{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "execution": {}, "id": "view-in-github" }, "source": [ "\"Open   \"Open" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "import numpy as np\n", "import math\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "# Set some properties of the model. We'll store these in a dict so they're\n", "# easier to pass around or save.\n", "model = {}\n", "\n", "# properties of the recurrent pool:\n", "model['N'] = 1000 # number of neurons\n", "model['g'] = 0.95 # gain of synaptic weights in pool\n", "model['sp'] = 0.25 # fraction of weights that are nonzero\n", "model['tau'] = 20 # neural membrane time constant in ms\n", "model['dt'] = 0.1 # simulation timestep in ms\n", "model['nonlin'] = lambda x: np.tanh(x) # firing rate nonlinearity for pool units\n", "\n", "# properties of the input layer:\n", "# a note: we're going to encode the \"value\" of the input by the identity of the\n", "# active input layer units. We'll use one-hot encoding: for each input step\n", "# during simulation, one unit will be activated with \"firing rate\" 1, and the\n", "# rest will be set to firing rate 0 (adjust gIn to change the scaling of input\n", "# to the recurrent pool.)\n", "# Note 1: This is just one way of setting up input- are there other approaches\n", "# that would improve memory capacity?\n", "# Note 2: Burn-in time is especially important if your model has g>1, in which\n", "# case neurons will be spontaneously active.\n", "model['nIn'] = 20 # size of the input layer\n", "model['gIn'] = 10.0 # gain of the input weights\n", "model['spIn'] = 0.05 # sparsity of input->pool connectivity\n", "model['burnIn'] = 10 # time before input starts\n", "model['durIn'] = 1 # time for which an input is active in ms\n", "model['ISI'] = 0 # time between inputs in ms\n", "model['nonlinIn'] = lambda x: x # best to keep the input linear" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "# Create the synaptic weight matrix.\n", "# Normalizing weights by sqrt(N*sparsity) keeps the eigenvalue spectrum\n", "# invariant to the size of the population N.\n", "randMat = np.random.normal(0, 1, size=(model['N'], model['N']))\n", "spMat = np.random.uniform(0, 1, size=(model['N'], model['N'])) <= model['sp']\n", "model['J'] = np.multiply(randMat, spMat) * model['g'] / math.sqrt(model['N'] * model['sp'])\n", "\n", "# Create the input weight matrix.\n", "randMatIn = np.random.normal(0, 1, size=(model['N'], model['nIn']))\n", "spMatIn = np.random.uniform(0, 1, size=(model['N'], model['nIn'])) <= model['spIn']\n", "model['Jin'] = np.multiply(randMatIn, spMatIn) * model['gIn'] / math.sqrt(model['nIn'] * model['spIn'])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "# Define a couple helper functions for simulation.\n", "\n", "def step(firing_rates, input_layer, model):\n", " # The simulation function. We use Euler's method to simulate the evolution of\n", " # model neuron firing rates given the input_layer firing rates.\n", "\n", " timestep = math.exp(-model['dt']/model['tau'])\n", " vIn = np.matmul(model['J'], firing_rates) \\\n", " + np.matmul(model['Jin'], model['nonlinIn'](input_layer))\n", " updated_rates = model['nonlin'](vIn + (firing_rates - vIn) * timestep)\n", "\n", " return updated_rates\n", "\n", "\n", "def make_input(sequence_length, model):\n", " # Generates a sequence of inputs according to the parameters in model. Returns\n", " # the sequence both as a one-hot encoding and as a sequence of integer values.\n", "\n", " input_stream = [0] * int(model['burnIn']/model['dt'])\n", "\n", " for i in range(sequence_length):\n", " val = np.random.randint(0, model['nIn']) + 1\n", " for t in range(int(model['ISI']/model['dt'])):\n", " input_stream.append(0.0)\n", " for t in range(int(model['durIn']/model['dt'])):\n", " input_stream.append(val)\n", "\n", " input_stream = np.array(input_stream)\n", "\n", " onehot = np.zeros((model['nIn'] + 1, input_stream.size))\n", " onehot[input_stream, np.arange(input_stream.size)] = 1.0\n", " onehot = onehot[1:, :]\n", "\n", " return onehot, input_stream" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Look at an example input stream.\n", "\n", "onehot, stream = make_input(50, model)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 5))\n", "omit = int(model['burnIn']/model['dt']) # don't plot the burn-in period\n", "ax[0].plot(np.arange(len(stream) - omit) * model['dt'], stream[omit:])\n", "ax[0].set_xlabel('time (ms)')\n", "ax[0].set_ylabel('input value')\n", "\n", "ax[1].imshow(onehot[:, omit:], aspect='auto')\n", "ax[1].set_xlabel('time (ms)')\n", "ax[1].set_ylabel('input one-hot encoding')\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Take a look at the eigenvalue spectrum of J.\n", "w, v = np.linalg.eig(model['J'])\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 5))\n", "showCount = 50 # portion of J to actually show (for readability)\n", "h = ax[0].imshow(model['J'][:showCount,:showCount])\n", "ax[0].set_title('Sample from weight matrix J')\n", "ax[0].set_xlabel('presynaptic neuron')\n", "ax[0].set_ylabel('postsynaptic neuron')\n", "plt.colorbar(h, ax=ax[0])\n", "\n", "ax[1].plot(np.real(w),np.imag(w),'.')\n", "ax[1].plot(np.sin(np.linspace(0,2*math.pi,100)),\n", " np.cos(np.linspace(0,2*math.pi,100))) # circle with radius 1\n", "ax[1].set_title('Eigenvalue spectrum of J')\n", "ax[1].set_xlabel('real component')\n", "ax[1].set_ylabel('imaginary component')\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Simulate the model activity.\n", "\n", "# generate the input to the model\n", "onehot, input_stream = make_input(10, model)\n", "\n", "# initialize the firing rates randomly\n", "firing_rates = np.zeros((model['N'], len(input_stream)))\n", "firing_rates[:, 0] = np.random.uniform(0, 0.1, size=(model['N']))\n", "\n", "for t in range(len(input_stream)-1):\n", " firing_rates[:,t+1] = step(firing_rates[:,t], onehot[:,t], model)\n", "\n", "\n", "fig, ax = plt.subplots(2, 1, figsize=(8, 12))\n", "simulation_time = np.arange(len(input_stream))*model['dt'] - model['burnIn']\n", "ax[0].plot(simulation_time, input_stream)\n", "ax[0].set_xlabel('Time (ms)')\n", "ax[0].set_ylabel('Input value')\n", "\n", "extents = [simulation_time[0],simulation_time[-1], 0, model['N']]\n", "ax[1].imshow(firing_rates, aspect='auto', extent=extents)\n", "ax[1].set_xlabel('Time (ms)')\n", "ax[1].set_ylabel('Neurons')\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Now: can you decode the model's input history from its firing rates?" ] } ], "metadata": { "colab": { "collapsed_sections": [], "include_colab_link": true, "name": "RNN_working_memory", "provenance": [], "toc_visible": true }, "kernel": { "display_name": "Python 3", "language": "python", "name": "python3" }, "kernelspec": { "display_name": "Python 3", "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": "3.7.13" } }, "nbformat": 4, "nbformat_minor": 0 }