{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayesian Cue Combination" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Say $x = s$ is the true location of the stimulus.\n", "\n", "By Bayes' rule, $p(x|x_a, x_v)$ is proportional to the product $p(x_a|x)p(x_v|x)$, assuming that the unisensory estimates $x_a$ and $x_v$ are conditionally independent given the true source location $x$, and that the subject has no prior knowledge / bias about $x$. \n", "\n", "It is a known mathematical result (which is feasible to check by hand, by multiplying the two probability density functions) that the product density function of normal distributions $\\mathcal N(\\mu_1, \\sigma_1^2)$ and $\\mathcal N(\\mu_2, \\sigma_2^2)$ is itself proportional to a normal distribution with mean $\\frac{\\mu_1 \\sigma_2^2 + \\mu_2 \\sigma_1^2}{\\sigma_2^2 + \\sigma_1^2}$ and variance $\\frac{\\sigma_1^2 \\sigma_2^2}{\\sigma_1^2 + \\sigma_2^2}$.\n", "\n", "In this case, the subjects' estimates are thus modeled by a normal distribution with mean $s$ and standard deviation $\\sqrt \\frac{4^23^2}{4^2 + 3^2} = 2.4$ degrees of visual angle, as $\\sigma_v = 4, \\sigma_a = 3$ degrees of visual angle." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean and std of vision estimate: 0.0 4.0\n", "Mean and std of audition estimate: 0.0 3.0\n", "Mean and std of both estimates: 0.0 2.4\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the three distributions (based on vision alone, based on audition alone, and based on both)\n", "mean_v = 0.0\n", "mean_a = 0.0\n", "std_v = 4.0\n", "std_a = 3.0\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def gaussian(x, mu, sigma):\n", " return np.exp(-np.power(x - mu, 2.) / (2 * np.power(sigma, 2.))) / (sigma * np.sqrt(2 * np.pi))\n", "\n", "import math\n", "def density_product_mean_std(mean_1, var_1, mean_2, var_2):\n", " mean = (var_2 * mean_1 + var_1 * mean_2) / (var_1 + var_2)\n", " var = 1 / (1 / var_1 + 1 / var_2)\n", " assert math.isclose(var, var_1 * var_2 / (var_1 + var_2))\n", " return mean, np.sqrt(var)\n", "\n", "mean_av, std_av = density_product_mean_std(mean_v, std_v**2, mean_a, std_a**2)\n", "print('Mean and std of vision estimate:', mean_v, std_v)\n", "print('Mean and std of audition estimate:', mean_a, std_a)\n", "print('Mean and std of both estimates:', mean_av, std_av)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "# On axis 1, plot N(0, std_v), N(0, std_a), and N(0, std_av)\n", "x = np.linspace(-10, 10, 1000)\n", "y_v, y_a, y_av = gaussian(x, mean_v, std_v), gaussian(x, mean_a, std_a), gaussian(x, mean_av, std_av)\n", "axes[0].plot(x, y_v, label='Vision', linewidth=2)\n", "axes[0].plot(x, y_a, label='Audition', linewidth=2)\n", "axes[0].plot(x, y_av, label='Both', linewidth=2)\n", "axes[0].legend()\n", "axes[0].set_title('Distributions')\n", "axes[0].set_xlabel('x (degrees)')\n", "# On axis 2, plot product of y_v and y_a, and y_av\n", "x_0 = 500\n", "norm_factor = y_v[x_0] * y_a[x_0] / y_av[x_0]\n", "density_product = y_v * y_a\n", "normalized_density_product = density_product / norm_factor\n", "axes[1].plot(x, y_av, label='Vision and audition', linestyle='-', linewidth=2, color='black')\n", "axes[1].plot(x, density_product, label='Density product', linestyle='--', linewidth=2)\n", "axes[1].plot(x, normalized_density_product, label='Normalized density product', linestyle=':', linewidth=3)\n", "axes[1].legend()\n", "axes[1].set_xlabel('x (degrees)')\n", "axes[1].set_title('Product of Distributions')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Previously we chose means $\\mu_v = \\mu_a = 0$ degrees for our plots. Now we shift them: $\\mu_v = 5$, $\\mu_a = -5$ degrees.\n", "\n", "This leaves the variance of the bimodal distribution unchanged, but changes the mean to $\\frac{5 * \\sigma_a^2 - 5 * \\sigma_v^2}{25} = \\frac{45 - 80}{25} = -1.4.$" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean and std of vision estimate: 5.0 4.0\n", "Mean and std of audition estimate: -5.0 3.0\n", "Mean and std of both estimates: -1.4 2.4\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean_v = 5.0\n", "std_v = 4.0\n", "mean_a = -5.0\n", "std_a = 3.0\n", "mean_av, std_av = density_product_mean_std(mean_v, std_v**2, mean_a, std_a**2)\n", "print('Mean and std of vision estimate:', mean_v, std_v)\n", "print('Mean and std of audition estimate:', mean_a, std_a)\n", "print('Mean and std of both estimates:', mean_av, std_av)\n", "\n", "y_v, y_a, y_av = gaussian(x, mean_v, std_v), gaussian(x, mean_a, std_a), gaussian(x, mean_av, std_av)\n", "fig = plt.figure(figsize=(5, 5))\n", "plt.plot(x, y_v, label='Vision', linewidth=2)\n", "plt.plot(x, y_a, label='Audition', linewidth=2)\n", "plt.plot(x, y_av, label='Both', linewidth=2)\n", "plt.legend()\n", "plt.title('Distributions')\n", "plt.xlabel('x (degrees)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we keep the auditory stimulus unchanged but vary the blurriness of the visual stimulus." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean and std of vision estimate (precise): 5.00 +/- 1.00\n", "Mean and std of vision estimate (blurry): 5.00 +/- 7.00\n", "Mean and std of audition estimate: -5.00 +/- 3.00\n", "Mean and std of combined estimate (precise): 4.00 +/- 0.95\n", "Mean and std of combined estimate (blurry): -3.45 +/- 2.76\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean_a = -5.0\n", "std_a = 3.0\n", "mean_v = 5.0\n", "std_v_precise = 1.0\n", "std_v_blurry = 7.0\n", "mean_av_precise, std_av_precise = density_product_mean_std(mean_v, std_v_precise**2, mean_a, std_a**2)\n", "mean_av_blurry, std_av_blurry = density_product_mean_std(mean_v, std_v_blurry**2, mean_a, std_a**2)\n", "print('Mean and std of vision estimate (precise): {:.2f} +/- {:.2f}'.format(mean_v, std_v_precise))\n", "print('Mean and std of vision estimate (blurry): {:.2f} +/- {:.2f}'.format(mean_v, std_v_blurry))\n", "print('Mean and std of audition estimate: {:.2f} +/- {:.2f}'.format(mean_a, std_a))\n", "print('Mean and std of combined estimate (precise): {:.2f} +/- {:.2f}'.format(mean_av_precise, std_av_precise))\n", "print('Mean and std of combined estimate (blurry): {:.2f} +/- {:.2f}'.format(mean_av_blurry, std_av_blurry))\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "# Plot precise v, av on axis 1\n", "y_v_precise, y_av_precise = gaussian(x, mean_v, std_v_precise), gaussian(x, mean_av_precise, std_av_precise)\n", "y_a = gaussian(x, mean_a, std_a)\n", "axes[0].plot(x, y_v_precise, label='Vision (precise)', linewidth=2)\n", "axes[0].plot(x, y_av_precise, label='Both (precise)', linewidth=2)\n", "axes[0].plot(x, y_a, label='Audition', linewidth=2)\n", "axes[0].legend()\n", "axes[0].set_title('Precise Visual Cue')\n", "axes[0].set_xlabel('x (degrees)')\n", "# Plot blurry v, av on axis 2\n", "y_v_blurry, y_av_blurry = gaussian(x, mean_v, std_v_blurry), gaussian(x, mean_av_blurry, std_av_blurry)\n", "axes[1].plot(x, y_v_blurry, label='Vision (blurry)', linewidth=2)\n", "axes[1].plot(x, y_av_blurry, label='Both (blurry)', linewidth=2)\n", "axes[1].plot(x, y_a, label='Audition', linewidth=2)\n", "axes[1].legend()\n", "axes[1].set_title('Blurry Visual Cue')\n", "axes[1].set_xlabel('x (degrees)')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The larger the variance (blurriness) of the visual stimulus, the larger the contribution of the auditory cue location to the mean of the density product. Therefore, the estimated position of the combined stimulus shifts towards the origin of the sound." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### How could the above problem be solved by neurons?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two main things to consider -- how neurons might encode the values of a probability distribution, and how two such distributions could be combined. The first answer affects the second.\n", "\n", "For the first question, one possible answer relates to the concept of receptive fields / tuning curves of neurons, observed e.g. in sensory cortices. The tuning curve of a neuron describes a relationship between a certain attribute of an observed stimulus (such as \"visual angle\") and the neuron's (average) firing rate. Consider a group of neurons, each tuned to a fairly small range of attribute values. If, _collectively_, these ranges span the attribute's full \"domain\" / \"sample space\", then the group's population activity can be interpreted as a distribution of beliefs in the attribute's true value. The distribution's _mode_ is given by the neuron with the highest firing rate. The _mean_ would be obtained by computing an integral over the entire sample space -- or, more likely, via some shortcut / heuristic, especially if the distribution is unimodal.\n", "\n", "Combining two such populations / distributions (encoding the same attribute, but conditionally independent given its true value, i.e., affected by independent noise sources) could be done by multiplying the density functions and re-normalizing. The first step may amount to a pair-wise multiplication of the firing rates of neurons encoding the same part of the sample space. The second step may be implemented via neuronal competition.\n", "\n", "The above possibility is discussed further in Pouget et al.'s theory of \"probabilistic population codes\" ([2006](https://www.nature.com/articles/nn1790)).\n", "\n", "\n", "Another possible answer points out that, since a neuron's firing rate is a continuous quantity, a single neuron -- rather than an entire population as assumed by the above -- may be sufficient to encode a real-valued stimulus attribute (such as, again, \"visual angle\"). The brain would then have to represent uncertainty in that value by cycling through different firing rates over short time intervals. This idea has been linked with spontaneous neural activity in the cortex. There has been extensive work on how statistical learning could be implemented using such \"sampling-based\" representations. See [Fiser et al. (2010)](https://www.cell.com/trends/cognitive-sciences/fulltext/S1364-6613(10)00004-5) for a review contrasting the two proposed solutions discussed here." ] } ], "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 2 }