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@sylvchev
Last active April 15, 2022 14:16
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Building extended SSVEP covariance matrices for EEG-based cerebral interfaces
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from numpy import nan_to_num, array, empty_like, empty, vstack, concatenate, linspace, tile\n",
"from scipy.signal import filtfilt, butter\n",
"import matplotlib.pyplot as plt\n",
"import pickle\n",
"import gzip"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Building extended covariance matrices for EEG-based BCI\n",
"\n",
"## Loading EEG data\n",
"\n",
"The data are freely available from [GitHub](https://github.com/sylvchev/dataset-ssvep-exoskeleton/). The stimulation onsets are indicated in `event_pos` and the stimulation of `event_type` are coded as follow: 33024, 33025, 33026 and 33027 denote respectively the resting class, the 13 Hz, the 21 Hz and the 17 Hz stimulations. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"with gzip.open('./subject12/record-[2014.03.10-19.47.49].pz', 'rb') as f:\n",
" o = pickle.load(f, encoding='latin1')\n",
"raw_signal = o['raw_signal'].T\n",
"event_pos = o['event_pos'].reshape((o['event_pos'].shape[0]))\n",
"event_type = o['event_type'].reshape((o['event_type'].shape[0]))\n",
"sfreq = 256\n",
"classes = ['Resting', '13Hz', '21Hz', '17Hz']\n",
"channels = array(['Oz','O1','O2','PO3','POz','PO7','PO8','PO4'])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"labels = list()\n",
"for e in event_type:\n",
" if e == 33024: labels.append('Resting')\n",
" elif e == 33025: labels.append('13Hz')\n",
" elif e == 33026: labels.append('21Hz')\n",
" elif e == 33027: labels.append('17Hz')\n",
"labels = array(labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualization of raw EEG data\n",
"\n",
"Plot few seconds of signal from the `Oz` electrode."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_seconds = 5\n",
"time = linspace(0, n_seconds, n_seconds * sfreq).reshape((1, n_seconds * sfreq))\n",
"plt.figure(figsize=(10, 4))\n",
"plt.plot(time.T, raw_signal[channels == 'Oz', :n_seconds*sfreq].T, lw=0.5)\n",
"plt.xlabel(\"time (s)\")\n",
"_ = plt.ylabel(r\"$\\mu$V\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And a fewer seconds of all electrodes:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_seconds = 2\n",
"time = linspace(0, n_seconds, n_seconds * sfreq).reshape((1, n_seconds * sfreq))\n",
"plt.figure(figsize=(10, 4))\n",
"plt.plot(time.T, raw_signal[:, :n_seconds*sfreq].T, color='C0', lw=0.5)\n",
"plt.xlabel(\"time (s)\")\n",
"_ = plt.ylabel(r\"mV\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extended signals for spatial covariance\n",
"\n",
"In the approach proposed by [Congedo, 2013], the SSVEP signal $X \\in \\mathbb{R}^{C \\times N}$ is extended to include the filtered signal for each stimulation frequency. The extended signal $X_{\\mathrm{ext}}$ is defined as:\n",
"\n",
"\\begin{equation}\n",
"X_{\\mathrm{ext}} = \t\n",
"\\begin{bmatrix}\n",
" X_{\\text{freq}_1}\\\\ \n",
"\\vdots \\\\\n",
"X_{\\text{freq}_{F}} \\\\\n",
"\\end{bmatrix}\n",
"\\in \\mathbb{R}^{FC \\times N} \\ ,\n",
"\\end{equation}\n",
"Where $C$, $N$, and $F$ are respectively the number of channels, number of samples, anf number of stimululation frequency.\n",
"\n",
"Thus we need to define a fonction for filtering the signal with a $5^{\\mathrm{th}}$ order bandpass Butterworth filter around the stimulation frequency."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def butter_bandpass(signal, lowcut, highcut, fs, order=4, filttype='forward-backward'):\n",
" nyq = 0.5 * fs\n",
" low = lowcut / nyq\n",
" high = highcut / nyq\n",
" b, a = butter(order, [low, high], btype='band')\n",
" if filttype == 'forward':\n",
" filtered = lfilter(b, a, signal, axis=-1)\n",
" elif filttype == 'forward-backward':\n",
" filtered = filtfilt(b, a, signal, axis=-1)\n",
" else:\n",
" raise ValueError(\"Unknown filttype:\", filttype) \n",
" return filtered"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we can construct the extended signal $E_{\\mathrm{ext}}$."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"frequencies = [13., 17., 21.]\n",
"freq_band = 0.1 \n",
"ext_signal = empty_like(raw_signal[0,:]) \n",
"for f in frequencies:\n",
" ext_signal = vstack((ext_signal, butter_bandpass(raw_signal, lowcut=f-freq_band, \n",
" highcut=f+freq_band, fs=sfreq)))\n",
"ext_signal = ext_signal[1:,:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The trial start is indicated by the code 32779, best option is to wait 2 seconds after cue onset (see [this article](http://authors.elsevier.com/sd/article/S0925231216000540) for detailled analysis). To ensure the robustness of this approach, spatial covariance matrices estimated from 3 seconds of EEG signals offers very good results."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"ext_trials = list()\n",
"for e, t in zip(event_type, event_pos):\n",
" if e == 32779: # start of a trial\n",
" start = t + 2*sfreq\n",
" stop = t + 5*sfreq\n",
" ext_trials.append(ext_signal[:, start:stop])\n",
"ext_trials = array(ext_trials)\n",
"ext_trials = ext_trials - tile(ext_trials.mean(axis=2).reshape(ext_trials.shape[0], \n",
" ext_trials.shape[1], 1), (1, 1, ext_trials.shape[2]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualization of filtered signal\n",
"\n",
"Plotting the `Oz` signal filtered at the different frequencies:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_seconds = 3\n",
"time = linspace(0, n_seconds, n_seconds * sfreq).reshape((1, n_seconds * sfreq))\n",
"plt.figure(figsize=(7, 5))\n",
"plt.plot(time.T, ext_trials[2, 0, :].T, label=str(frequencies[0])+' Hz')\n",
"plt.plot(time.T, ext_trials[2, 8, :].T, label=str(frequencies[1])+' Hz')\n",
"plt.plot(time.T, ext_trials[2, 16, :].T, label=str(frequencies[2])+' Hz')\n",
"plt.xlabel(\"time (s)\")\n",
"_ = plt.legend(loc='upper left')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As it can be seen on this example, the subject is watching the 17Hz stimulation and the EEG activity is showing an increase activity in this frequency band as the focus is more and more focus on the blinking stimulation.\n",
"\n",
"## Spatial covariance estimation\n",
"\n",
"The covariance matrices will be estimated using the Ledoit-Wolf shrinkage estimator."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"from pyriemann.estimation import Covariances\n",
"\n",
"cov_ext_trials = Covariances(estimator='lwf').transform(ext_trials)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualisation of the covariance matrices\n",
"\n",
"The matrix plot shows the block structure resulting from the extended signal. Most of the signal energy is concentrated in the 13 Hz frequency band."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.imshow(cov_ext_trials[0, :, :], \n",
" cmap=plt.get_cmap('RdPu'), \n",
" interpolation='nearest')\n",
"plt.xticks([])\n",
"_ = plt.yticks([0, 7, 15, 23])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The next plot shows an example of the first covariance matrix observed for each class:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 7))\n",
"for i, l in enumerate(classes):\n",
" plt.subplot(2, 2, i+1)\n",
" plt.imshow(cov_ext_trials[labels == l, :, :][0, :, :], \n",
" cmap=plt.get_cmap('RdPu'), \n",
" interpolation='nearest')\n",
" plt.xticks([])\n",
" plt.yticks([0, 7, 15, 23])\n",
" _ = plt.title(l)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It appears clearly that each class yields a different structure of the covariance matrix. Each stimulation (13, 17 and 21 Hz) generating higher covariance values for EEG signal filtered at the proper bandwith and no activation at all for the other bandwith. The resting state, where the subject focus on the center of the display and far from all blinking stimulations, shows an activity with higher correlation in the 13Hz frequency and lower but still visible activity in the other bandwith. \n",
"\n",
"## SSVEP Covariances\n",
"\n",
"To process EEG data from SSVEP experiment, it is possible to define a new Covariance class, derived from pyriemann, to obtain the same results. First, we need a more complete function to filter the data :"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"def _butter_bandpass(signal, lowcut, highcut, fs, order=4, filttype='forward-backward'):\n",
" nyq = 0.5 * fs\n",
" low = lowcut / nyq\n",
" high = highcut / nyq\n",
" b, a = butter(order, [low, high], btype='band')\n",
" if filttype == 'forward':\n",
" filtered = lfilter(b, a, signal, axis=-1)\n",
" elif filttype == 'forward-backward':\n",
" filtered = filtfilt(b, a, signal, axis=-1)\n",
" else:\n",
" raise ValueError(\"Unknown filttype:\", filttype) \n",
" return filtered"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We could define the `SSVEPCovariance` class such as:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.base import BaseEstimator, TransformerMixin\n",
"from pyriemann.utils.covariance import covariances\n",
"\n",
"class SSVEPCovariances(BaseEstimator, TransformerMixin):\n",
" \"\"\"Estimate special form covariance matrix for SSVEP.\n",
" Estimation of special form covariance matrix dedicated to SSVEP processing.\n",
" A frequency banks is applied on the signal :math:`\\mathbf{X}_i`\n",
" and a super trial is build using the concatenation of :math:`f=1, \\ldots, F` frequency bands :\n",
" .. math::\n",
" \\mathbf{\\\\tilde{X}}_i = \\left[\n",
" \\\\begin{array}{c}\n",
" \\mathbf{X}_{i,1} \\\\\\\\\n",
" \\vdots \\\\\\\\\n",
" \\mathbf{X}_{i,F} \\\\\\\\\n",
" \\end{array}\n",
" \\\\right]\n",
" This super trial :math:`\\mathbf{\\\\tilde{X}}_i` will be used for covariance\n",
" estimation.\n",
" This allows to take into account the frequency structure of the signal, as\n",
" described in [1,2,3].\n",
" Parameters\n",
" ----------\n",
" estimator : string (default: 'scm')\n",
" covariance matrix estimator. For regularization consider 'lwf' or 'oas'\n",
" For a complete list of estimator, see `utils.covariance`.\n",
" freq_targets : list of float\n",
" list of n_frequency target frequencies.\n",
" freq_band : float\n",
" half-width of the frequency bands.\n",
" fs : float\n",
" sampling frequency of the signal.\n",
" order : integer (default: 4)\n",
" order of the Butterworth filter.\n",
" filttype : string (default: 'forward')\n",
" type of the Butterworth filter: 'forward' or \n",
" 'forward-backward' for a bilateral filtering.\n",
" See Also\n",
" --------\n",
" Covariances\n",
" CospCovariances\n",
" References\n",
" ----------\n",
" [1] M. Congedo, A. Barachant, A. Andreev ,\"A New generation of\n",
" Brain-Computer Interface Based on Riemannian Geometry\", arXiv: 1310.8115.\n",
" 2013.\n",
" [2] TODO, NeuroComputing2016\n",
" [3] TODO, NeuroInformatics2020\n",
" \"\"\"\n",
"\n",
" def __init__(self, estimator='scm', freq_targets=[13, 17, 21], freq_band=0.1, \n",
" fs=256, order=4, filttype='forward-backward'):\n",
" \"\"\"Init.\"\"\"\n",
" self.estimator = estimator\n",
" self.freq_targets = freq_targets\n",
" self.freq_band = freq_band\n",
" self.fs = fs\n",
" self.order = order\n",
" self.filttype = filttype\n",
"\n",
" def fit(self, X, y):\n",
" \"\"\"Fit.\n",
" Do nothing. For compatibility purpose.\n",
" Parameters\n",
" ----------\n",
" X : ndarray, shape (n_trials, n_channels, n_samples)\n",
" ndarray of trials.\n",
" y : ndarray shape (n_trials,)\n",
" labels corresponding to each trial.\n",
" Returns\n",
" -------\n",
" self : SSVEPCovariances instance\n",
" The SSVEPCovariances instance.\n",
" \"\"\"\n",
"\n",
" return self\n",
"\n",
" def transform(self, X):\n",
" \"\"\"Estimate SSVEP form covariance matrices.\n",
" Parameters\n",
" ----------\n",
" X : ndarray, shape (n_trials, n_channels, n_samples)\n",
" ndarray of raw trials.\n",
" Returns\n",
" -------\n",
" covmats : ndarray, shape (n_trials, n_channel*n_frequency, n_channel*n_frequency)\n",
" ndarray of SSVEP covariance matrices for each trials.\n",
" \"\"\"\n",
" \n",
" X_ext = []\n",
" for f in self.freq_targets:\n",
" X_ext.append(_butter_bandpass(X, \n",
" lowcut=f-self.freq_band, \n",
" highcut=f+self.freq_band, \n",
" fs=self.fs,\n",
" order=self.order,\n",
" filttype=self.filttype))\n",
" X_ext = concatenate(X_ext, axis=1)\n",
" covmats = covariances(X_ext, estimator=self.estimator)\n",
" return covmats"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This new estimator could work directly on EEG trials. We need to extract the trials from the raw signal:"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"trials = list()\n",
"for e, t in zip(event_type, event_pos):\n",
" if e == 32779: # start of a trial\n",
" start = t + 2*sfreq\n",
" stop = t + 5*sfreq\n",
" trials.append(raw_signal[:, start:stop])\n",
"trials = array(trials)\n",
"trials = trials - tile(trials.mean(axis=2).reshape(trials.shape[0], \n",
" trials.shape[1], 1), (1, 1, trials.shape[2]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Computing the extended covariance matrices for SSVEP is thus simple as:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"sscov_trials = SSVEPCovariances(estimator='lwf', freq_targets=[13, 17, 21],\n",
" filttype='forward-backward').transform(trials)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We could verify that the first covariance matrices of each class are correct:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 7))\n",
"for i, l in enumerate(classes):\n",
" plt.subplot(2, 2, i+1)\n",
" plt.imshow(sscov_trials[labels == l, :, :][0, :, :], \n",
" cmap=plt.get_cmap('RdPu'), \n",
" interpolation='nearest')\n",
" plt.xticks([])\n",
" plt.yticks([0, 7, 15, 23])\n",
" _ = plt.title(l)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Going further\n",
"\n",
"This notebook demontrates how to build covariances matrices for SSVEP-based BCI following a step-by-step approach. While this is interesting to learn all the steps, there is already lots of tools to compute all these steps automaticaly.\n",
"\n",
"In another notebook, we will see how to use state-of-the-art tools to compute SSVEP-based BCI using [MOABB](https://github.com/NeuroTechX/moabb/) that rely on:\n",
"- [MNE](https://mne.tools/stable/index.html) to preprocess EEG data,\n",
"- [scikit-learn](https://scikit-learn.org/stable/) and [pyriemann](https://github.com/alexandrebarachant/pyRiemann) to apply machine learning classifiers\n",
"- specific MOABB code to conduct meta-analysis on multiple datasets and multiple classifiers for open science approach"
]
}
],
"metadata": {
"@webio": {
"lastCommId": null,
"lastKernelId": null
},
"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": "3.6.10"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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