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Created November 18, 2017 04:41
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IAPS-Decoding.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Decoding the IAPS dataset (neurovault collection id 503)\n",
"--"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reading server neurovault data.\n",
"getting new batch: http://neurovault.org/api/collections/503\n",
"Scroll images from collection 503: getting new batch: http://neurovault.org/api/collections/503/images/?limit=100&offset=0\n",
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]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
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},
{
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]
},
{
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"text": [
"Traceback (most recent call last):\n",
" File \"/Users/nicolasfarrugia/PycharmProjects/nilearn/nilearn/datasets/neurovault.py\", line 1014, in _get_batch\n",
" resp = opener.open(request, timeout=timeout)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 532, in open\n",
" response = meth(req, response)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 642, in http_response\n",
" 'http', request, response, code, msg, hdrs)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 564, in error\n",
" result = self._call_chain(*args)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 504, in _call_chain\n",
" result = func(*args)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 756, in http_error_302\n",
" return self.parent.open(new, timeout=req.timeout)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 526, in open\n",
" response = self._open(req, data)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 544, in _open\n",
" '_open', req)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 504, in _call_chain\n",
" result = func(*args)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 1361, in https_open\n",
" context=self._context, check_hostname=self._check_hostname)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/urllib/request.py\", line 1321, in do_open\n",
" r = h.getresponse()\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/http/client.py\", line 1331, in getresponse\n",
" response.begin()\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/http/client.py\", line 297, in begin\n",
" version, status, reason = self._read_status()\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/http/client.py\", line 258, in _read_status\n",
" line = str(self.fp.readline(_MAXLINE + 1), \"iso-8859-1\")\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/socket.py\", line 586, in readinto\n",
" return self._sock.recv_into(b)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/ssl.py\", line 1002, in recv_into\n",
" return self.read(nbytes, buffer)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/ssl.py\", line 865, in read\n",
" return self._sslobj.read(len, buffer)\n",
" File \"/Users/nicolasfarrugia/miniconda3/envs/devel_nilearn/lib/python3.6/ssl.py\", line 625, in read\n",
" v = self._sslobj.read(len, buffer)\n",
"socket.timeout: The read operation timed out\n"
]
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"Already fetched 5059 images\n",
"Already fetched 5060 images\n",
"Already fetched 5061 images\n",
"Already fetched 5062 images\n",
"Already fetched 5063 images\n",
"Already fetched 5064 images\n",
"Already fetched 5065 images\n",
"Already fetched 5066 images\n",
"Already fetched 5067 images\n",
"On neurovault.org: 5068 images matched query in collection 503\n"
]
}
],
"source": [
"from nilearn.datasets import fetch_neurovault_ids\n",
"\n",
"### WARNING - This will download the whole collection (> 5000 images) , without resampling it will be more > 9 Go\n",
"\n",
"# \n",
"IAPSdata = fetch_neurovault_ids(collection_ids=[503])\n",
"\n",
"\n",
"#IAPSdata = fetch_neurovault_ids(collection_ids=[503],resample=True,data_dir='local', mode ='overwrite')\n",
"# The 'resample = True' option is still WIP\n",
"# The directory with all 5000+ resampled images is about 3 Go\n",
"\n",
"### TBD : provide here directly a list of images to download for the example ? \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Checking whether all images are in MNI "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"\n",
"all_mni = [not(image_not_mni['not_mni']) for image_not_mni in IAPSdata.images_meta]\n",
"np.alltrue(all_mni)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Testing visualization of a bunch of images "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TUE/QigbxFkLfFyfv6YYo9nq8Ff12arCUYvfCp6uUHvCUUbF2rfNyyq+3y52S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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11aa72208>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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46U9/6llaD7i2P8cffzy2b9/uhB9//PHYs2cPdu/e3eB8NxRabJCbm+sZgEWWN2ANYO++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\n/wMO3FEMz1PAFwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f564128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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qLBmf8obsWPg7S0PJtDl7wgQ7bKCQL3Vs3qm6WEfuTp46WgqA3dZvctfei8Xj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\nd/jlDJBkn0J9+fLlby1/jeXs2bP68uWLTCbTL//0Ha5evaqEhASCn79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"text/plain": [
"<matplotlib.figure.Figure at 0x10e3c2a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from nilearn.plotting import plot_stat_map\n",
"import matplotlib.pyplot as plt \n",
"\n",
"%matplotlib inline\n",
"\n",
"# We'll fetch a total of images specified here \n",
"numberofguys=3\n",
"\n",
"for i in range(numberofguys):\n",
" #pick one guy randomly\n",
" im_ind_rand = np.random.randint(len(IAPSdata.images))\n",
"\n",
" plot_stat_map(IAPSdata.images[im_ind_rand],title=IAPSdata.images_meta[im_ind_rand]['name'])\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Preparing the MNI mask subsampled at 4mm"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/nicolasfarrugia/PycharmProjects/nilearn/nilearn/image/resampling.py:510: UserWarning: Casting data from int8 to float32\n",
" warnings.warn(\"Casting data from %s to %s\" % (data.dtype.name, aux))\n"
]
},
{
"data": {
"image/png": 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UkI4TYLuH1BdlrtUtX6qlgSyxQlM3cxsIFIWRSpmjinJyRI6JSCRSZ4ue/Px5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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116ce7f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Preparing mni mask at 4x4x4 \n",
"\n",
"from nilearn.image import threshold_img\n",
"\n",
"from nilearn.plotting import plot_roi\n",
"\n",
"from nilearn.datasets import fetch_icbm152_brain_gm_mask\n",
"from nilearn.image import resample_img\n",
"\n",
"mni_mask = fetch_icbm152_brain_gm_mask()\n",
"\n",
"target_affine_4mm = np.diag([4,4,4])\n",
"\n",
"mni_mask_resampled = resample_img(mni_mask, target_affine_4mm)\n",
"\n",
"# Values need to be thresholded \n",
"\n",
"from nilearn.image import threshold_img\n",
"\n",
"mni_mask_resampled_thre = threshold_img(mni_mask_resampled,threshold=0.5)\n",
"\n",
"plot_roi(mni_mask_resampled_thre,title='4mm subsampled MNI mask')\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will only work with a subset of the images. The size of this subset can be specified here"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"### Generate a random subset of the images \n",
"nsub = 700 \n",
"\n",
"im_subset = np.random.choice(len(IAPSdata.images),nsub,replace=False)\n",
"\n",
"# Parcellate the subset of images and select the ratings \n",
"from nilearn.input_data import NiftiMasker\n",
"\n",
"mymasker = NiftiMasker(mask_img=mni_mask_resampled_thre)\n",
"mymasker.fit()\n",
" \n",
"X=[]\n",
"y=[]\n",
"for curind in im_subset:\n",
" curim = IAPSdata.images[curind]\n",
" currating = IAPSdata.images_meta[curind]['Rating']\n",
" #print('parcellating %s' % curim)\n",
" X.append(mymasker.transform(curim))\n",
" y.append(currating)\n",
" \n",
"X = np.vstack(X)\n",
"y = np.stack(y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"n.b. we could have downloaded only a subset in the first, this would imply feeding a specific list of images to the neurovault fetcher"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's look at a few masked and resampled images "
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Kq15+88gjAIIWoUTIUv/3v/8dgHjQUdt0tS3WeJlxfTZu/Cs6drS1LvKciwWIYzSx5YS9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\noqGRyM+9e7PQvXEi7dGvHe7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m2rRI0xU5VGYVG9c5UsBEvh+8LWM+6+vWfeAMbKTDHWoh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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11617aa20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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2mydjUaS2E73pm4DL43Z0DZa94pvUHB/mBa6LaK68zP6T9+8HEOogjqRcMay6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\n/56Z8ctfGuWMjLW0P6/tHQNQZv2fgs0R92cPuLB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"text/plain": [
"<matplotlib.figure.Figure at 0x11604b8d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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GPD5P4bSlVBhmbeykJWi6AkWpbcTQAJTYHSDRjFSHBg0aOPbcWbPi5qXFXhG8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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115f535f8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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b4zx2vLyRx/sCP4uYYDDomg0mEe82bdoYGqhP6LP/Cs1EFE2TRLRkhuL/o3NTvxWOCSCJ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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116f74518>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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9Gyo/+Y31TqCWBvAvPfESTzxFuwcOzAy6hAY4jaXO2DhW/J/5vnJVbA75fVu3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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116059f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for curx in X[:5]:\n",
" testim = mymasker.inverse_transform(curx)\n",
"\n",
" plot_stat_map(testim)\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Decoding test using Feature Selection (2000-best using ANOVA) and SVM, using all rating levels. \n",
"As we use the SVC classifier, it will give accuracies for an average of all OneVsOne models"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.50704225 0.55714286 0.54285714 0.53956835 0.57553957]\n"
]
}
],
"source": [
"from sklearn.feature_selection import f_regression, SelectKBest, f_classif\n",
"\n",
"from sklearn.model_selection import cross_val_score,train_test_split\n",
"\n",
"from sklearn.svm import SVC\n",
"\n",
"featureselet = SelectKBest(score_func=f_classif,k=2000)\n",
"\n",
"lowdim = featureselet.fit_transform(X,y)\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"lowdim_sc = StandardScaler().fit_transform(lowdim)\n",
"\n",
"cvscores = cross_val_score(estimator=SVC(),X=lowdim_sc,y=y,cv=5)\n",
"\n",
"print(cvscores)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Chance level should be approximately 0.2 because there are 5 categories, so it's quite good. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's see what happens when training on only rating 1 Vs rating 5"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ind_lh = (y<2)|(y >4)\n",
"y_lowhigh = y[ind_lh]\n",
"X_lowhigh = X[ind_lh]"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.82352941 0.80952381 0.82142857 0.80722892 0.8313253 ]\n"
]
}
],
"source": [
"from sklearn.feature_selection import f_regression, SelectKBest, f_classif\n",
"\n",
"from sklearn.model_selection import cross_val_score,train_test_split\n",
"\n",
"from sklearn.svm import SVC\n",
"\n",
"featureselet = SelectKBest(score_func=f_classif,k=2000)\n",
"\n",
"lowdim = featureselet.fit_transform(X_lowhigh,y_lowhigh)\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"lowdim_sc = StandardScaler().fit_transform(lowdim)\n",
"\n",
"cvscores = cross_val_score(estimator=SVC(),X=lowdim_sc,y=y_lowhigh,cv=5)\n",
"\n",
"print('All Folds : ')\n",
"print(cvscores)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Decoding accuracy (5-fold) : 81.86 %\n"
]
}
],
"source": [
"print('Decoding accuracy (5-fold) : %0.2f %%' % (100*cvscores.mean()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Features selected by ANOVA"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SDOHO0cBut0uvxCZNmsi/lBSdeEB4vP766wG3aSi2F4zdAUCnTp3QqVOnqJXD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\nEvm6XC55TLNJYdTf6TalpdQ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MSQllfmAmklit1pB1O+sSsZrUTPW6c7lc0jvPbAIeM1q0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nfP06VNc6h2cm5uruW8PnHGGZZt6aWvk9fh8HsuTcLnv+OqVq0s6zr5lPLycvMa0kla8HKejq0b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\nXboUN/7RG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x8sWgrl5eWW8mbNmmHKlClo06YNvv76a7Rt2xa5ubkYMWIEBgwYAAD43e9+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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115802860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jOWcZLU7QBwrHBFb7ie3lV197zQkscQeqisSfMa+oq/P8FnUMhPnDMcnTLIeEkBJk4sSP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115bbc908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pvals = featureselet.pvalues_\n",
"logpvals = -np.log10(pvals)\n",
"\n",
"plot_stat_map(mymasker.inverse_transform(logpvals),cut_coords=8,display_mode='z',title='2000-best features (ANOVA)')\n",
"plt.show()\n",
"\n",
"\n",
"plot_stat_map(mymasker.inverse_transform(logpvals),cut_coords=8,display_mode='x')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 343., 0., 70., 0., 0., 105., 0., 106., 0., 76.]),\n",
" array([ 1. , 1.4, 1.8, 2.2, 2.6, 3. , 3.4, 3.8, 4.2, 4.6, 5. ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 110,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x116ce7c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(y)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [],
"source": [
"pics = []\n",
"for meta in IAPSdata.images_meta:\n",
" pics.append(meta['Picture'])"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 2053., 3051., 3102., 3120., 3350., 3500., 3550., 5720.,\n",
" 5800., 6831., 7000., 7006., 7010., 7040., 7060., 7090.,\n",
" 7100., 7130., 7150., 7217., 7490., 7500., 9040., 9050.,\n",
" 9210., 9252., 9300., 9400., 9810., 9921.])"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.unique(pics)"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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]
}
],
"source": [
"\n",
"for meta in IAPSdata.images_meta:\n",
" print(meta['Holdout'])"
]
}
],
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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