lKGxScan0t1nv6lnNGG/RAd6hXgkQGej94GpJJFGiK/MHGx23eMMgryiMeJ4CqXtpVBxOB5C\nMTyF9vB0skfyjoMDbOjIsXvG/X/UPksUAmFoPRuOvmIDzGsun/vaYhFpshOFlLackaCfRoY4LnZ5\ntNAtqfPhikJrpBWfT2xLWi/x+eC8m+3joPdLR1BtolAUT8HSEG5kMmFv5mw5Ci7uj/u4Uyk1ldDo\nUaYcb2NFU5SEgZcPDaa9DiAoM8HjvYdt0TkvuodlpX0TvP0HeOkh+3fgBXt+bH5BXtEYoXtwjL4T\nNju8WpaPcPtpFJijACQDzZeuCvObPT28cXSIPUeGkl3v5qV7u40XLF0/9znXe9hy87w9g4tCdG4C\nW8w/Tkgm6U3Ye73YnoIbbM7nO1s2Nn/UemcVsPMIqk0U3ABowYHmmVhEQ0ocIR9Pwd0HPRKIp+Up\nDIxOsiTRR03cLiG4u3F2HhhwXjfzpQj5ZgqH7T2cyL27xAtWXgxDh+DRv7Z/977XXvcsJctXNkUw\nBl7ttkJYLctHxDps7kvL2sLfw1k+urAjhAD/8NjLTCdMHjuPtkPL2Zlnp6svsR7I5o8Ublc+uKI4\n3JM8FTP2HjjiZBsXuiV1PtY1rSPoC7KyYWVR3/ekqG+zFVBjK7y2BKi2KqmF9lJwcV/nDxFL6ZSV\nz+6jZHMVf4ylQ3uT5195q5t3yigNLXYG4+6IeOnA8bTXAUT9DQwAkZo6hhJ+73ZNZOOCv4Iz3wNm\nGvr3wQPXwkv/CS1Oyd8MQX5XCHcddEWhSjyFcBz+fu9M6fFCcJaPYv4xLlu7NKXrXZZ7wxi7fHTm\nezI/v/F6Wwep1CUX3NIZQ0dsjw+gYdpOhg6M23ui2J7CO9vfyW8/9Nu5tce85v3fSq855SHV5SmM\nFVg228X1MMJxGkJ2JhbwBYiFcs/Y3Rn/oC9mYwrODbBvnxWI1nY7c2mpDxEO+Nl50PEUUmZK9c5+\ndncZ6dzOCvQURGDJStvDYc0V0L7FllLI4qW5CWy7Dg3gE7stsWoIhE8uuFgTtJnBE8N85EI702yt\nD9EWyyI0gwftPTg7yOwiUp4aPElR6E6eqkvY+/7N0TAipfEaK04QwFZMqPGmHtdsqksURgssm+3i\negq1cRqCVljyyWYGuy89WOPjuKmHqbFkskrfYRscjDbZAJiIsKJxZgdS6kwpHrKzbDMVpbkuRFvD\nScwwy0XXrdDzGux5yh5n8NKa64JEgv6SN9g5ZQnWwfgJLjmjhdOao5y/Kkfeg7s7bHaQudy45bjd\nontAZMp6yHuHQzTUBrJnZCslobpE4WRKXEC6p+CIQnMk/yBhPBygzzheihtXyFCauLNxZp03TRSc\nH9SRsRDndlRgkDkT6z5gSzHsfNgeZ7j+rhBCFS0dFZNQHUycwOcTHv7URXz12g3Zx3dvt4HNTEHm\nchKotZOEoRlRCE9aUXj9RKjoO4+U/KguUTiZEheQ7ik4S1D5xBNcYuEAR6cdt9zZcREatXvLU0XB\nXWOf7T63OFsXR0ZrvU24WQihOrtGbaZtu9F5dli4/+aqCTIXk2Bdsq1lYzSYW1gPbZubyewV9cvS\nRCE00c+E8TNkwkWPJyj5UV2iMHa88GxmyOgp5LPzyCUeCXDYKdfrikJkoodJCaaJlfsDOdt9bo3a\nZQEzHa3MnUfz0eUkQGXx0lY61TxVFAogaD2FOUyO2qTBVIyxy0deLx251C9NE4Xg+DH6aQBERcEj\nqksUCu265uIPQLgR6pYSD8WpkRqW1y3P++WxcIBDE87sbKQPYwxtU4c4EWxNCza6Symz3eeO+laM\n8ZGYjFXmzqP5aNsAy7ugbn6vqlOXjwqnNpb2wwrA1ATcfQH8+ivp53MFmcvNLE+hZqyfY6Y0OQpK\nflTXtCxDPf8Fc8tPoKE9WYXxtNhpeb80Fg6ya9xZPhruZaivmz+XbexuvZFU/8WdNc/+UrTVL2Hk\nT59iae0KWnK1Waw0rr8PJobnfXploy4fFcwZ74Yn/y7dA9j9Mzi+35a+TiWZyVzm0urzUd9mS8cn\nEuDzISN9yWxmFQVvqB5PwS2bfTKeAtjaMBG7jLO+eX1ag/BcxMIBDo4FbO+BkT6mXnyAoExz5Iwb\n0sYtj4fxydwvRTwSIDHWycbl+ccxKobY8plchQxoTOEk2Hg91IThj/fOnHMfH94F0ymtOg85QeY2\nj4PMLnVttnLxaL89HuljyFeaEhdKfpRUFETkShHZLSJviMgdWcadLyJTIvLBkhkzMWxvvpP1FE6C\nWDjAifFpTKQJhnuI7HyA5xJrCbSld0kL1vhY3Ryds+V0STRIwC+ct7LEvWM9oD0eJhr001q/CLbZ\nVhrhOKz/AOz8kQ049+2Ffb+B1nNsE53e3TNju51y2RVSUmFOrsJIL0P+0hTDU/KjZKIgIn7gbuAq\n4BzgQyIyp0ekM+4u4L9LZQuQtfZOuXBnPtO1jbD7SWqH3uLBqctpis5NWrn31gv4wtaz087VhWp4\n/PaLueWiVeUwt6wE/D4e/8zFfPzi1bkHK3M571YbbN75sNMHwQ9XftU+5+YlJIPMFbJ0BDO9n4eO\n2MJ4YwOMOBVSi13iQsmPUnoKFwBvGGP2GWMmgIeAqzOM+wzwY+BoCW05+RIXRcCd+UyGlsBIL+OB\nOE8lzqcxgyh0NkYynj97WQOhmlMz4/f0ljpvyxgvZjq6oHUdPP892Pag7YOw6s/sziQ3juAGmStl\n5xHY3UdgPYURu4Q06ohCg3oKnlBKUVgOvJ1yfMA5l0RElgPXAN/O9kYi8kkReUFEXujp6ck2dH4q\nwFNweyOMBezyz6tL38s4wYw//oqyIETs1t8jO+0Pf9etNnO/beNMi1RXHCpl5xGkZzU727THncx9\njSl4g9eB5m8AnzfGJLINMsbcY4zpMsZ0tbQUWPK2gjwFt4HIM7G/JBL0Uxs4NWf+SpnZcJ0NOMc6\nbfMWsEtFh3faYHOlBZkhPavZ6TNSiq5rSv6U0lc/CHSmHHc451LpAh5yyjU0A1tFZMoY81jRrWlY\nZuuWl6q1YB7EnZt8T+d1dKw9n9f3ttMY7ffMHuUUIxyH999tc2ncPgjtm2ytrZ7XrMfQenblBJld\n3FwFx1OYrrW7+9RT8IZSisLzwBkishorBjcCH04dYIxJRhVF5F7gpyURBIDl59k/D3FnPvtrVkHX\npfTt+EPGILOiFMz6a9OP3aWi7u3WUzjzyvLblIv6NisKTj2wqXATMKyegkeUbPnIGDMF3A48BbwK\n/NAY87KI3CYit5XqcysZ9yYfGLX7xvuHxzWeoJSWpjU22PzazyovyOziioJbD6y+mUjQT1iXVT2h\npFs9jDFPAE/MOvedecZ+rJS2VAI1fh91oRoGRm0bz/4TE5y1tMDeDoqSDz4fLDsX9vzcHlfSdlQX\nN6t5uAdqY9x6yZlctm754qgCfAridaC56oiFAxwfncAYQ9/wBE116ikoJWbZJjAJp1z2Oq+tmUv9\nMptY2rsHIk00RoNsXnHqJWguFlQUykwsHGBwdJKRiWnGpxK6fKSUHnfJqBKDzAB1Tq7CkZdn+jYr\nnqGiUGZi4QDHRybpH54AUFFQSo8bbK6k/IRU3KzmkT6Iqih4jYpCmYlHAgyMTtLniILuPlJKTtMa\n2wFv4/VeW5KZlAZTbrFJxTu0pkCZsTGFSfqHxwH1FJQy4PPBdf/mtRXz4y4fgS4fVQDqKZSZmOsp\nnHA9hUXWF0FRik2gdqYjotNyVvEOFYUyEwsHmJhKcOj4GACNuvtIUWZqIGlMwXNUFMqMWw54X+8J\ngjU+okFN0FGUZFxBPQXPUVEoM25W85u9wzRFg5qgoygwswNJYwqeo6JQZtwiX2/2DGuQWVFc3L4K\nuvvIc1QUyozrKQyNT6koKIpL+xYbV0jdnqp4gm5JLTOplR81R0FRHM55n/1TPEc9hTITS6kRv0RF\nQVGUCkNFoczUBWvwObFl9RQURak0VBTKjM8nySWkRk1cUxSlwlBR8IAZUVBPQVGUykJFwQNiESsG\n2ktBUZRKQ0XBA9RTUBSlUlFR8IC4IwoaaFYUpdJQUfCAWDiA3yc01AZyD1YURSkjmrzmAdd3dbK6\nOYrPp3WPFEWpLFQUPGBDR4wNHTGvzVAURZmDLh8piqIoSVQUFEVRlCQqCoqiKEqSkoqCiFwpIrtF\n5A0RuSPD81eLyA4R2S4iL4jIxaW0R1EURclOyQLNIuIH7gb+AjgAPC8ijxtjXkkZ9kvgcWOMEZGN\nwA+BtaWySVEURclOKT2FC4A3jDH7jDETwEPA1akDjDEnjDHGOYwCBkVRFMUzSikKy4G3U44POOfS\nEJFrROQ14GfAx0toj6IoipIDzwPNxphHjTFrgfcD/5hpjIh80ok5vNDT01NeAxVFUaqIUiavHQQ6\nU447nHMZMcY8LSKniUizMaZ31nP3APcAiEiPiLxVoE3NQG/OUZXDYrK3WUQWi62wyK4ti8dWWFz2\nLiZb4eTsXZnPoFKKwvPAGSKyGisGNwIfTh0gImuAvU6geQsQAvqyvakxpqVQg0TkBWNMV6GvLzeL\nyd7FZCssLnsXk62wuOxdTLZCeewtmSgYY6ZE5HbgKcAPfN8Y87KI3OY8/x3gWuBmEZkERoEbUgLP\niqIoSpkpae0jY8wTwBOzzn0n5fFdwF2ltEFRFEXJH88DzWXmHq8NWCCLyd7FZCssLnsXk62wuOxd\nTLZCGewVXa1RFEVRXKrNU1AURVGycEqLgog0isj/iMjrzn+XZBjTKSK/FpFXRORlEfkbL2x1bMlp\nrzPu+yJyVER2eWBjrnpWIiLfdJ7f4ewq84w87F0rIr8XkXER+ZwXNqbYksvWm5xrulNEnhGRc72w\nM8WeRVPbLJetKePOF5EpEflgOe3LYEeua/suERlwru12EflS0T7cGHPK/gFfA+5wHt8B3JVhzDJg\ni/O4HtgDnFOp9jrPXQJsAXaV2T4/sBc4DQgCL82+VsBW4ElAgAuB5zz8/5+PvaI4e1oAAAVUSURB\nVK3A+cBXgM9VuK0XAUucx1ctgmtbx8wS9UbgtUq1NWXcr7CbYz5Y4df2XcBPS/H5p7SngK219APn\n8Q+wWdNpGGO6jTEvOo+HgFfJUI6jTOS0F2yiH9BfLqNSyFnPyjm+z1ieBeIisqzchjrkU3/rqDHm\neWDSCwNTyMfWZ4wxx5zDZ7EJoV6xmGqb5XPfAnwG+DFwtJzGZSBfe0vCqS4KS40x3c7jw8DSbINF\nZBWwGXiutGbNy4Ls9YB86lnlVfOqTFSSLblYqK2fwHpkXrGYapvltFVElgPXAN8uo13zke+9cJGz\nPPekiKwr1ocv+h7NIvILoC3DU3emHhhjjIjMO1MRkTrsLOFvjTGDxbUy7XOKYq9SvYjIpVhRqPj+\nI8aYR4FHReQSbG2zKzw2aT6+AXzeGJMQEa9tyYcXgRXGmBMishV4DDijGG+86EXBGDPvTSYiR0Rk\nmTGm21nCyOgWikgAKwgPGmMeKZGpQHHs9ZB86lktqOZViakkW3KRl61O35HvAlcZY7KWhCkxRatt\nVgbysbULeMgRhGZgq4hMGWMeK4+JaeS0N3Xiaox5QkS+Vaxre6ovHz0O3OI8vgX4r9kDxN4F3wNe\nNcb8Uxlty0ROez0mWc9KRILYelaPzxrzOLZ0iYjIhcBAypJYucnH3kohp60isgJ4BPioMWaPBzam\nko+9a5zvF5JnbbMSkdNWY8xqY8wqY8wq4GHg0x4JAuR3bdtSru0F2N/y4lxbryLs5fgDmrDd3V4H\nfgE0OufbgSecxxdjA2A7gO3O39ZKtdc5/g+gGxscPQB8oow2bsXu0NoL3Omcuw24zXks2I57e4Gd\nQJfH90Aue9ucazgIHHceN1Sord8FjqXcpy9U+LX9PPCyY+vvgYsr1dZZY+/Fw91HeV7b251r+xJ2\n08FFxfpszWhWFEVRkpzqy0eKoijKAlBRUBRFUZKoKCiKoihJVBQURVGUJCoKiqIoShIVBUVRFCWJ\nioJSlYhIXEQ+nXLcLiIPl/Hzl4nIT7M8HxSRp0Vk0VcdUBYXKgpKtRIHkqJgjDlkjClnDf3PAv86\n35PGVsf8JXBD2SxSFFQUlOrlq8DpToOSr4vIKnGaFonIx0TkMbGNjv4kIreLyGdFZJuIPCsijc64\n00Xk5yLyRxH5PxFZ65y/TkR2ichLIvL0PJ9/LfBzZ/w6EfmDY8sOEXELmz0G3FTSq6Aos1DXVKlW\n7gDWG2M2QbJseirrsWXUa4E3sBU0N4vIPwM3Y6tq3oMtO/C6iLwD+BZwGfAl4D3GmIMiEp/9wSKy\nGjhmjBl3Tt0G/Isx5kGn1o3fOb8L2wBIUcqGioKiZObXxjZdGhKRAeAnzvmdwEan1PpFwI9SSi2H\nnP/+DrhXRH6ILWA3m2VAT8rx74E7RaQDeMQY8zqAMWZaRCZEpN6xRVFKji4fKUpmxlMeJ1KOE9jJ\nlA84bozZlPJ3NoAx5jbgi9jyx38UkaZZ7z2K9UBwxv878D7n/BMiclnK2BAwVrx/lqJkR0VBqVaG\nsD25C8LYevZvish1YEuwi8i5zuPTjTHPGWO+hPUIOme9fA+wyj0QkdOAfcaYb2LLpW90zjcBvcYY\nr1uFKlWEioJSlRjboOZ3TkD46wW+zU3AJ0TkJWwZY7eP7tdFZKcTuH4GW9449bOHgb0issY5dT2w\nS0S2Y2MZ9znnL8W2sVSUsqGlsxXFA0TkGuA8Y8wXs4x5BLjDeN9QR6kiNNCsKB5gjHk0Q6whibML\n6TEVBKXcqKegKIqiJNGYgqIoipJERUFRFEVJoqKgKIqiJFFRUBRFUZKoKCiKoihJ/h+3aZDShcFm\nVgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c22a21c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Normalize data\n",
"data -= data.mean(axis=0)\n",
"data /= data.std(axis=0)\n",
"\n",
"n_times = 106 # number of time sample in the epoch\n",
"n_splits = 3 # number of cross validation splits\n",
"\n",
"# Define cross \n",
"cv = KFold(n_splits)\n",
"\n",
"for split, (train, test) in enumerate(cv.split(data)):\n",
" scores = np.zeros(n_times)\n",
" for t in range(n_times):\n",
" # Fit model at time t\n",
" model = LogisticRegression()\n",
" model.fit(data[train, :, t], categories[train])\n",
"\n",
" # score model at time t\n",
" scores[t] = model.score(data[test, :, t],\n",
" categories[test])\n",
"\n",
" plt.plot(epochs.times, scores, label='split %i' % split)\n",
"\n",
"plt.xlabel('times (s)')\n",
"plt.ylabel('accuracy')\n",
"plt.axhline(.5, linestyle='--', label='chance')\n",
"plt.axvline(0, label='t0', color='k')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Training sets are not independent across one another. Consequently, you should not do inferential statistics across splits\n",
"\n",
"## Using MNE to do all this for you"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f7c0d86df10>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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u6aixmbikrZbfHyg9UTg96EYIplSBb26tpnvUw7lRT4FWNjvs7RzlokWVGPWR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c07e9bf50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mne.decoding import (SlidingEstimator, LinearModel, \n",
" cross_val_multiscore)\n",
"\n",
"# Load data\n",
"meg_data = epochs.get_data()\n",
"categories = epochs.events[:, 2]\n",
"\n",
"model = LinearModel(LogisticRegression())\n",
"sliding = SlidingEstimator(model, scoring='roc_auc')\n",
"scores = cross_val_multiscore(sliding, meg_data, categories, cv=3)\n",
"\n",
"plt.plot(epochs.times, scores.mean(axis=0), label='mean scores')\n",
"plt.xlabel('Time (s)')\n",
"plt.ylabel('AUC')\n",
"plt.axhline(.5, linestyle='--', label='chance', color='k')\n",
"plt.axvline(0, color='k')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using LinearModel and get_coef to retrieve model's patterns"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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PJmA1CTZdeLxbDz0qf4HyomkDbrVsArozf8nUMY4CkWGgFBmZOSzbc5R95+Px\nZLu4mJrBr+cvU72ifyZStFwF3nv1eSYO7o0pOhY9PJpJXyxnwfJVABSLjaFkofw0rlOT8WNGsHj2\nVB58pB3hIVaq3tOSsLBQLCYdd04WPo8bsy5kpKUiyuDi2dNsWLearPQ0NIGIiEj6jpniMJktC0Qk\n5lbLB0B0DVuE/bopyK0jz2YoIlLebrfvmjRthmPWjOlMnT2XyKhoDAVawOzVqHZ1nny0HcNefoaJ\n4z5iyQ9r+Kr34+guN+70LNzp2bizcsjK9RDmdHAFxY6MLF58vhtpzkIM+Gg6d9dvzK/btzJ82Dvk\nswl6xmWmzpiFOzOTng83Yco3a/jq5+2sGvUaC1dtxGR4eaRqGU7HJdJ56tcMatOY52cty3Z5vNWU\nUifypPN/AbvDsaD9U50eMZSEROSLpf1zvf9l7lo4cQwRRUqzat4UuoydT25WJhvnT6DJI09SsEAs\nNSpXpKDTSqRNx5WaxGczp+F259LygYeoXLMO6W6DXw8c4fzlROIvnKXRvc0pGhtDhM1EbmoiHdo9\nzKIZE6gQG0qzJ5+n7b316d3tKQiNIkNZGTVlNskZWSSmpJGrtKzV3yz6xu1ydb5VshGRcnarZfec\nkYMckxct54tJo4mOLYRhsZPjExYvW8nI0aOpUqUqH34yifnz5rJt0y/Uq1ePl3u+iNNk+Dc4enPJ\nSk8lNCTE7+2laSjdgmGy8dqgtxg6fAQmq99RYfTI9xk++A1mTZ6AOy2JXm3uZcri71i8ZjPr532C\nhOdj+lcrqd+0Jbm6lS5PPcE9bTsw7+P3sz25rupKqeO3Sj52u/3zrk+2f9jkcYXkt2mkJsTzZos6\neF3+cGTL9h1n3PpfaVi1Am++8hzvzPqSoa++SLGCMf5Zl8mKMtnIcnux66D7XIjhQ+lmfGYH/UaM\np8dr/fHYo5g2YwYRZargLFQad3oS3348lBcHDaNm5fL07tCWBx56iF4vvYwu4FOQ7TEY+uYgLicm\ncf7smdwTB/YsdbtyOt4q2VzlrgLRalnnVtctK/Xh/OAM5RaRZ15e4eHh0159/Q1Lg0aNOHfuPJER\nkb8pF4FGDRvxYvdu4HNz5nwcdcsWxQJMWrOTyjFhVI8MR9N1nA4dk81CqEknOSEVcTh5b8pcXn3z\nXTxWJzXuacGLL71M43q16dvpERx2O7rXDV4PjzWoRsWCUWzdf4TUtAyev6ca7vRs8ptMvHbv3TQp\nWYi+LWrMDH1IAAAgAElEQVRbJq3bNQVomVf9/yNEpFZYRES7VwcPtf+yfh2h0bEYgVAyAMXKVaLE\n3Y2wRcRgd4QgXjc2q5XTe7dTqnAblkz9iDcGDEK5XYwZ+R6DX3mBWKeNxd+t5OsvFvBQ+8epX7sh\n5XO8eHz1sOjCp+NH89ijj5J46Rz5Y6IJMwtGejKDO7ehcolCGBmp6CYLoaFWwkLsNLq3OblixZq/\naMjaZV8+LiIfKaV23Qr5RDhDpw54vqPlnvq1OZuYSnhkFMps5eSlK0yY9ildnunOtM/mE5kvFmUL\nxeaM4J6WrWjavBmPPfkU5cqW5f133yHMbifEEvIvV5YrycnE5Itk2qdzaNO2PRabHY+h2LFtKzu3\nb8dAcNhs6C6LX3ca16R8kfyQm414XXRt9xDvjJvGwHdH0rvfQPTwfOxr1Mx2YNvGqUDzWyEbEanp\ncDjajxj4mmXdiuUc2bePZuWL/Wsw0S0mHqpTiU1xSfTr/hT22KLYwiLQI2I5dDmNxV8v580B/cny\n+NCcZsCNyjbISUvA5/UQGp2P/j27MXHmNF7sP4QOnbvy4pNteODpl9m3cRWhDhsx4U4cZp3X+g/k\nriqVsOn+MC7+mbTQoUs3LiWlokcVsPZq1aCtiNRSSu38457lLZquY40IHntzu8mTAUVE6kZFR9d+\noWcvk9lioVfv3vgCsaau+vgnXrnMXXdVITYqAkmPIzrMQc9Wd0O2i7Mp6ThNGncXzMfiI2fYHZfI\n+E4P8P6KLfx8/DzWxT9xzwMPM2jQQApWqEbbDk+Tv3BxNmzayqvPdqTr423xJcVhZKYS47TTqFJJ\nBsxayqgnm+PJzPEvXubkcn+pwuhuL91rVzZNXr+rwa1S/FCnc2yfAW/ZbA4nTe5vTUZgNzL4Z26V\n7q7LkQO7KFejPm6vgTN/PqrUbUilylXwpSVy+dwpshMuMGbcWM6ePsXOjetoU78aW35ej0czcWzP\nNjZu/IWdu/YwfuZcTLoQf+Es508fZ8emDaxcNBtT5hW88Yk0qVQC5fGgsjMwrDY0i43O7R9mwXer\nebJ7L+Iz3bTt3tv89ayJY4FmN1s2IlInOiK87ivPdjRZ7Q5e7fEMymwnPiWLiTM+4+33RuLBRI7X\nINenSM720qj1Y5g1DYdFp3iZ8hQsVpwPPp7AgT27ychI5/XXX+f8+fOMGTOGxo0b8/gTT/L5559z\n4PARujzzHOfOniM9PQ0MH53bt4bUeHwpCUQ7HTStWg4jJwvJzsQWZqN44QJcPHOSdu3akZjtJTUz\nWzu0Y3M9EamjlNp+s+UT6nSObVC/viU8xE6b+tXZuHYd9aqWwJvjRrOYMDls/HjkLK2aNqBMjVp4\nw4vwyGMdmLlkOZcuXmLL1i2keTWcYeEsnDeHns89S9+ujzJg7GRyMjOZ9k5fft15iNU/raRy1WrU\nafYgpUqVpGCYlcdGf4xZF+wmnRCzxr1Nm+DLyWTS+I/JSE/F61O83Oc1KlesQOFcH5czc6neuIVt\n188/fQg0udmyuRbRNSxhjv/uWv/hfT/jX5gPA+4FrEDPQJXJgBtYf83i9t+uzjXyqAJcdbAY+VcX\n5CGPBhS73T7kjQEDLVar9V8b80RAFP+Ku7Vrxw7q1a0DPjfi8+DKdWO3mHG73Lzfrim+wBtX7XLF\n8YXYeH/DHjq0a8W9ysa2k/E8ULMhWZ8tZPf2rdR9sD3P9XuLuR+9i7I6UbZQNGckyusBw+DUhXiq\nFS8IhkL5DJTPwPB4/b8bBmZN4+WGVc1j1+8aBDyaFzL4T4hIlVBnWK32HToLBAI6Glc3L/o3IebP\nl4/vd20mqkBh8hUtyd5131O7XkMqlixKwVALRRyKpfOmM6ZPV2bMXUTFKDveKxd58b46eE02qje6\nh4GfzKNY4YLkd9oQEWZMn86bA/rxTr/eaB6X363WlYXKdaEMH0YOiMUGjjAKxcSSlpyEWRNsJo0W\nj3aUpTMm1BeRSkqpQzdTPg6b9c3BLz1jsdodKN3iX3g32xgzcTwDhgzFg4l0t4/MXB8Zbi/ZHh+G\n8rtQOzw6Lw15D0dgfen4gX2sX7USa1gU5apE0+f1N+jcqRPO0BAuxcVRqarf8/fRJ57g9ImjaMoA\nwwtXnTkMHxgGClCuLHR7CM+0f4hhkz5l0LsjybFo3F2jBmWr1rQd2rF5ENDuZspGRCqFOp11qle9\nC/G5OX3mDCWiQvHmBGYnZhOHk9M4n+mhf49H8Ybm5+2xn1CuSjU6vtCHnOwsXrU50E1mlFLoFiun\nzvrDlPV8rBW5KYkYaUlUyh/GU62acebwfgoVKsSMGTNxGwotEEtABGwmISnuIuM/HMOAV3pSqEB+\nUjOyGDbyfYaOHI3VKzjMOi8MeV9eWP9jbRGprJQ6eDPl8xtZaRoW5399qOsAYHHg93bXbP5rH8j7\n8urmP2DB37jOVfrg9wJTwGjgLx/AdsOL8iJSUCnVvFOXriYR/8YnARYtXMCuHdsRwOf1sm/PbqpV\nKo8rI51Tp89it/hDhIiuoQdcHs0hNpwxYVx0eXnrlR7Uv/8hfjl0mo49X+P994fT+Pk3adpzKOcu\nXCTd7aVE2QrsOnQcZXMiIWGcS8sh2yfExkRxMTkdJf43l93nL7Ps0Gn/wOL2Yni8PF6plNlQ6kER\nyX+jMvgjzBZL707de+gmi/Xfppj4SyyZNh6zKGwmDZPhpWufgcQf2cPxzasId9gpU6wIMQ4LF44d\n4PiebQzp8ACmi8fpVrcsJexw9sQJ8ls1KuZz4ktJYORrz1G/RhU+GP4Om9av4e3BA+nxdGciQ+2I\nz407N5cTFy77PeEMA5/Hg/K68eZk8fHEaRiGl9zsTCy6Rr58+Shdvbau6aaX/rBzN4iIFDCUavns\nE4+Yru6CV5rO0JEfEp0vPyabg7QcN2nZbhKz3VxKTuPo8ZOk5HhIy/X6k8ufXF5FqUpVef61/pS5\nqyZl76pBx27dsTkcCNCtWzeqV6vmf9FBgeHze4oFNkueibtCVnYOyudDedx4szIwstI5cPAACfFx\nXDh9ArtJIzY6knpNWmhKqfvlJof1MZnNLz/VpZsWHh4Ohpf1O/ZSPl8k49buwGcYiFlnzi/76Ptc\nJ1RoNMPHT6d+0xbUbd6KVDekKBsXs7xcSHeR4vLS9fleREf718zLFytE5SL5MDJSKRpi4tUnHmTg\nc0+yd8sGJo0ezsYV37Jn01riTh4m6fwpZk4cz6wpExn9Vj8KhVnRXBmEWwWf28WCz2ZhNfkHlOiI\nSCrWbazrJvPLN1M2v0d0HVNY2HUT+Dc2XpP+dbqpiLQEDuE/2RN+u/mvSCCdD+Rdb4Pg36nOVcKV\nUqlKqTTgL29qhDwYUDRN69D64TZGWKjffnl1UNm/dzf79u5G14QhA15n/dq1mDVh4ozZ9BgyCuXz\ncioukWFfrsWLwmSzsCPuCl/8eoyx/XpyJM3NS+9/QqcX+7Bszc+kKyvnknNIzvbx4/wZJGZ7aPRg\nW3q+9BLHLiVjOCJ5ecwMJixfT0R0DKv3neDFWcvRzCZ2XEpgx0W/vlydsThNJpqVLOzThA43KoP/\nhIiYNdE6Ptqhi02TayK9XjjDsX27wOPm/JED9O/4EN6Uy7R9ogMr5kyGzGQKOq18MfMTPh41nNfb\nN2Pa1Bm8MWY6E+Z+w6BJ8xm9+Efemf8dR06dZdmPa7ly7jRPt2nJy892waS8DOr3Gpfj45k6ex4o\ng89X/kyXEVPxKI0LSWk07f8hOw+dIDMjg9W/bCYyzMmh/XvQNTDrGo3bdzaLpneRmxgkUdOkQ5vm\njX3O0BCUaP7Ni7qJn9ZtwGp3kONVDBvUj7HD3+Lo8eOMfPlpJg1+mTlj32HzutXMHDOcxMxsMt1e\nzl64RI7Hh8ur2L5tG2fOnsVnwKFDh+jWtQsJcZfQBdJTktixZTN1atdi6Hvvc/zUGZTho8/Hsxi3\nZCXK7eLtWV/y6oczMXKy2LR1OyZRzJ8zG7tJcJg1Hu/anVKVqyGi3Vzd0fTOLR9oZY+JjACPmzMX\nL+PO9bD7QgIuFEv3HGPlr4c5k5bLhbQcZs+Zx87de7mY7mLq1MnMmfsZ0yZ9wrpNWzgddwW3ocjJ\nzeW7NetRImAYfL95Fwlxl/ClJJAZf54X2jZl8DOPkRN/hnXff8Pp/TsYP3oEsz+dyTsvP0PyueM0\nav042zf/Qk5yAqdOnWTThp8xBzY+Wk0aRUqVt4hIZxEx3yz5/B956RpaSNh1E3+8sbEpUA/oCDx/\nTf6dttHwjt/UCHlg8oqIiOj6xJNPhogIOv7jAw2BD8Z8+C/z1/0PPEh0RDjizaVXp3bcW74Qi775\nnoy0cM4npZGb6yXRl0OXKV8zc+DzWAsWo88rL1Cp+t2cvZzM+tWrOHP6LEaVVmQe38nR7Rs4ceYc\n9hIFcYZHMuaTKUwZ/yFj3htKEYegqVyG9XiScZ9/h8tk5pVWDXElpePOyEL5/h3ivF2lkqHbLiR0\nAcbfqBz+Aw2LFCtG8RIlAuHSFWZNo27DxtSu3xhNg3BHRbq98DKVypbGZDIxctwkKpYtg1PzsPyr\nJXR7pCVLFy/huw27MSvFGw81Yt3lJMb9vItl/bvw/vL17DkbTy+f0LVYSQa+9S4FChWm2b1NOXvh\nAmcvxqHMDjo8+jDVyhbHFhVDQYuZp+9vRPliBQlz2FgxZyIXc3QWr1xLhbsboAtcPHoQZ74Cknrp\nbH3gl5shnMgwZ9cODzUPvRpSRYlgiM5997Wg+4u9SMz2cW+bx0nzKC5evEinYRO4En+ZyCKlOLNz\nA6cO7ycz24WRk8Xb3Z/glUFDadbyfhbMnEypMmUZNORt3ho4AJTB1KlTuadJUwYMHEDTpk0ZNmQQ\nSxctJD4hgdLOgnzQ40nWbN7B0Dnf4LRZaVq1EsqVxStPPIgWkZ/Rn31FetIV7GExOG0mImPy2e1h\n4V2Aj2+GbID6BQoXEbvNhjk6AuV2geGjQanC1OpwH5YQO2eS0ujfuS3FS5Rgwlcr+XjKDEJLVGLl\nT6tY9/03lGlwPyUbPMCqr6bx5fnjzP16BWfPneftlSto/OkYbLqZMV+vpXt2Ll1jY3lpxDQKxsYw\nqm8PtOxUdHcWjzeqxsP1q3D4cHMsKeeJyU2na4t6lI+0E6py+WHOZL5YvYVjhw5QuFxlzLrG/R27\ns3XVchLPn26Af23i5qOZ0JwR/9+XKaXeBBCRbvg3NoaJyBR+t/kvYCpaHvj8zd+xztVNjfifh58E\n6oz+Ywn+lhtyGxaRELPZnHzhUpxF0zRW/PADrds84o+vdc3BT18smEfDurWpVCgCLTWOseMn0a5c\nAcK9Pgy3F9E1Vp26wCWvotcznXFHFmHk7C95ru9gho8YRbH7OrLjZBK5Xg1NfHDpAN74Y3Tt9Srl\nC0YRf+hX9m3fzNB+r6CnXUKyUjAyU0m4dJH3Zi7i/Sebo1LTyU3NJDsrm8W7j9G2QgkUUP2TRW6v\noSJuxuFBmqaN6Nmnb7++g4ea9+z+FbPVTqlyFbhW5LrGv8JZ6Jp/bSDh/Bmmf/IRA5/viHHuMBNn\nLKBdkVgSktKonD8KS3gIuQ4bsYViWPjrYerXuIsqd9dCz1+MnSfjCc9fkBKly4Iy/PssvLlorgwk\nN/03EQQwmf1vcZH58ToL8PZHU6h9TwvOJKZxKdPDL6tWund+PXu0UuqtvJaNiDjMJj31yuZlZnOI\nk+XrtvDIww9xJcPF0p9+5slnXiAh22+umTN5HLVaP4XP7CDXa+D2Guia8PPssTz9+ttE2U2c3rWZ\nxo0aER0WgisrE7vdht1q4cMRwxnw+quM/fAj+g8cxKxZs0hISGD4mwPQclLQMxPxpSRwaO9e1m3Z\nSbf6VfhoxWa6PdCQQkWLoYVFoYVHE+fSmb/iZ0yh4dzT+jF2Hj7JK+2aeQyfN0IplZ338tHe69Kz\n9xtNG9Sz6JlJVIsx8cUXS3i1diV8rlysEU7G/Lyb4f16oRWtyFuT5tG972C2nIpn28ETuEMLkpTp\nxmcoLK4kTiyfyfvjJ5N4YCshvmzaNKiKSrpA+qXzOEyC6CZ2Hz1FRFgopQpfE2TZ5J9kqOwMjh4/\nyd6T5yhRIB81KpTGGlMQvVBJkghl2sKlVK7dgItJaSR7db76dIp3/4aVo5Vh3JLIC3dXKqe2LZhw\n3TJzzQeDbsO3iBs1edUuVapURojDwf59+/hg1CguXTiPLv7zSnTxn1Nw4vhxKpQpCYH4WolJKcRY\nzeSmZuDOyMKTlcPe8wn0frwVjuj8fLFiHR27PoMHjVr3P0Ku0sFsxTAUChMhZetQrP5DbN30C3EZ\nLkrcVZuipcvz/fpNGDYn2J1ooRHkL1aC17o+xshlm7BGhGIOsZHo9rJ43wlOp2USardSJCw0E7g7\nL4T5exwhIc3rNWho1jVYNHc2SxfOxawJFt2frCbxRwLWNULMGk6zxprlS/lm4Rw+7v8iBcniw08/\n5/ka5Ym1WakUHeE32Xl9hJlNKMPgcloWpYoWQswWlGaiRo0aZGTn8urr/Rj09jDGT5/NxbQcDEck\nhi0cCYtGc0YiNgei/fusCMHvkbfqh+Vs+uk7Ui9foNhdtSwmq6PFzZANUKtk4QIZIQ47ew8d471P\nZnDu/EWysnMIDfUvrvoCMctsIU7soWHoWiCWVMB1sGH7rgBYTDpNm7UgItSB3SS4Uq9w5vA+dm3e\ngDM0hBCHnSpVqvDe8OFER4bz9uABXDsrAvhuyx6eqFcJw+OlW8NqfPrTFozcHH/oHlc2haJCOH3y\nOAvnfsaFU8exmTTCo/PlADflQWVzOFrUrd/IcvH8OVatWcv0RcswKb9zieEz/GuPJj3wf9dB0/AY\n8N3C2XitYSSk55KckUt6jgdC83HPM6+Tnu2iVoN72LprL8oaghYeQ1ihoujOSETTqV4sluJhNoys\ndHwZKSRfusClk8dZ8u339PtoFus27qKExcS5Mxd47ZP5XDp3FpWTSWSIlczMDFb9sJz1K5aTv1Bh\nYouXNpmt9pulO/8H0XU0Z8R1U5Bbx39l8hKRMsB0wOR0OkMmfjKBpk2a8OOPK/n2229JqlyZ2nXq\ngCYkJFwhX0w0+LyI4ePChQsUCnfgTs8mIyUDkwJ7lBNN19Ad/sHgzMV4LLv3YNhOsmfvIShWnSt7\ndxFaph5KBU6UC8uPIpdtmzdhbtiQ2s0eYNrIt7m/aSNEGYhmQrPaKVXJRrMG8Xy5+yRtKxalZMEY\nvnn24X+NpNUKxehnUjNGiIgHeD4vTusTkYHAoyaTqVK1atXRRRj+wVgQDYsu/nUm/D+vDjDHDx9k\n3uyZPHLfvXTq8QS++LNM/exzWpQshM1QeADNYkI0jcRcNxt/PcLTLf3h/Ff8epiGITEUjLWSmJ7F\n3AULeXfUGAwlXI6PY/b8z1E+D317Pk+ow4IGaIbPb0b5XSTfAW8P40yqi0kfjyVfrRb4vO67RGQH\nfo+QD/JANqWAGYClTpXyJgyDOndV4JclswgNjyQ+PYesjH+bbXURCpYojS83G7vVgcWkYfEauF05\nbP52AdX7v0241USIRcPIyWD4sBEY7hyqVChH8aJFaPdgc5Z98y2PtX2YR9u388/alAE+A0N0lBLE\nZCbblYvTYsGdm02E3YrP4yU7K4tQqx0jKx3N4aRm5fK88sYgbDGFic90k69QYVNKQtx7eaw7A4DH\ndJO5YuWq1fj+4C6mjBnOgdXLOLpzBz6357cXaDqIhojgU4rIAkVw6w5S0pPxejV0XSPH7SPdncHa\n774mtm1rDh4+wpVsH/ls4Xyzci11yhSlgM0/E1m5dQ87jp/Dlesmwm7BrulUi42if90q+LJzwaco\nmT+KxqWKMPHLFYwoXwm8bkyaxsC3hhGXmcuFDDcl76rB2gXuKgHd+UopNepGZfPHgtNQ5uCu+NvN\nfztDGQdsA6pVqVzZ9nSXzixYsIBFX3xBpUqVOHP6FGNHj0ZDsWD+XB68/z7E8HHwyBGeeGMExaLD\nUT6DgT9tY8KW/eR4vCRmu2g36EMuJaYRFhHJsm+Wsm3zRkpWrsbZneuJ2/IdFqsJXTzsn9yX5KM7\niCleluXTP2Lcm31Iz/XR8N4W1GvUlH2n4zAckWQqC4YjgpYtm3PgYhKGxYxuNmE2m/61lmI2aWHA\nXcAO4KMbFaiI1MJvo1zj8/nsMTHR6AJ2mx271YpJEyyaYDcLIWaN1IRLTBk3ls1rfyLcZmL31o34\nLp1m2MfTGPPlKkrbrBgeL+9v3MOcgycx2SzsuZLKkr3HSPN4MVttTF22jp+270dZHDzXqzdx8fHk\n+iAhJZVunTtSonwl2j7VhQfbPcHr747BsDoRh5Msr/IHUPxt+9E0jSbtOhAZnQ/l8zmAn4DeIlLz\nRuWDX3e2A3eZdS3M76rrw+mwIoaXfOGhJCRcRtdAwyA3I5VixUuyYsZHTHv9aVZMep8DKxbxxbDe\nKFcm+UOtnNm3gx4d2jPynSEMeb03SVcSyEpL4f576rFmzVpmfvYZSjTOnD3HPc1a8vV3K1FmG6M/\nmU63/sPRbCF4lPDE+EUcupKCaBoNyxdn3d6j/lmK24XhyqJobD4uX74MgN2s4wwLs+MPA7490K8b\nQkTuBnoDqwyf1xGbPx+6gM2sc/ZiPKUiw/zu74aBUopst9d/vK+msWHDBmZPHk9oWDhx+7ewa9xL\neLLT0TTh0JJxnNy6Bo/PYMf2bcTFxTHts/kYlhAmzf+KH7ftQTSdT75dy9sLVzLk0Xt546GGfLfz\nCIVCbFRw2Ji6ZiejftpG9pVUchLTyE3NwKJ8ZKUk+73lBJQAaOginDu4G8Pw2YHVwEuB78VNQ4mG\nYQ29bgpy6/hvB5RiwOfAjjq1axERHobNZiU+Pp56dWpjt1mxWS280a8fO3fs4LW+r4PhpUB0JEXy\nRREdFopmMfFUtbK0qVCcE2mZ1KtYigY1KuPxeoiKimLijNl0f6kP2SmJNGjfleavf0iU00qB6HDK\n1GlC2UqViQyxcv/TL1G9yQO4fAZVa9cjX2wsm3bswmcL4+lXBzNq2jzEHkpMdDSjl21EdH+Xr3p7\n1SicX5xWy0FgCVA0D2RaFNgJ/D/2zjs8qmp7/59zzvTJpBISEiAhVOm9KigIVlARFVFRUexiQRQE\nQRQVO4jiFQsWEKlioYqISO8dKaElMb1Nnzll//44Q/Ter94ioPd3732fZz+ZyZzMzF7ZM2uvvdb7\nrtkpKbXCFuVnE0sS+L1VTHv1RSIBP4s+m03vC3uiBr08eNPVtMpKo0mqh29Xr0EKh3miV3scUQ0t\nHKVVWjLtMmujOG30b9eUr0bexOwtB7n1qr4s/3Aat95yMxVBldpp6fS99HI0Q2BxxHH1kKE0btme\nuJQ07rx/BAcOHUG3upj/zTr63vUEIVXHH4ry/GvTiEQiZpMvQ3Bw60aqi/OxexLCwCxMBdZfb9r9\nr6E+MBfY0rll059tIwQYGktXruLQj4ewyRLzZs7g+YeH07BBFkMfGEnLth25e+QYrh44kNvvfYi7\n7htBhsdGSpyDkM/LxDGPkeJx8cmbr/DoXbeBJHPPnXcw+6OZjJ84iYVffEWTpuexeftOxj79LD0v\nvoTrBw1CuBK444ar8EZUMtNTsLodvPPtNt5aug4MgxWbd/HV6nXohoGsKOixRlxZDZtITrfnECaH\n4WysnbrAdmBWfFJy2KoonFaF94VCgOCN9bsJRlWEbrBw3U5mLFiKQKJWrVQaNmnKib3badiyDY0v\nuQl3cjIup5XaDVuS3rQ1teo1oFPvy5i7ZBURTafCF2DpJzMYNvAyhKHTs21zOjTOYvG2H4lz2Bh6\nfhvaptdCD0fJdjnIdjnRQhrLDh5n0Adf0iw9hY279vPclLcJhyOAaRddCNqc3xunJzGMyW/YztlZ\nO78NSUbYnL86/uGf/kbnQul3di38b8bvrfIKAw6A+vXqgjA4lZfPoEGDANi+fQcOu41XX3qB0rIK\nDv1ocuNqJSVw8+UXYTECKFYLPZs3wFA1Pj18ihsH9CazdQd89nh8Pi9WRSY+Lo4jOzbRvVU3wslx\nZoLRItP21ruoOvEj0ZII3tJCWne9AFU30BQ7785ZxI6NPzBi5BNce/1gurRqhrC6CGg66388wagL\n22HEiI6okBHnwiJLcmw+4TM3aY1t4lNrp0ZlSXKCiJVTQ2lxEZs2rOfU8Vzuv30oH7/5Cq0b1gNv\nCQM7NmPr5i0s276Pu9s1JVzuRfOHkK0WrmmRg8XtwOpyYot3ccwXwOFJIPu8lpCUhuGIZ9qr03hi\n3FPEJaUS0gxCmkGvqwajA9URjR59ryA9LY25X6/gsl49sUoGroQEcgsr2Lh1B1mNmpgdCw0DxeHA\nmZiMIz45GvFVJZwD+1AvrVaMF6ODGkWy2ti2aw/BgJ+TR35kyJAbOa9VG2q5bCQ503l87Hgsspl7\natewLpIQfPnZLCpKfuLbzz/FrmASZ2UZEdPx0gQ8/fxL3D/iYZLTMghpBroh8HurmDr5WSY9PQHD\nbtC4RUuev38oU1f+QNvsdO6+tBufb9oHhs6OQyfQbA4atvJQNzGJqC7wR3Tadj2flYs+k86BbRKS\nUmpFLYpkfhtKMlarlaLKSrYXlHKNL0iSpnNB8xyu73sBkUiUNm3acGHfS7HVaUixbqdj3/4Eoya9\noG7vK0lwWdm3+F369DwfVVi59MoBrPrue27s2x3CIFmstGvehHeaZPP2wuUcLK7gpm6tCJd7CVT5\n6VorBS1OQ1cNOiQlYevkpFFKIhtP5rNx7wmymrZAN0A1BBHNoODoQeKSUqIhb2X8WbTPb0OWEbbf\nTWwcyK+T/H43we+/Fb83QolgLhK73WZl2YqVdO3alerqahAGE8eNYczIh5B0jdRayVzQIyYrLcnU\nqZ1CoTeI4rBhi3djT/RQFo6QVjuVk8UVeDwefD4fTz/5BN9/s5RBw+7lyLrlbJ31GmluhVPfzadg\ny6S2700AACAASURBVDe4JI2q/OPUqVufhJRUIpqBP6ITVA3adT2fx8c/w/c/rCezQUOE1c6EB4Zx\nQeumNRGKHtv57zxVTGUo0i02n8iZm/Rn2zjsDpN1DTWVXc3PO49L+l3Cs2NH0+m8bC5q04gkI4Be\nnMfG9Rv4fPVG7mnXlFBpFZGqAGrIVEqv1nTCsoI9KY5lR/O4/S+LeeD2GyGhNo9Meo1JU6aTldMQ\n2WKnsKiEsCZqeqaUBaOUBVWCqk7LDp3Yd+BHklJSuPrSi0GSyalfl6/mzSYxKRndgLBmoNic2DzJ\nVBccSwD6nQv72CyxogBNRRgmofDZh+5k3vSXefutadRLTeLiC3uS6LCQ6LAQb1dIsCsk2mW2fLeC\nF8Y+Roem2Yy5+xaKTh5DioZA1xj1zIt88c33GIqN2+55kLLKShJq16E6orPn4BHKQyrCEc8Do8fz\n9KTn0J2JGI4EevToxkuP3IFstaFYFLo3y2L3sTxG33ApT987lMLSCpJS0whEdSrCKvv27MZfXdXp\nXNjGbje7DwoBKBZqp9Yi3uNi9tDLqZfoQQ9HyUx0k2xXiEbDWG02JCTS6mSy/rN3yEx2USfRQUqc\nDSI+RDREyx592PzDGiaMeoT4+ESqfX5GTnyJ5Ru2Iznd+HQoDUS4uW8Pluw4ZL6+rptHbLGIXo/q\nuAyJi+vXwWO1oEgSX3/8NikpKehCENF0vP4A5aWllJ48mgBcehbt85sQyOiK/VcHf4fYGMNvkfx+\nN8HvvxW/16G4gSAQ9VZX8+1333Nx337oum4mdw3NbOmrq0i6BoYRY0FbaNygPrtOFGJx2Fi0L5cX\nVm9FsdtYf+gkVz0wjqOnCpBlhcSkJBITk0lKTGTn6iUUHz2AJVhByzZt+fLdqVgxuODS/vy4dR2b\nli5CFwJfKExZlZeQJpCsdvpcchlrN2xGKDYki7Xm+EAYZoSiBsI087iJt9t2AIHYvM4UNbaJRCOo\nuuAX1BcAqqoqqZtWCzkawKgqQy8tYP5Xy1m9aRf3dmpBuMKHr9LP6B92srO4HEmReW7tDl5Zu52T\nYZXPdxylX49OWFMzMdwpFJSUU1xWzhUDr2fyC88xcdxoKkIqW7ds5sWRd1NaUYU/olFcVo6mCyzW\n/8s3E0iAVPOlsHfzOvxhlbi0uj5gdWxOZ9U+qmauDWHoplPRVIQaxaEYPDTsJiY8+QRuxSDBLpNg\nV3BIGmFvGc+OG8PWdWtxWyQ6n9eADRs2cNVt93LsVD5IMklJySQk1eKZl17j/It6k55Rl4BqcPjE\nSR4aNoTVq1dTHdGYPvV1DEnhy2UrCct2ApIV2elm0EVdWbP/OD1b5LDtaOx7RpYJhaNY7E6qwlGK\nq/1EUXB54nedC9toqipO6+EJxUaH1i3YWVCG4rDXbIrirFYqK8pxKRLRSJhoOITNIlOrdjpLXh1D\nVe4e4hxWNn78Gms/nkrekYNgseOOTyQ+uRbFpWXExXuIi49HsjmYNHMhj731KXFOByeKKxg2YzHe\nYBihG1SFouia6VBOSxjZFAVNF+ZnG9P5hTWDQ3t30fWGe0jKyPJh5lDOln1+EwaiJir/28E/7tj4\nWyS/303w+2/F7z3yqgWUAt5P5y7ghZdeorikhLlz59KhdQtaNW5gaiQJIybqdbqhvMzjUz9k/8FD\n3NO3E5lpySzZl8v4y3vRsl0b3pxYl2AkynktWtLrsgFUR3RKAipjpryPPxDA5XbjtDTmkWdfpVmb\n9oQMidqZ9amVWQ9DwIdTXsBXXsqkqe8gSQodu53PR29PpU+nVmY1DLAvv4S/LFnPyOYNkcMGPl8I\nRaIsNp+z0cuhxjZer08+fd6+7KsvyDuRy8iRjyHLco3jNQJeXv1kEQ3jnHRITaL/9AW8eVFHEjSo\nZbeTaLchyTIP9+mM32Fl1ob9zHpxLLbaGehxtViwYg3nX9SHgUOG4o0Y3HjnA5RVe6kOq9jik0nO\nqI9is1NeWsyYB27h6edeiOUrDPM9CNPZl1VWkpSSzIypr6LGpdC891X4whq6qgJUngv7VHv9YOiE\nQyFGTZ3J8EFX0KZZIySgcUYKd9x4LU+MfJjLrhhAekYGjzzyCOFQiCWL5rNj6yYO7t8HwqBrx/ZM\ne+4pshvkIKwORo4cydMvvMxV1w6icfPWBFSDoGoQl5LOfRNeomHLtqi6QVrd+jRukMXmLRvZum4N\nP506zsdPP4TF6cIQUBWKEucwIwXJYqO4rJzHH34QEtKo1a4X+QU/gaRUnAvb+H0+RTMEcZ4EPpm3\niKKjB6gK61jdDvO4FmhVN5U9P+bSu1VnTp44wQ1XXMzYaTPpe90t7N38A6m1U3HZFHreeDcWm51o\nZRG+QIChD48BxUIwHOWFMY8jByuRgtU8cvPV+EpLOZpXQL2kOPyyhKLplHgDDP9hK/fnNKDzL1TE\no4aB3W6Lfb4l/jL1VcL2BI6cOEXrzOao0Sic3bXzmzCd2e/m1C3iFyS/s0Hw+2/Fv+xQJHObn4rJ\nKi2WLRbS6mRy8MfDOByOmi8qyfi5qd3YSS/TIKsew28YwO2D+mN4uzF95UY0VeXea/rRplULZE88\nPbs3Yv53W2jYsiPbtmyhTk5jHFY3ihamOPdHzmvXCYss0bpjF1PJWNW55LqbUWNiixddM4RowEdQ\n1VkyfxblP+UR57CaCz6mYaUYAqskYagGekClsCpIWNVPxOaTehZsmor5ASosLyuzabFmWUKYi/70\nERiYiei5K75nwdqdzB16OVp1gGEtG5IiWzCEzogWjbHHmxpnzerVZvyKLbz85EP4nUkcyS3hSOGP\nVPhDNDivNbn5xUiuBKKuJCzWeIoqfWxctYwWXXvitNvweNJ56ImxdO3UgZ1rVjD0vkcYMfRaOrdp\nAZJMXkEhaXUyKawKcWDHFppldaAqECXiq7IDRbE5nVX7FJZVINQoQtdN4+gaImqKV8rAeZkpOBVY\nvWIJnTt35s6hN9GyeTOS4hxcfEFX+nZtB4Bid3J+rwtBsRHSBMPuu5+HH32Mxs1bU17tY9eePTRr\n2wkhoGXHLjXinFffOJREh4V92zczbNgwqvKOItkcfLRiPYVVPsZ+spQZI4YgWa1me2GLDVlYiMvI\nIuBMI2xPJhoJHzsXtqmqKLdFdEHHbj1Y9eUCatmsZKTXpjiqkup2YOgG3lCEF95bwMp+l5OWWou7\nH3yIjLr1KAmqZDVtSUrtOhgWmdr1c8z8Y51Mqo/tZ9v2baT27E7drGy+XvU93ZrnUNsGdRI9pMkq\no9/6mlG9O6CXVxMu9xKnwV05DWjhcBNUVZ7ZdZg7nC2plRRH7ZQUhMWKbggUuw1dkmnUqz/l/igh\nb6WNs7t2fhOG4HQ08i9DCBHA7Ct/GrNjv98HDD3zd/ffg98ToZzWiA4Ch13uOL8uRNypUyd55eWX\nyclIBTVEbu4xgsEgrVo0J6d+Bg2yzIiye+d2GFVldGvRBKFFQVaQnW5khxuh2Kio8tI+MYF7772P\nq2+8if6Db2PLt8uYN/Mdpsxdgmyx17wRqyLHeooYqIYgtV42iiQRVHUSU9OxCJ1AZSl79u7D7S/E\n0DUaJnoY170NvoIqAt4IB0urvCFd3wd4AYckSXYhxJmc99bCdE5lmqYaxaXlJCQl0/fKAdgUyZT1\nNwTLvv2efi3rkV9aQYfsOsgRFatucFndNLSQhqxISDYFq9uBLd7NmlPFXN6rG470+kz9+Es+mP0Z\nj45+iouvuZHhQwaR1aItl93+IIf272P3um9odeGVtO59OXFWC06rQqrbToerBvD5J+8zZOCVzJ83\nj9TEBKKqzop1a6jSbdRt2orsLhdzcsqrqBYXZfkFCMNQgYrYnM5olylJkgtQMI8Xj+49esKHYXgc\nisQbj5kySkLXyT1ZQEDVaNe2DU3rp5OV1YDevS9EyLHlqptqu6cJfUKxISx2yrxBJj73AkeOHmXD\n5s1kNWvF0iVf8cH0acxYtBxZsWEVZnWEVZGxxjg4TqeLOpl1aZwWD4Fy6mak07lFE4Zf3Jm9Jwvx\nl3pJrRUhp3FTctr3YFN+FXvKgxQfOejTIqF9mH3IrZIkOc9QceH02qnQdU0/9VMRjVu05odvlvLE\n/UOpOLKHt979iBapHno2rk9cnIu6tZNx2qxYLQrXXjeYPG8ERdK4aNAtGIqF01+xuiEIGYIVc97D\nV5RHj6Vr6H5hH+4YfC0DL+vDhOE3gGFw5MQpspLikENRIoEwaiCMGtToHp+AHjVAkcnwuEhLTeBg\neTUR4SJiyAhJ4vo77mXySy+R3Ph8CvKLMXTNiM3njNfOP4IhBJHfH6H8D2cJvyeHomMm2OoAezZt\n2hgVAvJOnSI7q37NRW/PnM2UGTORdJU7B19Dn26xMnRJNnd7TneNeFtUtnL9I0+z4vuN1E6tRXFR\nIR/O/pQht9yK3SJx1aAbeHHGLOJdTqyKzJ6tG3ju4eGo4SBWWUKOMac1Q6AagqCq07r7hVw/9A4k\n4M133uXFd2eREe9EDYTQgmGi/ii+QIQd1dUC2AdkYn4xnOmqrAKyhBDCarMd2rtnt1lKaZibcEMI\nQsEgo8dPZNO+Q2SkpnB3n05YICaxH5P/V2Rsbhs2j4u5+3OZuGA1l1x2CVpcbcr8YUaNf5aOfa/k\nZFWI60c9i18VLP5sFl7JSVFRCXu3rMcRn8L6rz7DY1NIclqwoZN38jhtG2fz/GP3kFM/k+37DzFu\n8hQ2btlKRnZjqsNR6rftgT+sUZ57EGTlsDD1eeoD1WdoGx0IEVs7G/ceUoXxt0Kn8Jf5S5j68QKM\noI9hAy7m4i6tkKKhWLvesBn9CgMUCxEdBt9xH0u/Wc2zz0/mqaefYfbcBQy+5TZ0IbjsqkFMnTkH\nq82BIsHBHZt54ZHhiEioRvImtXYaxSWlsS6PFvr17MY9112J5HQzfck63vl6Dd/vPEj7zl3ZuXM7\numwjHIxSmbtLA/YCGZgbrN+3Rf4ZNWtHsVgP7dq1C/10ZGu1k5JehzAyo+euYkN+KSsPnOS9sfdh\ntdtAGDFhT/PzsHbxHDRhsOnreXwxZQKhqIY/rNL7vmfod8dIqsIqSWkZ9LjgAh576AGwmM56xNvz\nqfaH0MIRtHAULfTzmlRsMg63jVHdWtG4fh2+P5zPX+YvY+XaDeQ0aUZEMzAEhDUoOnIAZMuh2NrJ\n4szXzt+FIQS+qPar43/44/AvOxQhRBiz7n4c0PfwoUNJoXD4Z1nwGOP62dGPMHXimNjxl24m6A29\nxqHM+GIVU+YtQ3K4sLs9dGjdgoY52Vx0QQ9Wf7uKrLqZuGxWbLKEy26lQVZ97BZTpiQjsy7ZjZpi\nj7VzXTr7fb6Z+yHBYAh/OEpENyMWCXNMefoJ2uXUpWeDDFRfkHB1hIrKANNOnKBUV+MxOzc+BXwm\nhIieoU0/AQZLknRlMBDI/nLhZ5oRy6Oohqlv1rJ1G/7y5lQu6NqZ8xo14GhZFbLt52CxQlV5atte\nCjQNW7ybANC7S3ukhDReeXc2PfpdSU6X3mw9fJK3p77K/pPFpHa5grg2/SjV3Si1slCSMggEg8TF\nJ/L66BF4y4pYsnghg67oi6SFQTM/aF07tmfZ5/Nxuj1EDNi5bQv5J47jD2sUbV2pCTWcLUnSlcD1\nsbn9bsQiv3mYtu53OK8wKRz+eUMvKWaea+Kd1/H6gzebmmNBHyLoR1KDyGoISVd598NZvD79PRAG\nVotCh7ZtKCkr55prriE+Pp70jAxkxWK2n1Zk0jPrIsumCnadjEwaNGqKx+1CkeGT9//Cpg0/EIlE\nELIFIVvMDY/dgexw89qou3lh3Ei27T9Co5ZtOK9LT6yJaeStmY9WXZyIWQE3Dph7hpEtmHyf6yVJ\nujISCmavXDxP0w3TSwnFBg43T99/G3dccRG7C8p5cth1xNeqDYoNWZaRhMBfWcH0cQ8DoFjtJNVv\nQmK9RlQFVcr9UbyajE+DVSuWEYgaNGjchMLKAMJizjk10UOj9GRkRabQH2Tclr2URCNYHFasbhv2\neDv2xDhkj5P6GWmsnvc+pwpLaN2hM0FVp1GXCwlFdYr/eu3cAHx8hrb5u9AF+KP6r47/4Y/D763y\negFIB9p64uOPbN644f9c4HS58Hg8PyfkhUEkFCQQDIHFQmJCAomJiUgWG5LVyhP3DaNhg2w8cXGU\nl5Ux+vHH8FaVY1Nk/JUVvDz+cXwV5VgVifpZDRj+yBM4bFZkWcIZF4eqaZw4cpC5U58jGlWxyhL5\nx4/SpEEWHptEQWERaRYLkSo//vIg7+Se5DzJgQv5R6AT5hnvGUuLCCHyMDu/PQ18eGjfvlAwqtdU\ne+lCkFmvHj5/AGQLLc9rwoHiSiwOO17dQLEpuFw2Epx24jxObB4X5RGD1yaMYtfxIhRnHJt27mHS\nk6PYeqQQpXkfNm3exsaVKziWX01BiR93q0uw1WtFVLJRJ6sBiYmJeJwO9u3aQZN66WbBBDEdK8XG\n9gOH6XzBhZQFo4SFQnyzLvgDUYKFR0PAR7G5jBdCFJypfTDXThrQPsHlPPTD7kMgy0hWG8gKkqLg\ntNuIs1kQ4QCGrwoj4CVcUUqgshxJDZLodpDgtiOpEWQtwqgHhtO9YzsO/XiQivIynnz8MSrLSwGo\nrqhk8rhReMvLsCoSOQ0a8MCoJ3HYLFhkiXhPPC6nG8MwCEc1VEMCuxPJ5UH2JJKQmUXEFo/Dk0BQ\ng89nzcQb1pEsLrA6DwPtY/M5Y2kRIUQ+MB7T3h8d3rMjCuByufGFogiLA1tybUYNv4mx995KRv0s\nJJcHodiwWKwEfNU4HTY88fFkNGhEVDNIym5Gdq+BVAdVKvxRdn/zBXknTlJQWERJIIKOhUfGjEM4\nTP27scOuw6uDxe3E5XIQ77Lh9tixx9sQcRacKXE4UhJYf6qEi7p2JDm9Lvk/FZGQmk5xRRW71q4i\nFNUJFOaGgJmxuTwdm9s5g2EIfBHtV8c/C0mShkmS9H3s9v8hO0qSNCR2/+PY4/+R1/yNTSZLkvSG\nJEn/1Pr+XQ5FCHFcCDFQCHFJMBj8eN5nnwbj3DGJA0k2h2Ixz7hP35dkxr70BiMmmMUSN151KXfc\ncFXNrtR8YjOhbxiCqsoqohEzWFC1KAGfF12NIEsSsmxqPJ0Wn7zoqhuolZ6BYrFSfDKXL995BY/N\nwrpvV9Lv/M54i3/CiU64vJpgWZAPDh3jYiWejSFfIITxoRCib2w+J3+PPX7FPm/E1E1Hn8g9ouQV\nFBDRDDRDoOmCjLr1OVVQiJAV7G4PESFRomnc8uX37Kz0kpTg5pnLulMvvRa5vgDNm+QgXAnM/Wo5\nlwy6ia1bt1Ba6SVfj6fEp1BZUEbJ0UPk79pFZYkff1WYykCUiKqTu2cHY597ibDfhyQMel09hJ+K\nik27KzYMm5PVa9fTslMPTvxUzL7du6gIGlQX5hOp+EkBRsdKLd88S7Y5EbN1P3848vG87zYHTWci\n1+iKSbICho6IxDpN+qsY++pfeGD8ZETQzw0Xd+fOq/shRf3I0QByJECzrDqUFReSf+ok3uoqtKiK\nIoOu/7x2HBbFzJ0oElbZHENuupkGDbKpk57GA4+NYdwr08wyc2cckicJIy6FN2ct4spBQygPREio\nUx9fWKNk21dRtMhHQoh+sfmcOEv2efP02ikv/ominwrIys7m+Kl8hNUOTg9KUm3khBSUhBQkVzyn\nisqY8f5M1n63mpSkRB5/5kWqCvMI+6qIagahqI4/rBFWdfy+avxeLymNWnPw0GH84SgoVrYfzUfE\npdCibTsOl/nQnXYy66Ux6fIeZGYms18Nc+vqzVRaTS7U2iMFXHjhBQQMC5LFRlDVqaz2Urd9T6pL\niwiX5SnAmNja+XUZ4LMIXQi8Ee1Xxz+DmMbc6So7+JnsOBwYEPvdNbH7c2OP/6dec9om9QGrEGIE\noEiS9A/VIM64wZamqrO/XLxYSkr6uZzwkScn8OYHn9Q4ldOKrnfdfL1JxotB6GY4unXPAUZOetXk\nsQDx8R7eee990upkAFAnvQ6Tp82gTqY5HyEE056fwP6dZjt4RZJo1rYjG76Yw8UDb2TA9TeRYJep\nKish3WNn0VfLCXj9vPDNZjacKCY5IiHpMttVnyzg0zO1wW8hdgSycOnCzyJh3SCqG2xY9wNPjHyY\n3OMnEFYHkiuO9NqpSE4HYy7vQYfG9bB5XGYy3uPiyz25HC+t5vPVG7A4nJQFojS7+FoaXv843oog\nJ9YuJSp5MOy18eYdovLofvLWzif3q/cQhkHni/phkSV2bt/K9Vf358kH7yK9dqr5f7E4OFZYQUJK\nLUbcOZTFn7xHcvPuVPsiFG1aGhFCzDsLxzi/CU03Zi9YvVEKG5IZqVpsPPr6+7y1YJlpv5iApRHw\ncmffLtzX/0KM6nL06nIMfxWGt4KtW7by2IRJGCE/I4bfyoplS3j3vQ+oVy8TRZLIrFOHl9+aQXZW\nFhYZFEkwZdJ4dm/bHFMuBm91FYkJ8Qy/bSi3Dr4u1obYhWH3sHb3IQ4czuXdGe+wfsMGGnTtQ0WV\nj3DJCYEwZp0r2wghIhLM/3L+nEj97ByOnszj+807uWr4o3ijBpIrHhxuhMVBRr16DB0ymLqZmTgU\nGY/dwiVXDcKpSGxb8C4/7dlQo9Bcr9cgcvpcj+JO5JsvF9Hjmpt5YfpMZs6eR0FQ8N2Bkxg2By+t\n2oY9JQFn7SScqYl0PC+bh/p0IjurDht/Kqdj6xYonmTmL1nJhvXr2bR5M1u+/xY5qS4FG5dGMQUh\nzymZ8ZfQ/34O5e8SGyVJkoGR/LUe25/dPfHPvOY0Mn9x7d8+9qs4Y4di7sykzbt27Yxlk2XatW1D\nh7Zta467Jrw8lSWr1tCkQX3aNW9i/l3MeQhdR1NV1GjUzLFgChRWV1cjSzEaiyQRCvqJ+SVTcTga\nIRwx16ssQWpaOg8+/RLXDLyWbu1a8sbz4ynOP4lRVcTuvftpl5xAbaGwOq+YZsLN3OpyXcDacx2K\nq9HItIUz31Z9oQhhzSAjqwHtOnZG1Q0Mq4v1e45wqKSKN9fuoc/5baiVlY67TgqOlATKJYHNFYdk\nd7Jlz0G69erD2rVryMsroKLCR0VeMeFAiFBIJaIKdGsihjWO0E+HMLQoWqCKQGU5igwnTxynZfNm\nDOp/OUKxMeLZKXy7dS8zPv6US68dgqd2Ju66TakwXASqgpRu/dzA0Kb94xn+fgghTkmStOHTFWt1\nsyzXSrvzGtO+aQ4Ac9ds5YLHp/D0h4vJ8thpneYxnYm3HKPaHNHqcqLBAER8JNgVXFYLR388gO0X\nbQL0UNC8HRPm1NQohmYeiyrSz++nS6cONGvWjCVrNvD45KmUhAwWL1/NFdfeQFJGPb5b/jUVEZlj\n33+pI8k/xI43zxnUaHTaJzPeUutnZ3Mk9xg5jRrTpVMHXPFJCMXGhl0HGfHU8wgkht16C4cO7jfb\nIigSDeplsuWrOSiSgSw0lFjxihoOEw5H8AkHTfvdwJq1azlaUsXdj43j2Ven4TOs2DwJ3Hz15Uxc\nvhkpJZ64zFRSs+sw5NKuHFU1xs/7llr1s9FcyWzfvZfm7TqguBMpOHWSSl+IgrXzI0JXz3lU8kvo\nuqDCH/3Vwd8hNkqSNBT4EmiCyTVpI0nS5fz7dE/8M645jYJfXFvvbx77VZyV9q6hUPDZRYsWdX39\n1VccVlnmliE3IukqIqarZFEsWCx//VLhSITZXyznpiv70K1VM7q3b41Ax1DDnDp5kkv79uGzBYuo\nnVGXosIiht4wkMcnPkfbLhcAMiPGP4+qCwLhEGu+WkTv/gNJdLlIclqRIn4qiotoVi+Nzz6bz6WN\nMmjoD7PPF6W7HMeWyjDbqQpriOfPxvz/HoQQW51xnkMrv1zY4ZrrbqR2nUzufugxdm9ay1ffrCEj\nMQFnfCJP3DWE59/+kF5N69OnRRZfbjvI55sP8uHkMcQ1aMH46Z/QpGUb9paF+XHtbALqKlQpASWp\nMf5dCxERH5bmA5AkidQeN1O/zXmEygsoKTnG3h3b0DQNq92JUE1ms8uTyL5j+dRr1JSINQ57cm1E\ncn2qvWFOfjsHhNgnhNhxru0TDEcmTXzrw663DR7otsgwdEA/M28S9HIgr5hL2zfFociMnrmY85vn\nMKBrKyKGxGc/7GDIxd3pnJNB15ZDkaNhpGiAjq2a0bdvX9asWUP9nEYUlBZz/TVXM/aZ5+nWsxdC\nSDz9wksokoSmRnj/7Rmk1a5t/q9kBSQ7zoQkLA43E1+eysNjJhCxuNDTG6E07sKxygAnVnwYFVrk\nuXNtGyHE9jhP/MHlS77u5PX5yKxbjycefgBJNbs3WqwWrFaTZ1W/fn0K8vOxKRL7d24hEBU0Oa8F\nLes2pkpOoLAqTFQzOLDgdWwuD21vfBh7vJ1V777B8o8U3py1kBuH3c3m1St4ftKzKL5i8ssqeXTu\nGhqlJVE7IY4TpVWkp6XS5/yuuFLq8PXarXTt1ZvGnS9k04FcWl81jG+/+gJDUw8JIbada/v8Epoh\nqAqq//jCv4EQ4mN+UTAgSVJdIcTSWC7h37rD4rm6RpKkbkA7IcR0SZJUSZJeAyL/zAbqbPUL/05V\n1cMzP/q45fDbh8o1m75YhPLUo/fHKr2isX4UgqMnTvH2nM/p3uY8mjWIlRtLEpJmYcxD9/LYhOfJ\nSE3BokjUz0xjxKOjaNvuZwXs090gS06d4OvZH9CxUxeyWjTHbZWZMW06r054HFf5cSa+OIVHWzcm\n72AhR8q9XCiSOEi1ocNeIcTaszT/v4twwD/yk1efXdr78gGuOLuCXZHocn4vnntqNJPGj+XlNi2Q\ng5W89tRI1qzbxJRVu1i76yDNcrLwpGWi291ENQMDiUO7ttHi0sHklYYo3LMd3Ak4srqgB6uwOOOw\nOj34Dy0loXsbstNy2LnjW75eNJ+66bWJ6AK71YWwSQy6aShzFnzOLSNuZ19BGaktu3EyGo/3ax9Q\nMAAAGXxJREFUVB4V2xdEhRYZ+UfYRgixJjEh/sB7877qcM91V8i/LCO2Wa08fEU3XLEwYtXeXB7/\n8Ctu69OZGUvX0bVpNuflZJnHd1ZTXqd7m+ZMHD2S6W++waTnJ5OZns4jj42iS+fOKJKEjkDGjEyO\nHT/GZ3M+pXGjxtxwww3USk7C5/PhiwqqAmHue/QJcLgprQ4z+81XaTX4YXav+MgwdPWAEGLNH2Gf\ngN838tkJ45YPHTrUdbqCUhJmNWWn1i3o2L49wmJFyDJSLAf19eeLUA3B7Y8/w9KV35DQKBVfWCOq\nGdTtORDFZieqGfjCGj1uH4VRfIzyQISmWQ0RFit7TxTSOjOJ1XuOkpxai4dvv47yah+ZddKxJaYg\nPKmUGQ4+e2Uq9z85kWMVIZZ9NpP03kM4snh60IiG/pC180vohqAicKYFmiCEGBT7+bdkR4QQn/J/\nj8j/E6/ZGBsIIcbwL+CMWgD/1RNJUlu3273+x317XKlJCUi6aiq/6lEkTTX1vQzNJKVpGkKLokVV\nLKeDLlkhrBk44hPA5uZUuZfX3v6Aa6+/gU7dehBQDfxRg0BUpzoQRLbaMYRAliQkQ8PjdOC0SBze\nvZW8Q/u48/LujB/3NNc3SMOSV8Irq3bRJuRgR1WEORQENURXIcTeszL5fwJ2p+vrAbfc2WfE6PGO\nRIcVl1XGV1bMzBnTeXHCkygRL1LYh6yGMCIhdF1HcbjAmUBJVOb9uV9w2eDbeOHFF2lw+e0c+MnP\nyV17CAQEqrCiR8MoNgcOhwWnzUfnnj0o+eZDxox9inSPlf1b1iMbOhde2Iv3Zn5ISWU119/5IPne\nCG++8jxJnfuT77Ow/9PXQpW7l68ShjrgH8/q7ECSpDZxLteGIyvnuFIcCiIUwAh6yT2Rx4wla7mu\ne0uOFpZzIK+YZnXTGHxhJzRdx2K1mrkXu4OIYsOVVAs5PhnDkUBRdYjnXpvGc5NfxGJ3EtbN7o+h\ncASHw1HTVRRdo6yslMULF+D1enG6XHTs0pVW7TsT1KAipPLjqUK27dlPuZLMwkcGBI1ouJsQYs8f\nZR+X2/1lu7ZtL/vuq4UWKexF0iI1ShTC4sBweDBsLp5+/iUeHzseX0TDHzWoCGt8NPN9Upq2I2RL\noiIiUR1Ua1ooO20KtePtBI5sJTs9hb7ndyU93sHUSRN47ZmxCF8ZUtSPctrJ2xwYNjcReyKPjnuG\ne0aOJmRxc6wyyPLlK9mx4YfQ4ZVzV+nR0B+2dk4jMfs8ceG4mb/62BfDu/2vBfAfhDPOoZyGEGJX\nJBKZMfyee73C0H/WiTIMjp/Kp6yisoajsmztRtbt2FvjTE5LmF917xO8/dFnSFqY+inxvDL+MRbM\nncOKr7/AoUg4LRJzP/gLY++7HY/dQoLDSrzdQpLbyY87t/Dt14tY8cVChvW/iGWff44jGsJZ4eW7\n3Sfx+AUHq1S+o8yrI6b/kc4EIBoO3fPFRzOiu3btIhDVCWkGCalp9LtiAHc99BhRRyJGXCqVws6U\neSvQXCmIuFoYzgS+WrkGn9/PvTddy/V3PoBb95FVy0Vi7XjCuSsQP60nsXYyUsUeChaPxRoqpm6y\ni8bNmuOyW9F1nd1797Jqzfc89cwkmrbrTJsevTlZGeREeTXu7FZU6C7KDu2jcs9yA6Hd+0faRgix\nOxyNvn3b6Oe8Qtc4HaXkZKbTv2srDhZW0iKnPhOGXkVKSjIbDudji4tHtjuR7GbuZeDjL/LWnMVm\nBKyrpCZ56NalIzM/+AApVhE4c8bb3DV0CHJNLg5QLJw4eZIGjZvy0ONPMuy+h0nPasSh4yepCKkU\n+0Ks/GI+7qzmfD99vNfQ1L/8kc4EIBQM3rtt27bIju1bTWeiBpG0CHo0xI7de8zIX9dQVZW335yG\nqqpYFBm7RabvgEHkblrNl5PuI8FpIc5hDrXiJ7TKn7BZZOq3aIdhGDx487UsmPMpHbt2Y9323Uiu\neDSrm6lzvqLSsKHHpeK3JTLsgUcYNPQOhMNDWTDKF7PeJyLZObxijmqo4fv+SNuchq4Lqv3RXx3/\nwx+Hs+ZQADRNG7P2h3UlMz748K8Yw+Mmv8bkN9+tuf/N+q2s2rCtRrDxdG/zETdfy9V9zo+pFUfZ\nv/8A333/A6u//Zbd2zYRZ1O4duA13H7HcDw2mXi7TKJDIdmpsPLLhbz56stMfOB2vEf3MXbah2ze\nl8vxH4tYfayIiM/CPnxGEZFCYRLR/lAIIfLVaOSeCffcHCgoLcMf0QmoBiXllaxdu5a7HniYg/ml\nHC328vnKNRQGNIQjHmF1ciT3GLfcNoxh9z5IrXg3G+e9R04tB74tn+NxyrQdMJgGTdNp2r0H3W55\nhJ59+5G//isuveIKHBaZstISvvriC/peeTX3Pv4UuBIZde8dfPzu23w5ZxZktqaisIQjnz4VxNCG\nnSW+yb8ETdPGrdu+p2j63K/NtRPjpLy7YiN7TxXRqlkjFLeH1XuO8u3+XCSHy+SKONxIDjcP3nQN\n11xyEchmZeGBQ0d58dUp7Nu3DyXWannAgKsYNvwus+RcNlswCwGrVn7Dqm++IaQJAqrBG6+9yuSJ\n4ykLRlnzzXLSm3dgw+ezjLIju4ow9LF/tG2EEAXRaPSOgTffEfCWFSGCfoyAl9Xfr+f2R8ZQkJeH\nrEcpLS7i6y+/oLK0GJsi4bIqZKQkkJwQT4sOXchIMiXta8fbyV/zGbkrZpEcZ8efd4Ts7CxuHn4f\nffpdSr9LLmXd+g2g2Cj2hli47FsOF1aQVx3l/kdGsXXrVg4eyaU4EOV4YSkV1X6WvPRIwNCid5/r\nIpe/YyOiYe1Xx//wx+GsHXnVPKEkNXK5nDsXfvJBXJ8enUGLUlBQQJzdQpLHhWToZo8FLWoKSf4S\nsmy2pLVYzNJNxcapkgoy62fzylszyKhXn+sG34QuTPawJAS5Rw6zeOF8XDYLI4ZchVJ+ipGTXmNw\n0/oEj/7EjHUH6KnHs7Lay0pK/Rqizdno/f174fLEv5vdtPlNL3+4wJkS58Jpkfjp2GGaNGnM/Fkz\nKS0qov+VV9CpQ3sUWWLfgR/57vsfGDr8bvxRA29EZ9fBQ5RUevGpBlJcLSSHyUVy2RSsRpRwWQHB\nopMMuvY6HBazjz1ARDfwhnXKglHWbdrE0RMFWHI6kV9Uza63Hg4Fi4/PNqLB4X+WbSRJauhy2HfN\ne/ahuD5tm4Ghk19ejdvpJDk5ydx4nCZBnoasIFmsYLEiOVwIqwthdyOsLlZt2MLW7bt45LFRCCEw\nMM/awayTNIR5X4s1horqgrBmkFdcSnFFFYUlZYRQOHb8JAsnjfDpkXA7IUTun2IcINET907LRtm3\nLJ8y1mmzWhFWO4eKq2jeui3C5mTL/qPsOXSMwUNvI6QahDRBUDWoCqts2LCBsGQhLjOHsC7j93mx\nKzKJbivr583kwVFjSHXbibfLRL2VLJo3hwfuuqNG4mbdlh0s/vJr7h81hn0/HsGV0YD8sirWfvcd\n3879IFR24vAsNej72z4jfxjcGU1Eszt+vbBsx6TL/uGRlyRJ44AcIAmzDXMlMB2IAmuEELMlSRoC\nXATYgdNR/H/cNbH80Wm7TMbUbwwKIUb/PRvCOXAosTfR0+12LVs+Z6ara7tWNREHhoYkxM8OBUyn\nIstMm7UIl9PB8CHXmklWxWY6FYvVvC1bWLtpC9+s/p69+w+gqSod27WhYVZdru7dg0SHhFZ0igmv\nv8PlOXWoE4jwxff7qcz3sb86yhJKghqinxBi/Vmf8L9mG4vd5V7WpmvPHuOmvutMdNlJcFixx0pc\nDU1l/Xer2Ld7FyCI93i48qqreXHyZEaNm4g7KQV/VKe40sv8j9/H4nBRUVpMq249KT6RS0VhHt6y\nYu59dDTZDRrUHO+ousAf1agIqRw8fJTliz4j69JhnCiqZveMcSHvsZ2bhBbuK4T4U7UqJEk63+2w\nr/j6pVGubq2axjYYVqRY0p3TTkX+mRD71pwvsNnt3HnLjbG2r3EcPJ7Hx5/OZdyEpxHSz4H4rI8/\nwu/zMfy++9ENiOrir5yJP6pRHdb4qbySBTPeIKPt+cweNzyohUOXCCHW/Rk2OQ1JkhSP07HswrbN\nzp8zcYTT6klE9iQiOeMQtjgMm5Op782iQ9fudOjclZAmOHriJK+9+DzDHxtHflEJyz6fT3ytNJp2\n7MGWlV/Qs9/ldGzfniSnFd1fxYvPPEX/Ky7HbrVw+WWXEY5EeXP62zjjPAy66TYCmkF5UCXfG+aD\nKS9ydN/uUP6+7eu1SPAyIcSfFg440xuLhje//quP7X+1/0lMgcrTmPG3PVEkSZojhLhRkqQbMfXm\nPECViHVxFELcIEnSfCHEdbEKqeTYn/7HXSOE+CRmk/rAQ0KIkZIkvQy88Y8qvc5WlddfQQixVpKk\nay8dfPvCz9+f5urdtV1N/kToZr6k2uenpKKKxjEV4tN96H+Jk3n5jHzmJSY/9QQNc7Lp1aElvTq0\nZPb8zwkGAtw9+CoI+Tjy424CWpipsxbRN7sOGWGV8hNlrM8vJSNqPe1MrvmznQmAEEKTJKn/7k1r\nV06479YOY6e869ITPLisMk6LgkW20OPiy0ivm0Wjxo1wORwUFf6E3W7HYpFRJLBbZOokJ+C2KkTD\nPu5/7ElkWULpeQGRgJf3Xn0Bh82UFPeFwxzLzSW9QWP8UZ0Kf4hT+QWcd+XtnCzxsWfGmKD3+J7t\nQgtf/mc7k5h91kmSNPDKJ15eNH/yaNfFF3QxE+82hxm5SjLVviAlFZU0jlUH2lxu7HY7QjE3H2HN\n4JUpb1BRWUXuseNk5+TUPL/dbicajWIIMyo5fvwYcYnJWF0egqpOUNXxR1T2bttMZqvOp53JwD/b\nmQAIIXRJkgZ8t+vg8kHjXu80Z9JIl9tuyupLchhJkhgx/FZGPf08+XmnuHrQDSQ4bcQ5naS47NRt\n14ZWLVoS0nQ+fvNVEpw2unXsiNum4LbKqDYLbqeTzLr1+OjDmazfuJmq6iruuu9BMrJyCGkGEU3g\ni+ocOXiQ4/t2hvL379ymRYL9/0xnAiAMQTj4m/mSsn8iKf+dJEmrMdMA/YEHMIU/4dcJgK1jt/9T\nr4FfJzb+XYdyVnMov4QQYnkgGLz86mH3+//yyTxDGLpZ7hjDlI8W8NiL080IxTC4c9AV3HTlxQg1\nWlNinOS207RBfZLdNqRIADnsQw5WMvSyC7irfy+M0jy0whPcNuYFBj7xEoObZNFIgC+/kjn7jiGi\nhjEjVOjXEJcIIVaeq7n+qxBChCPBQN+D2zevGjmkfyj3xEmqwxpVYRVfVKPSF2TEvcNZsHAhIc0g\nsXY6z7z0OvFJ5gZDkSSsikTDRg1p1KgxcXYFl1XGZVVISUrmiUkvk5hWh6Cqs/TLxUx46C7Kq334\noxpzp7+Cu04DSouLWTv5zpD35L4VQg1fLEzRz38LCCFWBEKRywaNftH/zuJVBi4PwmHuwoUtjikf\nL+DRSa8hLA6ExcGdN9/ILdcNrClTP5WXR5dOnWjWrBnJyUl/9dzXXn8Dtwy7E80Q6EIwcexo3n3r\nDVTdIKIZhDWDzWtWsm/TWmP2+Pv9ajh0qRBixZ9hh1+DECLsD0UuWb/vyMpe944P5eXlm9G+HkXS\nVVR/NWvX/sDWTRt4fuJ4aiV4mPrGVLIyapNgV6jlspDhsdO+TStat2hOktOCyypjVyRqJSfxymuv\n07Zde16b8gbNmrdg48aNJKemmbJBsX7xhQX5vP7wrdG8g7tWauFg33+HtWMYOtFg4FfH34MkSUMl\nSZoCXCeE6A2MBe7g349s+P8FsfGcHHn91QtIUmO307msd7cOqe89NyY+JSEOYej4fH5KK6vIyUj7\nq+s1A8q8Puqkp9fofJ2OaopKSkmJc6EYKkYogL+ijBc/XkS8LDGoaTZKlR9/YTVbc4t4/uChcKEa\nzYsiLhdCHD2nk/ydkCRJttrsTypW6+gHn33deeFl/WVHrDqn6MRRcnJycDnsNWxuSZIoLi4mLiEJ\ni9VU0z2dB4iqKtWVFaSk1kbVBaphoOpmW+TjuUdJzW5MWVU1e7ZuorSi2lg29amQrqnPC02dLIQ4\nU9n1cwJJkhq7Xc6lvbp1rv3e1JfiU1JrgyTj83kpKy0hp27GX21SVENQ6g2QWqcuj44Zz7jxE0hI\nTkE1BCUlJSQkJqFYLDUinVFdcDQ3F3dCMrIjDl9U46fiEl4aeY//6N4dRdFw6HIhxJE/0QS/CUmS\nZLvVMtpqtTz5/sSRzmuv6CdjdyIsDg4cO0VOo8ZU+kJMe+9DMurWY8jNQ6n0+fAkJJmFC5hrx6yc\n1vBXV1AnPb3mG8YAQuEIh48cIadJc6K6QVgXfLH4c+O5UQ+G1Ghksqaqz/+7rB1rUn2R0vvX6S/F\nix7+Z3Iok4FETJHYZ4CjwJtAGFj3i1zDBfwNSfA/8JrW/ExsfAEztxL5Zzgp59yhAEiS5LRZLZPt\nNtsdrzx+r+vWAf0kRQKhxZitvyCzTZ+/lLkr17Lmg1dqesBjGAg1Su+7n2Rgz47c178XucdPMnXh\nSh66qANJuiBYUkl1QQUfbDtsvJd3StWFeFs3xen+9N3TP4IkSd2tdsdn57XvknTf+MlxTRs3wmWV\ncViUmP6UVCM7c/PVV3DRJZdx8/D7EZjOxBCCzz54h2+WfMGMBUtiDsXsDR/WDIKqTll5JUs/fZ+j\ne7b7TuzZWqlFI4OFEBv/1In/E5AkyWm1WiY77I47Xpz0tPO2G6+XFXQkzdyR/7KN8fSP5/Hp4iV8\nv/wrqoNRXpwyjYmTnkM3BJdd0o8r+w/grvvuRxc/986J6uaoDkaZ/+nHxjuTJ4TUSOQDXdeeEGfW\nLOsPgSRJ3Zx222fnt2+Z9Ob4Rz2NGjWsOfoTihUsNo6cLGD2gsV8Om8hN99yC489MYbTrakBPpjx\nDovmz+Pb1atrPnMC00FrhiCsCY4czeWpxx/1bd+8oSoSDg8WQvxfifE/EZaETBHf7e5ffaxyxYT/\n8VD+IPwhDqXmxSSpQ4LH/X6829Xw6buHuK+7sItkt8SiEENHkhX+X3t3F9tUGcYB/P+etmvPadlp\nGUMGgoNR2UaGExjyoQZ1kAnqhdGoIywxIHqhEAWBCImJgIhwwUiMiYEYUafAQBI0YKLBaAhdy4aA\ndHMjiLAPGLCdrh9n7ek5rxdnjI/I3VkZ8PyumvTi9GmenP9J+7zvq0TjaDzfjhklE8wgMXQgrYGn\nUzh6sgn+4V6Ez7Xip7pT+GDeLPCYisilLuwNNRrVoXAiqmnnVMOo4pwfz1hhFmCMuRxZzlVMYCtn\nV7zAF73zrruosKh/A0MA0A2gPlSH/HF+uGUvDM77bwo9EQVnm5sxaco06NwMmWth0vJ3E7Z/vKb3\n7KkGbnC+UddSm++GoL0RY2yyLGfvyPZ4xn+4/G33q/PLmcshXB/0EGzoTqTx17k2zJj1BFovd6Fm\nVy2WvbcCnHMcDQTg9z8M2efrC2LzhhlN9GL/3j1826YN8Vgs2hKP9izOxJYzVmKMuZwO+/uCIKx+\nsfxxvmrJQnfxBD/gMIdZuN0FI0vEod/r8MOPB1H92edI9z2I2ASGHkXBiYZjCAaOwjB0GLqBYbm5\nWLCwCq3tF7F5y5b4gf37BMMwPkmlUp8Oxt6xeR7grtLK/30vcWQrBUqGZDRQgP4z6edILudagbEp\nleUz2cuzy8THiguQlXX9eN9rix25piGd7MWRU0347UQz0pqGkpG5mFOYj9CZVtQGT6v7TrRwznlI\nTevrAfzKM12UhRhjOYIgLLPbHUsLJhTy16pel2fPrWDDhuf1BQWg6Yb5+pYfG/Qbyr7U0Y4/fvmZ\nH9i1Uzl/ppmltdQ2znk157wrwyVZpq93yt2iuJYxTK18rpy9MvdJcWbZZDiyfTCy3OBODzqjvVi3\ncRM+Wr8BouTuHxm+9vUkUykE6wLYW1ur7tv9PTc4P6YmEutw9/fOUEFgyxx2+9KisWP4Gy/N9z5f\n8QzLe6gAhihDc0hYvnoNNmza0r/Y0yYw/NlQj+9qvsWalSuQ481GR1sbvtm1h3/x5Vfqpc7Lejqd\n3moYRjXn/OqdrvF2GGOHcPtjhq9wzisy+XnuVxkPlJsuzth4h9220O1yLlCTqQcn5o+KTS8uEItG\nj5DyZDeuKBEEGs9C7U0iP8eLHMmF5rbOePCfdrXpYtcQyWE/H09pNZphfH0n1wcMBMaYE8Czste3\nSE0knpZ9Pq1k8lS9cNKj8ohRY2y+nGFwuEQAQFJNoPvqFbRd+FdvOnk8Ej5eb4tGFLtTlA5HI93b\nARziGdxKPBMYYwUOu73KI4mVid7k6ImF/tj0adPE3BEjpWB9A5a8+RZkrxeplAZFUdDe0YGmxnAi\nWBdQG8NhjyhKF+LxWI2maTvv0d6pGJo9ZHE8mXzKJ8vpsrKp+lWlxze3Yh57pLQUHkkCA0ftnt2I\nx6Lwjxur1zc0RIKheluXotgl0XW4W4nsAHDwXusdMnDuaKDciDGWA2A6gBKYW0nnwZwFd8I8w74H\nQAeAFphjb4HB/MRkJcaYDcBEmCdLFsOcuBgO8080DnNuvhPmSF8jgBCA04NhDDgTbukdP8zeyQb1\nzq29U4Sbe4fh5t4J4z7rHWKtQRMohBBC7m4Dtg6FEELI/YUChRBCiCUoUAghhFiCAoUQQoglKFAI\nIYRYggKFEEKIJShQCCGEWIIChRBCiCUoUAghhFjiP5hwK9JxEHMwAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c0de7eed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mne.decoding import get_coef\n",
"sliding.fit(data, categories)\n",
"\n",
"coef = get_coef(sliding, 'patterns_')\n",
"evoked = mne.EvokedArray(coef, epochs.info, tmin=epochs.tmin)\n",
"evoked.plot_topomap(times=[-.100, 0., .100, .200]);"
]
}
],
"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": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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