{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# P300 with muse\n", "\n", "I was interested in knowing whether it was possible to observe a P300 with a Muse 2016 EEG headset.\n", "EEG channels on the Muse are not positioned ideally for P300. However, EEG potentials diffuses on the whole scalp and it is very likely that we will be able to observe a P300 ERP even if the electrode are far away from the region of interest. The real question is **How reliable will this observation be?**.\n", "\n", "So I designed a simple [Oddball Paradigm](https://en.wikipedia.org/wiki/Oddball_paradigm) using visual stimulus. I used two type of stimulus, frequency stimulus consisting in a grating with vertical stripes, and rare (target) stimulus with horizontal stripes. \n", "The task was to count the number of times I saw the stimulus with horizontal stripes.\n", "\n", "Stimulus were presented for 200ms at an interval of 600ms with a random jitter of +- 100ms.\n", "\n", "I recorded 6 runs of 2 minutes, for a total count of 960 Non-target and 184 Target stimulus.\n", "\n", "## Record your own data\n", "\n", "To record your own data, you need a muse 2016 headset.\n", "Use the script `muse-lsl.py` to stream data from the muse, then launch the following two scripts in another terminal\n", "\n", "`python stimulus_presentation/generate_Visual_P300_stripes.py -d 120 & python lsl-record.py -d 120`\n", "\n", "this will display stimulations and record data for 2 minutes.\n", "you can do as many run as you wish, but 5 runs (10 minutes) is ideal." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import sys\n", "from collections import OrderedDict\n", "\n", "from mne import create_info, concatenate_raws\n", "from mne.io import RawArray\n", "from mne.channels import read_montage\n", "\n", "import pandas as pd\n", "import numpy as np\n", "\n", "from glob import glob\n", "import seaborn as sns\n", "from matplotlib import pyplot as plt\n", "\n", "sys.path.append('../muse_lsl/muse')\n", "import utils\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read data and convert them in MNE objects\n", "\n", "Data is read from this folder's data/visual/P300 folder. Data will come from folders with the model `subject {subject}` and `session {session}`\n", "\n", "Data is saved in csv file for more convenience. Then we will convert them into MNE data object so we can pre-process and epoch them" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n" ] } ], "source": [ "subject = 1\n", "session = 1\n", "raw = utils.load_data('visual/P300', sfreq=256., \n", " subject_nb=subject, session_nb=session, \n", " ch_ind=[0, 1, 2, 3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Power Spectrum" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective window size : 8.000 (s)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/dano/anaconda3/lib/python3.6/site-packages/mne/viz/raw.py:614: DeprecationWarning: In version 0.15 average will default to False and spatial_colors will default to True.\n", " 'spatial_colors will default to True.', DeprecationWarning)\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbwAAAEsCAYAAAC41gacAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZ2JiYmKiBf8/A6Q1fej2w+wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "raw.plot_psd(tmax=np.inf);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can clearly see the 60Hz (and its first harmonic) in the signal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtering\n", "\n", "We filter data between 1 and 30 Hz" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up band-pass filter from 1 - 30 Hz\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw.filter(1,30, method='iir')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Epoching\n", "\n", "Here we epoch data for -100ms to 800ms after the stimulus. No baseline correction is needed (signal is bandpass filtered) and we reject every epochs where the signal exceed 100uV. This concerns mainly blinks.\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1161 events found\n", "Events id: [1 2]\n", "sample drop %: 1.5503875968992276\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from mne import Epochs, find_events\n", "\n", "events = find_events(raw)\n", "event_id = {'Non-Target': 1, 'Target': 2}\n", "\n", "epochs = Epochs(raw, events=events, event_id=event_id, tmin=-0.1, tmax=0.8, baseline=None,\n", " reject={'eeg': 100e-6}, preload=True, verbose=False, picks=[0,1,2,3], add_eeg_ref=False)\n", "print('sample drop %: ', (1 - len(epochs.events)/len(events)) * 100)\n", "\n", "epochs\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Epoch average\n", "\n", "Now we can plot the average ERP for both conditions, and see if there is something" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA00AAAGoCAYAAACaFQ40AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEREREZFG/H+z7W8LTRlEBgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "conditions = OrderedDict()\n", "conditions['Non-target'] = [1]\n", "conditions['Target'] = [2]\n", "\n", "fig, ax = utils.plot_conditions(epochs, conditions=conditions, \n", " ci=97.5, n_boot=1000, title='',\n", " diff_waveform=(1, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, there is a clear and identifiable P300 on electrodes TP9 and TP10. We can see a little bit of activity on AF8 but not on AF7. \n", "\n", "The reference of the Muse headset is on FPz, very close to the two frontal electrode. \n", "This means that unless there is a left-right local gradient of the potential on the forehead, it is very unlikely that we will observe anything on these two electrodes.\n", "This also means that any potential local to the reference will be projected negatively on the TP electrodes. This is why you will only see blinks on the TP electrodes and not on frontal electrodes.\n", "\n", "Anyway, here there is no doubt about the presence of a P300 potential." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decoding\n", "\n", "By averaging the epochs, we can clearly identify an ERP. However this does not tell us anything about the SNR of the P300. I like using a classification pipeline to get a sense of the strength of the P300 response on a single trial basis.\n", "\n", "Here we will use 4 different pipelines :\n", "- **Vect + LR** : Vectorization of the trial + Logistic Regression. This can be considered as the standard decoding pipeline in MEG / EEG.\n", "- **Vect + RegLDA** : Vectorization of the trial + Regularized LDA. This one is very utilized in P300 BCI. It can outperform the previous one but can become unusable if the number of dimension is too high.\n", "- **Xdawn + RegLDA** : Xdawn spatial filtering + Vectorization of the trial + Regularized LDA.\n", "- **ERPCov + TS**: ErpCovariance + Tangent space mapping. One of my favorite Riemannian geometry based pipeline.\n", "- **ERPCov + MDM**: ErpCovariance + MDM. A very simple, yet effective (for low channel count), Riemannian geometry classifier.\n", "\n", "Evaluation is done in cross-validation, with AUC as metric (AUC is probably the best metric for binary and unbalanced classification problem)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAEOCAYAAACQK/M6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nklTB/wfDCoYJVdWNNwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.pipeline import make_pipeline\n", "\n", "from mne.decoding import Vectorizer\n", "\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as LDA\n", "\n", "from sklearn.model_selection import cross_val_score, StratifiedShuffleSplit\n", "\n", "from pyriemann.estimation import ERPCovariances\n", "from pyriemann.tangentspace import TangentSpace\n", "from pyriemann.classification import MDM\n", "from pyriemann.spatialfilters import Xdawn\n", "\n", "from collections import OrderedDict\n", "\n", "clfs = OrderedDict()\n", "\n", "clfs['Vect + LR'] = make_pipeline(Vectorizer(), StandardScaler(), LogisticRegression())\n", "clfs['Vect + RegLDA'] = make_pipeline(Vectorizer(), LDA(shrinkage='auto', solver='eigen'))\n", "clfs['Xdawn + RegLDA'] = make_pipeline(Xdawn(2, classes=[1]), Vectorizer(), LDA(shrinkage='auto', solver='eigen'))\n", "clfs['ERPCov + TS'] = make_pipeline(ERPCovariances(), TangentSpace(), LogisticRegression())\n", "clfs['ERPCov + MDM'] = make_pipeline(ERPCovariances(), MDM())\n", "\n", "# format data\n", "epochs.pick_types(eeg=True)\n", "X = epochs.get_data() * 1e6\n", "times = epochs.times\n", "y = epochs.events[:, -1]\n", "\n", "# define cross validation \n", "cv = StratifiedShuffleSplit(n_splits=10, test_size=0.25, random_state=42)\n", "\n", "# run cross validation for each pipeline\n", "auc = []\n", "methods = []\n", "for m in clfs:\n", " res = cross_val_score(clfs[m], X, y==2, scoring='roc_auc', cv=cv, n_jobs=-1)\n", " auc.extend(res)\n", " methods.extend([m]*len(res))\n", " \n", "results = pd.DataFrame(data=auc, columns=['AUC'])\n", "results['Method'] = methods\n", "\n", "plt.figure(figsize=[8,4])\n", "sns.barplot(data=results, x='AUC', y='Method')\n", "plt.xlim(0.2, 0.85)\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best pipeline is **ERPCov + MDM** and yield an average AUC of 0.77. This AUC can be considered as good." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "Based on this initial results, we can say that it is possible to observe a P300 with the muse headset.\n", "Considering the AUC of 0.8, this can even be used for some BCI application, even if one should not expect outstanding results." ] } ], "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }