{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"execution": {},
"id": "view-in-github"
},
"source": [
""
]
},
{
"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": {
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\n",
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