{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "execution": {}, "id": "view-in-github" }, "source": [ "\"Open   \"Open" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "# Example Model Project: the Train Illusion\n", "\n", "**By Neuromatch Academy**\n", "\n", "__Content creators:__ Marius t'Hart, Megan Peters, Paul Schrater, Gunnar Blohm\n", "\n", "__Production editors:__ Spiros Chavlis\n", "\n", "
\n", "\n", "**Disclaimer**: this is a \"toy\" model used to demonstrate the [10 step procedure of how-to-model](https://doi.org/10.1523/ENEURO.0352-19.2019). It is not meant to be state of the art research." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Phenomenon\n", "*Part of Steps 1-2*\n", "\n", "The train illusion occurs when sitting on a train and viewing another train outside the window. Suddenly, the other train *seems* to move, i.e. you experience visual motion of the other train relative to your train. But which train is actually moving?\n", "\n", "Often people have the wrong percept. In particular, they think their own train might be moving when it's the other train that moves; or vice versa. The illusion is usually resolved once you gain vision of the surroundings that lets you disambiguate the relative motion; or if you experience strong vibrations indicating that it is indeed your own train that is in motion." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Question\n", "\n", "*Part of Step 1*\n", "\n", "We asked the following (arbitrary) question for our demo project: \"How do noisy vestibular estimates of motion lead to illusory percepts of self motion?\"" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Background\n", "*Part of Step 2*\n", "\n", "You have learned all about the vestibular system in the Intro video. This is also where you would do a literature search to learn more about what's known about self-motion perception and vestibular signals. You would also want to examine any attempts to model self-motion, perceptual decision making and vestibular processing." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Ingredients\n", "\n", "*Part of step 3*\n", "\n", "We determined that we probably needed the following ingredients for our model:\n", "* Vestibular input: $v(t)$\n", "* Binary decision output: $d$ - time dependent?\n", "* Decision threshold: $\\theta$\n", "* A filter (maybe running average?): $f$\n", "* An integration mechanism to get from vestibular acceleration to sensed velocity: $\\int$" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Hypotheses\n", "\n", "*Part of step 4*\n", "\n", "Our main hypothesis is that the strength of the illusion has a linear relationship to the amplitude of vestibular noise.\n", "\n", "Mathematically, this would write as $S = k \\cdot N$, where $S$ is the illusion strength and $N$ is the noise level, and $k$ is a free parameter.\n", "\n", "> we could simply use the frequency of occurance across repetitions as the \"strength of the illusion\"\n", "\n", "We would get the noise as the standard deviation of $v(t)$, i.e., $N = \\mathbb{E}[v(t)^2]$, where $\\mathbb{E}[\\cdot]$ stands for the expected value.\n", "\n", "Do we need to take the average across time points?\n", "\n", "> doesn't really matter because we have the generative process, so we can just use the $\\sigma$ that we define" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Selected toolkit\n", "\n", "*Part of step 5*\n", "\n", "We chose to use a [Drift-Diffusion Model (DDM)](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2474742/) because it is a well-established framework that allows us to model decision making in the case of 2 alternative choices (here: self-motion vs. other train motion).\n", "\n", "For our purposes simplest equation looks something like this:\n", "\n", "\\begin{align}\n", "\\dot e = \\frac{de}{dt}= -c \\cdot e + v \\, ,\n", "\\end{align}\n", "\n", "where $e$ is the accumulated evidence and $v$ is our vestibular input already containing the noise (so we don't need to add more noise?). $c$ is the leakage constant, i.e., $c=0$ means perfect integration; $c=1$ means no integration (perfect leakage)." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Model draft\n", "\n", "*Part of step 6*\n", "\n", "Brainstorming on the whiteboard, we came up with this...\n", "\n", "![picture](https://github.com/NeuromatchAcademy/course-content-dl/blob/main/projects/static/modeling_step6.png?raw=1)" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Model implementation\n", "\n", "*Part of step 7*\n", "\n", "We need at least 3 functions:\n", "1. vestibular signal generator\n", "2. integrator (or drift-diffusion mechanism)\n", "3. decision mechanism (threshold comparison)\n", "\n", "**Note:** we did not add a filter (yet). We're not sure if we need one...\n", "\n", "So let's go step by step... first we need to get set up..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import norm\n", "!pip install pandas --quiet\n", "plt.style.use('dark_background')" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "## 1. Vestibular signal generator" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "def vestibular_signal(sig, mov):\n", " \"\"\"\n", " Computes a vestibular signal that corresponds to the acceleration of the\n", " train with different amplitudes of noise\n", " Args:\n", " sig: scalar SD of noise\n", " mov: 0 means no self-motion; 1 means self-motion (or scaling or motion signal)\n", " Returns: vector array of vestibular signal v\n", " \"\"\"\n", " # create white noise series for 10s with 1ms resolution\n", " x = np.linspace(-7, 14, 1001)\n", " z = 1/(1 + np.exp(-x))\n", " noise = norm.rvs(size=1000)\n", " v = sig*noise + mov*np.diff(z)/0.001\n", "\n", " return v" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Let's see if that works... (*unit test*)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'vestibular signal (a.u.)')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "v = vestibular_signal(1,1)\n", "\n", "# plot signal\n", "t = np.linspace(0, 10, 1000)\n", "plt.plot(t,v)\n", "plt.xlabel(\"time (s)\")\n", "plt.ylabel(\"vestibular signal (a.u.)\")" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "## 2. Integrator (DDM mechanism)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "def ddm(v, c):\n", " \"\"\"\n", " Leaky integration of vestibular signal\n", " Args:\n", " v: array of vestibular signal\n", " c: leakage constant\n", " Outputs: time series of integrated vestibular signal (with leakage)\n", " = evidence e\n", " \"\"\"\n", " e = np.random.normal(0, 0.1)\n", " E = []\n", " for i in range(len(v)):\n", " e += -c*e + v[i]*0.001\n", " E.append(e)\n", " return E" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Let's test the DDM function... (*unit test*)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "e = ddm(v, c=0.001)\n", "\n", "# plot result\n", "plt.plot(t, e)\n", "plt.xlabel(\"time (s)\")\n", "plt.ylabel(\"integrated evidence\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "## 3. Thresholding (decision mechanism)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "def threshold(e, thr):\n", " \"\"\"\n", " Thresholding of motion evidence\n", " Args:\n", " motion evidence: e (array)\n", " threshold: thr\n", " Output: decision d if threshold was reached\n", " \"\"\"\n", " d = any(np.array(e) > thr)*1\n", " return d" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Now let's test this function... (*unit test*)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] } ], "source": [ "d = threshold(e, .6)\n", "print(d)" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "## Assembling the model" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "def run_model(sig, c, thr, mov):\n", " \"\"\"\n", " runs the full model to simulate self-motion decision, e.g., for train illusion\n", " Args:\n", " sig: SD of vestibular noise\n", " c: leakage constant\n", " thr: decision threshold\n", " mov: self-motion? ) no selfmotion; 1 self-motion\n", " Output: decision d (0: no self-motion; 1: self-motion)\n", " \"\"\"\n", " v = vestibular_signal(sig, mov)\n", " e = ddm(v, c)\n", " d = threshold(e, thr)\n", " return d" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Let's run the model and see if it works..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] } ], "source": [ "d = run_model(200, 0.001, 0.8, 1)\n", "print(d)" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Model completion\n", "\n", "*Part of step 8*\n", "\n", "So the model seems to work. Running different parameters gives us different results. Are we done?\n", "* **can we answer our question**: yes, in our model the illusion arises because integrating very noisy vestibular signals representing motion evidence sometimes accumulate to a decision threshold and sometimes do not reach that threshold.\n", "* **can we speak to our hypothesis**: yes, we can now simulate different trials with different noise levels (and leakage and thrshold parameters) and evaluate the hypothesized linear relationship between vestibular noise and how often our perceptual system is fooled...\n", "* **does the model reach our goals**: yes, we wanted to generate a mechanistic model to be able to make some specific predictions that can then be tested experimentally later...\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Model evaluation & testing\n", "\n", "*Part of step 9*\n", "\n", "Ok, so we still need to actually evaluate and test our model performance. Since this is a conceptual model and we don't have actual data (yet), we will evaluate how our model behaves as a function of the 3 parameters. If we had data with different conditions, we could try to fit the model to the data and evaluate the goodness of fit, etc. If other alterative models existed, we could evaluate our model against those alternatives too.\n", "\n", "So let's run out model in different parameter regimes and analyze the result to get some insight into the model performance" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "import itertools # to automatically generate possible combinations of parameters\n", "\n", "# define parameter list\n", "params = {\n", " 'sig': np.linspace(1, 21, 5)**2,\n", " 'c': np.exp(np.linspace(-10, -1, 5)),\n", " 'thr': np.linspace(0, 2, 5),\n", " 'mov': np.linspace(0, 1, 2),\n", " }\n", "\n", "# run combination of parameters\n", "keys = list(params)\n", "D = []\n", "for i in range(0,100):\n", " for values in itertools.product(*map(params.get, keys)):\n", " d = run_model(**dict(zip(keys, values)))\n", " temp = list(values)\n", " temp.append(d)\n", " D.append(temp)" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Now let's explicitly test our hypothsis for different parameter combinations..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# want data frames:\n", "import pandas as pd\n", "df = pd.DataFrame(D, columns=['Sig', 'c', 'Thr', 'Mov', 'Decisions'])\n", "# multi panel layout:\n", "axs = plt.figure(figsize=(12,12), constrained_layout=True).subplots(5, 5)\n", "# plot for movement absent/present\n", "Mov_s = np.unique(df['Mov'])\n", "# plot for leakage parameter & threshold values:\n", "c_s = np.unique(df['c'])\n", "Thr_s = np.unique(df['Thr'])\n", "# plot for data for both movement condition for each leakage/threshold combination\n", "Sig_s = np.unique(df['Sig'])\n", "for Thr_n in range(len(Thr_s)):\n", " for c_n in range(len(c_s)):\n", " subdf0 = df[(df.Mov == 0) & (df.c == c_s[c_n]) & (df.Thr == Thr_s[Thr_n])].groupby(['Sig'])['Decisions'].mean()\n", " subdf1 = df[(df.Mov == 1) & (df.c == c_s[c_n]) & (df.Thr == Thr_s[Thr_n])].groupby(['Sig'])['Decisions'].mean()\n", " im0 = axs[Thr_n, c_n].plot(Sig_s, subdf0, label=\"no motion\")\n", " im1 = axs[Thr_n, c_n].plot(Sig_s, subdf1, label=\"motion\")\n", " axs[Thr_n, c_n].set_title(f\"Thr = {Thr_s[Thr_n]}; c = {c_s[c_n]:.4f}\")\n", " axs[Thr_n, c_n].set_ylim(0, 1.1)\n", " axs[Thr_n, c_n].set_xlim(0, 450)\n", "axs[4, 2].set_xlabel(\"Noise level $\\sigma$\")\n", "axs[2, 0].set_ylabel(\"Proportion motion judgment\")\n", "axs[3, 1].set_facecolor('grey')\n", "axs[4, 4].legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "There seems to be some parameter redundancy, i.e., we could chose different parameter combinations to make the model do something sensible...\n", "\n", "But it looks like $c=0.0004$ works well for $\\theta = 1.5$ and $\\sigma=50$ (highlighted plot). Lets run a few trials on that to analyze those results more specifically..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Motion detected for no-motion: 32.5% and motion: 61.4%\n" ] } ], "source": [ "# run \"best\" parameter combination\n", "sig = 50\n", "c = 0.0004\n", "thr = 1.5\n", "d0 = []\n", "d1 = []\n", "for i in range(0, 1000):\n", " d0.append(run_model(sig, c, thr, 0))\n", " d1.append(run_model(sig, c, thr, 1))\n", "print(f\"\\n Motion detected for no-motion: {sum(d0)/10}% and motion: {sum(d1)/10}%\")" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "This does indeed result in roughly 50% likelihood of experiencing the illusion both ways." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Finally, let's explicitly evaluate our hypothesis..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [], "source": [ "sig = np.linspace(1, 201, 20)\n", "c = 0.0004\n", "thr = 1.5\n", "D0 = []\n", "D1 = []\n", "for s in range(len(sig)):\n", " d0 = []\n", " d1 = []\n", " for i in range(0, 100):\n", " d0.append(run_model(sig[s], c, thr, 0))\n", " d1.append(run_model(sig[s], c, thr, 1))\n", " D0.append(sum(d0) / 100)\n", " D1.append(sum(d1) / 100)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "execution": {} }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(sig, D0, label=\"no motion\")\n", "plt.plot(sig, D1, label=\"motion\")\n", "plt.xlabel(\"Noise level\")\n", "plt.ylabel(\"% motion decisions\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "Our **hypothesis** of linear increase of illusion strength with noise only holds true in a limited range of noise... It's monotonic but saturating of course..." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "**And regarding our original question**: it is really the noise that pushes the integrated signal over the threshold. The less leaky the integration and the lower the threshold, the more motion decisions we get..." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Summary\n", "*Part of Step 10*\n", "\n", "Let's write a simple abstract following the guidelines...\n", "\n", "**A. What is the phenomena**? Here summarize the part of the phenomena which your modeling addresses.\n", "\n", "_The \"train illusion\" occurs when sitting in a stationary train and experiencing relative visual motion of an adjacent train outside the window; sometimes we feel like we're moving even if we're not (and vice versa). Previous literature has suggested that vestibular signals are used to disambiguate self-motion from motion of an adjacent object._\n", "\n", "**B. What is the key scientific question?**: Clearly articulate the question which your modeling tries to answer.\n", "\n", "_How noisy vestibular estimates of motion lead to illusory percepts of self motion is currently unknown._\n", "\n", "**C. What was our hypothesis?**: Explain the key relationships which we relied on to simulate the phenomena.\n", "\n", "_We hypothesized that noisy vestibular signals are integrated leading the brain to decide whether self-motion is occurring or not, and that larger noise is linearly associated with more frequent errors in self-motion judgment._\n", "\n", "**D. How did your modeling work?** Give an overview of the model, it's main components, and how the modeling works. ''Here we ... ''\n", "\n", "_To investigate this hypothesis, we constructed a drift diffusion model and simulated self-motion decisions under varying noise conditions, when true self motion was occurring or not._\n", "\n", "**E. What did you find? Did the modeling work?** Explain the key outcomes of your modeling evaluation.\n", "\n", "_We observed that higher noise did indeed lead to more frequent errors in self-motion perception but this relationship was not linear._\n", "\n", "**F. What can you conclude?** Conclude as much as you can _with reference to the hypothesis_, within the limits of the modeling.\n", "\n", "_We conclude that accumulated noisy vestibular information can explain the occurrence of the train illusion, and the higher the noise (or the lower the signal-to-noise ratio), the more frequently such illusions will occur._\n", "\n", "**G. What are the limitations and future directions?** What is left to be learned? Briefly argue the plausibility of the approach and/or what you think is essential that may have been left out.\n", "\n", "_Future research should investigate whether trial-by-trial variations of noisy vestibular signals actually correlate with self-motion judgments._\n", "\n", ">If we put this all in one paragraph, we have our final complete abstract. But, first, do not include the letters in _your_ abstract, and second, we did paraphrase the answers a little so they fit together.\n", "\n", "
\n", "\n", "## Abstract\n", "(A) The \"train illusion\" occurs when sitting in a stationary train and experiencing relative visual motion of an adjacent train outside the window; sometimes we feel like we're moving even if we're not (and vice versa). Previous literature has suggested that vestibular signals are used to disambiguate self-motion from motion of an adjacent object. (B) How noisy vestibular estimates of motion lead to illusory percepts of self motion is currently unknown. (C) We hypothesized that noisy vestibular signals are integrated leading the brain to decide whether self-motion is occurring or not, and that larger noise is linearly associated with more frequent errors in self-motion judgment. (D) To investigate this hypothesis, we constructed a drift diffusion model and simulated self-motion decisions under varying noise conditions, when true self motion was occurring or not. (E) We observed that higher noise did indeed lead to more frequent errors in self-motion perception but this relationship was not linear. (F) We conclude that accumulated noisy vestibular information can explain the occurrence of the train illusion, and the higher the noise (or the lower the signal-to-noise ratio), the more frequently such illusions will occur. (G) Future research should investigate whether trial-by-trial variations of noisy vestibular signals actually correlate with self-motion judgments." ] }, { "cell_type": "markdown", "metadata": { "execution": {} }, "source": [ "---\n", "# Final thoughts\n", "\n", "Note that the model we built here was extremely simple and used artificial data on purpose. It allowed us to go through all the steps of building a model, and hopefully you noticed that it is not always a linear process, you will go back to different steps if you hit a roadblock somewhere.\n", "\n", "There are many issues that we did not address in this model. However, if you're interested in how to actually approach modeling a similar phenomenon in a probabilistic way, we encourage you to read the paper by [Dokka et al., 2019](https://doi.org/10.1073/pnas.1820373116), where the authors model how judgments of heading direction are influenced by objects that are also moving." ] } ], "metadata": { "colab": { "collapsed_sections": [], "include_colab_link": true, "name": "TrainIllusionModelingProjectDL", "provenance": [], "toc_visible": true }, "kernel": { "display_name": "Python 3", "language": "python", "name": "python3" }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }