Skip to content

Instantly share code, notes, and snippets.

@pietromarchesi
Created May 2, 2018 08:10
Show Gist options
  • Save pietromarchesi/0e314ed488294e1ea02ba630cbbc1161 to your computer and use it in GitHub Desktop.
Save pietromarchesi/0e314ed488294e1ea02ba630cbbc1161 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAE/CAYAAAAHcrQrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBFRKa/60VAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116c8acf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"np.random.seed(2902)\n",
"import matplotlib.pyplot as plt\n",
"import tensortools as tt\n",
"from sklearn.decomposition import PCA\n",
"import seaborn as sns\n",
"\n",
"\n",
"# dimensions & params\n",
"N = 5 # neurons\n",
"T = 100 # time points\n",
"K = 50 # trials\n",
"R = 2 # number of latent factors\n",
"\n",
"lgc = lambda x: 1 / (1+np.exp((N/2-x)*0.3))\n",
"A = np.array(([lgc(n) for n in range(N)], [lgc(n) for n in range(N)[::-1]])).T\n",
"B = np.array(([np.exp(-(t-T/3)**2/100) for t in range(T)], [np.exp(-(t-2*T/3)**2/100) for t in range(T)])).T / 1.1\n",
"C = np.array(([k%2 for k in range(K)], [int(k>=K/2) for k in range(K)])).T\n",
"trial_type = ['A' if int(k<K/2) else 'B' for k in range(K)]\n",
"trial_types = ['A', 'B']\n",
"time = np.arange(T)\n",
"\n",
"\n",
"X = np.einsum('ir,jr,kr->ijk', A, B, C)\n",
"X += .1 * np.random.randn(N, T, K)\n",
"\n",
"A_trials = np.sum([X[:, :, i] for i in range(K) if trial_type[i] == 'A'], axis=0) / K\n",
"B_trials = np.sum([X[:, :, i] for i in range(K) if trial_type[i] == 'B'], axis=0) / K\n",
"Xp = np.hstack((A_trials, B_trials)).T\n",
"Xp = Xp - Xp.mean(axis=0)\n",
"pca = PCA(n_components=R)\n",
"Xt = pca.fit_transform(Xp)\n",
"\n",
"\n",
"f, axes = plt.subplots(1, 2, figsize=[10, 5])\n",
"for i in range(2):\n",
" ax=axes[i]\n",
" ax.plot(Xt[0:T, 0], Xt[0:T, 1], label='Trials A')\n",
" ax.plot(Xt[T:, 0], Xt[T:, 1], label='Trials B')\n",
" sns.despine(ax=ax, right=True, top=True)\n",
" ax.legend()\n",
"\n",
" if i == 0:\n",
" xvector = pca.components_[0] \n",
" yvector = pca.components_[1]\n",
" \n",
" if i == 1:\n",
" xvector = unit_factors[:, 0] \n",
" yvector = unit_factors[:, 1]\n",
" \n",
" for i in range(len(xvector)):\n",
" ax.arrow(0, 0, xvector[i]*max(Xt[:, 0]), yvector[i]*max(Xt[:, 1]),\n",
" color='r', width=0.0005, head_width=0.0025)\n",
"\n",
"axes[0].set_title('PCA trajectories with PCA components') \n",
"axes[1].set_title('PCA trajectories with TCA components') \n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment