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@changkun
Forked from mwaskom/diffusion_tutorial.ipynb
Created August 17, 2022 11:26
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Translation of Justin Gardner's drift diffusion tutorial from MATLAB into Python
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Diffusion model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Translation of Justin's [tutorial](http://gru.stanford.edu/doku.php/tutorials/diffusion) from MATLAB."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Signal Detection Theory](http://gru.stanford.edu/doku.php/tutorials/sdt) can be used to get bias-free measures of subject's sensitivity, predict performance on a two alternative forced choice and has been quite useful both in psychophysics and in cognitive neuroscience where it is often used to link physiology to behavior. But, one thing it completely sweeps under the carpet is time. There is no notion of how the decision process evolves over time and so therefore it has nothing to say about reaction times. So, diffusion models.\n",
"\n",
"There are many variations of diffusion models, but the basic flavor is to think of a decision variable which accumulates evidence for a choice (generically, let's call that “A”) against another choice (“B”). In the Newsome et al., experiments these would be a choice for, say, leftwards vs rightwards motion. The decision variable gets momentary evidence that is corrupted by noise (can be anything, but typically gaussian) which is integrated across time. This causes the decision variable to move randomly (brownian motion) until it hits (gets absorbed by) one of the decision criterion (bounds). Whichever bound it hits first is the decision that wins. When it hits gives you the reaction time. You should have the following picture in your head of a single trial:\n",
"\n",
"![](http://gru.stanford.edu/lib/exe/fetch.php/tutorials/diffusionsingletrial.png?w=500&h=250&cache=cache)\n",
"\n",
"The evolution of the decision variable is literally governed by integrating random draws from a gaussian distribution whose mean governs how much evidence is acquired in each time interval and whose standard deviation is associated with how noise that evidence is. So, if you have strong evidence for choice “A”, then you would have a large positive mean. For example, if a neuron in MT fires a lot in its preferred direction, then it will contribute a large mean and the trial to trial variability will correspond to the standard deviation of the evidence. Sometimes, due to the randomness of each sample from the evidence distribution, the decision variable may take a random walk to the other boundary and a wrong decision will be made. Note, that we are, for the purpose of this tutorial, always simulating a decision process in which the correct decision is “A” (upper bound), since we are adding a positive mean to evidence.\n",
"\n",
"\n",
"![](http://gru.stanford.edu/lib/exe/fetch.php/tutorials/decisiononetrialwrong.png?w=500&h=250&cache=cache)\n",
"\n",
"Across many trials then, having a small amount of moment-by-moment evidence (mean of the gaussian variable) relative to variability (standard deviation of the gaussian variable) accumulation will more often go to the correct bound then the incorrect bound. The time it takes to get to each bound (RT) forms a distribution and you can see that the distributions have a bit of a skew to them.\n",
"\n",
"![](http://gru.stanford.edu/lib/exe/fetch.php/tutorials/diffusionmany.png?w=500&h=250&cache=cache)\n",
"\n",
"Ok. Get the basic idea? Let's try it out ourselves."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simulate a trial\n",
"\n",
"So, the idea is to have a decision variable that over time integrates information from a random gaussian process with some mean and standard deviation. Let's start by simulating that (arbitrarily) for a process with mean = 0.1 and standard deviation = 1. Let's have the decision variable, d, start at 0. We will stop the process when it hits either the top bound, A, or the bottom bound -B. For this case, we will just have those bounds equidistant from the starting point. So A=B, and we'll just stop the process when the absolute value of d gets bigger than A. Let's make A for this simulation 10. Got it?\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"mean = 0.1\n",
"std = 1\n",
"A = 10\n",
"\n",
"dv = [0]\n",
"while abs(dv[-1]) < A:\n",
" evidence = np.random.normal(mean, std)\n",
" dv.append(dv[-1] + evidence)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now plot it:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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yrxOvO7c5wump8PVkhY9PRXj5/DBNNaUc6qhe/QWyJgrWIpIxnwleusoz8y8zst4m27cu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\nrcmvigAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119326d90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots()\n",
"ax.plot(dv)\n",
"ax.axhline(0, c=\".7\")\n",
"ax.axhline(A, c=\".2\")\n",
"ax.axhline(-A, c=\".2\")\n",
"ax.set(ylim=(-A - 1, A + 1));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simulate multiple trials\n",
"\n",
"Ok, good so far? Let's try to run that process for multiple trials (say n=100) and plot each trial as we go along. We should also keep track of what decision was made (i.e. which bound was chosen) and when that decision was made. That way at the end we can look at the predicted percent correct and the reaction time distribution - these are the basic predictions of the model. To do this, we'll write a function to compute the d.v. over time on a single trial and then call it multiple times."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def single_trial(mean, std, A):\n",
" dv = [0]\n",
" while abs(dv[-1]) < A:\n",
" evidence = np.random.normal(mean, std)\n",
" dv.append(dv[-1] + evidence)\n",
" return dv"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot it:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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1KI3hY7nGWfO2r/HVVzq+dXRikzXvmX16lb0RDP4RWOs/BXMpaOyFf8S25LKP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pdH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\nZm1mZtZx/wBT7Rc+6TldmgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1161bfa10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trials = [single_trial(mean, std, A) for _ in range(100)]\n",
"\n",
"f, ax = plt.subplots()\n",
"\n",
"for dv in trials:\n",
" ax.plot(dv, c=\"steelblue\", alpha=.25, zorder=3)\n",
"\n",
"ax.axhline(0, c=\".7\")\n",
"ax.axhline(A, c=\".2\")\n",
"ax.axhline(-A, c=\".2\")\n",
"ax.set(ylim=(-A - 1, A + 1));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok. So, let's see what we got. Calculate the percentage of correct trials vs the percentage of incorrect trials (what do you expect these to be like?)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy rate 0.84\n"
]
}
],
"source": [
"correct = np.array([t[-1] > 0 for t in trials])\n",
"print \"Accuracy rate {:.2f}\".format(correct.mean())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's look at the reaction time distribution:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAFVCAYAAAA6zUwUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkqSCGMySJBXEYJYkqSAGsyRJBfl/SttOnJk8vuMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116355110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rts = np.array([len(t) for t in trials])\n",
"plt.hist(rts);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What does the distribution look like? Is it gaussian? Is it skewed? Why does it have the shape that it does?\n",
"\n",
"If you have that all working, then try the same simulation, but don't give any sensory evidence. Decisions are just based on chance fluctuations. You should expect percent correct to equal percent errors. Try it."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"noise_trials = [single_trial(0, std, A) for _ in range(100)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, what percent correct and incorrect did you get. What happened to reaction times? To answer these questions, let's define a function to plot the diffusion results like the images at the beginning of the tutorial:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def plot_diffusion(trials):\n",
"\n",
" f, (ax1, ax2, ax3) = plt.subplots(3, sharex=True,\n",
" gridspec_kw={\"height_ratios\": (.25, .5, .25)})\n",
"\n",
" for dv in trials:\n",
" ax2.plot(dv, c=\"steelblue\", alpha=.25, zorder=3)\n",
"\n",
" ax2.axhline(0, c=\".7\")\n",
" ax2.axhline(A, c=\".2\")\n",
" ax2.axhline(-A, c=\".2\")\n",
" ax2.set(ylim=(-A - 1, A + 1));\n",
" \n",
" correct = np.array([t[-1] > 0 for t in trials])\n",
"\n",
" ax1.text(.95, .95, \"Correct proportion: {:.2f}\".format(correct.mean()),\n",
" ha=\"right\", va=\"top\", transform=ax1.transAxes)\n",
" ax3.text(.95, .05, \"Error proportion: {:.2f}\".format(1 - correct.mean()),\n",
" ha=\"right\", va=\"bottom\", transform=ax3.transAxes)\n",
" \n",
" rts = np.array([len(t) for t in trials])\n",
"\n",
" bins = np.linspace(0, rts.max(), len(trials) * .15)\n",
" if correct.any():\n",
" ax1.hist(rts[correct], bins=bins, color=\"steelblue\")\n",
" if not correct.all():\n",
" ax3.hist(rts[~correct], bins=bins, color=\"steelblue\")\n",
"\n",
" ymax = max(ax1.get_ylim()[1], ax3.get_ylim()[1])\n",
" ax1.set(ylim=(0, ymax))\n",
" ax3.set(ylim=(0, ymax))\n",
" ax3.invert_yaxis()\n",
"\n",
" ax1.set(ylabel=\"Count\")\n",
" ax2.set(ylabel=\"D.V.\")\n",
" ax3.set(xlabel=\"Time\", ylabel=\"Count\")\n",
"\n",
" f.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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EzLYPb6ixWfDr0J7T52jIqKnrtbewfU7/7tdgbD/ELZy0gxo7AH4Vp3X2/G0n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bKqYYxDFissy6b1yIqVxOdHgw3Q8naodrRIz0IvIbr5MNOsxwQkkYZzPC4CGByuWiHJZdV0xiYe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\nvBnEcHaKUgYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117306dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_diffusion(noise_trials)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The thing to note about this, is that even thought the gaussian generating process had 0 mean - you still ended up on each trial meandering to one of the bounds. Random walks don't just jitter around the starting place and never go anywhere - by integration of random values they end up, by chance, going somewhere.\n",
"\n",
"Try playing around with the model in different ways - what does changing the height of the bounds do? Or changing the mean? Or, the standard deviation. What about using a different distribution, not gaussian (why might you want to do that?). What about the starting point of the process?"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
":0: FutureWarning: IPython widgets are experimental and may change in the future.\n"
]
}
],
"source": [
"from IPython.html.widgets import interact"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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OH6A+d2ivmwFAf/X0XjdhBFOg0zAOmDEZT8y4jB97WaAz4/sYOh4rYM33/dYZjt8S3/f/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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117b28fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@interact\n",
"def diffusion_process(mean=(-.5, .5), std=(0., 2), A=(0, 20)):\n",
" trials = [single_trial(mean, std, A) for _ in range(100)]\n",
" plot_diffusion(trials)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, so you should now have a rough idea of how changing different parameters of the model can affect the accuracy and reaction times. So, er, Pop quiz, what parameters can you change to affect the accuracy and reaction time?"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Fit behavioral data\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, so that's all great, but how do you fit this beast to behavioral data? Well, one answer is to do just what you have been doing - simulate many variations of the parameters until you get something that matches by some fit criteria (usually maximizes the likelihood of your data). A non-linear search algorithm can adjust the parameters for you to search the space of parameters more efficiently and you just let it go at it and come back some time later to see what it gets. While this may seem inefficient, there are times when you have to do this. In particular, if you make the model more complicated (various versions have been proposed in which you add randomness not just to the moment to moment evidence, but also to the starting point for instance) or if you want to fit the whole shape of your reaction time distributions you may wish to do a fit like this.\n",
"\n",
"But, if you just want to fit your percent correct and mean reaction times. There are closed-form solutions that give you equations for how to do this.\n",
"\n",
"$$P_{correct} = \\frac{1}{1 + e^{-2\\mu A}}$$\n",
"\n",
"This first equations tells you what to expect for the probability correct, given the bounds (assuming symmetrical bounds) A and the mean of the process μ. Where does this come from? Well it comes from a mathematical derivation which is a bit complicated (see: [here](https://www.shadlenlab.columbia.edu/publications/publications/mike/okinawa_chapter2006.pdf) for a helpful primer). But, you can think of it as the solution to the following problem. Given bounds A and a gaussian process with some mean and standard deviation, what is the probability that the process will end up at the top bound instead of the bottom bound. The solution is the above equation.\n",
"\n",
"Let's take a look at the form of the equation and see if it makes sense. How does it change as you make μ bigger and bigger?\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"A = 1\n",
"mu = np.linspace(0, 10, 100)\n",
"p = 1 / (1 + np.exp(-2 * mu * A))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x117bd5090>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(4, 4))\n",
"ax.plot(mu, p)\n",
"ax.set(xlabel=\"$\\mu$\", ylabel=\"$P_{correct}$\", ylim=(.5, 1));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What does it look like? Where does it start and where does it end? Does the shape make sense?\n",
"\n",
"But, wait a second. What happened to the standard deviation? You know from above that it matters. But, it's not in the equation, why? Well, it actually should be. The full equation should read:\n",
"\n",
"$$P_{correct} = \\frac{1}{1 + e^\\frac{-2 \\mu A}{\\sigma ^ 2}}$$\n",
"\n",
"Trouble is, changing A and changing sigma amount to the same thing, just in opposite directions. They are both unobserved variables, so you cannot estimate both of them. So, you just estimate one and say that you estimate the ratio of the two. You might say the same thing about μ and A, but take a look first at the solution for when on average you hit the bound:\n",
"\n",
"$$RT_{mean} = \\frac{A}{\\mu}\\tanh{\\mu A}$$\n",
"\n",
"Ok, what shape does that give you? Well, plot it as a function of μ just like you did for the percent correct equation and see what it looks like."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rt = A / mu * np.tanh(mu * A)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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RiFPRiEjEqWhEJOIcPR+NMcYL3AfMB7qBO6y1lYOWrwW+BfQBD1lrf+FkPhGJ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1179c5750>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(4, 4))\n",
"ax.plot(mu, rt)\n",
"ax.set(xlabel=\"$\\mu$\", ylabel=\"$RT_{mean}$\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What do you get for that? Does the shape of it make sense? What happens as mu gets larger and larger?\n",
"\n",
"One thing to note here. This is the average reaction time. Remember that the distributions from above look skewed? This does not tell you anything about the skew of the distribution, just the central tendency. The model actually predicts a particular skewed shape of the reaction time distribution and that may be important. It is not fit, when you use the above equation.\n",
"\n",
"Another thing. What are the units here? We want them to be in milliseconds, for example. If the monkey takes, say, 800ms to make the decision, then this equation needs to be fit such that you get a value of 800. Right? So, change A and see what happens. Can you get a value of 800 out of the equation?"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Ak9M0cRHx1IlrOlnT18Z9m/vZOzgedDkioeN1MsjmtReViPgpEonw2+esoViE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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11821cc10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@interact\n",
"def vary_bound_height(A=(0, 100)):\n",
"\n",
" mu = np.linspace(0, 10, 100)\n",
" p = 1 / (1 + np.exp(-2 * mu * A))\n",
" rt = A / mu * np.tanh(mu * A)\n",
"\n",
" f, (ax_p, ax_rt) = plt.subplots(1, 2, figsize=(8, 4))\n",
"\n",
" ax_p.plot(mu, p)\n",
" ax_p.set(xlabel=\"$\\mu$\", ylabel=\"$P_{correct}$\", ylim=(.5, 1))\n",
" \n",
" ax_rt.plot(mu, rt)\n",
" ax_rt.set(xlabel=\"$\\mu$\", ylabel=\"$RT_{mean}$\")\n",
"\n",
" f.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You see that you get some value of mu that will give you 800 ms? You can now imagine playing around with values of mu and A to fit your reaction time data. But, what's the longest reaction time you should expect for some A and $\\mu$? Is it actually plotted on the graph?\n",
"\n",
"No. The computation A / $\\mu$ results in a NaN when $\\mu$ is 0, so it is not showing up on the graph.\n",
"\n",
"But, we may want to know what to expect for a reaction time when $\\mu$ is 0 and there is no sensory evidence (this is a very important case, right? Remember how choice probabilities were calculated in the Newsome experiment?) So, to do that you need to take limits:\n",
"\n",
"$$RT_{mean} = \\lim_{\\mu \\rightarrow 0}{\\frac{A}{\\mu}\\tanh{\\mu A}} = A^2$$\n",
"\n",
"Ok. Good, so now we have an expression for the reaction times as a function of all possible μ\n",
"\n",
"But, hey, wait a second. Notice something else here? What value is the shortest reaction time that the model predicts?\n",
"\n",
"In the limit, 0. If you make mu really large (lots of evidence), the equation predicts that you could reach the bound ever faster, in no time at all!\n",
"\n",
"But, this isn't really true for behavioral data. There must be some inherent delays associated with the time visual input is transduced and motor delays, at least, right? So, to fix that people put in, a, well, fudge factor - an independent “non decision” time. So, you get another free parameter to fit:\n",
"\n",
"$$RT_{mean} = \\frac{A}{\\mu}\\tanh{\\mu A} + \\tau_{nondecision}$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fit behavioral data from motion task\n",
"\n",
"From the above, we now know that to fit behavioral data, we have two free parameters μ and A. How do Shadlen et al., fit their behavioral data? Well they know that as you increase motion coherence, that neurons in MT increase their response approximately linearly [Britten KH, Shadlen MN, Newsome WT, Movshon JA (1993) Vis Neurosci 10:1157–1169](http://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pubmed&id=8257671&retmode=ref&cmd=prlinks)). Here are a few examples of MT neurons responding increasing (or decreasing) as motion coherence is increased in their preferred (or anti-preferred) direction:\n",
"\n",
"![](http://gru.stanford.edu/lib/exe/fetch.php/tutorials/mtmotionco.png?w=&h=&cache=cache)\n",
"\n",
"So, they assume that increasing coherence (C) increases the μ of the evidence process linearly. You need a scaling parameter, k, to get the parameters right. So, the equations they use, are simply the ones from above where μ has been replaced with kC (remember that C is known to them - it is the motion coherence that they used).\n",
"\n",
"Pop quiz. What would you do if you were trying to model decisions and you changed image contrast, not coherence?\n",
"\n",
"You should make $\\mu$ change according to the sigmoidal equation (called a Naka-Rushton equation) that is used to model neurons response as a function of contrast.\n",
"\n",
"So, let's take some values from fits to monkey behavioral data from Huk & Shadlen, 2005, Figure 3. Where k = 0.426, A = 22.811 and $\\tau$ (non decision time) = 417ms. Coherence of motion is varied from 0 to .50. What do we get?"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"k = 0.426\n",
"A = 22.811\n",
"tau = 417\n",
"\n",
"C = np.linspace(0, .5, 100)\n",
"\n",
"p = 1 / (1 + np.exp(-2 * k * C * A))\n",
"rt = (A / (k * C)) * np.tanh(k * C * A) + tau"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Wbpo8gKrKUy4nc7TN51Vez+j1fBC+DyOhnrg5QBHQAtyD0wP3N2Bn6GVPqepcEbkHuBdo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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1164cc210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, (ax_p, ax_rt) = plt.subplots(1, 2, figsize=(8, 4))\n",
"\n",
"ax_p.plot(C, p)\n",
"ax_p.set(xlabel=\"C\", ylabel=\"$P_{correct}$\", ylim=(.5, 1))\n",
"\n",
"ax_rt.plot(C, rt)\n",
"ax_rt.set(xlabel=\"C\", ylabel=\"$RT_{mean}$\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is convenient to plot on the same graph, the performance for the opposite motion direction as well (typically because we are studying a neuron and we want to know about choices made in the preferred direction vs the anti-preferred direction). When we do this, by convention, we call negative motion coherence more evidence for motion in the anti-preferred direction and we plot as a function of choices to the preferred direction. Try and plot the full curve this way.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"C = np.linspace(-.5, .5, 100)\n",
"\n",
"p = 1 / (1 + np.exp(-2 * k * C * A))\n",
"rt = (A / (k * C)) * np.tanh(k * C * A) + tau"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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hn8786ZPYtKeRvUePW4tgAo2l2P8YeB2oAJYBVuwnuIZW55P59BRaW3uC+62q\nviwi2TiT6xiP0+hANpmR+oPzYmI/ix45zroVlS6nGb/GUuzXqeoGYH/0n5ng6lqd/vrpZbYuUoq4\nWkT+EqjHmdZ2yPXsjbv0iLOW0IKZ46fYV5bmkZ+TgR5ts377BBpLn/0SEfm2iNwoIovilsikrPro\nSPxppVbsU8Tjqvo3wH/gzKZnPCwYCrP/WDvTSvMoHMbCManC7/MhMybR2tFPc3uf23HGrbEU+x8D\n/4IzzebC+MQxqSx22Z0143vL17/+FUTkYyKy8qRN74iOu7kcZ+yN8bBDdZ0MBMMsnDHZ7ShxJ9GW\nijeP2CrIiTKWYu8DvgGcpaoPximPSWF1LT1kZaRRXGQL4HhJVdVsVPXng9acj3kc+CHOMreXJT+Z\nGYlYIZRx1IQfIzOdDzB6xKZsSZSx9NkXA/8MrBORm1T1p3HKZFJQOByhoa2HyuI8/H7rc/OS4uJT\nryimqi9GvzyKswa98bAT/fXjaHBezLTSPPKy063YJ9BYzuxLgVJVfQzYG6c8JkW1dPQRCIZtTnwP\n+u///i9E5Dsicq2IvK3yi8g6t3KZ4QuGwuyraaeyJI/CvPHTXx/j9/mQmZNp6eij6bhdb58IYyn2\nDwJ/FV0xqyxOeUyKemuaXCv2XrNu3SXgNNV/EHhNRN4UkbtF5GPAdS5GM8N0oKadgUCYRbPGX399\nTOxn23PY+u0TYSzF/iZV/SbwSZwJOcwEVhedJrfS5sT3nIqKqajqj1X1Q6paBVwBPAusBj7kajgz\nLLsPOQVwcdX4Lfaxn233oVaXk4xPw+qzF5HFQK+qVg+6u0VEqlT1kIj0JyaeSRWxM3trxveep59+\nku9//7v5qtoFoKpHgPuA+0RkRJNhichHgY9Fb+YAK4ALge8DYWAncLOqRkTkRuAmIAjcpqqPxuPn\nmYj2HG6LXqI2fot9xZRcJhdksedwG+FIBL9dbx9XQ57Zi8hXgF8AL4nIXYM2/Qz4uIjcjdN/byaw\n+pZufD4on2zF3mtuu+3/ALxHRFYPvl9ESoDnRrIvVf2Fqq5X1fU4g/puAf4RuFVV1+FcpXOtiFRE\nt60FrgS+JSLjr7M5CXr7gxys7WD21AJys1N/PvzT8fl8LJo1mc6eAMdsffu4G04zvl9Vz1XVqcBz\nIvJuAFUdUNVvqOqNqvrbxMY0Xlfb0kPppBwy0sfSM2QS4ZlnngL4OfCpkza1A+eOZp8isgpYrKr3\nAOdEZ9PYDi/9AAAgAElEQVQE53K+y6L73aiqAVXtwJllc/lonmui0yPHCUciLKqa4naUhHurKd/6\n7eNtOO/MLbEvokXdVjkxb9PZM0BXb4CptoiFJzU01IPT+rZVRK4QkdtF5L+A7+JMqDMat+JcegvO\n2XxMJ1CEM9d++ynuNyO0+7DTh71kHPfXxyya5Xygif3MJn6GU+xFRAaPuupOVBiTmupboyPxS2xw\nnhdNmzYDVW1V1R8CfwW8AjyFcyzfdcZvPgURmQQsUNXno3eFB20uBI7jDNodPJViAWCna6Owq7qV\nzAw/c8bB+vVDmVyQRWVJHnuPHicQDLkdZ1wZTgfQu4EPikgLsAmIiMhOVd0lIpeq6jOJjWi87sRl\nd3Zm70nHj7+txv4mDgPl1gFPD7q9VUQujhb/d0S3bQJuF5EsIBtYhDN474xKS92fatkLGcDJ0dja\nQ11LD+cuLqdyqjvFPtmvx+olFTz0/AEaOgZYKW9d1e2l30sqGk6x/5yqPiYiC3BG3V4I/E5EioBW\nYHEiAxrvi112N9Uuu/Okhx76H+6996f7gBeBJhHZq6r7AETkPFV9dYS7XAAcGHT7i8Dd0QF4u4EH\noqPxf4Czmp4fZwDfwFA7bmrqHGGU+CotLXA9w+Acz2+tAWDBtCJXcrnxesytcIrpi1uPMX1Kjms5\nTsVLOUZqyGIfnSEPVd2LM1PevQAiUgbcNuJnNOOOXXbnbV/84t/zta99eQmwCufD+ndFZClwBOes\ne81I9qeq3z3p9j7gklM87h7gnlHGNsAbB50hU8vmjP/BeTELZhSRme5nZ7X128fTqK/jUNXGky7F\nMxNUXUs3hbkZ5OfYKqledPHFlxI9q34p+g8R8eE0rf+Dm9nM6QVDYfYcbqNscg5lE+iS1oz0NBbO\nmsyOAy20tPfZwlpxMqbrpFR1W7yCmNQ0EAjRfLzPmvBTjKpGVHU3zqp3xoMO1LTTNxBi2exTL2Q0\nni2d7bRkvFHdMsQjzXAldYYGEfHjjP5dDvQDN6jqgVM87qdAi6p+NZn5zMjVt/YQASptJH5KUtWX\n3c5gTm37AafQLZ1ATfgxy+YUA/t440ALl5w1ze0440KyZ0C5DshU1bXAV4A7Tn6AiHwSWApEkpzN\njELticF5E6eZ0Zhk2L6/mcx0/7he/OZ0yqfkUjEll12HWu0SvDhJdrG/AHgCIDoCeNXgjSKyFmdx\njp/w9ok6jEfVNjuD8+zM3pj4qW3uoq6lh8VVU8jMSHM7jitWzCtmIBBmz2Fb4z4ekl3sC3n7Cnmh\naNM+IjIVZ47tz2KFPmXYZXfGxN/m3Q2AU/AmqrPmOZO1bt/f7HKS8SHZqyqcPKuWX1Vjs2+9H2cq\n3seACiBXRPao6i+TnNGMQG1zNzlZ6UzKtzVOjImXTbvqAVgxb+LOTj5vehF52elsP9BMJGK9umOV\n7GK/EbgGuF9Ezgd2xDZEp/L8IZxYRnPhcAq9V2Yzmog5gqEwjW29zJsxibKyQtdynI4XMoB3cpjU\n0NMXZNfBFqoqCpiUn+V2HNek+f0sm1PMK7sbqK7toCDTFtkai2QX+weBy0VkY/T2x0XkeiBfVe8+\n6bHD+ijnldmMJmKO2uZuQuEIpUXZb3teL7weXsjgtRwmNew40EwoHOGs+RP3rD7mrPklvLK7gVd2\n1nH52TYqfyySWuxVNQJ8+qS7957icb9ITiIzFrH++krrrzcmbl7b2wTAOYPmhZ+ols0pJj3Nz8tv\nWLEfK2sXMaNW2xwt9iV22Z0x8dAfCPHGwRamleZRaZezkpOVzpKqyRyq66AhurqmGR0r9mbUappt\nJL4x8bSrupWBQJg1yyrx+eyiJICzpRSA16MtHmZ0rNibUatt7iYrI83mrjYmTl5Tp6CtWTbV5STe\ncda8Evx+H1vUiv1YWLE3oxIMhalr6aGyJA+/nYEYM2aBYJht+5uZUpjF/BmT3I7jGQW5mSydU0x1\nXQct7X1ux0lZVuzNqDS29RIKR5hmM+cZExc7q1vo7Q9y7sIya8I/yUXR+fE3v9nocpLUZcXejEqs\nv35aqRV7Y+Jh8x6nkK1eVO5yEu9Zs2wqaX4fr+5pcDtKyrJib0alpqkLwM7sjYmD/kCIrfuaKZ2U\nTVWFzYlwsqL8LBZVTeZwfScNbTYqfzSSPamOGSfeOrPPdzmJSTYR+SrOTJgZwL/jzIT5CG/NmXGX\nqt4vIjcCNwFB4DZVfdSNvKngjQMt9AdCrF403ZrwT2P1wnJ2Hmxl055Grllb5XaclGNn9mZUapu7\nybU58SccEbkEWBNdpvoSYA5wNnCHqq6P/rtfRCqAW4C1wJXAt0TE/lhO4+XoXPjWhH96Zy8oIT3N\nzyu76m2u/FGwM3szYoFgmIbWXuZMK7SzkInnCuANEXkIZxXLvwP+GhARuRbYB3weZ6nqjaoaAAIi\nsh9YDmxxJ7Z3dfUG2HGgheml+cwos5ay08nNzuCsecVs0SYON3RSVVE49DeZE+zM3oxYfWsP4UiE\n6dZfPxGVAufgrFL5KeA+4FXgS6p6MXAQ+AbO6pbtg76vEyhKbtTUsGlPA6FwhLVLK9yO4nlrlzrz\nD7y0s97lJKnHzuzNiB2LDs6rtGI/ETUDe1Q1COwVkV7gMdUTM548iLN65Qbevpx1AdA21M69sGBP\nsjNs1ib8PnjXurlMKXxrgiovvBbgrRzrp+Tx8yfeZPObjdz8gZWkpyX/fNUrr8dIWbE3I3a00Sn2\n1uQ4Ib0I/A1wp4hUAnnAoyJys6puBi7DaarfBNwuIllANrAI2DnUzt1eITDZqxTWt/agh9tYOnsK\nof4ATU0BV3KcjhdznLuwjKdfO8azmw5z1rzkrgzopddjpKwZ34zYMSv2E1Z0RP1WEdkE/AH4DHAj\n8D0ReRZYgzPyvgH4AfAC8DRwq6oOuBTbs17YUQvA2mXWhD9cF0Rfqxd31LmcJLXYmb0ZsaONXRQX\nZpGbneF2FOMCVf37U9x94Skedw9wT+ITpaZgKMxLb9STl53OOQtK3Y6TMmaVFzCzLJ/t+5tp7+qn\nKD/L7Ugpwc7szYh0dA/Q3j3AjLLU7LcyxiveONBCe/cA5y+pICM9ze04KcPn83HRikpC4YgN1BsB\nK/ZmRGKD86aX2eA8Y8Ziw3anCX/dikqXk6Se85eUk57mZ8P2Wrvmfpis2JsRiQ3Om24z5xkzai3t\nfew42MLsqQU29mUU8rIzWLWwlIa2Xt48ctztOCnBir0ZERucZ8zYPbethkgE1q+c7naUlHVp9LV7\n5vVjLidJDVbszYgcbewiM91P+eRct6MYk5ICwTAbtteSl53O6kVlbsdJWXOnFTKjLJ+te5tp6+x3\nO47nWbE3wxYMhalt6aayJA+/36bJNWY0tmgjnT0BLlpeSWaGDcwbLZ/Px6VnTyMcifD8thq343ie\nFXszbLXN3QRDEWbZEpzGjEokEuFPW47hAy5ZaQPzxur8xRXkZKXz3LZaAsGw23E8zYq9GbbD9c7M\nUVbsjRmdAzUdVNd1sGJeCWXWFTZmWZlpXLyiko7uAV7d3eB2HE+zYm+G7VBDtNiXW7E3ZjT+uPkI\nAFeunuFykvHjL86Zjt/n48nNR+wyvDOwYm+G7Uh9J2l+H9NL7Rp7Y0aq6Xgvr+9tYlZ5AQtmTHI7\nzrhRXJTNqoWlHGvqZvfhIddamrCs2JthCYXDHG3sYlpJns32Zcwo/HHTESIRuGL1DHw+G+AaT1eu\nngnAE68cdjmJd1mxN8NS19LDQDDMTOuvN2bE2rsHeGFHHSVF2Xa5XQLMnlrIolmT2XWojeq6Drfj\neJIVezMsscF5VVbsjRmxpzYfJRAMc9V5M0nz29tuIrxzzSwAHnvZzu5Pxf7qzLActsF5xoxKd1+A\nZ7ceozA3gwuXTXU7zri1eNZkqioKeH1vEzXN3W7H8Rwr9mZYDtV14vf5mG7T5BozIk9uOkpvf4gr\nz5tpk+gkkM/n45q1VUSAhzdWux3Hc6zYmyEFQ2EO1XcyvSyPLHuzMmbYunoDPLXlKIW5GSfmcjeJ\nc9b8EmaVF7B5TyM10RU6jcOKvRnS0cYugqEwcyqL3I5iTEp5cvMR+gZCXHXeLLIy7YNyovl8Pq69\ncDYR4PcbD7kdx1PS3Q5gvO9grTO6dW5loctJjBeIyFeBa4AM4N+BjcDPgTCwE7hZVSMiciNwExAE\nblPVR91J7I727gGe2nyMwrxM1p89ze04E8aKecXMnlrAljcbOVzfaTN+RtmZvRnSwdp2AOZYsZ/w\nROQSYI2qrgUuAeYAdwC3quo6wAdcKyIVwC3AWuBK4FsikulKaJc8vLGa/kCIay+osu6vJPL5fLzv\n4rkAPPDcfpfTeIcVezOkA7Ud5GalUz7F5vI2XAG8ISIPAQ8DfwDOUdUN0e2PA5cB5wIbVTWgqh3A\nfmC5G4Hd0NDWw/PbaimbnMNFK2zBm2RbXDWFJbOnsOtQG7uqW92O4wlW7M0ZdfUGaGzrZXZlIX6b\n9ctAKXAO8H7gU8B9OGfzMZ1AEVAItJ/i/gnhgecOEApHeO+6OaSn2dusG94fPbv/7bP7CYdtznzr\nszdndKIJf6o14RsAmoE9qhoE9opIHzC4Q7oQOA50AIM7SwuAIScuLy11v391rBneONDMa9rEoqop\nvPOiuaOeGtcLrwWkbo7S0gIuXTWDZ7YcZVt1K1eeX+VKDq9IarEXET9wF05zXj9wg6oeGLT9euBv\ncAb0vAF8RlXtI5mL9h1ziv3caRPmpMyc2Ys4x+idIlIJ5AJPi8jFqvo88A7gaWATcLuIZAHZwCKc\nwXtn1NTUmbDgw1FaWjCmDOFwhP94YDsA7794Ds3No7v8a6w54iXVc7zrvJls3F7LLx7dzcJpReRm\nj63keen1GKlkty9dB2RGB/d8BWdgDwAikgN8E7hEVS/EafK7Osn5zEn2Hj2OzwfzrNgbIDqifquI\nbMLpr/8M8CXgn0XkJZwTiAdUtQH4AfACTvG/VVUHXIqdNM9vq+FIYxdrl1Yw21rDXDe5IIt3rplF\nZ0+A3784sSfaSXYz/gXAEwCq+qqIrBq0rQ9nlG/foGy9Sc5nBgkEQ1TXdTCzrGDMn4jN+KGqf3+K\nuy85xePuAe5JeCCP6Oge4H+eP0hOVhr/65K5bscxUVetnsHGN+p4+rVjXLCsgpkTdMrvZJ/ZF+L0\n5cWEok37qGpEVZsAROQWIE9V/5TkfGaQg7UdBEMRW3vbmGG4/9n99PQHec9FcyjKz3I7jonKSE/j\nry5fQDgS4VdP7iUcmZg9w8k+XTt50I5fVcOxG9HC/21gHvC+4ezQK4MlxmOOZ7bVAnDu0opRDY5x\nmxcygHdymMTZdaiVjTvrmVmebxPoeNDSOcWsklK2aBPPb61h/dkTb+riZBf7jTgzb90vIucDO07a\n/hOc5vz3DHdgnlcGS4zHHFvfbACgrDBrRPv1wuvhhQxey2ESo38gxC8efxO/z8fH37HIlrD1qA9d\nvoDdh9q4/7kDrJhXwpTCbLcjJVWy/yofBPpEZCPO4Ly/FZHrReRGEVkJfAJYCjwjIs+KyHVJzmei\nQuEw+2s6qCzJozB3Qk18ZsyI/G7DQZrb+7hy9QybmtXDJuVn8YFL59E3EOKXf1QiE6w5P6ln9tGz\n9U+fdPfeQV/bnJIeUV3bSX8ghFh/vTGnpUfa+NOWo5RPyeXaC2e7HccM4aLlU9m0p4EdB1p4YUcd\n6ybQ7IbW3mROaWd1CwBLZk9xOYkx3tTbH+Rnj+4BH9xw9SJbqz4F+Hw+PvHOReRkpfPrp/fRdHzi\nXPBlxd6c0q5Drfh9PhbOnOx2FGM86VdP7qW5vY93rZnFXFv+OWVMKczmf18+n/6BEHc/vJtQODz0\nN40DVuzNn+nuC3CwtoM50wrt+npjTuHlnfW8vKue2VMLefcF1nyfatYsqWD1ojL217Tz8ARZ996K\nvfkzew61EYnA0iprwjfmZPWtPfzySSU7M41PvnuxLXSTgnw+Hx+5ciElRdk8/NIh9hwa/yvj2V+p\n+TO7on/41l9vzNv1B0L86ME36B8I8ZGrhLLJtuxzqsrNTueT1y7B7/Pxkz/soq2z3+1ICWXF3rxN\nJBLhjYMt5GalUzXVLiMyJiYSifDLJ5Sapm4uPXsa5y+ucDuSGaO5lUV84NJ5dPQE+PHvdxIMjd/+\neyv25m2ONHTR2tHPinnFNjmIMYM8tfnoiX76D1463+04Jk4uO2c65y4sY/+xdu770z634ySMvZub\nt3l9bxMAK+eXupzEGO/YVd3Kb57dT1FeJp997zIy0u2tc7yIXY43vTSf57bW8OzWGrcjJYT9xZq3\n2bqvifQ0P0vnWH+9MQA1zd3c9dAbpPl93PyeZUwusEVuxpuszDRued8y8nMy+O8n956YZ2Q8sWJv\nTmhs6+FYUzdLqiaTnWmX3BnT3tXP9+/fTm9/iE+8cxHzptv19ONV6aQcbnnfMvx++PFDOznW2OV2\npLiyYm9OeH1vMwArF1gTvjG9/UG+d/92mtv7uO7C2Zy/xAbkjXfzp0/ir9+1mN7+EHf+dhst7X1u\nR4obK/bmhFd3N5Dm97FyfonbUYxxVSAY4t9/9wZHGrpYt6KSay6ocjuSSZLzFpfzgfXzON41wJ2/\n3UZHz4DbkeLC2moN4PRLHm7o5Kx5JRTYKnfmDETkdaA9evMg8EPgUd5a1OouVb1fRG4EbgKCwG2q\n+mjSw45CMBTmxw/tYs/hNlbOL+HDVy7A5/O5Hcsk0VXnzaS9u58/bjrKnb/ZxpevPzvlZxNN7fQm\nbl7ZVQ/A+UvKXU5ivExEsgFUdf2g+24A7lDVOwfdVwHcApwD5AAvishTqurp06RQKMxPH97Ntv3N\nLK6azKeuXWKXoE5QH1g/j97+IBu21/G9327jCx88y+1IY2LF3hCORHhlVz3ZmWmcNc+a8M0ZrQBy\nReSPOO8fXwPOBkRErgX2AZ8HVgMbVTUABERkP7Ac2OJO7KGFwmHuuO91trzZyILpRdzy3uVkpNtK\ndhNVbErdgWCYV3Y1cOdvt/Gvn7nQ7VijZh9ZDW8ebqOlo59VUmbLdJqhdAPfUdUrgU8BvwJeA76k\nqhfjNOt/AyjgraZ+gE7As0PZA0Gn6f6FbTUsmF7E5z+wgqxMOxYmOr/fxw3vWsz5i8s5UNPB13/y\nEl29AbdjjYqd2Rueed2ZRGLdWZUuJzEpYC+wH0BV94lIC/BHVT0W3f4gTh/+BpyCH1MAtA2189LS\n5E/R3Ncf5Fu/3Mzre5tYPq+Ef/jEeeRkuf/W6MZrcSqWA77y8fP4wW+28syWo9z52+38y01rmFyY\n7Vqe0XD/L9q4qqW9j637mphVXsDcykK34xjv+zhOc/zNIlIJFAIPishnVHUzcBlOU/0m4HYRyQKy\ngUXAzqF23tTUmbDgp9LVG+D792/nQG0Hy+cW8483nE/H8R7cvsK6tLQg6a+F5TizD/3FPLIz03js\npUN88fvP84UPnkW5SwshjeaDjxX7Ce65bTVEInDp2dNsxLEZjp8B/ykiG6K3Pw70Aj8SkQBQB9yk\nql0i8gPgBZzuwlu9Njiv8Xgv//e326lv7WHNknI+/s5FZFk3ljkNv8/Hp967nHQf/GHjIf71v17j\nc+9fztxKz/ZOvY0V+wmsfyDE89tqyctO57zFNgrfDE1Vg8CHT7Hpz0Yuqeo9wD0JDzUK+2va+eH/\n7KCzJ8BV583k/ZfMxW8fds0QfD4f1100h6K8TH711F6+fd9Wbrx6MasWlrkdbUg2QG8Ce25bDV29\nAdafPd0G5pkJ46WddXz7vtfp6g3w4SsW8IH186zQmxFZf/Z0Pve+5fh9Pu56aCd/2FhNJBJxO9YZ\nWbGfoAYCIR5/9QhZmWlcce4Mt+MYk3DBUJj7/rSXex7ZQ0Z6Gn/7gRWsP3u627FMiloxr4RbP3wO\nxYXZPPRCNXc9uJPe/qDbsU7LmvEnqOe31dLRPcC71swiPyfD7TjGJFRbZz8/+f1O9h5rp7Ikj8++\ndxkVU9wZXGXGjxll+Xz9o6v4j9/v5LW9TdS2dPOZ65YyrTTf7Wh/xs7sJ6Cu3gB/2FhNtp3Vmwlg\nV3Ur//Sfm9h7rJ1VUsrXPnyOFXoTN4V5mXzxL8/iinNnUNfSwzd/uYUXd9R5rlnfzuwnoN+/UE13\nX5APrJ9n8+CbcSsYCvPghoM8/uoR0vw+rr9sPpedM92uOjFxl+b385d/MZ/50ydx72O7ufexPew+\n1MpfXSGemVPfGylM0hxt7OLZrTWUT8nlslXWX2nGp5qmLu5+eDdHGrsom5zDp65dQlWFzSNhEusc\nKWVm+Wp++oddvLK7gX3HjvPX71rMwlmT3Y5mxX4iCYbC/OyR3YQjET502XzS06wXx4wvoXCYJ149\nwu9frCYYirBuxVQ+eOl8T8yIZyaG0kk5/P3/PptHXjrEIy8d5tu/3spl50znfRfPdXUKZjsCJpDf\nv1jNkcYu1q2YyrI5xW7HMSaujjR08vPH3+RQfSeFeZl89Cph5fxSt2OZCSg9zc91F81h2dxifvbI\nHv702jG2H2jmI1ctZEnVFFcy2andBPHGwRYee+UwJUXZfPDS+W7HMSaujjV28c1fbOFQfSdrlpRz\n2w3nWaE3rptbWcQ/ffxcrjpvJs3tfdzx/7axdW+TK1nszH4CqGvp5j9+v4s0v59PXbvUmjTNuFOQ\nm8HqReWsWVLOUmu1Mh6SmZHGB9bP47xF5Ty5+Qilk3NcyWHv+uNca0cf3/vtdnr7g9x49WLm2GI3\nZhwqys/ixmsWux3DmNOaVVHAjdcsce35rRl/HGvt6OPb922lub2P6y6azZqlFW5HMsYY4wI7sx+n\nDtd38v0HtnO8a4Cr11bx7gtmux3JGGOMS6zYjzORSIQN22v59dP7CATCfGD9PK5cbbPkGWPMRGbF\nfhypb+nm3x/YwfYDLeRmpfPJ9y2xEcnGGGOs2I8H7V39PLHpCM+8XkMgGGbhzEnccPViphRmux3N\nGGOMByS12IuIH7gLWA70Azeo6oFB268Bvg4EgXtV9Z5k5ksl4UiEfUePs2F7HZvfbCQYClNSlM17\nL57DeYvKbf5vkzAi8jrQHr15EPgW8HMgDOwEblbViIjcCNyEczzfpqqPuhDXGEPyz+yvAzJVda2I\nnAfcEb0PEckA7gRWAT3ARhH5g6o2JjmjZ3X0DLDv6HF2VbeybX8zx7sGACifksuVq2dw3fr5HG/r\ncTmlGc9EJBtAVdcPuu8PwK2qukFEfgxcKyKvALcA5wA5wIsi8pSqDriR25iJLtnF/gLgCQBVfVVE\nVg3atgjYr6rtACLyIrAOeCDJGV0ViUTo6g3Q3N5H0/Fe6lt6ONbczZH6ThqP9554XF52Ohcun8qa\nJRUsnDkJn89HRrp78y6bCWMFkCsif8R5//gacLaqbohufxy4AggBG1U1AAREZD9Oi94WFzIbM+El\nu9gXAh2DbodExK+q4ei29kHbOoGiRIYJRyJ09gQguu5wbPXh2DLEsfWIIxGIEHH+j0SIxO6LRAiH\nI3QFwrS0dBOO3g7F/oXCBEMRgqEwA8EQgWCYgUCY/kCI/kCInv4gvf1BunuDdPUO0NEdoL17gGAo\n/GdZ87LTWTp7CvOmFbG4agqzKwtI89s0CSbpuoHvqOrPRGQ+0Q/vg8SO26Qfz8aY00t2se8ACgbd\njhV6cN4YBm8rANoSGebHD+3kNXVnnuKTpaf5KMjNZEZZHpPysyguyqa0KIeK4lwqi/OYUphl/fDG\nC/YC+wFUdZ+ItAArB20vBI7z58d6wo9nY8zpJbvYbwSuAe4XkfOBHYO2vQnMF5HJOGcP64DvDLE/\nX2lpwRAPOb1/umntqL/Xq8byesSTF3J4IQN4J0ecfBynOf5mEanEKeJPisjFqvo88A7gaWATcLuI\nZAHZON10O4fY95iO53jxQgawHCezHGPjizVVJ4OI+HhrND44bxznAPmqereIXA38I840vj9T1R8n\nLZwxZkgikg78JzAreteXgRbgbiAT2A3cGB2NfwPOaHw/cLuqPuhCZGMMSS72xhhjjEk+G+FljDHG\njHNW7I0xxphxzoq9McYYM85ZsTfGGGPGuZRaCEdEcoBfAaU4k3R8VFWbT3rMO3BG9ANsVtXPuZEj\n+jg/8CjwkKr+JNkZRORvgQ9Gbz6mqv8Sx+f3xDoHw8hxPfA30RxvAJ9R1biPSh0qx6DH/RRoUdWv\nJjuDiJyLM0W1D6gBPuLW9LV2LI88x3g/nu1YHlmOkR7PqXZm/2lgu6quA34J/MPgjSJSAHwbeJeq\nrgFqRCQRa7yeMccgtwGTeGtyvqRlEJE5wIeANap6PnCFiCyL4/OfWOcA+ArOH13suWPrHFwOXAzc\nJCJlcXzu4ebIAb4JXKKqF+LM4HZ1snMMyvNJYCmJ+Xs4Y4boZa8/BT6mqhfhXAs/O0E5hsOO5RHk\nmCDHsx3Lw8wxmuM51Yr9ibn1o/9fdtL2tTif+O4UkQ1AnWpCpsgbKgci8n6c+cGfwPnklewMR4Ar\nB33yzQB6iZ+3rXOAs4BRzIl1DqJzo8fWOUiEM+Xow3lz7IveTie+r8FwcyAia4HVwE9IzN/DUBkW\n4FwP/wUReQ6YpKqaoBzDYcfyyHJMhOPZjuXh5xjx8ezZZnwR+Wvg8yfd3cBbc+ufaq7tEmA9zmId\n3cALIvKyqu5LZg4RWQpcD7wf+MZon3ssGVQ1CLRGPwF+B3hdVfePNcsgXlnn4LQ5om+MTQAicguQ\np6p/SnYOEZmK0xz9Ht5qhk1qBpxjYy1wM3AAeEREtqjqswnMA9ixHI8cE+R4tmN5mDkYxfHs2WKv\nqj8Dfjb4PhH5H96ab7sAZw7uwZpx+vYao4/fAJwFjPoNYpQ5PgxMA54BqoABEalW1SeTmCG2HOm9\nOAfqZ0bz3GfglXUOzpQj1u/1bWAe8L4EZRgqx/txDs7HgAqcVeP2qOovk5ihBefsTAFE5AmcM4WE\nFzKcAegAAAJ6SURBVHs7luOSYyIcz3YsDz/HiI/nVGvG3wi8M/r1O4ANJ23fCiwVkeLotJ7nA7uS\nnUNV/15Vz1dnze+fA3eM5c1hNBmiZwC/B7ap6qcTMJDlxPOfaZ0DEcnEafJ7Oc7PP5wc4DS1ZQHv\nGdQEmNQcqvpDVV0V/Xv4N+C+BL05nOm1OAjki8jc6O2LGHqu+kSyY3kEOSbI8WzH8jBzMIrjOaWm\ny40O0vgFMBVndOKHVLUxOkp1v6o+LCIfBP4u+i2/UdWhFtNJSI5Bj/0GTn/jT5OZAUgDfo1zUMb6\nlb6qqq/E6fk9sc7BmXLgrJ2+hbe/cX5fVR9KZg5VvXvQ4z4KiKremuwMIhJ7g/LhrDX/t/HOMFx2\nLI8sBxPgeLZjeWQ5Rno8p1SxN8YYY8zIpVozvjHGGGNGyIq9McYY8//bu2OUuoIoDMD/CgKWWcEp\ng1mBqcQmW9A9uICAjWV2k1gG7ESwsTlb8C3BBCyeWDzSvLxrnh6+rxxuMTD38DNzL2eGE/YAMJyw\nB4DhhD0ADCfsAWC4N9tBj/elqj4kucy64cbvrDtsnXf33V4nBmxNPc9jZ8/OnttY/si6xemn7j5M\ncpHkZ1Ud7HVywFbU80x29izhS5KP3f1yUUh3/6qqs3jH4L1RzwNZOJZwmORmc7C7r/7yLPC2qeeB\nHOOzhD/xLsEU6nkgC8oSbpN83hysqsuqOvr/0wF2oJ4HEvbsrLuvkzxU1bfnn3tSVcdJTvM615IC\nr0Q9z+SbPUv5muR7kvuqekyySnLS3av9Tgv4B+p5GFfcAsBwjvEBYDhhDwDDCXsAGE7YA8Bwwh4A\nhhP2ADCcsAeA4YQ9AAz3BCggSuAbhefjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a5f2fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, (ax_p, ax_rt) = plt.subplots(1, 2, figsize=(8, 4))\n",
"\n",
"ax_p.plot(C, p)\n",
"ax_p.set(xlabel=\"C\", ylabel=\"$P_{correct}$\", ylim=(0, 1))\n",
" \n",
"ax_rt.plot(C, rt)\n",
"ax_rt.set(xlabel=\"C\", ylabel=\"$RT_{mean}$\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So, that is the solution using the equations. Does it actually match our simulation? Well, try it out. Set the parameters from above, for a low coherence, say 0.05, and see if you get the expectation from the equations. BTW, what is the expectation?"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model predictions: 0.73 accuracy; 900 mean RT\n"
]
}
],
"source": [
"C = 0.05\n",
"p = 1 / (1 + np.exp(-2 * k * C * A))\n",
"rt = (A / (k * C)) * np.tanh(k * C * A) + tau\n",
"print(\"Model predictions: {:.2f} accuracy; {:.0f} mean RT\".format(p, rt))"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"trials = [single_trial(k * C, 1, A) for _ in range(100)]"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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BkOCe7RKngucenkVKg4ptICQsDyJumW/zrJtnATjd8en5MbcfmAYkf/7Iac72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\nLJY8iXA4T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JwSbuoMP60BKtPg8CCH1ga2InG6J48O8IefPiAzytMlHs1SrL65xkIRbXYy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\nfxWjMxMCXTwVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d6d7fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_diffusion(trials)"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean RT: 937 ms\n"
]
}
],
"source": [
"rts = [len(t) for t in trials]\n",
"print(\"Mean RT: {:.0f} ms\".format(np.mean(rts) + tau))"
]
},
{
"cell_type": "code",
"execution_count": 135,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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r08OZ61amp8WRdgeTK0fiT9VXOH/dQtHcCeRNGzuqzx0o3VY7P3htDxXqJVKT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\nJPNYiRWnSAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d663850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with sns.color_palette(\"Blues_d\"):\n",
" f, ax = plt.subplots(figsize=(6, 6))\n",
"\n",
"for C in [3.2, 6.4, 12.8, 25.6, 51.2]:\n",
" trials = [single_trial(k * C, 1, A) for _ in range(100)]\n",
" median_rt = int(np.median([len(t) for t in trials]))\n",
" avg_trials = [t[:median_rt] for t in trials if len(t) >= median_rt]\n",
" ax.plot(np.mean(avg_trials, axis=0) + tau)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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