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Test to match event-base stepping vs analytical solution
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "id": "16c7d1ec", | |
| "metadata": {}, | |
| "source": [ | |
| "# Event-base Decaying Spiketrain\n", | |
| "\n", | |
| "Let $t_i: i=0,...,N$ be the timestamps for spike-events, where $N$ is the number of spikes. At time $T$, the state of the system $y(T)$ is computed by:\n", | |
| "$$\n", | |
| "y(T)=\\sum_i^{t_i<T} A_ie^{-(T-t_i)\\lambda}\n", | |
| "$$\n", | |
| "where $\\lambda$ is decay factor, and $A_i$ is the amplitude of the spike at $t_i$.\n", | |
| "\n", | |
| "> If amplitude of the spike is not considered, set $A_i=1$.\n", | |
| "\n", | |
| "Algorithm to compute this quantity event-wise is\n", | |
| "$$\n", | |
| "y_T=y_{\\tau}e^{-(T-\\tau)\\lambda} + \\sigma\n", | |
| "$$\n", | |
| "where $\\tau$ is \"previous event time\" and $\\sigma$ is \"event weight.\"" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "d18fc4c0", | |
| "metadata": {}, | |
| "source": [ | |
| "## Demo" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "c2585308", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from scipy import special" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "ba78b5c3", | |
| "metadata": {}, | |
| "source": [ | |
| "Here, we create arbitrary spiketrain for $0<t<T_{max}$." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 184, | |
| "id": "b3377009", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "rate = 10 # Hz spike rate\n", | |
| "tmax = 50 # s\n", | |
| "binsize = 0.005 # s" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 185, | |
| "id": "77383d7d", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def homogeneous_poisson(rate, tmax, binsize):\n", | |
| " nbins = np.floor(tmax/binsize).astype(int)\n", | |
| " prob_of_spike = rate*binsize\n", | |
| " spikes = np.random.rand(nbins) < prob_of_spike\n", | |
| " return (np.arange(nbins) * binsize)[spikes]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 186, | |
| "id": "a5f82827", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.collections.EventCollection at 0x7fc5a43c5580>]" | |
| ] | |
| }, | |
| "execution_count": 186, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1800x144 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "spikes_poisson = homogeneous_poisson(rate, tmax, binsize)\n", | |
| "plt.figure(figsize=(25,2))\n", | |
| "plt.eventplot(spikes_poisson)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "37d7396c", | |
| "metadata": {}, | |
| "source": [ | |
| "## Absolute Equation\n", | |
| "\n", | |
| "Convert spiketrain to decaying continuous accumulation function.\n", | |
| "\n", | |
| "$y(T)=\\sum_i^{t_i<T} Ae^{-(T-t_i)\\lambda}$" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 187, | |
| "id": "684e2146", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "t = np.linspace(0,t_max,1000)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 188, | |
| "id": "5628473a", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "A = 1\n", | |
| "decay = 2" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 189, | |
| "id": "681e4dd4", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def y(T):\n", | |
| " total = 0.0\n", | |
| " for time in spikes_poisson:\n", | |
| " if time > T:\n", | |
| " break\n", | |
| " total += A * np.exp(-(T-time)*decay)\n", | |
| " return total" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 190, | |
| "id": "0cb46bea", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "Y = np.array(list(map(y, t)))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 191, | |
| "id": "1f154714", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7fc5a457b1c0>]" | |
| ] | |
| }, | |
| "execution_count": 191, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.plot(t,Y)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "48af361c", | |
| "metadata": {}, | |
| "source": [ | |
| "## Discrete Equation\n", | |
| "\n", | |
| "Here, we assume the event only occures at spike or at probe. The function `get_state(at)` assumes the observer probed the event at time `at`. \n", | |
| "\n", | |
| "- $y_T = y_{T-1}e^{-\\Delta T \\lambda} + 1$ at spike\n", | |
| "- $y_T = y_{T-1}e^{-\\Delta T \\lambda}$ at probe event" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 192, | |
| "id": "e9ad2da9", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def get_state(at):\n", | |
| " state = 0.0\n", | |
| " prev_time = 0.0\n", | |
| " history = []\n", | |
| " for spike in spikes_poisson:\n", | |
| " if spike > at:\n", | |
| " break\n", | |
| " delta = spike - prev_time\n", | |
| " state = state * np.exp(-decay * delta) + 1\n", | |
| " prev_time = spike\n", | |
| " history.append(state)\n", | |
| " delta = at - prev_time\n", | |
| " state = state * np.exp(-decay * delta)\n", | |
| " history.append(state)\n", | |
| " return state" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 193, | |
| "id": "544d475f", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "probe_loc = np.linspace(0,t_max,20)\n", | |
| "Y_probe = np.array(list(map(get_state, probe_loc)))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 195, | |
| "id": "96231c30", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7fc5a55b0f40>" | |
| ] | |
| }, | |
| "execution_count": 195, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1152x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure(figsize=(16,12))\n", | |
| "plt.plot(t,Y, label='true')\n", | |
| "plt.plot(probe_loc, Y_probe, 'ro', label='probed')\n", | |
| "plt.legend()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "3453a050", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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": "3.8.0" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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