{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Inverted Encoding Model\n",
"\n",
"Author: Vy Vo (vy.vo@intel.com)\n",
"\n",
"## Overview\n",
"We provide examples of how to use the inverted encoding model (IEM) module in BrainIAK to reconstruct features of stimuli presented to human subjects. First, a forward encoding model is estimated, mapping a set of stimulus features to the accompanying fMRI response in a population of voxels. Then, the model is inverted to allow the user to feed in new fMRI responses and predict the accompanying stimulus features.\n",
"\n",
"The BrainIAK implementation allows for users to specify and fit an encoding model for stimulus features that are represented in either a 1-dimensional, circular space or a 2-dimensional space. We include examples for each of these from real fMRI studies of working memory and attention.\n",
"\n",
"While decoding methods such as support vector machines (SVM) can also take fMRI responses and predict stimulus features, they rely on general purpose algorithms to learn how features are represented in the data. When the encoding model is a better description for the data than a generic decoding algorithm, it is a more efficient way to estimate the response --> stimulus mapping. Our last example simulates responses from 1D receptive fields, and uses either SVM or an IEM to predict the stimulus feature. The IEM achieves higher accuracy with less data.\n",
"\n",
"## Annotated Bibliography\n",
"1. Brouwer, G.J., and Heeger, D.J. (2009). Decoding and reconstructing color from responses in human visual cortex. *Journal of Neuroscience* 29, 13992–14003. [`link`](https://doi.org/10.1523/JNEUROSCI.3577-09.2009) *Uses an inverted encoding model to reconstruct color in a continuous space, demonstrating how color is represented across a hierarchy of visual regions.*\n",
"\n",
"2. Naselaris, T., Kay, K. N., Nishimoto, S., & Gallant, J. L. (2011). Encoding and decoding in fMRI. *NeuroImage* 56(2), 400–410. [`link`](https://doi.org/10.1016/j.neuroimage.2010.07.073) *A review article distinguishing between the different uses of encoding and decoding approaches for fMRI.*\n",
"\n",
"3. Serences, J.T., and Saproo, S. (2012). Computational advances towards linking BOLD and behavior. *Neuropsychologia* 50, 435–446. [`link`](https://doi.org/10.1016/j.neuropsychologia.2011.07.013) *Describes the differences between encoding and decoding approaches and emphasizes how these approaches can test linking hypotheses between fMRI and behavior.*\n",
"\n",
"4. Sprague, T.C., Adam, K.C.S., Foster, J.J., Rahmati, M., Sutterer, D.W., and Vo, V.A. (2018). Inverted encoding models assay population-level stimulus representations, not single-unit neural tuning. *eNeuro* 5, 1–5. [`link`](https://doi.org/10.1523/ENEURO.0098-18.2018) *Argues that inverted encoding models are most useful when using population-level stimulus representations across experimental manipulations to pointedly test psychological theories.*\n",
"\n",
"5. Sprague, T.C., Boynton, G.M., and Serences, J.T. (2019). The importance of considering model choices when interpreting results in computational neuroimaging. *eNeuro* 6, 1–11. [`link`](https://doi.org/10.1523/ENEURO.0196-19.2019) *Describes the encoding model approach in the broader scope of computational models and acknowledges some important limitations.*\n",
"\n",
"## Table of Contents\n",
"* Example 1: Reconstructing items from working memory\n",
"* Example 2: Reconstruct 2D spatial position by contrast and attention\n",
"* Example 3: Comparing SVM and IEM with simulated data and low trial numbers\n",
"* Summary"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from brainiak.reconstruct import iem as IEM\n",
"import matplotlib.pyplot as plt\n",
"import scipy.io"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data associated with these examples are originally derived from these OSF repositories, but have been sorted and cleaned for easier use.\n",
"\n",
"* Dataset 1 from Rademaker et al. 2019, Nat. Neurosci. [Download here](https://zenodo.org/record/4950267/files/RademakerEtAl2019_WM_S05_avgTime.npz?download=1).\n",
"* Dataset 2 from Itthipuripat et al. 2019, J. Neurosci. [Download here](https://zenodo.org/record/4950267/files/AL61_Bilat-V1_attnContrast.mat?download=1).\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1: Reconstructing items from working memory "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this study, [Rademaker et al.](https://www.nature.com/articles/s41593-019-0428-x) trained the IEM on an independent dataset where the participants viewed orientation gratings.\n",
"\n",
"In the test data, the participants viewed a target orientation, and held it working memory for 12 seconds. During this delay period, a distractor grating appeared in a portion of the trials. The orientation of the distractor was randomized relative to the remembered orientation.\n",
"\n",
"Using the fMRI data from the delay period, we will reconstruct both the orientation held in WM and the distractor orientation that was simultaneously being viewed. This sample data is from visual area V1."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['trn', 'trn_conds', 'tst_m', 'tst_m_conds', 'tst_d', 'tst_d_conds']\n"
]
}
],
"source": [
"# Load the fMRI data from the WM experiment\n",
"wm_data = np.load(\"RademakerEtAl2019_WM_S05_avgTime.npz\")\n",
"print(list(wm_data.keys()))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Set up parameters\n",
"n_channels = 9\n",
"cos_exponent = 8\n",
"feature_resolution = 180\n",
"iem_obj0 = IEM.InvertedEncoding1D(n_channels, cos_exponent, \n",
" stimulus_mode='halfcircular',\n",
" channel_density=feature_resolution)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"iem_obj0 = iem_obj0.fit(wm_data['trn'], wm_data['trn_conds'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The quality and interpretability of your stimulus reconstructions all depend on how you set up the channels, or basis functions, in the model. In order to ensure that you can accurately reconstruct stimuli at all portions in the area where you have presented stimuli, you will want to evenly space your basis functions in that region so that the sum of all the basis functions is constant across the feature space. You also will likely want to ensure some overlap between the basis functions."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(9, 180)\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Sum across channels')"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Let's visualize the basis functions.\n",
"channels = iem_obj0.channels_\n",
"feature_axis = iem_obj0.channel_domain\n",
"print(channels.shape)\n",
"\n",
"plt.figure(figsize=[8, 3])\n",
"plt.subplot(1, 2, 1)\n",
"for i in range(0, channels.shape[0]):\n",
" plt.plot(feature_axis, channels[i,:])\n",
"plt.title('Channels (i.e. basis functions)')\n",
"plt.subplot(1, 2, 2)\n",
"plt.plot(np.sum(channels, 0))\n",
"plt.ylim(0, 2.5)\n",
"plt.title('Sum across channels')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have trained the IEM, we can test it on our two different conditions: holding an orientation in working memory, or viewing it as a distractor. Let's first look at the memory condition."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Test the model on remembered orientation\n",
"tst_mem_tc = wm_data['tst_m']\n",
"n_tst_mem, n_vox = tst_mem_tc.shape\n",
"mpred_features = iem_obj0._predict_feature_responses(wm_data['tst_m'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In order to collapse across trials from all the different orientations, we recenter all the reconstructions to be centered at the same point. To do this, we circularly shift the reconstruction based on the presented target orientation on that trial. We can then plot the average reconstruction across trials."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Orientation reconstructed from WM')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mpred_features_centered = np.ones((feature_resolution, n_tst_mem)) * np.nan\n",
"# Re-center all the reconstructions to a common point\n",
"shift_to = 90\n",
"for trial in range(n_tst_mem):\n",
" mpred_features_centered[:, trial] = np.roll(mpred_features[:, trial],\n",
" shift_to - int(wm_data['tst_m_conds'][trial]))\n",
"\n",
"avg_feats = mpred_features_centered.mean(axis=1)\n",
"plt.plot(iem_obj0.channel_domain - shift_to, avg_feats)\n",
"plt.ylim([-0.2, 1.0])\n",
"plt.xlabel('distance from presented orientation')\n",
"plt.ylabel('estimated channel response')\n",
"plt.title('Orientation reconstructed from WM')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that there is a robust representation of the remembered orientation in the data.\n",
"\n",
"Next, we look at the reconstruction of the distractor orientation during the working memory delay period. Recall that this is the orientation that is being visually presented to the participant."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Reconstruction of WM and distractor orientations')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Test the model on the viewed orientation (WM distractor)\n",
"tst_dist_tc = wm_data['tst_d']\n",
"n_tst_dist, _ = tst_dist_tc.shape\n",
"pred_features = iem_obj0._predict_feature_responses(wm_data['tst_d'])\n",
"# Re-center all the reconstructions to a common point\n",
"pred_features_centered = np.ones((feature_resolution, n_tst_dist)) * np.nan\n",
"for trial in range(n_tst_dist):\n",
" pred_features_centered[:, trial] = np.roll(pred_features[:, trial],\n",
" shift_to - int(wm_data['tst_d_conds'][trial]))\n",
"\n",
"dist_avg_feats = pred_features_centered.mean(axis=1)\n",
"\n",
"plt.plot(iem_obj0.channel_domain - shift_to, avg_feats)\n",
"plt.plot(iem_obj0.channel_domain - shift_to, dist_avg_feats)\n",
"plt.ylim([-0.2, 1.0])\n",
"plt.xlabel('distance from presented orientation')\n",
"plt.ylabel('estimated channel response')\n",
"plt.legend(['remembered orientation', 'distractor orientation'])\n",
"plt.title('Reconstruction of WM and distractor orientations')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the distractor orientation is simultaneously represented in the same data!\n",
"\n",
"Read more about these data in the [full paper](https://www.nature.com/articles/s41593-019-0428-x).\n",
"\n",
"Rademaker, R., Chunharas, C., Serences, J.T. 2019. Coexisting representations of sensory and mnemonic information in human visual cortex. Nature Neuroscience 22:8."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2: Reconstructing 2D spatial representations with attention and contrast changes "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Itthipuripat et al. 2019](https://www.jneurosci.org/content/39/31/6162) collected data from participants as they viewed flickering checkerboard stimuli presented at a range of contrasts (0-70%, logarithmically spaced) on either the left or right of the screen. They either attended to an occasional change in contrast at the stimulus position (\"attend stimulus\") or at the central fixation point (\"attend fixation\"). These contrast change trials are excluded from the data, so the sensory input is equated across conditions.\n",
"\n",
"The IEM will be trained on an independent dataset, in which participants viewed checkerboards as they appeared at many locations across the screen. Then we will test the IEM, i.e. reconstruct the stimulus, under the different contrast and attention conditions."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Load the fMRI data\n",
"data = scipy.io.loadmat('AL61_Bilat-V1_attnContrast.mat')\n",
"trn_conds = data['trn_conds'] # position in space for 128 trials\n",
"# flip to cartesian coordinates to make life easier\n",
"trn_conds[:,1] = trn_conds[:,1]*-1\n",
"trn = data['trn'] # matrix of (trials, voxels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The test data have different conditions than the training data. There are four independent variables in these data based on the values in the following columns: \n",
"- In column 1, whether the stimulus was on the left (1) or right (2) side of the screen. \n",
"- In column 2, the logarithmically spaced stimulus contrast from lowest (1) to highest (6). \n",
"- In column 3, the task instruction to attend to fixation (1) or the stimulus (2).\n",
"- In column 4, whether the target was present (1) or not (0)."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# Note there are several different conditions in the test data.\n",
"tst_conds = data['tst_conds']\n",
"tst = data['tst']\n",
"attn_conds = np.unique(tst_conds[:, 2])\n",
"stim_contrasts = np.unique(tst_conds[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# Set up parameters\n",
"n_channels = [9, 5] # channels in the x, y directions\n",
"cos_exponent = 5\n",
"stimx, stimy = [-17/2, 17/2], [-5, 5]\n",
"stim_res = [171, 101]\n",
"npixels = stim_res[0] * stim_res[1]\n",
"stim_size = 1.449\n",
"chanx, chany = [-6, 6], [-3, 3]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"iem_obj = IEM.InvertedEncoding2D(stim_xlim=stimx, stim_ylim=stimy,\n",
" stimulus_resolution=stim_res,\n",
" stim_radius=stim_size,\n",
" chan_xlim=chanx, chan_ylim=chany,\n",
" channel_exp=7)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The quality and interpretability of your stimulus reconstructions all depend on how you set up the channels, or basis functions, in the model. In order to ensure that you can accurately reconstruct stimuli at all portions in the area where you have presented stimuli, you will want to evenly space your basis functions in that region. You also will likely want to ensure some overlap between the basis functions.\n",
"\n",
"There are two pre-built functions to create a 2D grid of basis functions, to use a rectangular grid or a triangular grid. A triangular grid is more space-efficient, so let's use that.\n",
"\n",
"Note you will need to define these basis functions before you can fit the model. Otherwise it will throw an error."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"basis_fcns, basis_centers = iem_obj.define_basis_functions_sqgrid(n_channels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To visualize these, you will need to reshape the second dimension into the 2D pixel space where the stimuli are represented."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(n_channels[1], n_channels[0], figsize=[18, 8])\n",
"i = 0\n",
"for ii in range(n_channels[1]):\n",
" for jj in range(n_channels[0]):\n",
" ax[ii, jj].imshow(basis_fcns[i, :].reshape(stim_res[1], \n",
" stim_res[0]),\n",
" extent=[stimx[0], stimx[1], stimy[0], stimy[1]])\n",
" i += 1\n",
"plt.suptitle('Images of each basis function', fontsize=25)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To check how well the basis functions cover the stimulus domain, we can sum across all the basis functions."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Spatial coverage of basis functions')"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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0tyH0TCMuaN88UsnHQGjkDf86MdfCXQcTwD1T1iLMDPe1k5zut3d9e4KvHYFbdoQtE5fkGZpICJmoVeDMoKPOJcCNA7+AzIGTxpgvQuRE9CCATwXwtQD+4RJpuoTV94hLJVS/2iceKvHdrnWlVAbYVY7QHWHvq4bA2ZDbDthK0rIVKWXuGmxKlWcIe1CVLzFEHXuHX2pYvEJI3ipl3er3tLgDmFk1zgBAcTVuqSFwMGBqmew0xu034koRQjegg/jEyRE7A6DalY8IdDwC5CJhUANMrc/cx54DvUVD/QLNV+VLKfJvBvA8AI9cKL2kdVwqQEeNdyY2c0q8MuCqkqW2O9lu9y2By6eocK6ErHnnPj2BB4qcCX1C72Q8X66kki/pF7024BTcVL/mJMwy3Lkjlsso61a/xbgnxIzVUZfA3TbrRzQtoRMz+Og+a6fOPZG7TwO0jwbwLhWST2HsSgjbENrQGjcB6r0D1qqHcSkXy8KqfDaRE9HTAfw+M/8HInpy5rjnAHgOANyH+0sSVt/LXCpNiKEjdDKmS+JOiTeulMopcUNgR+QNoVdC1nYn5M2VTGy2RK6IHW5bQpEPq/DCbUOW6BDFtgjmWrj3CuZauCthDnB5T52z2q5cK8SsFDlATKBKtpkjyzZP4ATAiuOkuQk45U2AuGEAoOKmqAwfZ24A41aJjnGxzFTlSyjyjwXwDCL6FAD3AXiAiF7IzM/SBzHzCwC8AAAeoEcPjJ1yqiJ0sSi/uI8T99EpVaVcKE6JOwXO+wpcEexOttmdRKh4JW73QtJ2JwRud+RcLQhcK+GnvgHlytjflCT8XDqJmswOP1fGXBJ3DcxFcK+kfsfgnhxz0KXiz/UTm1CfzvfOgKndp3hGwJUQtjmwU9MGVDMMEehoRZm7SU82CJQ5NUVsslA74g9dLEBeic8g89lEzsxfDuDLJR/0ZABfFpL4LBtS4wA6fnEy7b4mFty07hTjidsrcgNbiRKHAepbpiXwzieEqCs4ZU5RQteNdkwHnuKO6SYQOX1oZHoCzCHcSZ19JmYSd436HYO7Rv0mcC+qfoeOZeoSufWfLMTtiJwNtQs2m09CBetcpxaGjChzYhg34cmVUuZ+dacLXWQyLpyR+i6WE058XlccOSnili89lwo5Re5jxdkr8qoSd8q+alQ470iIuyLYW6LEa6/Em0+0itwoRe4IXcIR0XWtAOXulXD7CKU+pqFnbczNJYU7RUhceFm3+p2Ae4qylt7QONjnydzKJ9XUKnILcOWI/eAnKR3pk3ELggy4ZvF+k7haDLXhh2QZvHNF9hEtzHEXC4S3GMv7x4GFiZyZXwbgZYslmFDj8qlInbpk3ltyXxmZ2PSulMr7wtG6UhqXChyhQxT63hH4zvnFK/fpJzn9I4+9x0dPfnbKEm+N/eMGfkcTGfg9ZEtgjsWdquDmlHUNzBjGTa3fGMYCmOmbDMWPa8IN3Wfd/iYLN7kJF03iAK1kVlS7EDvVkn9biwfAMMPCwFgLYmqfeEhWOIYZZIwobcOANY1vHU1YIp1ElV+eIi8JXwonOHWooSfuwC/O+8qpcFHidi/ELoocqG+Rc7Gg+d0ocvcJQKJXjNzNO4rcEzhQ6GIJW2v3Z/HioUySg53wFJhDuCNU4ijcNcq61W8S9ySYvUQ5cKnIf3OU7Stysmjiwc3BEXtFQtqGQbXMiRlP/k7FU80gNpBnmLs1KM1zWCpJs2LZVnVDEvXEZ89n3qsESXesXR6Rp0w/6Mpv0qQfPKXQr8Rk72IxPpxQCJubf3Gb2B3BVkLYtiJR4FVL5J7A7U5aCu9cO2uInDshiNFQxFivzLhjxvoYOfhdZGtgzsHlCNQll3WO73iN+p2DeypMjmxUHUuHHPpPIXBqiRwAHQXEON+4RKW4NIxk2MeUy2IgwICbRYC2InF/19RExbEBiKzztysO0tVA1GStfeTthYUfLmpDIYf6OO0bN1V3glNHrDQq3MjE5k7cKvaWkLdX4vUtp8Rvk1PkrRIXQufWR27YuVjYPUTLfW9IXH8P8z6WzAt6UahUZg+HCxOYg7sG5lTcrX5Pi5vDjI5IusezJvLmoVZowg1h5TvVACyBa3GlmINsa3zjxpE02E2IOtL1fnVhYFHmANj6F1Pod4AGqtw9x1z7yjvVs1Ao4mURecr0JGf4yqfO+zWVGjduaX1FrRr3KzaN3F3Zrdi0O+cDV0rc/9u9I+2dkLXdQ4ZXTpnDBJ8k+5t7km7I0XtSfH/Sw0ScHLf2rv3I4fBZMNfCvVcw18JdGlOL79jxnWOpPd9FrIABbojcLcE/ut8HIXYLlmk1JqAWDiASd4oBS6QaCKYS9W4MiyCsWfjFkDxc70hCyDFVbiTtbt0sP+l50UQeneQEunHjPlJFq3H/72PGvRpvFLn73znlvYNT6EB92908b3OjzGEY9paob96510DtrFyvSsZtxr1JhYyfoW5JujPQCBSK/h02/vDYIdMNvvSGnsub3h7tTBMxS3FTFublksu6xjUNcdco61jM3DXt7+vnjZna724S0joi59pIMMnRABawOyNL8++SPAjLsChz506R2HKnzMUtDnMk1Na4WHMjLxhy4YzYiQoX3glUOVtISLSLK/cvrIhNes6wyyTycNFPzFTcuJyj1Dg5NR5T5CrqxP+2zlfe7PMK3QC8Y5nY3DvH255BhkGOyI2xICPPayDy/5rE3Wcv+5rA498zD1LsWNgGUp0zZWGnm4K7BuZc3FLMEPcml/XS2pL+bkNCD47xZM5swUywlsCW4B52KGLdEhgWsCQPJqx9VIp8x1H6voH3ibPjDlZRa+2D9Ngpcv+IkI4qB5zr14HXA2Q9Q6FfJpGnTD9TBYBfiq/dKo0y3xm3DF+v3GwnNmunyDvKvBIlbnetIre3rVyIWxZUMaqdBRmL3c7CGEZlLAwxdpWVRQOOzA1xQ96m06HSijx1nMmMay3SDT383avOXqcbjxnizMHM4eYwx+KWYg7h3uSyrtGWUnUb3kxix7H7zkzN57E2sCxK2lrC8WjA1qDeGXAtgRBsRQw2kSyVuFqcOxwgQl2zqHXnIjFHht0TyIrSJ6/I/R2DrOIjalw/RP7lNAXRKyPtcog8+dAdE7+ta9XeTHy2/6LI0S7WaVS5UuTKF+5/d+LFd26YVDHMzhN5DWMY+10NQ+3nzhG6JnLfmHVD7iuWfqcr7QTeSjpDzKbcOIYwh3Cndvg5mD2cFep3LO4a9ZvDPXf95rA7Kh3t8ZrILRMqI0R+OFawjkOsZTcnKoodtevnIPCx5QOw++4nQTv/ouD9IkDhGCcwNYH72HHA8VVA3rmnIo6c8LwcIh+wRoUbRex+OX44yVmRWwDk1HizGKj9F/eJxI3bHWBvSWih3cuFtbctUDHodg2zY+z2R1SVxe39EZVh3N4dYch9grGvHKG72/bO+cpjZN5t9O1FrBIdIOyc2mykUXurBzpflVFrpZgh7hBmiBt29Esu61a/ZZgh7hTMukPkJnu833Z0vvEjV0LgdQULwp3jDpbls7aEO4cd6trgQBBlDucTZwM+kvjPXYgiCKhrQgWG3Uk4o90BZNm5XmTyk6yEKZLtuldEhTt5bwQDdS3b77l3dnoL48b9tuQ/5D98LopfmRneaSuIP7ziZtLC7BjGuVIqY7GrLPZVjX1VY2csbldC6LfM0RG5V+ZC0FVA5H3F1D1OH6v350w3dKCs4+c7e5mfrtPBCslmTjmXxizFnVK/Odxrqd9S3CXrN4bXy5Pf7o5tjnMK/MgWlgmGuEPyDOBQV6itzG/Z2sKSQe3iy7nynwS2GZ5wqlx4hR3PJDiorYhWkJcsehxp10XkoWmXS1CBrNwp1qnxVpVDfbrJzb08N4H3bmLzloXZWez2R+x2Fg+7dcCuqnH//oAdWTxsd8DO1LivOsKQxW1Tw5DFniyMI/MKNuouAYAKtre9co1ed4aqoCPUyY6QnzTWaa+BOQe3rxivp6xzMMfiXmtb6mxzZFwjQehMqGGcS8XgwAaWDe7YCpYNHqp3ONoK7zzucdwZVMbiWEvst/jN5SbA7ATfUUITzZFgIRwBJtDOPfbWuWDpSLIS1AjfUIzEvZtl+dd0duxiiTy6EKjd2VZUx9XSRqt4n7n3kXf9WepuS/ou69Q4SegQVYyq8kq8xt5Y7E2NW1WN+3aO0KuDI3JR5HuqGxIHhKhjjXyo4XdcLgk/Y92bFGsbeu2ftzlgnXwEna4Edwqmxp2CqXGbDj+jrCnMEPcml/WUmKW4HUy3OXYzCbdpordM2DnXiiEhcMuEnbGwIFBdYW+ExCtTgSvgWLF7cmG70I/cfBrFuCLgFE/WTK07xVVCxE8eZ/S5IYiXQeS5iU64O51+SFZzmiLw5pkrcEMh+d6GH0YmON2d1e5kgY/dQ2JCdxKdUu1q3N4fcWsnSnxvajxw6yHsyOLhu7vYmxoPM3exMxb3mYP4yqlG5VR5BeViSQxzK+jGz51tJWoG6KoXrVrGTFDpfJwSdw1MjTsFM4W71W8ftwqIaixurG67+dD5a10vNUSN12xwYPGNP2T3OFqD29UtHGwFA8axkvMPtkJtDSpjUNcGNYDj3mHvAYBBTokbN+npJz+74cvU8A057oFeHAQVrQJGs1zfP9o2tzBoxITnZRC5tlwMebiqE+jfBNSwhpthjlLigSpviR/wqzPJMMhYp8YlxNAr8R2JX/y2OWJnatw2R+xNjdt0REXWKfKQxCNulAhZm2ZbvDOmrFZ11pkkGojHN52OPg5T49ZM2HtM5JXqUpge19spy1rDYO8msTtlPVP9elxvU3CvqX5DvA7Ju+Osuw5+m2WDmoTMK7ZyjgEOqFDDtCRe73Crkndx7t2nMQzr1oOIAGSnstGdWwt4xLfzzksmYnzUqyyTDj+cGEt+eUQeWszFohcCAdFJhubFD6Tunp60K3lAFhvAVqwUOsuKzZ3Ffl9jV1nc3h1xe3fE/bu7uFXVePjuLm6bIx7YvRN7U+N+cxeGLO43d1HBtooctteJYkPcOJH3VbzeDzjCVFZHh6Blna/KDL3HYg7hmoRKTOEuganTW7KspZiluGvUbynuueo3htcSecQNg1ZMWLSK/MA77HkHawz2tsbBijtlR+JiMWAc2YAA3N1VIGLUx0oWDrm5NOODH4zwhakIqFnxCTc80/OLh6TuFwYtGz7e2OUTec4GZn+bN9w3d9Guz7zZDkglG6/GZXVmZWwTH74zFjsSZb4zNfamxp66/0LkR1TNRKfNErbe7o8r6RBidadh79E2+FYROZUTSORUBwuHwX3cbnoac0+16nx1DzNMr5RwYphwuCGmPi6V3pj6DXFvZv3201uzrG052zwZV+49FMFTLce74yoY1OAG3xADVhT5nmrAADtTw4KwI4udadd/VMaitqbp+6LAGYz2ZevdeTZS0SqKV4A4J+V4Si3Vn2PXR+ShQg/ugi1ZU6+iG9+W/u785nCuFaok3HBf1U2o4e3qiFumxsOqAx5e3cGeRInLp/y+zxxQQXzlALB3S8Uq1bhiHSrmL4/v61/snkKh7vZwlj+0EG8JzCHcjt+2EDc64UjlmBp3ybKWYqZwL6V+S3DPVb8xPBtR5H5C1MI02w8sdPaQ3aOGQQWLg3sy4YErHIyQulfnD1XSR3eVBXONu6ZyL1lnwD+2wyZ4o0foLe9QqM7PYNdH5CXWI3t0/bY9VS4z1uh4Z7iJOPFK3IcV7ptQQ6/Gj6LEHWlXZLF3iqOnuAuIWzf6XESF31eDUFGrcAyk8VcF47iou6cAEwBqavF9tyvBvRTMUtxY/QJAVTARdSllzWHq/b6srRoe35bm1K9xuL5uZZ91fm4xy6bJYwULo2/uTtUbWNSORPfu2L2p5cFXTX9mF5ign5EEJ/7YkXR3VN9Y+FsqYLCOJJ58vgIP7WYQuZ7c9Kbumr2l+s0QSU1aeEVO8gCsXSVuFfmvccvIBOd95oDbdGwU+X3mgD0dcR8dUJHFfeQVuSNy2ASJdztYO+uvh8c6LDGiaFKr4kBuAijfsKZgpnAbtTSA253w9e6kaZgN7kzMFG64AGZqWW96/WrcqfWbw6x7ddBV6X6CtmILEPCQmuysmOUmwBYH9zSs20YcdLfMsQlNrI2RSU9ioGLAUmeCs8MVnW3UeUMYEEx+nsluBpEDbaVlRoCtH6v7qduof4IhAPjnpcid232H3MWFoG1D1F6F+2gVv31IpaQ6QBXpkKFVxE3jrsA94tH7e+dGyKUEE0BXiXCbhu+MKdw5mFPL2vfhTqtfAIgddq6yTq3fUtw12tIQZgPHbTrN8U5lG3iypobgKzBAFhUzrOuj1il7w0F/JlaKvO37gPAC6Xw0xL28op5rN4fIlXUXBbmNPXcKWiXu3Ctwkx3+qYaVsdiRhBzuqD+5uaejix8XJV6BWxeLm+gsUdxVj8xbq4K2bdBdUrAHNyM13Xn6k4PUO6afn3JMSRPYEzf7+hNmcUyNm8JM4S5R1qn1O6WsU+o3xPVphpgowL3m+m3qlVrFvlf5qbxiJ4YBCaE74eSVekUWd52ffE81anITqkRNv/Z93bj+L+GHnOYM/w/36VwqTNQG051RjQPXTuSxuPKYDdUp9Y/RS+v192axD6nwQrVyLyTx0uF1quPFStjbFigXG+CJnzGtkKZgWnV8m9x0zFLcOWWNEcwYzJr1vvXrV9LMl/Wc9RvDnVK/HtNj+RGJ5IdazLB+SGYma7KouUJF1vnTRZn7fpvq2708RXghlm9AuVNiZiQK55R23UQ+xSJ+L+/78pOcROxutH7oZZvwwoas3ZBtT0fsUff275VLJUfcQLrxVyrbVeQOXzM3x9Vo51oaVaPcHjGLdbYhTI/rMeFwrc9HIWYKN4fpj/Nlteq8U5Q1V79Tyzq3fgFPeDnXTBdT446pX+C0bSl3TX0Z5YbWjki0C6ZxN5HLFxvnUqFm4hMEVNg353q3p1+417hWoPp+giMGpglWtesl8jGvd0EwEZqyZua6e8eutCL3jYFa/7c3r8L1RGbOZ5hTiEMdT+8LO36YZjhJHhtml2L6/R4TDrdRUoWYY8qp9+uy6mF6Ce4YYkth+nTOUVY0kRvTy1py49D75rSlJepX161W6JImd0YEWqnXSqlbcCf/Qt4SrVKxGiUHarzoNXwXSubXS+TeBghdP7Std0f1IUb+eyfZrpJuh2DBJKea/GxdK9yQeE6BA8MEXuQ8Cjp+f3/3Z5jmLMwUbsInm8IcjRvB7LgjMpga9xT1m8Idg2nRJ/T+/nLMUtxV21KI2XMtBT96rhX5XjtV3rhW0E56msYNqsSacoFK+GGYD4YueBNDDu7wy5p2/UQ+1XSDDC6c3mU6qrr/DIRmsU8iOqJ/fGtjSLyKsEWtlL3v+KFSDtPRNqTWSjDD9IYwQ1xvpWVtjlFlHYs5t359emNwr7l+UYC7ZP2m1Lk+NjSDblRNO+rtH60fF915e5c+qIkjd3suVIl7u9FE7hV4X4knTgjcKtr0pKX3m4eLfbQaB2ToNjSTP0TisQ6AYJ8sTc6TTf9cnZ/pmAAaRRXr+KWYpbhefuVuXGNwt/oN9/Xr16d9zvqNkTmQmHAmcbNI2CFc2KF3xQhx15AXTfiFRqn+TQ15l9sl+M4vZGBwPhtT6SGpx1R26lnTKZtD4oao+Y9ZO2mqlUlfoY1xMWhM00l3wM878Lt/vHIBJDCj5wVlDTFLSSbEjJV1Tv2m7FLrN1XWEHNqW4rlLcT0aefCGVPWvnkrNooORuClceEB9iUQuLd7jsiTpglWXdjUc5aBdtgWf6phWShYCYnHGr/eVoGyZONxSoitSSfRyYcILkZyIeZQWWOYYVlNoqwxzFRZc5glZe2kH8HVmAbXVb+pso6p31xZS2+WOTLvbovMRWXElX97V+59ojG7JPLWdrOIfEppggtDeogVg1CrNkPrrc5Uw+OheN6UDSnS3P6w4w9tn4IZdkCffio/TRrh+QXqe6isqe05pTgFM0WsJfkpxdTEqjFzaefqtxQ3ZSX1OzbNkv2dYzu47bZYv+ue5wMTbJbcO6Q+h7BXYNXZPnIiejyA7wHwnhCn1QuY+Vvmpntyo/6S/ZC8daQKEB+mpR5KlFqWXBLNoMkNwTZtzWQRESwzKlDHt9qGq+WHz2MwPa7H9MdpP2cOU+PG0s9h+vylylqCqTGm1q9P75T1q22J+g1vDCnMS6jflL/c48SoWC/f97/1Z+fYSD/WAo6I5SxClyem2Bne1wksc+84AnguMz8RwMcA+AdE9MQF0p1mqcY28WKE4Ura2snO9krpkMNQjU8hcT1E7eEHw1d9foiXszGYseO1DWHmlHjZZNwwKeXydAn1G6aTOz6nzGM2hcT9vlxZSzDDvIfpjsFMuVi6+/r4ncV3iWejN8dS+6L0QZvrUhm57mV08nMTYObfZeZXue9vB/AaAI+bm+4sc3fS6PbcOf5r5sJW8Mvzu/5xvRy/c3zQ2LR/sYTEvZnIH4rOCxt6d1uelJfBDLcNKfEUbu68IczhPJ+/rCWYU8vabB9Z1tR5YbuJYS5dvzEyD33m2mUZLtyT7y2Z+/Ue/pjQpk56Dm4/gy3qzSGiJwD4cACvWDLdIePRqzzT+zyf6YmQKhO1AnSHb6Ea199LIihSnSBmMZJLqalYR0+pp1TnLsGMkVyqs/c7bh63k8eEkk9hpsnifGXtTiSOwzxXWUuUeWlbKsEcPt/tDyZc9b7ucf0V1H3c/vbOgiAgSsod3gj3N+e1O8by0hxbLI6ciB4B4IcBfAkz/2lk/3MAPAcA7sP9c8FGHJv5Td2XqMYuXv/BWPKcFT2B4reHfjn3gm23zafXH5rnOgEi53mrOeFLVT5HIO5zbfKQGUbnMA2MWy1HUZ95iJsbXpeW1WNqy5W1R0AT63dOWVMjnbGY2k5ZVp3eOdqSz1esfmM+c3+ejjMHSXx5s4TfxZP7rMp26bNG9eeK2sfZdkzxwaVGqYS2CJET0R5C4t/LzD8SO4aZXwDgBQDwAD16XMxPieXufpFGlFflKTdJ2tfWHKNIvN3mzx9P4iXPqvDrhMPOAKDTCfv5no6pibVJ332EJFeCObasfgYpRawxzBjulLKG9Tu2rGMwdVmn1O9Y3FRbWqN+Y2TuzwsnQSuSV19WYByafNnmUbddXBt9tnzStZJS4kT95fw5GyNAR9oSUSsE4DsBvIaZv2l+lha0Ucq9H3bYPIdBL9NXEyidF9yqY3z3M+iTeIlPMdYJYsNT2+SFop1Bp+07YnoxxjxMn1aM5ELcnGJLDcN7SjxBrKmyDhHb2PoFEC3rUP2GZUiVVa+q1GmNrd+l2tJQ/cbKugRmLoJGr3S1QEP2oevEdJ4dqbe3PvWhB2dllXmMZwyd+sm1XbgF0vhYAJ8J4BOJ6Jfd/6cskO6ilnShqO1DvN9OnHT9cLEHYnUIewaJF/twAyLs+XCpvwBjSczYhKTHTCk2AxPEeaebY+74mFuhlNim1m+qrNpi9VtRfg5i6Pi59XsNbalTjsTcgD5Hb+v2Mf24DOdK8a7QIPZcGxHySvt0wnqyzVbkzPzzOEfRyL2detE045sNxS9waKGrpfWnu9/ok3jOp5gjDRPJrG0ao+mouFAlA61vsz9xtQxmZ9uQ3zjSsf22GKbGbdJLqORUWWMunDn1K/v7ZR2q3+6+dFmj8wEL1O+Usp67LeWUucfv+M3ZP1PF+cqJO+8YrcjiwK0iTy0K6nlntfgDFmM5Iipgl3G2aNTKNVjvvZ3+Z6PKtbqOPCArWNnZxJn3JoGg0vHbxpO4ASU7vN43pIT6URZpNTQFM6VYY7j6HJ2PFKbGHVLJqbI2+xaq31RZu+fHr0kO0+Pq4+fU7xJlLanfU7RfjwUgMerQeQrTDsIPXWCC7sfNiyWUWzTqWolkf/Yk6MKi9CKffkgLhO0UvUhipCVfItsJP+wO/UpIHOp4IK5OK+rfc2tOKLaISg6PCzGj5cpgGlBWOQJdv3bOleDTS+GG5Yyf38cMcafWb1jWMfU7ZKmyesyYjanfqW2pPbY/Coml749N5WVq/QLoKfPONgBo8giAgEMnWmUaD/S6hft9qVEsN16RjyL0kQ/QCePHs2+edzYmTrxNO77fby9RjvqvPb+v3n06Q5j62JT7IIU5llCHMMeWtQRzTFlzmOcqazeN8WWNYU5tSz6dMW0pnpf+fETJs1kqtbra/w73Z20kDyxlcwTsjSfyEuPwxRKJZ64AQPPEQ7RDtph1FzDkhtHpIalsn0byU2wJzJzC72KVqbbYvpDghmzsqKM8T+PKWkqosX2nLmtFpiMMlrLS+i1163TO7dRnPM+5F0wsaafwAIyxm0XkRO2/snzoUCqpMIRJh3pNaxRjnvS2hBXFDS9kY9wJ3fPK87HkTWtNG1OOqaRaMu8wxs7ZloZsaj8yQchwuFYk7POhwAutfeVbk0D384x2M3rGBdm9VqHLEcW8mjs3mQzZ3PzclJvWZuexm9VaUi+MPaOd4YmVxRYuKCndN8ZSE3JjrWRCM3/++tde29z8zK0Pb8tdn8uq3ylmgzcl22CozsFvGpjZTAr2FerqZhE5IJUYVGR2hMTxCxZeVKuUZ9ggSs1OuMBLdehTY4bRDOXnldfJ1Lo4FQlNTXdMOaYS8ZTrsUb9TmprM/DswpRHOi8r3uxuHpEHRhMqt0fi6rdvCP7ThzfVwTm6cYcPGtLbfIfzx/vfugOnGnvNttlng/RKbAqm3hfDHOrUGjPELcUMcccQSQzznPU7tqz+/NKy6v1T6jfELcHUNrZ+hzCb35k+FMuj7481CDVoHIFPiDGcwjM9WDs9jRtP5KNs5AUMY1RLYlZthOBLOkzYGXKdIEzLBn/RfBWSeZ4MyjDHlDO1LVVnKdylVfnYssbqfU795nDn1O/QDWsMZq4tlZQzRuIlanyoH06NLb9ku8gFQWx59qKgwTtksNsfnlPjqQagt9cMgGSlWc2sZrDbhQyW24cQ1ZClxxYWBsad4xt5N/IgTmgRpZIhD73d44UTc7I4owwzpaBymP74itpyt8u1qRgzln4OdyzmUmXV26eWNaa0T1lWb1Paksf0aZa0pRIl7km8FUBhHl3/89t7Qqu9HrV/yiMTtNvU93/mIKDNpbtYiPnCwuKeU+RjLoS/wJZNc+FrNqhhmkZim8d+ho1mIO1Rw9X4sWNIpgb3hqe5c6ZghuYx6wQJD5FEHH/4/FhZc+csWdZYXktIOI6fPz9Wv508LVTWc7SlIRvqL2F/s0H/bF2gLeXpua6w/3YsAr3SmqGkXaQijxozmBk0dckto70g+lNvd2Y5fmHDSc6ajTzUXvnJK2KA0T7FslEpTUEAdJV5TJV7ZQOgo6h6ecoQ25Bf8RSYQ7ge02OklOPSZUUCc05Zp9SvP7+0rEvW77nLuhRmSon7c+rmu1flrX9ctofRKnH92nNRh9wQ8sdE4xNMit5zijxnS9Zv2NhCSzfS8UNpffwYxRemM1Y5lpJM55wJw/ceRgHJDKVzjvqdck1Tx4dpDmEOpZPC1Mefui1NIXFtXYxhCwMSUnaNkZbXo8iHLDbjy4ziZ082vjEdZij+M/8PiJ+tZkLNBhXJQ3kMuv44C/GR+8bl/eVamcs5XKTMJc3xk0OD7hvy+VsOcwg3Vk6fnlZxOcwYbgnmJZTVp1Va1thNck5Zh8j5ktrSkBKXfe329pNaNe4iVhrXKFpXaPPP1MyFNf2/F1MeyXg7sdbfNyMCZYrdG4o8UtFDPq5wsQDQH6K1x6pJlMiNox36zVPmMZujnkLTmFMXEw11+FQ5h9LNkfiQ5fI0JpxvTLqdNGaUtZdGYf2Wpqv3naot5WyOEo/NQ3UEVaK/pvpxGOiwuJ1Q6l+nIh9TIblDE/uGLqh7jSuAGjUMKtSw3j/uTB5w3z93qjL3FnsF2JB6Sr0wtzkuoqZ8Xj2m/l2CG+uAGjenzE+N6VMCMKl+S3H1K9HWKuuSmDHckrY0tf3mlHhodbDZcjuCljR8nx1hHMytAX3OuBA3zI1Q5DRmGBMdIpWfHlPq3mJqvAmR0sfNuDOPPXd4ErAMs4TchtLP4fYiIwZGBVMwi2KQS/zJA4Sa257CTNXvmLRPWb+p9Ke0palWd+pdLFZLuTjxhuCbKLTIsQuR8yhemmk3gsjnGGXutpapnQGPDMeG4spDlRAbCrZEH7/oQ8PcKR1+aN8UzNxQOJpG5PhS3NHksXBZS9LNHT8Gs9hHnTh+Sv3m0h27bypmTI23+4Lf7LcPr/PonudHE2UulaFHfcjnOhL9nifyEiud7R57bMzGEuK9Ykv4bS/Jblp55trYG1YynUt9hc+JbSPyzTbbbLMrt43IM+YfPF+NWMaVOzZ8QSzQXoDwVVa5twpdss3Jd+7lFLHXfl2blb7eb+pLOkKMa7JU+4/VRKwfNftOuOTyksX+PU/knYsTuVBVQ+YuyqHgXYDNJyUa4oiXDgy/tLjsVVhj9o3BHPMuxU4avQ473BTXLuu5MPUxS9VvCe6l1W8PJ1IHBm10WMnL0bvpybs9wzcFTboX+nNWesHJdYYfBsZjHrAVO3Rk3Rt0XxkF9F8bFVpOjbdp5MlNN+Tc7H/sbePdvFDn2Gy+g/0e17/xPHrOAOaQpTAHzyssa6x+YyQR4ube5p7CHMzzhLL69Mfg5sq6RlvSmL4txdKX/f1Jzwrx4AHZx9KnVVLNu3YDYZa1mZzMhkBDD11ayK6TyMfc9XKHJvaF7+7zFrv4FWz0HZ46hrzqbO8PGTsvkS0kGR0H3B7bRnWEHTBmY4nNbw/JPEVwOcw5ZfWYAJpreMqytk/ym1bWmCqeWr+nKOsabSmMY+9cV5IyamL3ZK7rR5N5Rf3FlIYsKtZ1b92xtjjEkAldngiLMobsT6jWb45rJafKIxU45O8aUtgpq8BNpYaVG23QA0PnITdMbn9OIeX2jcGc6gIIO3xFVIwbG46fo6xzMYdIXGOGZS1V+VNuWCX7z12/ubmi8Bzd31JulBJLCTggwRcX9J7Y61TkpTZKuTOIuhfTEMOg/QdEgYtvTdwr2i9uoIeLcNvdZ0aJpzpfjriANoQtVI6hmkrZUGfP4aZU8hBmrpxDmP7YmDKfU9acn9aXdU79aoy5ZT1n/fo9wOnbUqqcWpnrHPlzvCo3aNW57ofSL627OTIqts0xzb/ykzf9f4yQi9VL8/jT89jNUeQlFr2rlp8ec6EAXRWQm9xcksT9vpzKGztBpTHHRlWUKscpJBPmqaRuYpidbYVpTK3fXBpj6nesMs9NHs9pSyWYnW0jy5oqZ9w91cXopqfzNU2dDxb/coR4Y9ejyIlAM4Yy0eiU8NOZoe5dXRN4lfhuwCrCxe1Hn8RLJt/CRm0SLad964uJKseOLzliQ+o0h6sxgYT/egA3RuJTyjoXM4V7CfXrz12zfv0RJZgad079ppQ5gEade2UOlmeSV+SfccQdH3hFFgduZ6pSgqznnSUk/eNzQhGJaPHlfveWIsfwBei4VtAOuToErlwqaZXe2ilI3O8zifPHWAxzCFcf3903XuGWljWVxpQQt5KyDtVv8YhgBInrfWPdQKn9l9qWcpglcy9d9R033z8rsHOLthOehmzHfZq0Uyjwhf3rF6nI576vEwB4qKKC3UQY9IuVxKnq2PGKaDESr6jfQcN3IOaUY3hcm26aIHKYBtRT5joCIcRNEdCYsnrMbh6nl7W0fofKWoLZ3U+jMWPp5+r3prQlAIPKHE0eARBwYH8eR5+zknO5UOMrD3fIx6UuClpEkRPRJxPRbxLR64jo+UukeQ3WJXAu8smNXdghaQ+psLRa9dv0X5tummTG5CWl4GKY+rhSkonlLzeplitrKcmktk+t3xJVHGIOKeTS+h0qUzfNtL87xJzqOirPS6T+C/pPaqFesa30Qs45AnY2kRNRBeBfAHgagCcC+AwieuLcdJeyQWUOgIMLR8S96JXmu19YgHbIFjPd+KOTQYVqPNfYKzLN/qFOk7MY5hBuCnNsCGEpiecIbsjGquIY7pSytljTyxqmMSWcb2pbKq3fmE1tS0Muls65nfrs7m/mqxo//GkeUub5pYRnTmlLKPInAXgdM/8WM98F8P0AnrlAuuNN4gd746LscKiw/lOTn2NsihqfY7lOP8X/mbM5nb7Uhkj3WmxMOabeoJe+HudsS0M2px9pQg/XioRx5KHAGzSfrxVIfYmr/TgAb1C/3+i2dYyInkNErySiVx5wZwHYy7SbQTXlNoZo8mQwr+bOTSZDNjc/eRVbnvackdo1Wq4VmSDKbK5dkr/8bLzDzC9g5o9k5o/c4/a5YM9u99pTpsPJx5zl3xk5r+bmvHnmFDY3P7n6GJP2mOtzEyzXivQ7PO0CN7iVXOlRW4LI3wTg8er3g27b+Y25/VdW9GaPAdMXPvVS18E0zkw2U1+gPMXO8aKEuWR/KTamHFOJeOnrcc62NGRz+pF+b2f4ZqDwXb00VnL7fK0gKpYg8l8C8P5E9D5EdAvApwP4iQXSXcSooFLDC8ZMnYuqL7hvCP6zfa1bN43u+wX7eQhf+xW+Tdx34Lwys81+G6Q3xmKYQ7j6+O6+fH2nyqnTzWHqc0rLGstTSf3q/VPK2mJNL2uYRmn9ds89X1uKYY5pS6n+MPS+0LDczSsaXf8c/eLlQvP8UsIzp7TZpWPmI4AvAPDTAF4D4MXM/Oq56V6DhTGquZe+epuiJobIZohkbPAXOyaX1lBeUiQTw9THjSU4fWyqHENljZFTCrO0rCX1GyvrEGaK3GK43TTGlzXEjKUXYg7V75S21M1L+t2w2XQn9MuOreT85hkva15kQRAz/xSAn1oiLUAKNHdR0OAdMtjNjMELWPJy15oBkKw0q5kBtyjIq4cKsqjBkCxyqECwsDAw8hAgan/LIgmv+IfVUUrNpI6LYXbKlcHMkUy0AyrMcHtpWXMkkyurx5xav3PK6jHD9AxoFGYs/RSmz+NNaEtA/32e3RdK6zy6/tecN9xfQ/MjceYgoM2le0l+cW33WpDF4IXouFRAjVulVn7xGqYdsiX85frBZ7EmHDbKnIslpWz0vtKhdzSvIzD9fn18d1+ZyhqrVi36xw+RTCxPS9bv2LKWqtXcqGNMWcNtQ5jnbks5zNClElPiuqSpBw36/lmDpN/632xg2cAyST/PqfZTkPfCrpiLXKIfNWYwM2jibHOHwDnx6cwykJrcrNlg7177UbNpX2wAAhjYE6NmtE+xbFQKJitzST/XCdOEEfMt6jOBtJoag9nZljkvVk5/rleOORvjQw0xlypraf0ucU2nltVjAugp85xdUv0OKXF/Tt18959dYq4DsZUSXz3PBqPLDer7HGXOJ/Cn31uKPFZ/I+o0rb61io/sV0O/9px4Ix2jNrWfMqae8iSey2ff7xriprYNYabKmUpX7xurxEPMzraRCndO/cbyXVq/YwhV7x87WhpqSyWYnW0jyzqVxPvp6XxNE32Dxb9A98r1KPIpxs5hXXQsucjFbrSKH3b5O7wMzwg1G1QkD+URpR36Qb0Cb/3lXpkDrTovVeY5y3X21OSQx2tz2/fp5nBzSjw3IZUr5xCmxl2yrKfGXLqsU+oXwMW3pSESt5FzvBrX+yyojSYDwTqXSs3iXvHHNP/culCb/j9mwjNWLzMmLqfYzVHkuYqLVPTQ0CiMMS01aTgujXBfRtXFlEfqnNL9uQ6f2zcGcwzJdNKIKPOxoYvazlHWuZililfXRakSD3FjyvzS2xIw3B9i5+j+NlWFA/04cm1RvjiBi2SqXaciH1OBuUMT+1IXNPS1AaLQK2aEr8uWB9z7Y9rnJWtlbpo0usocaH3G/hyguzR7yDetO1fqzed6JOBTAtBTcd1ylZF4DhOIK0ddP1MwS8sa8+mGZU25fKaU1XNLSiWfo6xT63dMWce0pVgoZYg35E7RPa7uJudUtmkUuKTRTnSWGjGSfvLo75ydkPivk8gDI8vg1JPlQ4veWcfhyds6vePEbWNqnrgWM03mbTrxIVGsAwLlvstcx9Pp+2NzDyFKYWaHyglMIP4Uu1LMwfMKy6q3jcEtIfEQczDPE8qaUuc53JgwKLFztqVUuaLzTkmUuCpvFvJFotCSNpN36YzulZvjWplo0WgWZXVw4bXLJbXwoF3tmZ/8LLEp4WZtfnI3lsxQeQTmWJdKk0bGBTAlX+co67kw9TFL1W8J7qXVbw8n8IvL+a0aHxs3LnNdhJ4bdQr/+nNWcrfc80Ses/buXe53yx0bUxHNkLHAN3gNNiffxZEcN6BuxkYFTcG4JiuZ4CxK54SrMi91MRCwEflmm2222dXbRuQFlvN9zzk2ZuH7PDcTO8eLK85pN608cy33kuVR6VyybD6h3fOtqTMSC9qQIW5fGRV5K9DQy5grCrf3zTT74g14qMPn9uduBrl9UzDH3oBix5fijr3JLV3WknRzx4/BHEtw4fFT6jeX7th9UzHbuortC343UUH5/tjbTj6Cqoz8i940ttILTm4EkfOYB2zFDh1xeu6ixxpMS9TquBkXe+y5Q+86LMWMvfh3bPpjOnwMM5vHAsyiF/cWHKPTmVLWGGaqfsekfcr6TaU/pS1Nte57cMXiRJ/uoyYQZlEFvxAXj+KlmXad4YdjGkPJXbSXfOoO7mNjJQARACofLxucE6rxdntfaaRUVOqFu2E8rjxDw7adyn34iaOk2h9QbSlcHz2gcWtI6FkpZqycUzF9WbNElqjbHKbHbY9tI0nWKusQ5tSyxjABTG5LY+s3Vs7mtzvWunNjUV8VddcEGmKAVf9UfbbYyKnwzKj9UjygN0KRD1qE+Icmt0uHW3Js20BiasCrh5gaGUvivfOp33Gmmsac+rLd0S6ATIdPYY51seTyNOWt9CXpdtKYUdZeGgOYU8uqr/mS/vux7TfnGgrPibkqdf9LvSQ95iYF0gJuMTuh2+U6FXnMYsOYUcqd3Sm6ITAM2n9A7vAVMSqSO3zjD1fH+G5g0CfxqUo81rl8mJpXKSk1lbKYEh/C9Lga028F0FHJQ7gxYhvCBNIqrgRTY8yt3yllnVq/U8o6tn5zZT1FW8phlirzSm0zzWfbh6VfWnejYlTsFbrq28SNcGv6f0DqUeFHBIDjPNM8/vQ8dm8o8kJb8obZIeyZSjzV+cZ01HxeyzG15cqVPCejsHKYubKO8dOes36nXNPU8WGaQ5idbSV+/xXaUsk1LVHmct5yttJ85Sy7HkVOBJpRwx1fl/4MfWCQm6mJDNHCoVozYdJEqYhqaGfR+0o8NvmW6vC6oZtIQ5a3vijFllDJOVsas6PiBjBjuDFMjTuoHCdgTi3rlPrV20rKunT9pnBzZV0TM1TmYu1ioYoIYHkmeeUEckUsj8wAu2MsDuoZHimXS29QH3JDyB8TjYgWX7Z1zynyMQu//LALUKRNVtwr3o1C7VBN29CjXwZ9nQOdINxe6lOPYZR2vCUxU7jp88a7C2K2RlnHkHjp+SW2VFnPiZmyYXdSmHa3f7ZiqyVxTehh/+1YBHql13om7SIV+dz3dQIAD3W4YLc/PDfhURKnWpFS30RFShzodp5UZ6+obex14+sj+Lev5FSctqFJN42rMT2u359TjiFuLPxNbx/C1GXVyjxMv6SsJZhjyprDjG2fU7+psi5Zv2E6Y9tSisRT7VeXFWSjqhxAUpmjySMAAg5ucwXuPGelgsXBUX4TgUbt3JYk5X3l6Jr7vRiBL+y/uecUedZGzlqHxJ6LX/UWUxYlai/sfPp3TPGEKk7/pY4J04qRW2xbLL0QN3fcUPqxbak6KynrElZSv/q4GLlfYv3mRj4h5hxBUFLO0F8ODCtzOT7fDwf76UqrQ+cI2BtP5IPKPGKhKtehiD4WtY0jb/3j2rqLFyJEO+AXHyJUv93vi3XAUhuDqfcNdfr4ue05IW4pZog7xd2hMU9Vv7FrOras/vzSsuZuziWYIe5YG1u/KcySCe2q017D0WsbTeYjV05pU3hmSbt5RE7UG7YMLa3lyB24R+YF8alDNuU5ErnOdyqbgjml08t55XUytS6WVuNz0x1TjjH10z1vfF2tUb+T2toMvKUJvUPgK5L5zSLyC4gbuqQKnbqoZ4xNJZrQ5t6wTkXWU21ufpa6gS93fS6rfqdYKMDCRX+heIsJvO7+xI4V6uqSeOdG2GkHcJdn4eTYVPOTX9PPv6yn3s3Nz9z62OzesptF5Mztv7LsjZUBitxaw/d2WqVs7Ih3/nXSODPZ5MhkaeKb+jKEMTeCm0JuY8ox9Ubpr8dyN9rTtKUp13RqP7LsX9Hofwcu2OB3jBe6+wHSefHfVxAVN4vIF7Ieiavfzbv/3Gf6NVLtxSx5FVb41nTfAYcaut+/RIfVmDnc/L6yfMSIvxTT57P05pEnobL6HZuuthipjq3fU5dVX/OlyH8IU1t4TcP+kHsPrD6+f4wPbzwt1dHKI8IbT+SjKnhkkKgm8ZopSeraprxLMdUZYh0v7Ah+m/5rz+fO/jCtobykOl8MV2Omblqpsg5hji1rCeaYsuYwz1XWbhrjyxrDnNqWfDpDYmQ4L5EbWkF/rkGdV76l3q2btJVW+/CMlzVf5IIgtjx7UdAggU+os5KXu9YMgGSlWc3yQB0DFL3NvWZGRQQLeeO5LJIgt2/EC3s5f5Pw2wxMgxktVwYzp4qHMFPpjSlrCabf7jGn1u8QiafyUhI5ksLN3VDHYE5tS23+8qOfXP1205lWv0D8BdT6nZ5tHtsXMcsx0zmEOVgz6NceXdZUTGM3XpGHlroQrXtLu1HkDduWDWr2jdWghmmHbGyaY7WFb/qWbYoAEm+Rzymb0PS+2PkdxQTuDU+XxIx1eI8ZG334c0pHAx43phR7ijSBuVRZo+kW1q/8pTE9rj5+Tv0uUdaS+j1F+/VYQJrE221h2t3+WYOk36p+bNlI/wY1x4duVdnY3zSb0Bd2xcwiciL6BiJ6LRH9KhH9KBE9aqF89Y0ZvLQfKpGc5T4xx6zmUHV4xeN+o6sWZBv3GucQmct37v23+9LnhZ0u1/HnYHa2RUitU+6AGPS2GGaMCGIdPlfWoRvA2PpNlTXMR0plDpU1V0dj6vca21KKxLtlbMtXN9/9ZyCqgn6aClboeTYYXY5YiH4W5zHMV+Q/A+BDmPlDAfwnAF8+P0unMdIXJbw4jRrPp9Hc3QP/mx7C2eBTjo8piHIyzw1rc50gHAGEqmZJzLDzacy4msqrzRRu7PhSzKXKGk03wAzL6tMIRyEp3NTxY+t3ibKeuy11yhGdU0LnHL2t28favlmzcfNY3RF0TLAxI+8nX56HZ9ssHzkzv0T9fDmAvzkvOwsbM4qfOcn9oZUedvkLXsNgD2kYell+SOYV2kbl/eXiPxTTfvPQZ25he/7rXMcvGY62ZWq3nQJzCDc2N+DT8/7VIcyxZfWYAE5e1qH67RxbWNZm24iyNvMxV9yW+iKnf06ttrefobhKzct49ws1kWlR1wqGQpgjO2dMXE6xJSc7PxvADyyY3jjLVVyE0HMXhtWF1RYO0VpoA5AM8GrIc5Brds9HhjQ2TeaANLpSMgfiK+tyKjGlSAEkJ12bdDj9XI8xZKpxNSYAdTnaSboxZU2RaQ5zav3OKau+iWCF+r32tjRE4u02n7/ueo86QuKpfpwi8aR7hXmcOj+BS8XbIJET0UsBvFdk11cy84+7Y74SwBHA92bSeQ6A5wDAfbh/UmYbG1Mh4aHBRSFWyUWSbf3eBiB39yZZWFDDooZBhVqInyBqHQTjyBzkCVtFsgCNOh8ic6BLcjnLDUdjx8UwAfQ6fsxKJqNSmOH2ULGmcKN+40xZQ8zUzTKHqXGnlNVjhumNrd9Y+ilMn8exZc2R+NS21Bw3AzPmSvEkbtEn8RpdIVaDIC9mNM32xtUSE22KDy41SiW0QSJn5qfm9hPRswE8HcBTOOPFZ+YXAHgBADxAj160esgyeOhNDvr4IfGO7nDLk3lqAjSMJ6+IG5KW87pkLsdxEZnL+f1hud/e5iHf8bRLR58TYgLodfy5mBpXYwJ9lSzHpnGHyDSF2ZQrc7M8dVljKnkM5jnKGhvpTG1LS9TvEImHecrFj7fH9re3rhW3IcIRHd5ICUSVTzqje2WWa4WIPhnA8wB8AjO/Y5ksLWCMeEXn6lXtSw6xID7y2oUj7kmGbxVZaTROgXeOZ3GxaDIH+n7zEjJP52l4OOot7PwhZvfY8ZhDuGFMvU5vqKw5JTqEqTGWqt8S3FxZSzCj+RjA7GCMLGuT3oi2dKr6DUk8GtLLfRK3anGe1WHDytUSc53m+n33wJHbz2Bzo1a+FcAjAfwMEf0yEX37AnmaZwv7oZo48YzPXPvhrFpVphub/i3n+H1Bo4006tywtnQInLMxmLHjtQ1RRKycJXkvUYpDmCGu/z21fofpMI4ZppM7voRQtUUJt7B+p7alU9RvKYn386IVeUvi0XyrWPJBm0srJ1bnc6NW3m+pjJzdtP/LfaaesaLv6qGJP1w+9ZtHwt9NmtAKpkyZA/lONdTZY/7JoQiaUswUbgrTH5dTqzkrmQTLYfpz59RvKe6c+tW2RP32J17jNqd+gWXbb47EQ0stw4+5V2L9mFXUSsMDbhQ/y09+JvfKzVrZWSqRtAX1zANhSH4mPNpAgthUmWRx+xTOmGwOPVsitz98Nke4bwnM0g4fbs8p8yn5ymHG4vhL0kzt10RzqvodS6jh9rB+S3FTVlK/Y9Ms2d85toPbbov1u+550l9rGOSeXNpR5rPIe8a5E+1mEfkc00QbxJIDXfdJs6/xt7X72gUI/UVCMTIfcrFI+n2SCzv70OSQ/kdwjMbMEWt68UmbXgoXkWNKySZWVltQVm1z6jdV1k76ibL6cyyG69dvz2FeUv2eui15PL1d9sW29Uk8R9q1i2Apcqsou9QolnuOyMdcCFaTJ0DX/+at5j6Z52wqmQtGfyVfZ3+Qjk67k4dOftJqNYc5NETvEWn26Dixlqj0XFlLyEbbUFlzxBbixvIXs1RZr6F+w21z29IYEh+ynDs07MdTJzkvidQv8umHS5mv6F6Fpy4A98nbm1V3/OZBWmCAuv64ysWTSxw5qSgWATVoG2MYzZLylwPxl8/GfLZDHS/cF1t1ijNhAmhei1Va1piLYZjE8mGfQ5gad6vfOO7S9RuSeFwAdUe/vm+G/nH9gKw2miXev5lptFvlEgj9RhN51nTlh28KUd87y/Ojd3eDChJ+aILzTKRFdCbduIzMgbxCy00O6f3euvG//VWn7b5hzO7x+f3hJG+YXklZG6zCibAY5tz6nYJ7E+o3hqsxgWXb75j5pf7TR/0oOr2yU/dtIOBvpva/t/Py7PqJ3HK/1Srz71sl5v6rm5q7L/fI3D9nRf+WT4OaZMLTeAJ32ypm1MTdeHLfADrJc/9rKFgCRZWz3FBU9gcbUklOwEzhRofAsWRdOl3FOoy7RllTRBpi+pvzHMwY7pz6LcW9hPrNh+12F9/Jfuqo8SYggf0kp3uErZrstGrk7R9X3WQ7xhO6yNy+74BKGu0Z7HqJ/BRhPUzulZ/qIrOKC9cNhQlVcLcXVe6Hstw0usbNAqAi2V6poax3t6TUuZwX888P+C8TVaRdO938D2Nq3NLYXo3rMXU5AXQIPYepcUt8pzE3lk9jav0OlTWs3zHXVOOW3jhiuGH9pkYFIabGHYvZ2Y5p9VtC4uFKa+1KCZ9GCqDpr9YRe2/FdixSLeN+vUS7XiKfauzvqN1/bv4ljpTRErllgwNX2ME6RU4upIlx4J28EYit+2S5TbMRsnY+9Ia4mTokL8QOVGBYVh0+JJ7MpFSu8QPoNew2L/LbY0zBTOHGwjN9GT2mL6c/1wxgaowpZe0Q24z6DXFL6nfqNdW4JfXrcdeoX2BeWwox4xFgSpErf3eNrho/cIUDKhx4J0ocpre/ebGE6+9N3/eDiQhPpGztd3ZeN5FbC5iCaJGhOub+MTZQ5f67nzipWVwrgPO5kXe7CIk3Y67AdVKBm8bolbpW6Vqh6/NyVtLRwxGBN48Zy+tY3BRmDLddheX3p/2fOcwcbgozV78GEfKKEPhWv8uVtWQiM0Xg/ndL0tSLWKmDfpvq2x1jRHmhd0yJ2dP7X66byBMm/nAWmeArmxP/1n8nwBLYEqwl1NagtgZHrnBkiyNXMMw4cIWKLQ7uKV0P2T32VOMhto06qcmiYoIFC7HDKXUAB7QqBgAMMQ4s2w5AM0Hqn3Xu96Us5TOM7ffpQeVhKUyNG1OLYZp68qtydaDzVYq7RlnXrt8S3JtQv7EIk9iKTcvdBT8P8R41CAfeiTJvPtt/6dfSv31ft67/w1I7f5b7h/t0wxHhHL/9vAr95hC5r7jMzS9cku8/9ZCpHV4RrPr3j7uUZ6n4yU5uJz2dCpc3eFfOpQJUrJS2I/XO8v1AuTTKnNuolxrUeYmFt5IhZ8osCCZIswQzhdvtWHFcjRmtAyCp4NYo67XVL4BeOwJwVfUbK2eKvP02v1jPi6u66aPtJKef/PQTm3XQv3W/9xbjCxGJyapYzW4GkfsZZOa2zdp2dpmYmle9kW1/a/84LESRs1fkhKM18k8V7lqpqofsHjDAO+wt3EdHCT0kAgxc1Io8DfHAOxhYVF6RQ0YHRk1zV4jv0wom2hkDyzX0fL2F+eHRmPp7KSbQL2sJpsaaU9ap9au/n7p+NdYS9dt8P0P9aty57bfdZ9L7uPWB12ycX5zwkN3jwDu8w97CgSvc4R0esnvcsTvcdf++j9duJM5MQE3NSL3nI294RPMLOgKy8ZefUZXfDCIPLYxo0UMh/bv5JxAT2HJn0tP7xI9scLAVdmRhmXCwFawxbjJFVEDF8m7FimRCFHREDZlQkTBFyONu/fFgWBgYsu0EXDO0lMwa/3hcv7/jmugqpLBxy/d8B6wQ5iePGaYffTRBASYA1Fx1fKp1hARKMUtxQ0xd1tjwf4myhvULXF5Zl2xLnWisGe03R9xA6//2BA5AAg8gylwmNHdqUlP68NG239s5r3aSkz1RN3HkSPvLw98lkXQneojW9RF5GDeu737eN87+N9RwiOQu6u+kVv37ddYVgWsSkq4rEDEOtfOF11JVe3Mbt8wRe1tj717vJg1WFgbd5QoVMSrsYaj1m1dkW7Wkbt9VoJxy+0LrT0K1jTt1TJO29tP7kYHKYyluDDOFG8MMccdghrhDmBq3pKwl9VuCe0llvdS2FCtnbp/erqNRaqYmUuUd9hYsm0aRv8Pewl27wzvrPR6qd7hT73CoKxxr6e/WGnDtCLwWXujwBAffFcfAKXNqlaBk8kyq/PqIXNtAJXUrWi0KCu6yBLjJTga7CQ9myGSnNaiMKHGvzA24cbEcuIIB4Y7dY09HAICFf9GEJ3WZHG2Hnlq5yDaZKLKyzx3nlchBlcnAZokk1ehDa/HQYB6UetS4McwU7lhMQOowhhlLb2xZw/R0WTW5lJZ1Tv0C5y2rj92OYfrjLq0tRW8gEUXeqnTT+Nq1ItdqXFwsFY62ElXOBkenyI9uopMZTd8XtwqB4ILPOhyS4hWXsRgn5XhqIYV++URuub/awLpbo7/Y+i7olblzk7R3UQa5i0Q1w9QErgBzJFjDosoNgY8GTMDhIA3xznEHBrA3t3DkGgaMYyW4d8wOB1Nhb2oc6IiKLPZUd5S4fLfuu/ZX9pV32wHjx6Ws7jR6PYGUHw53leI4TI07BjOFOwezBHdOWe/F+h2Lu3T9Nqq8417S7pbWBWMDZX7gCjUb3OEdDlaU+NFW+PP6Fu7UO7zjeAt3jjs8dNzh7nGHw7HC8WjARwMcDehIMEenyGsZyZtaeANW84l7nVvjAeh6BzoEzvZkbhXgEomcLUCJRmMtUAXr8cO7narAdpijJju5nbRo7rbu4vi7sdyZDeqaUVvCoZY7OQAh8Xon/nKQ+AZhAAMYNdnpydyAcEDrR/fWTka16sUTfcV9ks/ZUGNPWefGMhJT407F1LhjMefgXnP9TsW9tvrthhz6bX03T0jitSNy6yY7j9bgrhVCv1PvcNdWuFuLKj/UVTvJaU1HjXte0DzR4Q7lM6eQwLXF1HgurpzLrlNol0HkzPFnMjhSZ2aQI3FmbgZYzXevwC276BO433IXpUrUuPeHk2k/zREAEezRLdDZuzv9ToKn7hx2qK1FZSz2Rgj3VlXDPxTrTrXDztS4bfYwxE6Rc0eF68asH6TVKvHItqADlPhwSx7dGXuQ1xjMELfTuQJcHcYW4nbqJDP5F8PUuEtgpnBTmFNxb0L9aty5bWkI0ybdPN3ttnGtVM2nZcIdu8PRVnhnvYcF4c8Ot3G0Bu843MLBGtw57HCsDY7HCvZogINErJiDjNRNR5mrf63KG5Xecg8sO6UuZWYOvgOAte33FHmP8K9fBpFHjC2DTEIFsEXzIBtrAWtkArSZ7HSk7n1XCTXe3Gn9d0ugmsAG4JrARKhrAyLg6CY9D7YCuxjZnandgh4Z3hmyOJL4wj2Za6WScq00SrwzIdon95TFGr7enrIm3RmYIe4QZpP2lWCuhXtJmCW4qbY0t5wxZR5ulyX6frm9afrjHSs+8rvW+ce9ErcGx9otBKplgpNravp/44IN+cF/DzgFbvEhKf5xGeuq74za5plul4sl8iLzD5UA+j5y9n4shqkZfGSwU+BMBD7KKMAcXajUQVZi0kGGVUyy0utoAFs7lWHk4u+rGndthZ2xeKg6whDjlpHPnSPxxnXiSNo37NC1EB6nj9X789WQ6gz54fAczKm4a2NOwU1hjsG9yfU7F3cIM4xjD1/04o87evenU+l37U6UeS3x4ndrIfOHDjtYa3D3jnzauxVwJNCBQEcCHYUP6Ch8If8sn7WocHMUXvEc0xB6LGrlDO/tvC4i10MNT+KRic72H87XxV1fV6PA+2GIVBNAzl9eA/ZI4MrgeDSoKuBoTLP6q7bSwAwYtiJH5D4kkZt/f4y2rlLPk3l4fFsF4YRfecfzNhYzxJ2CqXGnYE7Fvcb61bhT6jfEvbb67ZB84ni9QhMAjs61cqjFV37nuEPNhLvHHWoro2z/z7W4Uxo1XlPXfVKjzxONK8W7UJDmoDbz7fcThCReDZE3/nBrxZ9eAWALZmqGM95PTjWDawYZKzPQZJwCdz5xCEFXYPDOKXADGVIZhq1JfPM7WSnKlTyr4lgx6trAGMbdXQVDjId2OyFwI2S8MxakCTwgLOop8n4n66n2hF8T6Db+1FtPUtYfHaQ7YgozxJmDOQZ3TlmnYoY4a9TvWNxrbUu5em4eMw3qncMupBCAW/xDOByr9tMSjsdK1ovcrYCaQHddpModgqmB6q5X5fJfHdip81aNUy3qHDWDaus+NbnLv/jHrS9I42rhhcn8cog8N+FpDRD6y9mi8at4P7nRrhXvt3I3QPbhQu3CIPYqnJxCr9XvIwAQuBKit8aArDxy1hrvanHPRCFGXQmBH63pELnPdapzUWJ7SQecQzKnwCzFnUI0c8s65QaylbUcM8RZEpMT25vniKvffkU2M+FYu9e7uQdiHY8GbA3swUWoHJ0Sd+6UdlSuvsdG7g1Ro3Xhhkq8xD9uOb5dCh3fnrDLIfISc4+tFXVObYWRrkArQ6WjKHeqLYgAUxEsEcxRKqg6yDJcrlgmTg1gd+I/d94R8BEAG3DlFgoZxrE2IMOody5dY0GGYQyDyP+3BE0BoXsLG3p4fHtcQbUE1zx8mWz4O8SYghnixl5g23kAUWRo3b2JjceM4Y7BLMUdwhzCvan1G8Ndsn5DrJ4yjxzvH6/hn5kkTzN1C36OjsAPjsAP4koxd0TcVXeUEj+2arw6eB+5UuMHBh1to8ZxtEBthX9CQg+jV07wWNvLJPJcLLk3T+B+YZB2rxh1h6wZZNSkRE0SfuhDE2uJQOGdvHPT7gAcAVMBXAE4kAwKCIAhMCzYUDOA4AoAQTAAkFPrmsz97/Z7uvHnjstWWUfBFJ+2GOZY3HDwVYo7BzPEXaN+x+CuUb8h7tr1m7uRhMe10Xyi/9k6t2ktRC6RCwC5T+OJ3Ktwp8p9yKE5MtDwhFbpLkLFuXF1tIp2q7jMOHWerosmYmViDDlwqUTurBOC6Fd4Oh85GwNyYYhcWxC5SQuSuy2slaFT5YZNRoiajfjU2RiQlVBDuwPYMLgiVI6cRa0LLlc+LJFh9xVAQvxMABsjctuwfBIAp8oBoPfMy1wH6+0bWV8aqrQPdTreOLweZinukuU8E+ZauBdR1jO0pVw5e6OR3rFekbvv7I5xRO4/6UgAS5w4WccL3ideiwKnGjB3nQJ3yrw6CJlXd607zoIOFnR0Ctx/+n+nzLn26tzFjPv9QJbYp9hFE3ljemFQ2EIi0SvNpKcRRQ7idpb5aMFkYGr3tL8aEF+4DH24csMzA4ABQ06Rw91UGDIAsELkqITA2RM5IEQvybrfQXkUeXN0f/r4ft1EesxQ5491sqUxw21zMWO4S2AO4d7LZR3CjGEsjZkg7d5+DvazkDUYMqHJcBEoosBbRR5X4vKpwg39wp+jbUf3SpGHk5ydWPKwCLGFQDPUOHBpRK4nPD15xxYG+bsbEWAsYOV9KB1VXjtHN7mH37g0DBHkihiQd4vs5DgJQ5VQQlinzC1c/Lmod9pJHnnn2o5xhG5YPgPy7rS7WIPOdYRSVVPS4VJWSgAluGNERgkBXArmWrjXjjkVtyQPen6gR+Zum6XmWeEEIWyw9GWyisAPXplLQIS5KwKvOohPvLrryPxgheSdGqejU+PHWvgmVOO2Vq4VG/VTRRcCTYhouSwiz5mLXmHTto1m0rM5JlDlRpb2swXIGrlr1gxDALsXBTY+cgNpHCQ+MICamyR7FzzJXZ4J4NqpcOPalLtRpJS4tLtwzJt3u4wIG+7fIyYS+SzMUtyYyC3EnYwZwV2jfsfgrlG/UdxLqN9IYp1zNIn73w2hO1dKLb/pqD4VkbeKXJS4V+akVDmpRUCwVh4dEvrGAyLWoYbcTIAuO+F5eUSeCkPU5l+67FU5MYC+Kie3ilM4tJYKJ+cnIxIyJ4C9WjfiiWFDjcumrqmNaDEAH92nAbxLBvC/Ae8n77W7aK+kyHEDv2M2R0UthTkWd4p6m4sZw1ijfktw16jfGMYF1G/SMxNG0Djy9uf7RaU+Cq2z8M+5UmBFecuniLjqrvu841aG37Vy3sEKkR/qVpHXFnRMqHE/yenVeEm0ysT48kWInIieC+AbATyGmf9giTQBxN0rlt3iHds+RMvHmpMFWwIZI5VK1FaecfHdR3kesjlYmbA8MlDJRWUjxM/GKXLne2cDmTAxEPcLiduFCUCNjkul60rp1FJaoYxo/EyZhg2M73gFuGtgDuKugXki3K1+M7iJY3MKXrtaGkXOjtAZrY/8yK1v3LqQQr+95q4SbxYDCZmj5m64oZvYZGtbdwqrB2P5h2QpV8oS0SreZhM5ET0ewCcB+J3ZuRmyMCwx9JWzU9LeP36UNsU7gGqn2AEYdq/AYkIFiE+c/YIi575xvnH/EC1y6t04AmdDTs2jVeA5/zi6+3pFm+NfBKINfux82hKYQ7jFN7MFMZO4a9TvGNw16jeBe1H1mzs2JHGGejQHN4TeVebc+azuWjcZaoXEnRI3TonjaEHOJ07HWnzk1jo/uXevZHzjC7tVgGUU+T8H8DwAP75AWn0bUuV+gZAFfFw5M8k+InGn1LZxsbjXaYprhUkiV0RyS/ihixMndseyNFJTC3k3itxFqXgC76py1YJzjXmsL1Pvy3SsEeG74zAzuGMxs7iFmFNwRxHdQmXd6jeCOxazUMW3zwZXRK4IvfsIWtnXEPnB+b/1UvyjbVS4DzekuhaXilbkXnGruHG9AOiUahyYSeRE9EwAb2LmX+mFBc6xnJ88tljI2jau3K/KhGo3lSzW8eGLzYSpdbHllkEsD9CxjSJnIfTauVwqAhPDeAXeuGF8ZahGHLTEwUmfuWqmAZpwztqYa+HeK5hr4S6FOZCPlIul8ZfDEbcXe57QGW7i0hO5X/Qj0SlknRK3zifuVm9SLQpcVnQKoaOuxaXif+u48V55MsQ94/krg0RORC8F8F6RXV8J4CsgbpVBI6LnAHgOANyH+4dPGApFDFR5zMXC+mkOXpFTDaokzpscw5KRF1XJRKgob1nwwy5KheQBWp64vWvFR7sgcK0gQ95Z/2Fm5wjFCChlMmBrYGZxU9m50rKOxszgLlK/Kdxrqt+SUQu3v5tJT/UUVGJ20StOgTPk0xE52H1aP6nJfSUeknjMpVKqxmc+RGuQyJn5qbHtRPSXALwPAK/GHwTwKiJ6EjO/JZLOCwC8AAAeoEdPzrWQeavKm7cHaReLl+WQVZio69bN4s8B0LAwMXz0oWFR4mxFttuaAEPuiYisfOPetUJ9n/jAZE9mb3okMsZGNYqFMMfiLjWAW6OsW/2mDj5L/ZZMlnYnPFsC975ymfQUgjW12+8X+xytEPvBRbq5z44S93Nx+nkqbnvPpdLkzS7uUvE22bXCzL8G4D38byJ6PYCPXDZqpa/K230uUkUvFvIuFu8vdyGJMAQ6Hpv3fRL7lZcWxJVzy7BEtjifOFvBpp0ocvIE7l4E7UMWmYTQu2p8oDEPkHnBS2DSSU9qH+tgApiMOw1TcO+Nss7DnIN7UsxBV4smTgTKXL6QJ27/zJSjEK8ncBxdfHjtROLREboOM/RK3HIn1DDqUhmKG5+pxoFLjCPPWaGLhY2RYRAqiDpXytwZuXd1MgAiC/eAlebm4QkdVl71Jkqc3AIgSqtx53KJZr9UrMxRNVMbxRqYc3DXwJyDe231Owf3DJhZVe4JO6bKmSEvVW5fCkG1InBm9akI3BN0isTruiXxM01waluMyJn5CUulFSQcbRgdF0sBmTNL3Dn5NA2LUocj6WaxUAUff05E4MovOnIrOivjFhih2Qagn8cJqmRQyY+wRfyaJ8JcEncNzLVwL72sa9VvYyE/siJ0R+SAIm6/Crz2rhHuELhEqDh/uPd7W9v1iZeQuHaphLaAGgeuTZEDcRfLEJkziVvFx5I3IUpustO9GahD6NageZIitf9Ut8Sukui4eCY16FbcL2updkKdj/NgnhJ3Dcy1cC+trGuUM2GdG0BPmXvftVfoIZG3ROyX4He2e8L2JK594hkS75ZpeTUOXAuRh6o8dLEMkbmfAPUTpC7NjgKvJEJFprT9ZKe8PQTOrUIk/vJGbTfL/7skPqlBz/ArJm2ozdwUzLVwt7Kui5mwrp+cu58BibcLeNwr2/S+FIF7n3chiSddKgupceBaiBwoJ3OgE8nSIXPj4swNycUh0xKxT79yBO5+y3NXlCI3JGn4vMwlcd8B6uxR8823Id3hzoWpcU+NqXHXKOva9XtO3HNhTiD0PJlzh7B7D7xSyhzM7rni9mJJHLgmIgfKyNy9eLVR5u48lhlLeZEDk5C+YfGdkwGMejmFMV3iVq6UxqVi+kS+yKKos4fHrYS5BO4amGvh3iuYU3Fz53tfuQ0IPaLKG/LWpD1A4JLUeiQOXBuRA30y95tTbhb/4KyUOq8qgGVSlMGgyrRx58Y/oxbud0voEuKo8rHQRA+b+elQamLlgjDXwr1XMNfCXausUStR5X6beiYK1454rRtm+Gi3KSSey9OCdn1EDnTJ3N/tQmUOwD+/HIirc9nOQtDuk1V6aN6/qRS5UePJ5OrE6Y35JJNUF4i5Fu69grkW7lplbSxFlJ1JUMUFHWJvt/cUuD8vJPDwXJxXiXu7TiKPWSzGXC0aal4Tp5f0A32FTm6REdeNC4bBTVRKLyxqrhI3p5oR22yzG2Jz3zof9NkOAQOt+8Rva4RgsMBnDomf2K6XyH1FJnzmAPp+c0fIjTo3xk16KoVO3E6ISiLuWOcbDzG9hQ/yKrZzzP5tttk9aDEyjYQnauKWQwIF7r/7fdptEnOlnFGJe7teIk+Zjl6JRLR43zmgwhT1ndZ4l4tPsHZRLu4nubcye2vU/wkIuVTtL91Q1sC95LJu9Xt9uNpCf7UmWr3yMiBtTeI9Fa/SyZL4mez6iTylzIFAneuL10a2+ImMJuLET3jo9GooF4jtHn8qQT1l0mjuJNHUiao5uGtgTsXd6ve0uEtNciaMw5uFdtlEfOicU+8oIPAzKHFv10/k3mLRLDF1rrf7C+F86AC6bhdtgZ+OT+3brs/XCO45zLVw7xXMNXFzFvraE8QeJXDgYkkcuElEDhSrc/mpKt9PcqL1o3cesBUbHp75Qm222WYzLTJp2lfpaYLuhRReAIF7u1lE7m1AnctPpdDD/UqpS3Ldi9NEv2y22WZXZT3i9jZA0pdM4sBNJXIgr86BnkKXTcHFUUq9k/Qi799K2AILKib5Gufi3iuYa+HeK5hTcedYhJSjC3pSE5kXMDq/uUQ+ZJF3f/ZUuj/O2+QQwxF27ka8Ju69grkW7r2COcUy0SWjSPxCjJJDjVOCEr0VwG8XHPruAJZ749Cydsl5Ay47f1veptsl5++S8wZcdv5K8/bezPyYcOMqRF5qRPRKZv7ItfMRs0vOG3DZ+dvyNt0uOX+XnDfgsvM3N2/b+vDNNttssyu3jcg322yzza7cLp3IX7B2BjJ2yXkDLjt/W96m2yXn75LzBlx2/mbl7aJ95Jttttlmmw3bpSvyzTbbbLPNBuziiZyIPoyIXk5Ev0xErySiJ62dJ21E9IVE9FoiejURff3a+QmNiJ5LRExE7752XrQR0Te4evtVIvpRInrUBeTpk4noN4nodUT0/LXz442IHk9E/4aIfsO1sy9eO0+hEVFFRP+RiH5y7byERkSPIqIfcu3tNUT0V9bOkzci+lJ3TX+diF5ERPdNSefiiRzA1wP4amb+MAD/q/t9EUZEfw3AMwH8ZWb+YADfuHKWOkZEjwfwSQB+Z+28ROxnAHwIM38ogP8E4MvXzAwRVQD+BYCnAXgigM8goieumSdlRwDPZeYnAvgYAP/ggvLm7YsBvGbtTCTsWwD8v8z8gQD+Mi4kn0T0OABfBOAjmflDAFQAPn1KWtdA5AzgAff9XQC8ecW8hPb5AP4JM98BAGb+/ZXzE9o/B/A84JTPFJhmzPwSZj66ny8H8OCa+QHwJACvY+bfYua7AL4fcpNe3Zj5d5n5Ve772yFE9Lh1c9UaET0I4FMBfMfaeQmNiN4FwF8F8J0AwMx3mfltq2aqazsADyOiHYD7MZHfroHIvwTANxDRGyCKd1XlFtgHAPh4InoFEf1bIvqotTPkjYieCeBNzPwra+elwD4bwL9eOQ+PA/AG9fuNuCCy9EZETwDw4QBesXJWtH0zRDBc4jr29wHwVgD/yrl+voOIHr52pgCAmd8E4bTfAfC7AP6EmV8yJa2LeNYKEb0UwHtFdn0lgKcA+FJm/mEi+tuQO+tTLyRvOwCPhgx3PwrAi4nofflMoUADefsKiFtlNcvlj5l/3B3zlRDXwfeeM2/XaET0CAA/DOBLmPlP184PABDR0wH8PjP/ByJ68srZidkOwEcA+EJmfgURfQuA5wP4R+tmCyCid4WM+t4HwNsA/CARPYuZXzg2rYsgcmZOEjMRfQ/E/wYAP4gzD98G8vb5AH7EEfcvEpGFPDPhrWvmjYj+EqRx/Ip7lvqDAF5FRE9i5recI2+5/HkjomcDeDqAp5zr5pexNwF4vPr9oNt2EUZEewiJfy8z/8ja+VH2sQCeQUSfAuA+AA8Q0QuZ+Vkr58vbGwG8kZn9COaHIER+CfZUAP+Vmd8KAET0IwD+ewCjifwaXCtvBvAJ7vsnAvjPK+YltB8D8NcAgIg+AMAtXMBDeZj515j5PZj5Ccz8BEhj/ohzkviQEdEnQ4bjz2Dmd6ydHwC/BOD9ieh9iOgWZNLpJ1bOEwCA5G78nQBew8zftHZ+tDHzlzPzg66dfTqAn70gEodr828gor/oNj0FwG+smCVtvwPgY4jofneNn4KJE7EXocgH7PMAfIubDHgIwHNWzo+27wLwXUT06wDuAvh7F6Asr8W+FcBtAD/jRg0vZ+a/v1ZmmPlIRF8A4Kch0QPfxcyvXis/gX0sgM8E8GtE9Mtu21cw80+tl6Wrsi8E8L3uBv1bAD5r5fwAAJyr54cAvAriXvyPmLjCc1vZudlmm2125XYNrpXNNttss80ythH5ZpttttmV20bkm2222WZXbhuRb7bZZptduW1Evtlmm2125bYR+WabbbbZldtG5JttttlmV24bkW+22WabXbn9/7T4SWudpOZfAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sum_fcns = basis_fcns.sum(axis=0).reshape(stim_res[1], stim_res[0])\n",
"plt.imshow(sum_fcns, extent=[stimx[0], stimx[1], stimy[0], stimy[1]])\n",
"plt.title('Spatial coverage of basis functions')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we want to map channel responses for each voxel. To do this, we fit a standard general linear model (GLM), where the design matrix is the channel activations for each trial. Below, you can see the design matrix of these trial activations in the channel domain (x-axis: trials, y-axis: channels, color: activations)."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(128, 45)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"C = iem_obj._define_trial_activations(trn_conds)\n",
"plt.imshow(C)\n",
"print(C.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Whenever you run the fit() function, the trial-wise channel activations will be created automatically, and the GLM will be fit on the training data and feature labels. Using this, we can then predict the feature responses on a set of test data."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"iem_obj = iem_obj.fit(trn, trn_conds)\n",
"stim_reconstructions = iem_obj.predict_feature_responses(tst)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Average feature reconstructions across trials\n",
"\n",
"In this experiment, we are not specifically interested in separating trials by whether stimuli were on the left or the right. Instead, we're interested in how the activation in the model-based reconstruction varies with the experimental manipulation of contrast and attended location. For the sake of visualization and quantification, we can simply average across the trials of interest. Below we separated the trials by contrast and attention location, but averaged across trials where the stimulus appeared on the left side of the screen and the target was not present (to ensure that overall contrast is identical across averaged trials)."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"vmin, vmax = 0, 0\n",
"mean_recons = np.zeros((stim_contrasts.size, attn_conds.size, npixels))\n",
"\n",
"for aa, attn_cond in enumerate(attn_conds):\n",
" for ss, contrast in enumerate(stim_contrasts):\n",
" thisidx = np.argwhere((tst_conds[:, 0] == 1) &\n",
" (tst_conds[:, 1] == contrast) &\n",
" (tst_conds[:, 2] == attn_cond) &\n",
" (tst_conds[:, 3] == 0))\n",
" rs = np.mean(stim_reconstructions[:, thisidx], axis=1)\n",
" if rs.min() < vmin:\n",
" vmin = rs.min()\n",
" if rs.max() > vmax:\n",
" vmax = rs.max()\n",
" mean_recons[ss, aa, :] = rs.squeeze()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, we plot the data as a function of:\n",
" \n",
"1) whether subjects were attending to the stimulus or fixation, and\n",
"2) the contrast of the stimulus (across six levels)."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(6, 2, figsize=(10,16))\n",
"for aa, attn_cond in enumerate(attn_conds):\n",
" for ss, contrast in enumerate(stim_contrasts):\n",
" ax[ss, aa].imshow(mean_recons[ss, aa, :].\\\n",
" reshape(stim_res[1], stim_res[0]),\n",
" origin='lower', interpolation='none',\n",
" cmap='inferno',\n",
" extent=[stimx[0], stimx[1], stimy[0], stimy[1]],\n",
" vmin=vmin, vmax=vmax)\n",
" if contrast == stim_contrasts[0]:\n",
" if attn_cond == 1:\n",
" ax[ss, aa].set_title('Attend fixation')\n",
" elif attn_cond == 2:\n",
" ax[ss, aa].set_title('Attend stimulus')\n",
" if attn_cond == 1:\n",
" ax[ss, aa].set_ylabel('Contrast value {}'.format(contrast))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These data suggest that increasing the contrast leads to stronger activation of the stimulus. They also suggest that the effect of attention is greatest at low contrast levels -- e.g. at contrast level 3, we see a clear enhancement when the participant is attending to the stimulus compared to when they are attending fixation.\n",
"\n",
"However, since this is single-participant data, these effects should be quantified across a group of subjects.\n",
"\n",
"Read the full results in [the paper](https://www.jneurosci.org/content/39/31/6162).\n",
"\n",
"Itthipuripat, S., Sprague, T.,C., Serences, J.T. 2019. Functional MRI and EEG Index Complementary Attentional Modulations. J. Neurosci. 31:6162-6179."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 3: Comparing SVM and IEM with simulated data and low trial numbers "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If the assumptions of the forward encoding model are a good match to the data, it can outperform common decoding algorithms such as support vector machine (SVM) classifiers. Here, we simulate fMRI responses from a set of 1D receptive fields with Gaussian-like tuning along an orientation space.\n",
"\n",
"Then, we train an IEM and SVM on the same data: simulated responses from these voxel receptive fields to 7 orientation stimuli (`stim_vals`). We then score the accuracy of each model by calculating the coefficient of determination, R2. Note that although the IEM can provide a continuous stimulus reconstruction, we are simply taking the feature value with the maximal response to be the predicted orientation. The SVM is a 7-way classifier."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"import brainiak.utils.fmrisim as fmrisim\n",
"\n",
"np.random.seed(100)\n",
"range_start = 0\n",
"range_stop = 180\n",
"feature_range = (range_start, range_stop)\n",
"n_stim_classes = 7\n",
"feature_resolution = 180\n",
"stim_vals = np.linspace(0, feature_resolution - (feature_resolution/n_stim_classes), n_stim_classes).astype(int)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"# Define IEM\n",
"iem_sim = IEM.InvertedEncoding1D(6, 5, stimulus_mode='halfcircular', \n",
" range_start=range_start, range_stop=range_stop, \n",
" channel_density=180)\n",
"\n",
"# Define SVM\n",
"from sklearn.svm import LinearSVC\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"# Create a classifier model for the training set\n",
"svc_model = LinearSVC(C=n_stim_classes, max_iter=5000) #, dual=True)\n",
"scaler = StandardScaler()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We need to define a function which can calculate R2 in a circular space. A version of this function is included with the 1D IEM module, but we need it here to score the SVM."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"from brainiak.utils.utils import circ_dist\n",
"\n",
"def circ_score(true_features, pred_features):\n",
" # multiply features by 2 because it's 180 space. otherwise doesn't wrap properly\n",
" pred_features = pred_features * 2\n",
" true_features = true_features * 2\n",
"\n",
" ssres = (circ_dist(np.deg2rad(true_features),\n",
" np.deg2rad(pred_features)) ** 2).sum()\n",
" sstot = (circ_dist(np.deg2rad(true_features),\n",
" np.ones(true_features.size) * scipy.stats.circmean(\n",
" np.deg2rad(true_features))) ** 2).sum()\n",
" score_value = (1 - ssres / sstot)\n",
"\n",
" return score_value"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We simulate two sources of uniform noise: consistent noise in the receptive field responses (`rf_noise`) and trial-wise noise. This relies on some simple functions packaged with BrainIAK that can provide the user ways to test how the IEM behaves with known inputs."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"def fit_models(n_train, n_tst, iem_sim=iem_sim, svc_model=svc_model, n_voxels=24,\n",
" rf_noise=0.1, trial_noise=0.5):\n",
" trn_stim = np.repeat(stim_vals, n_train / n_stim_classes).astype(int)\n",
" tst_stim = np.repeat(stim_vals, n_tst / n_stim_classes).astype(int)\n",
" voxel_RFs, voxel_tuning = fmrisim.generate_1d_gaussian_rfs(n_voxels,\n",
" feature_resolution,\n",
" feature_range,\n",
" rf_size=30,\n",
" random_tuning=True, \n",
" rf_noise=rf_noise)\n",
" trnd = fmrisim.generate_1d_rf_responses(voxel_RFs, trn_stim, \n",
" feature_resolution, feature_range,\n",
" trial_noise=trial_noise)\n",
" trn = scaler.fit_transform(trnd)\n",
" # IEM\n",
" iem_sim = iem_sim.fit(trnd.T, trn_stim)\n",
" tstd = fmrisim.generate_1d_rf_responses(voxel_RFs, tst_stim, \n",
" feature_resolution, feature_range,\n",
" trial_noise=trial_noise)\n",
" tst = scaler.fit_transform(tstd)\n",
" pred_feature = iem_sim.predict(tstd.T)\n",
" iem_r2 = iem_sim.score(tstd.T, tst_stim)\n",
" # Linear SVM\n",
" svc_model.fit(trn.T, trn_stim)\n",
" svc_pred = svc_model.predict(tst.T)\n",
" svc_score = circ_score(tst_stim, svc_pred)\n",
" \n",
" return iem_r2, svc_score, trn, tst"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data simulations are repeated 25 times, and the R2 values are averaged across these repeats to account for any random variability."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"nt_list = np.arange(n_stim_classes, n_stim_classes*15, n_stim_classes)\n",
"n_repeats = 25\n",
"iem_score = np.zeros((n_repeats, nt_list.size))\n",
"svm_score = np.zeros((n_repeats, nt_list.size))\n",
"for i, nt in enumerate(nt_list):\n",
" for j in range(n_repeats):\n",
" try:\n",
" iem_score[j, i], svm_score[j, i], trn, tst = fit_models(nt, n_stim_classes*3,\n",
" n_voxels=15,\n",
" rf_noise=1.5,\n",
" trial_noise=1.5)\n",
" except:\n",
" print(i, j)\n",
"# print('%i\\t%0.2f\\t%0.2f' % (nt, iem_score[:, i].mean(), svm_score[:, i].mean()))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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HDmTJkiUVPhcTE0NxcfEJ+7du3XrCvvj4+ArHSJjA8/evN/PxD5ncNTaRC/paTyZTt1nDtTE+ND9lJ3+cu54L+rbjTj9N2mdMbbIkYYyPrM/O464Zq+gTG82zV/SznkymXqj3SaK+TDtSmfr+99UVu/ML+fkbK2gSGcY/rhtUL2cjNcGpXieJyMhI9uzZU28/SFWVPXv2EBlpPWfcVFhSyq1vOT2Z/nHdIOvJZOqVet1wHRcXR0ZGBjk5OW6H4jeRkZEVdp81tUNV+e1/klnx0z5evOYM+sY1czskY3yqXieJ8PBwEhIS3A7D1GP/+GYzH67M4M5zE7mwb3u3wzHG5/yaJDxrWP8FZ/nSV1X1hGHPInIV8AdAgR9V9RrP/uuB33kOe0xV3/RnrKZuKyktY1POQZIzc1mbmcv67DwiwkJpFx1Ju+iGzs9mkUe2G/tgveAvUnby5Jz1XNDHejKZ+stvSUJEQoHpwDggA1guIjNVNcXrmETgIWC4qu4Tkdae/S2A3wODcJLHSs+5+/wVr6k7ikvL2Lgzn+QduSRnOo+UrDwKissAaBgeSvd2URwsLGXdjjx25xeecI2mkWFO8vBKHG2jI2lf/rNZJI0aVP7fY312HnfOWEXv9tE8e2U/Qny87rAxgcKfJYnBQLqqbgYQkRnAJCDF65hfAtPLP/xVdZdn/3nAfFXd6zl3PjABeNeP8ZoAVFRSxoadB46UEJJ35JGalUdRiZMQGjcIpVdsNNcM7kSfuKb0iY0mIabJMYvFF5aUsiuvkB37D5OdV8CO/QVk5x5mR24B2bkFJGfmsju/6IR7N40Mo30zJ2kcKY1ERxITFcHDnyTTOMJ6Mpn6z59JIhbY7rWdAQw57pgkABH5FqdK6g+qOreSc2OPv4GI3AzcDNCxY0efBW7cUVBcSlr2Aa8SQh5p2QcoKnUSQlREGL1im3L90E70jo2md2w0CS0bV/ktPiIslA4tGtGhReUz6RaWlLIzt5Cs3MNk5RZ4HoeP/Dw+kUSEhfD+LUNpG209mY4oLYbMH6Dj8f/NTV3mdsN1GJAIjALigK9FpE91T1bVV4BXwFm+1B8BGv9QVdZk5LImY79TQsjMY8POA5SUOf+M0Q3D6R3blBvPjqdPbDS920fTsUUjv1XrRISF0rFlIzq2rDyRFBR7SiS5h2kXHUmnlqe/CH29svw1mPsAXPdf6DzK7WiMj/gzSWQCHby24zz7vGUAy1S1GNgiIhtwkkYmTuLwPneR3yI1te5vizbxzLw0AJo3Cqd3bDQ3d+tM79ho+sRGE9e8YcCNWI4MrzqRBLWU/zo/v3rGkkQ94s8ksRxIFJEEnA/9q4FrjjvmE2AK8E8RicGpftoMbAKeEJHmnuPG4zRwm3ogK/cwLy5IZ2yPNvzfpF60j44MuIRgaih/F2z7DprHw0+LYeu3ED/c7aiMD/htxLWqlgC3A/OAVOB9VV0nItNE5GLPYfOAPSKSAiwE7lPVPZ4G60dxEs1yYFp5I7ap+56Zm0apKr+/qCexzQKvxGBOwfrPAIXLX4PGreHrp92OyPiIX9skVHU2MPu4fY94/a7APZ7H8ee+Drzuz/hM7ftx+34+XpXJr0d1OWlDsqljUmdBi84QOxCG3QHzH4bty6HDmW5HZk5TvZ67yQQWVeXRT1OIaRLBr0d3dTsc4yuH98OWr6DHRSACg26CRi2tNFFPWJIwteaztVms+Gkf952XRBMfjHg2AWLDPCgrgR6eWuSIJjD0Ntj4udMl1tRp9j/V1IqC4lKenL2enu2acsXADlWfYOqO1JkQ1R7aDzi678xfwrd/ha+fhSnvuBdbTRTmO8kOBS1/lHm2y6rYruJ4CYGWiRDWwM2/8JRYkjC14rXFW8jcf5hnrux7zGhoU8cVHYT0L2HAzyDEq2Iisimc9WtY9ARkr4W21R7+5I5FT8GiJ/17j/DGTo+vzqOhy2ho1d2pngtwliSM3+3KK+BvC9MZ37MNw7rEuB2O8aX0L6HksNMecbwht8B3L8LXz8BV/6r92Kpr13onxsTxzge4CCDOt3+RCrZDqtiu4PiSQti+DDYtcKrhAKLaOeNJOo92fka1cekFODlLEsbvnv08jaLSMn5zfg+3QzG+ljoTGraAjsNOfK5hMxh8M3zzJ9iVCq0D8N9fFebcDw0awyUvQWM/fonpc4Xzc/922LwQNi102nN+9ExJ16a3kyy6jHZezwaB0fvPkoTxq+TMXD5YmcEvzk4gPsamsahXSgqdD7meF0NoJR8lQ2+DpS85bRNXvFa78VVHyn+dnlnnP+vfBOGtWQcYcJ3zKCuD7B+dhLF5IXz/ilP6Cm0AHc/yVE2NgbZ9j63Oq0WWJIzflHd5bd6oAbePsfUW6p0tX0Nh3tFeTRVp1AIG/wKWvACjHoKYAOr6XHQI5v0W2vSBgTe6E0NICLQ/w3mcc48T009LjpY0vvw/59GoJSSMdEoZnUc7iaaWWJIwfjNv3U6WbdnLY5f0JrphuNvhGF9LnQkNoqqep2noHbDsFafa6dKXaiW0aln8HORlwOX/qLwkVNsaNILEsc4D4MBO2LzIacvYvBDWfezsb9n1aCkj/myno4CfBMgrY+qbwpJSnpidSlKbJlx9pnV5rXfKSp2pOJLOg7CIkx/bpJUzwG7ZyzDyfmgRAEsK793sdNHtcxV0qqA9JVBEtYF+k52HqtO2U17KWP02LP8HSCh0mwhXv+2XECxJGL9449utbNt7iLd+PpiwUBuzWe9s+w4O7am4V1NFhk+F5a86394vfsG/sVXH3N9AaDiMm+Z2JNUnAm16Oo+ht3l6TH3vlDJC/Tf+wpKE8bnd+YW8uCCdMd1bc05iK7fDMf6QOgvCIqHr2OodH9XWaahd+QaMuA+aubhI2IbPYcMcJ0E0bedeHKcrLAISznEefmRf8YzPPTd/A4eLS63La32l6iSJLuc6U3BU19l3OT8XP++PqKqnpNBZGKllIgz5lXtx1CGWJIxPrc/OY8b327j2rE50bV2DDxBTd+z4AfIyq1/VVC46Ds74H1j1FuTt8E9sVfnuRac9YuIf6+QUGW6wJGF8RlV57NNUoiLDuWusdXmtt1JnQUiY02hdU2ff7TR6f/tX38dVldwMZ7xG9wuh67m1f/86ypKE8ZkF63exOH03d41NpFkj+5Z2yjSAl2tXhZSZEH+OMwaipprHQ78psPKfTvfO2vT5w86Ee+c9Ubv3reP8miREZIKIpIlIuog8WMHzN4hIjois9jx+4fVcqdf+mf6M05y+opIyHv8slc6tGnPtWZ3cDqfuyloDT8TC5q/cjqRiOeth76aaVzV5O+ceKC2C72qxl9OWr50xBmffA83t/VkTfksSIhIKTAcmAj2BKSLSs4JD31PV/p7Hq177D3vtP8mQThMI/r30JzbvPsjDF/Qk3Lq8nrovp0HxQfjmWbcjqVjqLECg+wWnfo2WXaDPlbD8NTi422ehVaq0GGbf7/SoGj7V//erZ/z5v3kwkK6qm1W1CJgBTPLj/YxL9h0s4vkvNnBOYgyjulmX11P20xJIn+9MIb3la9ix2u2ITpQyEzoMcbq0no5z7oXiw/DddN/EdTLLX4WcVJjwFIQ39P/96hl/JolYYLvXdoZn3/EuF5E1IvKhiHgPzY0UkRUislRELvFjnOY0Pf/FBvILS3j4wp5IHZgfPyCpOqWIJm3hOs90F9+96HZUx9q7GXauPb2qpnKtkqDXJfD9P+DQ3tO/XmXyd8HCJ5zxHN3O99996jG36wVmAfGq2heYD7zp9VwnVR0EXAM8LyJdjj9ZRG72JJIVOTk5tROxOUb6rgP8e9k2rhnSkaQ2UW6HU3elf+mMYh55nzMVw8DrIfljZ1rpQJH6qfOzx4W+ud6I+6DoACz7u2+uV5Ev/uCUWCb8sU4s8BOI/JkkMgHvkkGcZ98RqrpHVQs9m68CA72ey/T83AwsAs44/gaq+oqqDlLVQa1aWTWHGx77LJVGDUK5e2yS26HUXWVlzkyfzTrBGdc5+4bc6vxc9rJ7cR0vdZYzZXXzeN9cr00vpzvq0pegINc31/S2fbkzv9HQ2wJr9tk6xp9JYjmQKCIJItIAuBo4ppeSiHiPib8YSPXsby4iEZ7fY4DhQIofYzWnYFHaLhal5TB1TCItm1QxyZupXOpMyF4Do39zdIBXsw7Q+zJY+aZ/PkBrKi8LMr4/+bTgp2LEfVCY66yj4EtlpTD7Xmf1txH3+fbaQcZvSUJVS4DbgXk4H/7vq+o6EZkmIuXvtKkisk5EfgSmAjd49vcAVnj2LwSeUlVLEgGkpNTp8hrfshHXD4t3O5y6q7QEFj7uNFb3ufLY54be7lTHrHyz4nNr0/ryqiYftEd4a98fkiY4DdiFB3x33R/+BVmrYfxjNZs6xJzArxP8qepsYPZx+x7x+v0h4KEKzlsCBPjK6cHt3e+3sXFXPn//2UAahLndtFWHrXkPdm+Ayf+GkNBjn2vfHxJGONUxQ251dxqJ1FkQkwStu/v+2iPuh1fHOF1iy+d3Oh2H9jqdADoNh96Xn/71gpz97zY1lnuomOfmb2Bo55aM7xmYi7fXCSWFsOgpZ1Wy7pU0Bg+bCgd2wLr/1G5s3g7tha2LfV+KKBc30Fk857sXnZXZTtfCx6FgP0x82hqrfcCShKmxFxZsZP/hYuvyerpWvgm52+DcRyr/MOs61qmKWvKCe9N1pM0BLfVfkgAY+QAczHGmEj8dWWtgxetw5i+hbW+fhBbsLEmYGtmck88bS7YyeVAHerb335KJ9V7RQfj6GWcOpM6jKz9OxGmb2LkWtrg0VUfqLIjuAO36++8eHc9yXotv/wLFBad2DVWYfR80bOF0AjA+YUnC1MgTs9cTGR7K/47v5nYodduyv8PBXTDm4aqrRPpeBY1bO6WJ2lZ4wFn5rMdF/q+6GXk/5Gc7U4mfijXvw/alMPb30LCZT0MLZpYkTLV9m76bL1J38uvRXWgVZV1eT9nh/fDt806vno5Dqj4+LAKG3ALpX8DOWu7kt3E+lBb6t6qpXPw50HEoLP6z015TEwV5MP9haD8A+l/rn/iClCUJUy2lZcqjn6YQ17whNw0PgIXs67IlLzhjH8b8rvrnDLoJwhvV/lQdqbOgcStnviZ/E3HGNORlwup3anbu1087U3Bc8CyE2MeaL9mraarl/RXbWZ99gIcm9iAyPLTqE0zF8nc5XVp7Xw5ta9DLu1ELOONnTpVKXpb/4vNWXAAbP3dmfD2+e66/dBkDsYNg8XPO7K3VkZPmvKZnXAuxA6s+3tSIJQlTpQMFxfzp8zTOjG/O+X1Oc/bPYPfNc1BSAKNOoWH1rF85vYy+9+NcR942L4Si/Nqpaion4rRN7N/mjCGpiirMuR8aNIaxf/B7eMHIkoSp0vSFm9idX2RdXk/X/u2w4jVnnedTmUuoRYLzgb3idSjM9318x0udBRHRED/C//fyljge2vWDb/7kjEg/mdRZsHkRjP4dNI6plfCCjSUJc1Lb9hzi9cVbuHxAHH3jmrkdTt321R+dnyMfOPVrDJvqtGes+rdvYqpMaTGkzYZuE2p/pLeIMwp772ZnNbnKFB2Ceb+B1r2cNhvjF5Yk6ihVZcf+w3yzMYdlm/eQsiOP7XsPse9gEcWlZT67z5NzUgkNEe6fYF1eT8vujU5j7Jm/gOi4U79O3CCnB9DS6VV/yz4dP30Lh/fVblWTt27nOx/+Xz/jTNZXkcV/htztcP4zEOrXGYaCmr2ydYCqkpVbwNrMXJIzc1mbmcvajFz2HCyq9JzI8BCaRITTNDKMJpFhNIkIIyoyjCYR4URFlv/uPBcVGU7Ukd89x0aEk5KVx5zkbO4Zl0SbppG1+BfXQwufgLBIZ43l0zXsDphxjTN7bO/LTv96FUmdBWENocu5/rl+VUJCYMS98OGNkPLfE//OvVucgXd9roT44e7EGCQsSQSY8oSwJuNoQkjOPJoQQkOExNZNGN29NX3joklqE0VpmXKgoJgDBSXkF5Yc8/NAQTH5hSXkF5Swdfchz35nX1k1ZnloHx3JL8/p7Oe/up7LWuNUm4y4D5r4YN2TpInQoovTlbbXpb4f5FZW5iwwlDgWGjTy7bVrouckiOkGXz8LPS85tmvrvN9ASBiMm+ZaeMHCkoSLVJUduQWsrSIhjOnemj5x0fSOjaZnu6Y+6YKqqhwqKj2SNI5JMAUlHPAklpHdWtGwgXV5PS0LHoPIZs70Gr4QEuIspPPZPc662L7+Jp25whn57Ou1I2oqJNQpTXz8S0j77GjV18b5TnvJ2P+Dpu3djTEIWJKoJd4JYW3mftZm5pGcmcveShJCn9hoevgoIVRERGgcEUbjiDCrSvKnbUth4zyne6Yvp4roN8WZ7fS7F32fJFJnQkg4JJ3n2+ueil6XwaIn4aunnZlyS4tgzgPQsiuc9Wu3owsKliT8bNnmPUxftOmEhJDUJoqxPVrTJ9YpIfgzIRiXqDrrGjRpA4Nv9u21GzRyZjr96imnUTwm0TfXVXXaIzqPgsho31zzdISGwTn3wn9/7Qzs27kO9m6Caz9yd32NIGJJws9+90ky+w4VH0kIfeKa0b1tlCWEYLBpgdNL6PxnncFevnbmL5w5oL57ES76i2+uuTMZ9m31TQO7r/S9ykmGX/zBia37hc4U6qZW+LULrIhMEJE0EUkXkQcreP4GEckRkdWexy+8nrteRDZ6Htf7M05/Sd91gI278rljTFeevqIfPxsaT/8OzSxBBIPyUkSzjjDAT2/fJq2caqfV70J+jm+umToLJMTpghooQsOdpLUrBbQMznvc7YiCit+ShIiEAtOBiUBPYIqI9Kzg0PdUtb/n8arn3BbA74EhwGDg9yLS3F+x+suctdkAnNfLprIIOqmznDWWRz3k32qRobc5s7Qu/4dvrpc6CzoO800vLF/q/z9OXOOmQfN4t6MJKv4sSQwG0lV1s6oWATOASdU89zxgvqruVdV9wHxggp/i9Js5ydkM7NScttHWMBxUykqdHk0x3aDvZP/eKybR+db//T9Of+nP3enOt3W3BtCdTFgDuGmOM2W6qVX+TBKxwHav7QzPvuNdLiJrRORDEelQk3NF5GYRWSEiK3JyfFTc9pFtew6RkpXHxN5Wigg6a96H3Wkw5re1M3vqsDvg8F748d3Tu07qTOdnj0rW2zZBye1pOWYB8araF6e08GZNTlbVV1R1kKoOatUqsIrHc5Kd6ZytqinIlBTBoiecpT5ra5xBx6HOFNnfTa98CovqSJ3lLNpzOtOGmHrHn0kiE+jgtR3n2XeEqu5R1fIlqF4FBlb33EA3OzmbvnHRdGjh4ohVU/t+eNOZ5vrcaixL6isiTmli7yZIm3Nq19i/HXb8EJhVTcZV/kwSy4FEEUkQkQbA1cBM7wNEpJ3X5sVAquf3ecB4EWnuabAe79lXJ+zYf5gft+9nglU1BZeiQ86EdJ2G1/6cR90vgmadTn0d7PWfOT/dHmVtAo7fkoSqlgC343y4pwLvq+o6EZkmIuXvxKkisk5EfgSmAjd4zt0LPIqTaJYD0zz76oS5yU6vpom921VxpKlXvn8F8nfCmFosRZQLDXNGIG9fCtu/r/n5qbOgVY9TW+fC1Gt+bZNQ1dmqmqSqXVT1cc++R1R1puf3h1S1l6r2U9XRqrre69zXVbWr5/FPf8bpa3OSs+jeNoqEGD8MoDKBqSDXmbo6cTx0GupODGdc64ySrmlpIj8Hti2xqiZTIbcbruudXQcKWPHTPitFBJslL0LBfhjzO/diiGgCg34O6z91FuyprrTZziA1SxKmApYkfGzeup2owkRbC9pd25bCnk21c6/8HKdnUa9LnWU33TTkFpBQWPpS9c9JneW0Z7Tt47+4TJ1lScLH5qzNonOrxiS2buJ2KMFrxyp4/Tx4YQD8faSzOM3+7VWfd6oW/xlKDsPo3/rvHtUV1dYZwLfq33CoGs14BbnOGtE9Lqr9dhRTJ1iS8KG9B4tYtmUv5/duh9h/OHeowucPQ6OWMO5RZzDb/Efg+d7w2nhY9nc4sNN398vNgOWvQv9rfDcT6+kaehsUH4IVr1V97IbPoazYejWZSlmS8KH5KdmUlql1fXXThrmw9RtnzqThU+GXC2Dqajj3ESg6CHPuh+e6w5sXwco3qvdt+2S+ehpQGPmAD4L3kTY9nVlSl70CxQUnPzZ1JjRpC3Fn1k5sps6xJOFDc5Kz6dCiIb3aN3U7lOBUWuyUIlomwsAbju5vkQDn/C/86lv49TJnGdG8HTDrTng2Ed6+0plJtSCvZvfbs8mp1hl0kzPbayAZdgcc3AVr36/8mKJDkP6FMw1HiH0UmIpV+c4QkaYi0qWC/X39E1LdlHu4mG/TdzPRqprc88ObsGejM1NoaHjFx7TuDqN/A7evgFu+dqpmdqXCJ7fCM11hxv9A8sfVmyxv4RMQFuEkoECTMNJpiF7yorNmdUU2LXCqpaxXkzmJkyYJEbkKWA985Bn05l0mfcOfgdU1X6bupLhUbUI/txTkwcInodPZ0G1i1ceLOD2Rxk2Du9bCz+fDoBshYzl8eKOTMD78OayfDSWFJ56fvRaSP4SzfgVNWvv+7zldIjBsqjPRYPoXFR+TOgsaNndGiBtTiapKEr8BBqpqf+BG4C0RudTznH1d9jInOZt20ZH0i2vmdijB6dvn4dBuGP9ozXvpiECHwTDxj3BPKlz/qbMa2qYFMGMKPJMIn9zmfNiWFjvnLHjcGbg27A6f/yk+0+tSaBoLS/564nMlRc48T93Or7zUZQxVL18aqqpZAKr6vYiMBj71TOmtfo+ujsgvLOGrDTlcM7gjISGWO2tdboYzTqHPVRA74PSuFRIKCec4j/Ofgc1fQfJHTgPv6n87vaa6jIENc5zG8IYBvBZWaDgMuRXmP+x0C25/xtHntn4NhblW1WSqVFVJ4oB3e4QnYYzCWTyolx/jqlMWrt9FUUkZ5/exUdauWPCY0/X13Id9e93QcEgcC5e+BPduhMlvO3X96z+DqHbOB3CgG3g9NIhy2ia8pc6C8MbQebQ7cZk6o6qSxK84LpGo6gERmQBc5beo6pi5ydnENIlgYKcA/lZZX+1YDT/OgOF3+reHUXik0wuox4VOV9rSImhQB+bmiox2EsXSl2DsH6BZB2fNifWfQdJ45+8y5iROWpJQ1R9VdWMFT53Gyib1y+GiUhas38V5vdoQalVNtUsVPv+dU+Vzzj21d98GjQO7mul4Z/3KaXdZ9rKzvX0ZHMyxqiZTLVX1bmoqIg+JyIsiMl4cdwCbsZIEAF9tyOFwcalVNblh4+dHB85FRrsdTeCKjoNelzmDBw/vd6qaQhs4M9YaU4Wq2iTeAroBa4FfAAuBK4BLVHWSn2OrE+YmZ9G8UThDElq4HUpwKS1xBs616OJ0XTUnN+x2KMp3EkXqLKfxPSLK7ahMHVBVm0RnVe0DICKvAllAR1WtYqx/cCgsKeXL1F1M7NOWsFAbsVqrVv3LGQMw+W3rwlkd7fpBwghnGpHigzDqQbcjMnVEVZ9sxeW/qGopkGEJ4qhv03dzoLDE1o6obYUHnNHOHYdB9wvcjqbuGDbVSRASCknVGHBoDFUniX4ikud5HAD6lv8uIlVOdCMiE0QkTUTSRaTSry4icrmIqIgM8mzHi8hhEVntebxcsz+rdsxZm01UZBjDurZ0O5Tg8u1fnIbX8Y/Z9NY10XWsM1VHlzHQ2N6zpnpOWt2kqqGnemERCQWmA+OADGC5iMxU1ZTjjosC7gSWHXeJTZ6R3gGpuLSM+ak7GdujDRFhp/wymZrKzXT6/Pe+AuIGuh1N3SICN8wGsapRU33+fLcMBtJVdbOqFgEzcAbhHe9R4I9AnarGWrp5D/sPFdu04LVt4eOgpc5oZ1NzkU2dZU6NqSZ/JolYwHs5sAzPviNEZADQQVU/q+D8BBFZJSJficg5Fd1ARG4WkRUisiInJ8dngVfHnORsGjUIZWRSq1q9b1DLXgur33FGOjfv5HY0xgQF18qdIhICPAdUNM9yeS+qM4B7gHdE5IRFGlT1FVUdpKqDWrWqvQ/r0jLl83XZjO7emshwq2qqFUcGzjULzKm5jamn/JkkMoEOXttxnn3looDewCIR2QqcBcwUkUGqWqiqewBUdSWwCUjyY6w1snzrXnbnF9m04LUp/UtnLeaRDzqJwhhTK/yZJJYDiSKSICINgKuBmeVPqmquqsaoaryqxgNLgYtVdYWItPI0fCMinYFEnFHeAWFucjYRYSGM7haA6wjUR6UlTimiRWdnFThjTK2pajDdKVPVEhG5HZgHhAKvq+o6EZkGrFDVmSc5fQQwTUSKgTLgVlU9zcWIfaOsTJmbnM3IpFY0jvDby2e8rX4bclLhqrcgrIHb0RgTVPz6Kaeqs4HZx+2rsFuKqo7y+v0j4CN/xnaqVm3fT3ZeAQ/06eZ2KMGhMN/p0dThLJuQzhgX2FfhGpqbnEV4qDCmexu3QwkOS16A/J1w9Ts2cM4YF9iomhpQVeYkZ3N21xiiG9p8QX6Xl+UsvdnrMogb5HY0xgQlSxI1sG5HHhn7DttcTbVl4eNQVgJjf+92JMYELUsSNTB7bRahIcK4nlbV5HfZybDq3zD4Zmge73Y0xgQtSxLVpOr0ahrauSXNG1sPG7+b/4izkNCIe92OxJigZkmimjbszGfz7oM2V1NtSP8CNn0JIx+oW8uEGlMPWZKoptlrsxCB8b2sqsmvykrh80egeQKc+Qu3ozEm6FkX2Gqam5zNmfEtaB0V6XYo9dvqd2DXOrjyTRs4Z0wAsJJENWzKySdt5wGbq8nfig7CgscgbjD0tCXUjQkEVpKohrnJ2QDWHuFvS16E/GyY/JYNnDMmQFhJohrmJGfRv0Mz2kU3dDuU+utAtrMsac9LoMNgt6MxxnhYkqjC9r2HSM7M4/w+Vorwq4VPQGmRDZwzJsBYkqhCeVWTjbL2o50psOotZ+Bci85uR2OM8WJJogqzk7Po1b4pHVo0cjuU+mv+IxARZQPnjAlAliROIiv3MKu27ef8PlaK8JtNCyB9Poy4Hxq1cDsaY8xxLEmcxDzr1eRfZaXw+cPQrBMM/qXb0RhjKuDXJCEiE0QkTUTSReTBkxx3uYioiAzy2veQ57w0ETnPn3FWZnZyNkltmtClVRM3bl///TgDdibD2D9AWITb0RhjKuC3JOFZo3o6MBHoCUwRkZ4VHBcF3Aks89rXE2dN7F7ABOBv5Wte15acA4Us37rXGqz9peggLHgUYgdBr0vdjsYYUwl/DqYbDKSr6mYAEZkBTAJSjjvuUeCPwH1e+yYBM1S1ENgiIume633nx3iP8XlKNqow0bq++kZZGexcC1u+dh4/LYGifLjinzZwzpgA5s8kEQts99rOAIZ4HyAiA4AOqvqZiNx33LlLjzs39vgbiMjNwM0AHTt29FHYjjlrs0mIaUy3NlE+vW7QUIWcNCchbP0ati6Gw/uc52KSoO9k6HEhdBrqbpzGmJNybVoOEQkBngNuONVrqOorwCsAgwYNUt9EBvsOFvHd5j3cPKIzYt9yq0cV9m2BLd8cLS0c3OU8F90Rul8ACSMh/hxoalV4xtQV/kwSmUAHr+04z75yUUBvYJHng7gtMFNELq7GuX41P3UnpWXK+dYecXK5mbDVKynkegqOTdpC51GQcA4kjLCV5Yypw/yZJJYDiSKSgPMBfzVwTfmTqpoLxJRvi8gi4F5VXSEih4F3ROQ5oD2QCHzvx1iPMTc5m7jmDekd27S2blk3HNx9bFLYk+7sb9jcKSEMv9MpLcQkWjuDMfWE35KEqpaIyO3APCAUeF1V14nINGCFqs48ybnrROR9nEbuEuA2VS31V6ze8gqK+WZjDtcPjbeqpoI8py2hPCnsWufsbxAF8cNh4I1OSaFNbwixITfG1Ed+bZNQ1dnA7OP2PVLJsaOO234ceNxvwVViQeouikuVicE6yrq4ADbOg7UfwIbPobQQwiKh41nQ5xGnpNCuP4TaLPPGBAP7n36cOclZtGkawRkdmrkdSu0pK3WqkdZ8AKkzoTAPGreGQTc5Dc4dBttgN2OClCUJLwcLS1iUlsPVZ3YgJKSeVzWpwo5VTokh+SPI3+lUI/W4CPpeCfEjrLRgjLEk4W1RWg6FJWX1u6ppzyYnMaz9wGl4DgmHpPOgzxWQNAHCbWElY8xRliS8zEnOIqZJA86Mr2ezkR7YCes+hjXvw44fAIH4s2HYHc5a0g2bux2hMSZAWZLwKCguZcH6XUzqH0tofahqKsiD1FlOiWHLV6Bl0LYPjHsUel8O0ScMYDfGmBNYkvD4ekMOh4pKmViXpwUvKYSN82Ht+5A21+mZ1KwTnH0P9LkSWnd3O0JjTB1jScJjbnI20Q3DGdqlpduh1ExZGfy02CkxpPwXCnKhUQwMvN5JDHFn2sA2Y8wpsyQBFJWUMT91J+f1akt4aB0aFJbyX5j7EORlQnhjZ8K8PldB55EQGu52dMaYesCSBPDtpt0cKCipO1VNBbkw+35YMwPa9YNx06Db+dDA1uE2xviWJQlg7tpsmkSEcXZiTNUHu23LN/DJryBvB4x8AEbcZ6UGY4zfBH2SKCkt4/OUbM7t0ZqIsFpd/K5migucldy+mw4tEuCmedDhTLejMsbUc0GfJLLzCmjTNDKwq5qy18LHN8OuFGeqjPGPQYPGbkdljAkCQZ8k4po3Yu5dI1D12ZpFvlNWCkv+Cgseh0Yt4JoPIGm821EZY4JI0CeJcgE3Lfi+rfCfW2Hbd858Shf+BRrXse65xpg6z5JEoFGF1W/DnAcAgUtehn5X21gHY4wrLEkEkvwcmHUnpH0Gnc6GS1+CZh3djsoYE8QsSQSKtDkw8w5nDMT4x+Cs22y1N2OM6/z6KSQiE0QkTUTSReTBCp6/VUTWishqEVksIj09++NF5LBn/2oRedmfcbqqMB9mToV3r4YmbeDmRc7srJYgjDEBwG8lCREJBaYD44AMYLmIzFTVFK/D3lHVlz3HXww8B0zwPLdJVfv7K76AsG0Z/Odm2PcTDL8LRv/GVoAzxgQUf1Y3DQbSVXUzgIjMACYBR5KEquZ5Hd8YCMB+qH5QUgRfPQWL/wzRcXDjbOg0zO2ojDHmBP5MErHAdq/tDGDI8QeJyG3APUADYIzXUwkisgrIA36nqt9UcO7NwM0AHTvWkQbeXevh419C9ho441o470mIbOp2VMYYUyHXK75VdbqqdgEeAH7n2Z0FdFTVM3ASyDsicsInqaq+oqqDVHVQq1atai/oU1FWBktfgr+PcGZtnfw2TJpuCcIYE9D8WZLIBDp4bcd59lVmBvASgKoWAoWe31eKyCYgCVjhn1D9LDcDPvm1s0Jc0gS4+AVo0trtqIwxpkr+TBLLgUQRScBJDlcD13gfICKJqrrRs3kBsNGzvxWwV1VLRaQzkAhs9mOs/pM212mcLi2Bi/4KA66zgXHGmDrDb0lCVUtE5HZgHhAKvK6q60RkGrBCVWcCt4vIWKAY2Adc7zl9BDBNRIqBMuBWVd3rr1j9Zs8m+PAmaNkFrnoTWnR2OyJjjKkRCciJ7U7BoEGDdMWKAKqNKi2G18bD3k3wqyVOLyZjjAkwIrJSVQdV9ryNuPaXRU/Bjh/gyjcsQRhj6izXezfVS1u/hW/+BP2vhV6Xuh2NMcacMksSvnZ4n7NAUIsEmPhHt6MxxpjTYtVNvqQKn94N+dnw888hoonbERljzGmxkoQvrX4H1v3HmYMpdqDb0RhjzGmzJOErezbB7PucdSCG3+V2NMYY4xOWJHyhtBg++gWEhsNlf4eQULcjMsYYn7A2CV9Y9KSnu+ub1t3VGFOvWEnidG1dDN8858zo2usSt6MxxhifsiRxOo50d+0ME6y7qzGm/rHqplOlCrPugvyd1t3VGFNvWUniVK1+G1I+gdG/te6uxph6y5LEqdizCWbfD/HnwPA73Y7GGGP8xpJETXl3d73UursaY+o3a5OoqYVPON1dr/oXRMe6HY0xxviVlSRqYss3sPjPcMbPoOckt6Mxxhi/82uSEJEJIpImIuki8mAFz98qImtFZLWILBaRnl7PPeQ5L01EzvNnnNVyaC/85xZPd9en3I7GGGNqhd+ShIiEAtOBiUBPYIp3EvB4R1X7qGp/4GngOc+5PXHWxO4FTAD+5rmeO1Th07uc7q6Xv2rdXY0xQcOfJYnBQLqqblbVImAGcEwdjarmeW02BsrXUp0EzFDVQlXdAqR7rueOVf+GlP/CmN9B7ADXwjDGmNrmz4brWGC713YGMOT4g0TkNuAeoAEwxuvcpced604r8Z5NMOcBp7vrMOvuaowJLq43XKvqdFXtAjwA/K4m54rIzSKyQkRW5OTk+D64kiL46Ode3V1df7mMMaZW+fNTLxPo4LUd59lXmRnAJTU5V1VfUdVBqjqoVatWpxdtRRY9ATtWwcUvWHdXY0xQ8meSWA4kikiCiDTAaYie6X2AiCR6bV4AbPT8PhO4WkQiRCQBSAS+92OsJ9ryNSx+HgZcBz0vrtVbG2NMoPBbm4SqlojI7cA8IBR4XVXXicg0YIWqzgRuF5GxQDGwD7jec+46EXkfSAFKgNtUtdRfsZ7g0F74+BZo2cW6uxpjgpqoatVH1QGDBg3SFStWnP6FVOH96yBtDvxiPrQ/4/SvaYwxAUpEVqrqoMqet5bY4616C1JnOt1dLUEYY4KcJQlvu9Od7q4JI2DYVLejMcYY11mSKFfe3TUswrq7GmOMh80CW27h45C1Gib/G5q2dzsaY4wJCPZ1GZzurt/+BQZcDz0ucjsaY4wJGJYkjnR37QoTnnQ7GmOMCShW3VRWCu37w8gHoEFjt6MxxpiAYkmiSSuY8q7bURhjTECy6iZjjDGVsiRhjDGmUpYkjDHGVMqShDHGmEpZkjDGGFMpSxLGGGMqZUnCGGNMpSxJGGOMqVS9WXRIRHKAn9yOo5bEALvdDiJA2GtxlL0WR9lrcVRVr0UnVW1V2ZP1JkkEExFZcbKVpIKJvRZH2WtxlL0WR53ua2HVTcYYYyplScIYY0ylLEnUTa+4HUAAsdfiKHstjrLX4qjTei2sTcIYY0ylrCRhjDGmUpYkjDHGVMqSRIATkQ4islBEUkRknYjc6dnfQkTmi8hGz8/mbsdaG0QkVERWicinnu0EEVkmIuki8p6INHA7xtogIs1E5EMRWS8iqSIyNIjfE3d7/m8ki8i7IhIZLO8LEXldRHaJSLLXvgrfB+L4q+c1WSMiA6pzD0sSga8E+F9V7QmcBdwmIj2BB4EvVTUR+NKzHQzuBFK9tv8I/FlVuwL7gJ+7ElXt+wswV1W7A/1wXpOge0+ISCwwFRikqr2BUOBqgud98QYw4bh9lb0PJgKJnsfNwEvVuYEliQCnqlmq+oPn9wM4HwaxwCTgTc9hbwKXuBJgLRKROOAC4FXPtgBjgA89hwTL6xANjABeA1DVIlXdTxC+JzzCgIYiEgY0ArIIkveFqn4N7D1ud2Xvg0nAv9SxFGgmIu2quocliTpEROKBM4BlQBtVzfI8lQ20cSuuWvQ8cD9Q5tluCexX1RLPdgZOAq3vEoAc4J+eqrdXRaQxQfieUNVM4FlgG05yyAVWEpzvi3KVvQ9ige1ex1XrdbEkUUeISBPgI+AuVc3zfk6dfsz1ui+ziFwI7FLVlW7HEgDCgAHAS6p6BnCQ46qWguE9AeCpb5+EkzjbA405sfolaPnifWBJog4QkXCcBPG2qn7s2b2zvKjo+bnLrfhqyXDgYhHZCszAqU74C06ROcxzTByQ6U54tSoDyFDVZZ7tD3GSRrC9JwDGAltUNUdVi4GPcd4rwfi+KFfZ+yAT6OB1XLVeF0sSAc5T7/4akKqqz3k9NRO43vP79cB/azu22qSqD6lqnKrG4zRMLlDV/wEWAld4Dqv3rwOAqmYD20Wkm2fXuUAKQfae8NgGnCUijTz/V8pfi6B7X3ip7H0wE7jO08vpLCDXq1qqUjbiOsCJyNnAN8BajtbF/wanXeJ9oCPOFOlXqerxDVj1koiMAu5V1QtFpDNOyaIFsAq4VlULXQyvVohIf5wG/AbAZuBGnC99QfeeEJH/Aybj9ARcBfwCp6693r8vRORdYBTOdOA7gd8Dn1DB+8CTRF/EqY47BNyoqiuqvIclCWOMMZWx6iZjjDGVsiRhjDGmUpYkjDHGVMqShDHGmEpZkjDGGFMpSxImaHhmTv11FccsqcZ18n0XVdVEZJGInPJC9sacDksSJpg0AypMEuWjc1V1WG0G5G9eo46NOSWWJEwweQroIiKrReQZERklIt+IyEycUbpHSgki0kREvhSRH0RkrYhMOtmFRSTes67DPzxrG3wuIg09zx0pCYhIjGdqEUTkBhH5xDPn/1YRuV1E7vFM2rdURFp43eJnnriTRWSw5/zGnvUEvvecM8nrujNFZAHOVNHGnDJLEiaYPAhsUtX+qnqfZ98A4E5VTTru2ALgUlUdAIwG/uQZsXoyicB0Ve0F7Acur0ZMvYHLgDOBx4FDnkn7vgOu8zqukar2xykJve7Z91uc6UkGe2J8xjMbbPnfdYWqjqxGDMZUyoqiJth9r6pbKtgvwBMiMgJnOpRYnCmXs09yrS2qutrz+0ogvhr3X+hZJ+SAiOQCszz71wJ9vY57F5z1A0SkqYg0A8bjTHp4r+eYSJypGADmB8OUHMb/LEmYYHewkv3/A7QCBqpqsaeKKLKKa3nPDVQKNPT8XsLRUvvx1/A+p8xru4xj/38eP3+O4iSyy1U1zfsJERlC5X+XMTVi1U0mmBwAoqp5bDTO+hXFIjIa6HQa990KDPT8fsVJjjuZyXBkwsdcVc0F5gF3lFeDicgZpxGjMRWyJGGChqruAb71NP4+U8XhbwODRGQtTtvA+tO49bPAr0RkFc5snaeiwHP+yxxdr/lRIBxYIyLrPNvG+JTNAmuMMaZSVpIwxhhTKUsSxhhjKmVJwhhjTKUsSRhjjKmUJQljjDGVsiRhjDGmUpYkjDHGVOr/AUXsOsrYySp5AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(nt_list, iem_score.mean(axis=0))\n",
"plt.plot(nt_list, svm_score.mean(axis=0))\n",
"plt.xlabel('trial number')\n",
"plt.ylabel('R2')\n",
"plt.legend(['IEM', 'SVM'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that both models improve with more trials, but the IEM consistently outperforms the SVM in all cases.\n",
"\n",
"Next, we'll hold the number of trials constant and vary how much noise is added to the receptive fields."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"rfn_list = np.arange(1.5, 0.15, -0.05)\n",
"n_repeats = 25\n",
"iem_score2 = np.zeros((n_repeats, rfn_list.size))\n",
"svm_score2 = np.zeros((n_repeats, rfn_list.size))\n",
"for i, rfn in enumerate(rfn_list):\n",
" for j in range(n_repeats):\n",
" try:\n",
" iem_score2[j, i], svm_score2[j, i], trn, tst = fit_models(28, n_stim_classes*3,\n",
" n_voxels=15,\n",
" rf_noise=rfn,\n",
" trial_noise=1)\n",
" except:\n",
" print(i, j)\n",
"# print('%0.2f\\t%0.2f\\t%0.2f' % (rfn, iem_score[:, i].mean(), svm_score[:, i].mean()))"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(rfn_list, iem_score2.mean(axis=0))\n",
"plt.plot(rfn_list, svm_score2.mean(axis=0))\n",
"plt.xlabel('RF noise')\n",
"plt.ylabel('R2')\n",
"plt.legend(['IEM', 'SVM'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again, we see that both models perform worse with higher noise, but the IEM consistently outperforms the SVM."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The IEM allows us to build a decoder that relies on a specific hypothesis about how a stimulus is encoded. In cases where this hypothesis is a better characterization of how the stimulus evokes fMRI responses, the IEM can outperform standard decoding approaches like the SVM. In addition, the specific form of the IEM allows for a natural way to visualize a decoded stimulus, i.e. to reconstruct the stimulus that must have been seen on any given trial."
]
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