{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulating multivariate effects based on temporal kernel\n", "\n", "In the previous example, we showed how to use the toolbox to specify multivariate effects of contrasts between experimental conditions at precise timepoints. You may have noticed that the generated effects look a bit too abrupt temporally to be realistic. That is because, by default, the toolbox generates multivariate effects with the same amplitude at all time points you specified to be present. In real data however, this is not the case. Typically, you would expect decoding to rise not at once but over some time. Similarly, you would not expect the effect to vanish suddenly, but rather to vanish over a period of time. \n", "\n", "To simulate more realistic temporal dynamics of multivariate effects, you can specify a temporal kernel that will be convolved with the effects you have specified. In this tutorial, we will illustrate how to do so." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Setting up the simulation\n", "\n", "Just as in the simulation before, we need to specify a design matrix, the time windows for our effects, as well as the characteristics of our effects (number of channels, number of participants, number of samples per trials...). We will take the same parameters as before. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import gamma as gamma_dist\n", "import matplotlib.pyplot as plt\n", "\n", "# Creating the design matrix of our 2 by two balanced design:\n", "X = np.array([[1, 1, -1, -1] * 40, [1, -1] * 80]).T\n", "\n", "# Add descriptors:\n", "cond_names = [\"category\", \"attention\"]\n", "X = pd.DataFrame(X, columns=cond_names) # Add a column for the interaction between category and attention\n", "mapping = {\n", " \"category\": {1: \"face\", -1: \"object\"},\n", " \"attention\": {1: \"attended\", -1: \"unattended\"},\n", "}\n", "\n", "# Specifying the effects:\n", "effects = [\n", " {\"condition\": 'category', \"windows\": [0.1, 0.2], \"effect_size\": 0.5}, \n", " {\"condition\": 'attention', \"windows\": [0.3, 0.4], \"effect_size\": 0.5}\n", " ] # Packaging them in a list to pass to the simulator class\n", "\n", "# Data parameters:\n", "n_channels = 32 # EEG system with 32 electrodes\n", "n_subjects = 20 # Recording from 20 subjects\n", "noise_std = 1 / 2 # Variance of the data\n", "ch_cov = None # Assuming that the data of each sensor are independent\n", "sfreq = 50 # Simulating data at 50Hz\n", "tmin = -0.25\n", "tmax = 1.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Specifying the temporal kernel\n", "To specify mutlivariate effects with more realistic temporal dynamics, we need to define a temporal kernel. This kernel will then be convolved with the time window we have specified for each effect, such that the mutlivariate effects follow these temporal dynamics. To illustrate it, we will use a gamma kernel. A gamma function looks like a Gaussian, except it is skewed towards the right, capturing nicely the typical dynamics of multivariate effect and of ERPs, where we typically see a quick rise followed by a slower decay:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate our kernel:\n", "t = np.arange(0, 1, 1 / sfreq) # time vector (in seconds)\n", "kernel = gamma_dist(a=2, scale=0.05).pdf(t)\n", "# kernel /= kernel.max() # Normalize peak to 0.25\n", "\n", "# Plot the kernel:\n", "fig, ax = plt.subplots()\n", "ax.plot(t, kernel, label=\"Gamma (shape=2, scale=0.05)\")\n", "ax.legend()\n", "ax.set_title(\"Gamma Kernel\")\n", "ax.set_xlabel(\"Time (s)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can play around with the shape and scale parameters to obtain different temporal profiles. I chose these parameters as I thought they look reasonable. Note that here, despite the kernel starting at t = 0, when we convolve it with the data, it will start to rise only from the first sample at which we have an effect and ramp up from there. So don't try to specify a kernel that starts at the time point you'd want to see your effect, this is taken care of above by specifying the time window for your effect. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Simulating the data\n", "\n", "The simulation of the data is exactly the same as before, except for the additional kernel parameter:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from multisim import Simulator\n", "\n", "sims = Simulator(\n", " X, # Design matrix\n", " effects, # Effects to simulate\n", " noise_std, # Observation noise\n", " n_channels, # Number of channelss\n", " n_subjects, # Number of subjects\n", " tmin,\n", " tmax, # Start and end of epochs\n", " sfreq, # Sampling frequency of the data\n", " ch_cov=ch_cov, # Spatial covariance of the data\n", " kern=kernel, # Temporal kernel\n", ")\n", "epochs = sims.export_to_mne(X=X.copy(), mapping=mapping)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Vizualizing the data:\n", "Just as was the case before, we don't really see much when looking at the activity of a particular channel as we have added effects at the multivariate level. Our kernel doesn't change anything at that level. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Not setting metadata\n", "160 matching events found\n", "No baseline correction applied\n", "0 projection items activated\n", "combining channels using \"mean\"\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "[
]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "epochs[0].plot_image(picks=[0], scalings=dict(eeg=1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Decoding analysis\n", "\n", "### 6.1. Within subject analysis:\n", "We can try to decode each of the labels of interest (face vs. objects and attended vs. unattended) for a given subject and we will see that these effects are present at the expected time points, but this time following the dynamics defined by our kernel:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Sensor space decoding')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.svm import SVC\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.preprocessing import StandardScaler\n", "from mne.decoding import SlidingEstimator, cross_val_multiscore\n", "\n", "# Create the classifier:\n", "clf = make_pipeline(StandardScaler(), SVC())\n", "\n", "# Time resolved\n", "time_decod = SlidingEstimator(clf, n_jobs=None, scoring=\"roc_auc\", verbose=True)\n", "\n", "# Extract the data:\n", "data = epochs[0].get_data()\n", "\n", "# Decode faces vs. objects:\n", "cate_lbl = np.array([mapping[\"category\"][val] for val in X.to_numpy()[:, 0]])\n", "scores_category = np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, cate_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", ")\n", "\n", "# Decode attended vs. unattended:\n", "att_lbl = np.array([mapping[\"attention\"][val] for val in X.to_numpy()[:, 1]])\n", "scores_attention = np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, att_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", ")\n", "\n", "# Plot\n", "fig, ax = plt.subplots()\n", "ax.plot(epochs[0].times, scores_category, label=\"category\")\n", "ax.plot(epochs[0].times, scores_attention, label=\"attention\")\n", "ax.axhline(0.5, color=\"k\", linestyle=\"--\", label=\"chance\")\n", "ax.set_xlim([epochs[0].times[0], epochs[0].times[-1]])\n", "ax.set_xlabel(\"Times\")\n", "ax.set_ylabel(\"AUC\") # Area Under the Curve\n", "ax.legend()\n", "ax.axvline(0.0, color=\"k\", linestyle=\"-\")\n", "ax.set_title(\"Sensor space decoding\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.2. Group level analysis\n", "We simulated the data of 20 subjects, so we can investigate the evidence for decoding of the experimental manipulations at the group level. First, we need to perform the decoding on every single subject:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from mne.stats import permutation_cluster_1samp_test, bootstrap_confidence_interval\n", "\n", "scores_category = []\n", "scores_attention = []\n", "\n", "# Loop through each subject:\n", "for epo in epochs:\n", " # Extract the data:\n", " data = epo.get_data()\n", " # Classification of category\n", " scores_category.append(\n", " np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, cate_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", " )\n", " )\n", " # Classification of attention:\n", " scores_attention.append(\n", " np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, att_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", " )\n", " )\n", "\n", "scores_category = np.array(scores_category)\n", "scores_attention = np.array(scores_attention)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then apply a cluster based permutation test across subjects to find out when we have an effect:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using a threshold of 1.729133\n", "stat_fun(H1): min=-3.416577577383554 max=12.839151244207669\n", "Running initial clustering …\n", "Found 2 clusters\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "42229d9ecd2e4ddb8418e4e8e935c3c7", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | Permuting : 0/1023 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the confidence intervals:\n", "ci_low_cate, ci_up_cate = bootstrap_confidence_interval(scores_category)\n", "ci_low_att, ci_up_att = bootstrap_confidence_interval(scores_attention)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(epochs[0].times, np.mean(scores_category, axis=0), label=\"category\", color=\"b\")\n", "ax.fill_between(epochs[0].times, ci_low_cate, ci_up_cate, alpha=0.3, color=\"b\")\n", "ax.plot(\n", " epochs[0].times[sig_mask_cate],\n", " np.ones(np.sum(sig_mask_cate)) * 0.4,\n", " marker=\"o\",\n", " linestyle=\"None\",\n", " color=\"b\",\n", ")\n", "\n", "ax.plot(\n", " epochs[0].times, np.mean(scores_attention, axis=0), label=\"attention\", color=\"g\"\n", ")\n", "ax.fill_between(epochs[0].times, ci_low_att, ci_up_att, alpha=0.3, color=\"g\")\n", "ax.plot(\n", " epochs[0].times[sig_mask_att],\n", " np.ones(np.sum(sig_mask_att)) * 0.4,\n", " marker=\"o\",\n", " linestyle=\"None\",\n", " color=\"g\",\n", ")\n", "ax.axhline(0.5, color=\"k\", linestyle=\"--\", label=\"chance\")\n", "ax.set_xlim([epochs[0].times[0], epochs[0].times[-1]])\n", "ax.set_xlabel(\"Times\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These results align with what we would expect. However, you probably noticed that this time, the effect don't seem to be restricted to the time points we have specified. That's to be expected. The gamma kernel are convolved with the time windows of our effects, so the effects gets protruded in time. If you want to avoid this, you should specify your effect as a single point in time (one sample) which when convolved with a temporally extended kernel will become protruded in time. You can then play around with the spread of your kernel to control the duration of the effect. So when using a kernel, it is a bit less straight forward to specify clear time points for your effects. \n", "\n", "In the next tutorial, we will show how to specify between subject noise, to make the data even more realistic." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 2 }