{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 5\n", "\n", "`Original content created by Cam Davidson-Pilon`\n", "\n", "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", "____\n", "\n", "\n", "### Would you rather lose an arm or a leg?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Statisticians can be a sour bunch. Instead of considering their winnings, they only measure how much they have lost. In fact, they consider their wins as *negative losses*. But what's interesting is *how they measure their losses.*\n", "\n", "For example, consider the following example:\n", "\n", "> A meteorologist is predicting the probability of a possible hurricane striking his city. He estimates, with 95% confidence, that the probability of it *not* striking is between 99% - 100%. He is very happy with his precision and advises the city that a major evacuation is unnecessary. Unfortunately, the hurricane does strike and the city is flooded. \n", "\n", "This stylized example shows the flaw in using a pure accuracy metric to measure outcomes. Using a measure that emphasizes estimation accuracy, while an appealing and *objective* thing to do, misses the point of why you are even performing the statistical inference in the first place: results of inference. The author Nassim Taleb of *The Black Swan* and *Antifragility* stresses the importance of the *payoffs* of decisions, *not the accuracy*. Taleb distills this quite succinctly: \"I would rather be vaguely right than very wrong.\" " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loss Functions\n", "\n", "We introduce what statisticians and decision theorists call *loss functions*. A loss function is a function of the true parameter, and an estimate of that parameter\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = f( \\theta, \\hat{\\theta} )$$\n", "\n", "The important point of loss functions is that it measures how *bad* our current estimate is: the larger the loss, the worse the estimate is according to the loss function. A simple, and very common, example of a loss function is the *squared-error loss*:\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = ( \\theta - \\hat{\\theta} )^2$$\n", "\n", "The squared-error loss function is used in estimators like linear regression, UMVUEs and many areas of machine learning. We can also consider an asymmetric squared-error loss function, something like:\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = \\begin{cases} ( \\theta - \\hat{\\theta} )^2 & \\hat{\\theta} \\lt \\theta \\\\\\\\ c( \\theta - \\hat{\\theta} )^2 & \\hat{\\theta} \\ge \\theta, \\;\\; 0\\lt c \\lt 1 \\end{cases}$$\n", "\n", "\n", "which represents that estimating a value larger than the true estimate is preferable to estimating a value below. A situation where this might be useful is in estimating web traffic for the next month, where an over-estimated outlook is preferred so as to avoid an underallocation of server resources. \n", "\n", "A negative property about the squared-error loss is that it puts a disproportionate emphasis on large outliers. This is because the loss increases quadratically, and not linearly, as the estimate moves away. That is, the penalty of being three units away is much less than being five units away, but the penalty is not much greater than being one unit away, though in both cases the magnitude of difference is the same:\n", "\n", "$$ \\frac{1^2}{3^2} \\lt \\frac{3^2}{5^2}, \\;\\; \\text{although} \\;\\; 3-1 = 5-3 $$\n", "\n", "This loss function imposes that large errors are *very* bad. A more *robust* loss function that increases linearly with the difference is the *absolute-loss*\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = | \\theta - \\hat{\\theta} | $$\n", "\n", "Other popular loss functions include:\n", "\n", "- $L( \\theta, \\hat{\\theta} ) = \\mathbb{1}_{ \\hat{\\theta} \\neq \\theta }$ is the zero-one loss often used in machine learning classification algorithms.\n", "- $L( \\theta, \\hat{\\theta} ) = -\\theta\\log( \\hat{\\theta} ) - (1- \\theta)\\log( 1 - \\hat{\\theta} ), \\; \\; \\theta \\in {0,1}, \\; \\hat{\\theta} \\in [0,1]$, called the *log-loss*, also used in machine learning. \n", "\n", "Historically, loss functions have been motivated from 1) mathematical convenience, and 2) they are robust to application, i.e., they are objective measures of loss. The first reason has really held back the full breadth of loss functions. With computers being agnostic to mathematical convenience, we are free to design our own loss functions, which we take full advantage of later in this Chapter.\n", "\n", "With respect to the second point, the above loss functions are indeed objective, in that they are most often a function of the difference between estimate and true parameter, independent of signage or payoff of choosing that estimate. This last point, its independence of payoff, causes quite pathological results though. Consider our hurricane example above: the statistician equivalently predicted that the probability of the hurricane striking was between 0% to 1%. But if he had ignored being precise and instead focused on outcomes (99% chance of no flood, 1% chance of flood), he might have advised differently. \n", "\n", "By shifting our focus from trying to be incredibly precise about parameter estimation to focusing on the outcomes of our parameter estimation, we can customize our estimates to be optimized for our application. This requires us to design new loss functions that reflect our goals and outcomes. Some examples of more interesting loss functions:\n", "\n", "\n", "- $L( \\theta, \\hat{\\theta} ) = \\frac{ | \\theta - \\hat{\\theta} | }{ \\theta(1-\\theta) }, \\; \\; \\hat{\\theta}, \\theta \\in [0,1]$ emphasizes an estimate closer to 0 or 1 since if the true value $\\theta$ is near 0 or 1, the loss will be *very* large unless $\\hat{\\theta}$ is similarly close to 0 or 1. \n", "This loss function might be used by a political pundit whose job requires him or her to give confident \"Yes/No\" answers. This loss reflects that if the true parameter is close to 1 (for example, if a political outcome is very likely to occur), he or she would want to strongly agree as to not look like a skeptic. \n", "\n", "- $L( \\theta, \\hat{\\theta} ) = 1 - \\exp \\left( -(\\theta - \\hat{\\theta} )^2 \\right)$ is bounded between 0 and 1 and reflects that the user is indifferent to sufficiently-far-away estimates. It is similar to the zero-one loss above, but not quite as penalizing to estimates that are close to the true parameter. \n", "- Complicated non-linear loss functions can programmed: \n", "\n", " def loss(true_value, estimate):\n", " if estimate*true_value > 0:\n", " return abs(estimate - true_value)\n", " else:\n", " return abs(estimate)*(estimate - true_value)**2\n", " \n", "\n", "\n", "- Another example is from the book *The Signal and The Noise*. Weather forecasters have an interesting loss function for their predictions.\n", "\n", "\n", "> People notice one type of mistake — the failure to predict rain — more than other, false alarms. If it rains when it isn't supposed to, they curse the weatherman for ruining their picnic, whereas an unexpectedly sunny day is taken as a serendipitous bonus.\n", "\n", "> [The Weather Channel's bias] is limited to slightly exaggerating the probability of rain when it is unlikely to occur — saying there is a 20 percent change when they know it is really a 5 or 10 percent chance — covering their butts in the case of an unexpected sprinkle.\n", "\n", "\n", "As you can see, loss functions can be used for good and evil: with great power, comes great — well you know.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loss functions in the real world\n", "\n", "So far we have been under the unrealistic assumption that we know the true parameter. Of course if we knew the true parameter, bothering to guess an estimate is pointless. Hence a loss function is really only practical when the true parameter is unknown. \n", "\n", "In Bayesian inference, we have a mindset that the unknown parameters are really random variables with prior and posterior distributions. Concerning the posterior distribution, a value drawn from it is a *possible* realization of what the true parameter could be. Given that realization, we can compute a loss associated with an estimate. As we have a whole distribution of what the unknown parameter could be (the posterior), we should be more interested in computing the *expected loss* given an estimate. This expected loss is a better estimate of the true loss than comparing the given loss from only a single sample from the posterior.\n", "\n", "First it will be useful to explain a *Bayesian point estimate*. The systems and machinery present in the modern world are not built to accept posterior distributions as input. It is also rude to hand someone over a distribution when all they asked for was an estimate. In the course of an individual's day, when faced with uncertainty we still act by distilling our uncertainty down to a single action. Similarly, we need to distill our posterior distribution down to a single value (or vector in the multivariate case). If the value is chosen intelligently, we can avoid the flaw of frequentist methodologies that mask the uncertainty and provide a more informative result.The value chosen, if from a Bayesian posterior, is a Bayesian point estimate. \n", "\n", "Suppose $P(\\theta | X)$ is the posterior distribution of $\\theta$ after observing data $X$, then the following function is understandable as the *expected loss of choosing estimate $\\hat{\\theta}$ to estimate $\\theta$*:\n", "\n", "$$ l(\\hat{\\theta} ) = E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] $$\n", "\n", "This is also known as the *risk* of estimate $\\hat{\\theta}$. The subscript $\\theta$ under the expectation symbol is used to denote that $\\theta$ is the unknown (random) variable in the expectation, something that at first can be difficult to consider.\n", "\n", "We spent all of last chapter discussing how to approximate expected values. Given $N$ samples $\\theta_i,\\; i=1,...,N$ from the posterior distribution, and a loss function $L$, we can approximate the expected loss of using estimate $\\hat{\\theta}$ by the Law of Large Numbers:\n", "\n", "$$\\frac{1}{N} \\sum_{i=1}^N \\;L(\\theta_i, \\hat{\\theta} ) \\approx E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] = l(\\hat{\\theta} ) $$\n", "\n", "Notice that measuring your loss via an *expected value* uses more information from the distribution than the MAP estimate which, if you recall, will only find the maximum value of the distribution and ignore the shape of the distribution. Ignoring information can over-expose yourself to tail risks, like the unlikely hurricane, and leaves your estimate ignorant of how ignorant you really are about the parameter.\n", "\n", "Similarly, compare this with frequentist methods, that traditionally only aim to minimize the error, and do not consider the *loss associated with the result of that error*. Compound this with the fact that frequentist methods are almost guaranteed to never be absolutely accurate. Bayesian point estimates fix this by planning ahead: your estimate is going to be wrong, you might as well err on the right side of wrong." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Optimizing for the *Showcase* on *The Price is Right*\n", "\n", "Bless you if you are ever chosen as a contestant on the Price is Right, for here we will show you how to optimize your final price on the *Showcase*. For those who forget the rules:\n", "\n", "\n", "1. Two contestants compete in *The Showcase*. \n", "2. Each contestant is shown a unique suite of prizes.\n", "3. After the viewing, the contestants are asked to bid on the price for their unique suite of prizes.\n", "4. If a bid price is over the actual price, the bid's owner is disqualified from winning.\n", "5. If a bid price is under the true price by less than $250, the winner is awarded both prizes.\n", "\n", "The difficulty in the game is balancing your uncertainty in the prices, keeping your bid low enough so as to not bid over, and trying to bid close to the price.\n", "\n", "Suppose we have recorded the *Showcases* from previous *The Price is Right* episodes and have *prior* beliefs about what distribution the true price follows. For simplicity, suppose it follows a Normal:\n", "\n", "\n", "$$\\text{True Price} \\sim \\text{Normal}(\\mu_p, \\sigma_p )$$\n", "\n", "\n", "In a later chapter, we will actually use *real Price is Right Showcase data* to form the historical prior, but this requires some advanced PyMC3 use so we will not use it here. For now, we will assume $\\mu_p = 35 000$ and $\\sigma_p = 7500$.\n", "\n", "We need a model of how we should be playing the *Showcase*. For each prize in the prize suite, we have an idea of what it might cost, but this guess could differ significantly from the true price. (Couple this with increased pressure being onstage and you can see why some bids are so wildly off). Let's suppose your beliefs about the prices of prizes also follow Normal distributions:\n", "\n", "$$ \\text{Prize}_i \\sim \\text{Normal}(\\mu_i, \\sigma_i ),\\;\\; i=1,2$$\n", "\n", "This is really why Bayesian analysis is great: we can specify what we think a fair price is through the $\\mu_i$ parameter, and express uncertainty of our guess in the $\\sigma_i$ parameter. \n", "\n", "We'll assume two prizes per suite for brevity, but this can be extended to any number. \n", "The true price of the prize suite is then given by $\\text{Prize}_1 + \\text{Prize}_2 + \\epsilon$, \n", "where $\\epsilon$ is some error term.\n", "\n", "We are interested in the updated $\\text{True Price}$ given we have observed both prizes and have belief distributions about them. We can perform this using PyMC3. \n", "\n", "Lets make some values concrete. Suppose there are two prizes in the observed prize suite: \n", "\n", "1. A trip to wonderful Toronto, Canada! \n", "2. A lovely new snowblower!\n", "\n", "We have some guesses about the true prices of these objects, but we are also pretty uncertain about them. I can express this uncertainty through the parameters of the Normals:\n", "\n", "\n", "\\begin{align}\n", "& \\text{snowblower} \\sim \\text{Normal}(3 000, 500 )\\\\\\\\\n", "& \\text{Toronto} \\sim \\text{Normal}(12 000, 3000 )\\\\\\\\\n", "\\end{align}\n", "\n", "For example, I believe that the true price of the trip to Toronto is 12 000 dollars, and that there is a 68.2% chance the price falls 1 standard deviation away from this, i.e. my confidence is that there is a 68.2% chance the trip is in [9 000, 15 000].\n", "\n", "We can create some PyMC3 code to perform inference on the true price of the suite." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwUAAAIXCAYAAADNDPJdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc328277828>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import scipy.stats as stats\n", "from IPython.core.pylabtools import figsize\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "figsize(12.5, 9)\n", "\n", "norm_pdf = stats.norm.pdf\n", "\n", "plt.subplot(311)\n", "x = np.linspace(0, 60000, 200)\n", "sp1 = plt.fill_between(x , 0, norm_pdf(x, 35000, 7500), \n", " color = \"#348ABD\", lw = 3, alpha = 0.6,\n", " label = \"historical total prices\")\n", "p1 = plt.Rectangle((0, 0), 1, 1, fc=sp1.get_facecolor()[0])\n", "plt.legend([p1], [sp1.get_label()])\n", "\n", "plt.subplot(312)\n", "x = np.linspace(0, 10000, 200)\n", "sp2 = plt.fill_between(x , 0, norm_pdf(x, 3000, 500), \n", " color = \"#A60628\", lw = 3, alpha = 0.6,\n", " label=\"snowblower price guess\")\n", "\n", "p2 = plt.Rectangle((0, 0), 1, 1, fc=sp2.get_facecolor()[0])\n", "plt.legend([p2], [sp2.get_label()])\n", "\n", "plt.subplot(313)\n", "x = np.linspace(0, 25000, 200)\n", "sp3 = plt.fill_between(x , 0, norm_pdf(x, 12000, 3000), \n", " color = \"#7A68A6\", lw = 3, alpha = 0.6,\n", " label = \"Trip price guess\")\n", "plt.autoscale(tight=True)\n", "p3 = plt.Rectangle((0, 0), 1, 1, fc=sp3.get_facecolor()[0])\n", "plt.legend([p3], [sp3.get_label()]);" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-------100%-------] 50000 of 50000 in 8.2 sec. | SPS: 6119.0 | ETA: 0.0" ] } ], "source": [ "import pymc3 as pm\n", "\n", "data_mu = [3e3, 12e3]\n", "\n", "data_std = [5e2, 3e3] \n", "\n", "mu_prior = 35e3\n", "std_prior = 75e2\n", "with pm.Model() as model:\n", " true_price = pm.Normal(\"true_price\", mu=mu_prior, sd=std_prior)\n", " \n", " prize_1 = pm.Normal(\"first_prize\", mu=data_mu[0], sd=data_std[0])\n", " prize_2 = pm.Normal(\"second_prize\", mu=data_mu[1], sd=data_std[1])\n", " price_estimate = prize_1 + prize_2\n", " \n", " logp = pm.Normal.dist(mu=price_estimate, sd=(3e3)).logp(true_price)\n", " error = pm.Potential(\"error\", logp)\n", " \n", "\n", " trace = pm.sample(50000, step=pm.Metropolis())\n", " burned_trace = trace[10000:]\n", "\n", "price_trace = burned_trace[\"true_price\"]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwUAAAELCAYAAACI8CogAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wEjAMuk0X1SegAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc3282775c0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 4)\n", "\n", "import scipy.stats as stats\n", "\n", "x = np.linspace(5000, 40000)\n", "plt.plot(x, stats.norm.pdf(x, 35000, 7500), c = \"k\", lw = 2, \n", " label = \"prior dist. of suite price\")\n", "\n", "_hist = plt.hist(price_trace, bins = 35, normed= True, histtype= \"stepfilled\")\n", "plt.title(\"Posterior of the true price estimate\")\n", "plt.vlines(mu_prior, 0, 1.1*np.max(_hist[0]), label = \"prior's mean\",\n", " linestyles=\"--\")\n", "plt.vlines(price_trace.mean(), 0, 1.1*np.max(_hist[0]), \\\n", " label = \"posterior's mean\", linestyles=\"-.\")\n", "plt.legend(loc = \"upper left\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that because of our two observed prizes and subsequent guesses (including uncertainty about those guesses), we shifted our mean price estimate down about \\$15,000 dollars from the previous mean price.\n", "\n", "A frequentist, seeing the two prizes and having the same beliefs about their prices, would bid $\\mu_1 + \\mu_2 = 35000$, regardless of any uncertainty. Meanwhile, the *naive Bayesian* would simply pick the mean of the posterior distribution. But we have more information about our eventual outcomes; we should incorporate this into our bid. We will use the loss function above to find the *best* bid (*best* according to our loss).\n", "\n", "What might a contestant's loss function look like? I would think it would look something like:\n", "\n", " def showcase_loss(guess, true_price, risk = 80000):\n", " if true_price < guess:\n", " return risk\n", " elif abs(true_price - guess) <= 250:\n", " return -2*np.abs(true_price)\n", " else:\n", " return np.abs(true_price - guess - 250)\n", "\n", "where `risk` is a parameter that defines of how bad it is if your guess is over the true price. A lower `risk` means that you are more comfortable with the idea of going over. If we do bid under and the difference is less than $250, we receive both prizes (modeled here as receiving twice the original prize). Otherwise, when we bid under the `true_price` we want to be as close as possible, hence the `else` loss is a increasing function of the distance between the guess and true price." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For every possible bid, we calculate the *expected loss* associated with that bid. We vary the `risk` parameter to see how it affects our loss:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxQAAAHVCAYAAABoqL2pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2f2584cf8>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 7)\n", "#numpy friendly showdown_loss\n", "\n", "\n", "def showdown_loss(guess, true_price, risk = 80000):\n", " loss = np.zeros_like(true_price)\n", " ix = true_price < guess\n", " loss[~ix] = np.abs(guess - true_price[~ix])\n", " close_mask = [abs(true_price - guess) <= 250]\n", " loss[close_mask] = -2*true_price[close_mask]\n", " loss[ix] = risk\n", " return loss\n", "\n", "\n", "guesses = np.linspace(5000, 50000, 70) \n", "risks = np.linspace(30000, 150000, 6)\n", "expected_loss = lambda guess, risk: \\\n", " showdown_loss(guess, price_trace, risk).mean()\n", " \n", "for _p in risks:\n", " results = [expected_loss(_g, _p) for _g in guesses]\n", " plt.plot(guesses, results, label = \"%d\"%_p)\n", " \n", "plt.title(\"Expected loss of different guesses, \\nvarious risk-levels of \\\n", "overestimating\")\n", "plt.legend(loc=\"upper left\", title=\"Risk parameter\")\n", "plt.xlabel(\"price bid\")\n", "plt.ylabel(\"expected loss\")\n", "plt.xlim(5000, 30000);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Minimizing our losses\n", "\n", "It would be wise to choose the estimate that minimizes our expected loss. This corresponds to the minimum point on each of the curves above. More formally, we would like to minimize our expected loss by finding the solution to\n", "\n", "$$ \\text{arg} \\min_{\\hat{\\theta}} \\;\\;E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] $$\n", "\n", "The minimum of the expected loss is called the *Bayes action*. We can solve for the Bayes action using Scipy's optimization routines. The function in `fmin` in `scipy.optimize` module uses an intelligent search to find a minimum (not necessarily a *global* minimum) of any uni- or multivariate function. For most purposes, `fmin` will provide you with a good answer. \n", "\n", "We'll compute the minimum loss for the *Showcase* example above:\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "minimum at risk 30000: 14723.45\n", "minimum at risk 54000: 13500.92\n", "minimum at risk 78000: 11900.78\n", "minimum at risk 102000: 11649.08\n", "minimum at risk 126000: 11649.08\n", "minimum at risk 150000: 11329.30\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAw0AAAHVCAYAAACzExeLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n02hlFF8AAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2de1cb518>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.optimize as sop\n", "\n", "ax = plt.subplot(111)\n", "\n", "\n", "for _p in risks:\n", " _color = next(ax._get_lines.prop_cycler)\n", " _min_results = sop.fmin(expected_loss, 15000, args=(_p,),disp = False)\n", " _results = [expected_loss(_g, _p) for _g in guesses]\n", " plt.plot(guesses, _results , color = _color['color'])\n", " plt.scatter(_min_results, 0, s = 60, \\\n", " color= _color['color'], label = \"%d\"%_p)\n", " plt.vlines(_min_results, 0, 120000, color = _color['color'], linestyles=\"--\")\n", " print(\"minimum at risk %d: %.2f\" % (_p, _min_results))\n", " \n", "plt.title(\"Expected loss & Bayes actions of different guesses, \\n \\\n", "various risk-levels of overestimating\")\n", "plt.legend(loc=\"upper left\", scatterpoints = 1, title = \"Bayes action at risk:\")\n", "plt.xlabel(\"price guess\")\n", "plt.ylabel(\"expected loss\")\n", "plt.xlim(7000, 30000)\n", "plt.ylim(-1000, 80000);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As intuition suggests, as we decrease the risk threshold (care about overbidding less), we increase our bid, willing to edge closer to the true price. It is interesting how far away our optimized loss is from the posterior mean, which was about 20 000. \n", "\n", "Suffice to say, in higher dimensions being able to eyeball the minimum expected loss is impossible. Hence why we require use of Scipy's `fmin` function.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "______\n", "\n", "### Shortcuts\n", "\n", "For some loss functions, the Bayes action is known in closed form. We list some of them below:\n", "\n", "- If using the mean-squared loss, the Bayes action is the mean of the posterior distribution, i.e. the value $$ E_{\\theta}\\left[ \\theta \\right] $$ minimizes $E_{\\theta}\\left[ \\; (\\theta - \\hat{\\theta})^2 \\; \\right]$. Computationally this requires us to calculate the average of the posterior samples [See chapter 4 on The Law of Large Numbers]\n", "\n", "- Whereas the *median* of the posterior distribution minimizes the expected absolute-loss. The sample median of the posterior samples is an appropriate and very accurate approximation to the true median.\n", "\n", "- In fact, it is possible to show that the MAP estimate is the solution to using a loss function that shrinks to the zero-one loss.\n", "\n", "\n", "Maybe it is clear now why the first-introduced loss functions are used most often in the mathematics of Bayesian inference: no complicated optimizations are necessary. Luckily, we have machines to do the complications for us. \n", "\n", "## Machine Learning via Bayesian Methods\n", "\n", "Whereas frequentist methods strive to achieve the best precision about all possible parameters, machine learning cares to achieve the best *prediction* among all possible parameters. Of course, one way to achieve accurate predictions is to aim for accurate predictions, but often your prediction measure and what frequentist methods are optimizing for are very different. \n", "\n", "For example, least-squares linear regression is the most simple active machine learning algorithm. I say active as it engages in some learning, whereas predicting the sample mean is technically *simpler*, but is learning very little if anything. The loss that determines the coefficients of the regressors is a squared-error loss. On the other hand, if your prediction loss function (or score function, which is the negative loss) is not a squared-error, like AUC, ROC, precision, etc., your least-squares line will not be optimal for the prediction loss function. This can lead to prediction results that are suboptimal. \n", "\n", "Finding Bayes actions is equivalent to finding parameters that optimize *not parameter accuracy* but an arbitrary performance measure, however we wish to define performance (loss functions, AUC, ROC, precision/recall etc.).\n", "\n", "The next two examples demonstrate these ideas. The first example is a linear model where we can choose to predict using the least-squares loss or a novel, outcome-sensitive loss. \n", "\n", "The second example is adapted from a Kaggle data science project. The loss function associated with our predictions is incredibly complicated. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "##### Example: Financial prediction\n", "\n", "\n", "Suppose the future return of a stock price is very small, say 0.01 (or 1%). We have a model that predicts the stock's future price, and our profit and loss is directly tied to us acting on the prediction. How should we measure the loss associated with the model's predictions, and subsequent future predictions? A squared-error loss is agnostic to the signage and would penalize a prediction of -0.01 equally as bad a prediction of 0.03:\n", "\n", "$$ (0.01 - (-0.01))^2 = (0.01 - 0.03)^2 = 0.004$$\n", "\n", "If you had made a bet based on your model's prediction, you would have earned money with a prediction of 0.03, and lost money with a prediction of -0.01, yet our loss did not capture this. We need a better loss that takes into account the *sign* of the prediction and true value. We design a new loss that is better for financial applications below:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAv8AAAEdCAYAAACbnwg2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAEM048zNZLMeAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2de0f7e48>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 4)\n", "\n", "\n", "def stock_loss(true_return, yhat, alpha = 100.):\n", " if true_return * yhat < 0:\n", " #opposite signs, not good\n", " return alpha*yhat**2 - np.sign(true_return)*yhat \\\n", " + abs(true_return) \n", " else:\n", " return abs(true_return - yhat)\n", " \n", " \n", "true_value = .05\n", "pred = np.linspace(-.04, .12, 75)\n", "\n", "plt.plot(pred, [stock_loss(true_value, _p) for _p in pred], \\\n", " label = \"Loss associated with\\n prediction if true value = 0.05\", lw =3) \n", "plt.vlines(0, 0, .25, linestyles=\"--\")\n", "\n", "plt.xlabel(\"prediction\")\n", "plt.ylabel(\"loss\")\n", "plt.xlim(-0.04, .12)\n", "plt.ylim(0, 0.25)\n", "\n", "true_value = -.02\n", "plt.plot(pred, [stock_loss(true_value, _p) for _p in pred], alpha = 0.6, \\\n", " label = \"Loss associated with\\n prediction if true value = -0.02\", lw =3) \n", "plt.legend()\n", "plt.title(\"Stock returns loss if true value = 0.05, -0.02\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the change in the shape of the loss as the prediction crosses zero. This loss reflects that the user really does not want to guess the wrong sign, especially be wrong *and* a large magnitude. \n", "\n", "Why would the user care about the magnitude? Why is the loss not 0 for predicting the correct sign? Surely, if the return is 0.01 and we bet millions we will still be (very) happy.\n", "\n", "Financial institutions treat downside risk, as in predicting a lot on the wrong side, and upside risk, as in predicting a lot on the right side, similarly. Both are seen as risky behaviour and discouraged. Hence why we have an increasing loss as we move further away from the true price. (With less extreme loss in the direction of the correct sign.)\n", "\n", "We will perform a regression on a trading signal that we believe predicts future returns well. Our dataset is artificial, as most financial data is not even close to linear. Below, we plot the data along with the least-squares line." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwAAAAEdCAYAAAC7VgDiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8VNX9//HXJxBUBCJLAwiiwd2v1IBUbUtxwQWsVSsu\nuKOV6ldbrbXfqtja2m8V8affqrWLguK+ALF1qVGU2trUaoUhiAqoiOybgGFTCJnz++NO0mGYTGaS\nWc7MvJ+PxzzIvXPuvWfmMzOcc+/nnGvOOUREREREpDiU5LoCIiIiIiKSPeoAiIiIiIgUEXUARERE\nRESKiDoAIiIiIiJFRB0AEREREZEiog6AiIiIiEgRUQdARIqOmb1uZg+kq1yKxw6b2Xnp3Kdkh5mN\nNrP6qOWLzWxbLuvUKBOf1RSOPcnMpuXi2CLSOu1zXQERKT5mNgm4GHCART21yTnXJQtV+C6wPY3l\nvGBmE4B9nXPH5bou2WZmHwGPOed+lcHDuMij0dPASxk8Xiry6rMqIrmlDoCI5MobwFns2AEIZ+PA\nzrnPEz1vZqXOufqWymWLmbV3zmW1cdf4HmTzmNmQzvfSObcVWJOOfbWVL59VEckPSgESkVzZ5pxb\n45xbHfX4rPHJSErDRDP7XzNbZWbrI3+bmd1sZivNbLWZ/Tp6p2a20Mx+bWYTzKzOzNaY2a0xZXZI\nl4g61q/MbDmwKLL+b7FpFWZ2lZm9b2ZfRuo1Jeq5c83sLTP7PHLcF81s/1TelEhaSb2ZHWNmITP7\nEhgWee4EM6sxsy1mttTMHjKzbpHnfgF8Dzg6kmbUYGYXRZ7bKe3IzF41s4di3rf/NbPfmdlnBB20\nxm3/28weNbMNZrbEzG6I2ddpkbpujsTpLTM7rJnXd7yZbTezPWPWnxPZvlNkeayZLYi8z6vNrNrM\ndmlmn68D+wK/iHrt/cys8b042cz+YWZbgO+Z2R5m9piZLYq8l/PM7Mcx+7Soz94GM3sK6BpTJl5K\nUL2ZfcPMZkZezwwzGxyz3TAze9fMvoi8b0PixShmmz5mNjXyufrCzD42s+ui34OYz/SuZvZA5LO4\n1szuNbNbLbhS0lhmUuRzMMbMPo18X54zs69EldnHzKrMbFnk9bxrZhc0V08RyQ/qAIiIz0YSXKn8\nJnAtcBPwF6AjMAT4CTDWzE6K2e4HwDJgMPAj4Boz+2ELxzoL6AEcB5wQWRed7oGZ3QKMA+4DDo2U\nmxlVpAPwv0AlcDxBSsZfzCzVq60lwO0Er/kgYIaZHQf8GXgycuzTgL2BZyPb3Bl57l9AT6A38EyK\nx/0hsAo4Crgkav3NwN+Bwwhe/21mdiyAmfUEJgNPAIdEtr2b5tNRpgPLgfNj1l8EPOuc22RmZwDX\nR+qzH8F7WZ2g3mcAnwJ3Ab0IXvuSqOfvJHg/DwZeAHYB5gCnRtb9CvilmV0ctc3VBJ+d64BBBHH+\nRcxxY1OCIIjdbZG6DwRWA8+YWQlApOPzPEGcBkb2f3ec/cT6A9CF4PN5IEFnb2mC8ncA3yF4n48C\nNgFXxjnO14BjgJOBE4EBBO9Xo04EMTuJ4HN3P/CQmR3dQn1FxGfOOT300EOPrD6ASUA9sDHm8VxU\nmdeBUMx27wGzY9bVAndELS8E/h5T5lZgUcy+H4hZnhennk3lCDodW4BrU3id3QjSmr4etS4MnJdg\nm4uBBuAbcepyW8y6fpH9fTWyPAH4a5x97nRM4FXgoZj37dVmtv1NzLoPgFsjf1dG6tsvhfdlHPBu\n1HJ55PNwfGT5R8A8oF0K+/wIuDlm3dEtvd9RZe8GXolaXgL8KqbMFIIrV9Gxil1uAA6LWndEZN3+\nUZ/FTwCLKnNSEp+L2tjX18Jn9UtgdEyZfwEfRi1PAlYC7aPW/RRY1sJ79Wfg/pj9TEs2VnrooUfu\nH7oCICK58hbwVYKzyo2Py2PKzI5ZXgm8G2ddecy6f8Us/xPo25he0oyZCZ4D+C+CM8evNlfAzCrN\n7Fkz+8TMNhCkEjmCM/WpmhGz/DXgR2a2sfEBvB/Zf0ppRgn8u5n1sXFYTnCVAYJ4TAPej7z2q82s\nbwvHeQQ41MwqI8sXEFx5mB5ZnkxwNWVxJE3lghZil4gD3oleEUnvucHMZkVSajYCVxCJk5l1Bvqw\n8+eoJsnjRX9GlxOMc2l8vw4G3nHORZ+Jjz1OPHcDN0XSq243s28lKLsfUAq8HbM+3nHmuR3HRETH\nFjPbLXK89yKpRBuBEbTuMy0inlAHQERy5Qvn3ELn3CdRj5UxZWIHobpm1qXjt2xzWzY2s92AVwjO\n5I4maLA35n53SHF3Dc652OklS4Dx7NhhOoyg8Z8oPQZ2nm0JggZirObeg9i6NL3nzrmwc24EcCxB\nB2Ik8KGZndxsZZybR9DBuSiy6kKCGXxc5PnlBGkulxB0DH4GzDezPs3tswWxr+snBClGdxOkFx0G\nTCT1OMUTjmncN/5dEmdd0pxzDxNc8fkDQZpTtZk9mmATS/I48WIb/Vm5EziPIP3pGIL3qpr0vFci\nkiPqAIhIIToqZvmbBGkNm9qwzw+ArQR50vEcTDCG4Cbn3BvOuflAd3ZueLfWDOC/YjpMjY8tkTLb\ngHZxtl0NNA26jQymPSRN9QLAOTfDOXe7c+5ogvECl7SwySPAuWY2kKBRuUNj1gWzME1zzt1AcKWo\nI3B6gv0199rj+RbwsnPuEefcbOfcJ8ABUcfeSDCG5Bsx2w1Jcv+JfAB8zcyiPxdfT2ZD59yqSJ1H\nE4wBOL+ZKyMfE7wfsfuN/V4k41vAE865KufcHIJUsQNa2EZEPKdpQEUkVzpEBpDuwDm3Kg37rjSz\nm4GnCM7EX00wgLjVnHObzewugsGiXxKkAnUERjjnbidI99kKXB0pV0GQ656uqU1vBl6J7PtRgjET\nBwBnAle5YErKhcCZZnYIwZnzjZErCa8BV5jZPwgGg44lTWdwzezrBLMUTQNWROr0VYLxCIk8Bfwf\n8CAw0zk3N2qflxKcoPo38DnBWfpOBI3n5iwEvmlmexGM1VjXuLs4ZecDF5jZMQQN/YsIcvXXRZW5\nC/iVmc0nSFc7LfI62+r3BGMc/mhmvyEYsPxr4g8obmJmvyW458B8YDeCKy2L43VqnXNbzOx+4Ndm\nthr4kGB8QuPnIhXzgdPM7FmCKynXEnQmY6/WiUge0RUAEcmVbxHkGzc+VgDLLTKtZRv9liBHeQZw\nD3Cvc+7eqOdjG1rNNbx2WO+c+zlBR+KHBLPIvEwwkwvOubUEuezHEwxWvoNghpfYDkDK6R+R/f+N\nYAaYAQRTdM4maKRu4D9pUQ8S5Lu/SXDWf1Rk/U8idXqZYBalv7Nzvn9S70EcdQRnmv9M0NCcCDxG\n0KhN9HrWRepyGMHVgGjrCa4gvE7Q6P8RMMY593qCXf4C2IOgwboa2CtB/f+X4D34M8F7tQfB5yTa\nPcC9BJ2UWcCRwC2JXlMCTXWIpDedSvCezQJ+Q5DiZAQDd5tjkbJzgL8RdAKi06xiX+dPCWY8eoJg\nLEBX4OEWjhHPtQSd278SdHqXEgyGFpE8ZjumKoqI5DczWwhMcM7dluu6iCTDzIYSdHa+6px7P4PH\nmQ6sc86dlaljiEh+UAqQiIhIFpnZFQRXcJYTzC71f8Bb6Wz8m9mhBPcv+BfB7FUXEgziHZ6uY4hI\n/lIHQEQKjS5riu/2Bm4kmL52JcH4iRsSbpE6B/w3QSpTCcF9FU53zjU7ja2IFA+lAImIiIiIFBEN\nAhYRERERKSJFlwI0ffp0XfLIktraWiorK1suKFmhePhDsfCL4uEXxcMviodfWorHsGHDkrr3TNF1\nAAAGDRqU6yoUhWnTpum99oji4Q/Fwi+Kh18UD7/4EI9QKMSIESOor6+ntLSU6urqnNcpVxLFIxQK\nJb2fouwASHYsXrw411WQKIqHPxQLvygeflE8/OJDPCorK6murmbhwoVUVFQU9RWJdMVDHQARERER\n8VZJSQmDBg0q2rP+maBBwJIx5513Xq6rIFEUD38oFn5RPPyiePhF8fBLuuJRdNOATp8+3akHKSIi\nIiKFJBQKaRBwqpxzrF69moaGhlxXpWDU1dVRVlaW62p4wTlHWVkZnTp1ylkdampqGDJkSM6OL/+h\nWPhF8fCL4uEXxcMv6YqHOgARq1evpnPnznTs2DHXVSkYe+65Z66r4A3nHOvWrWPr1q10794919UR\nERGRIqYUoIjly5erwSoZp8+ZiIiIZEIqKUBeDQI2s+FmNs/MPjSz65spc6+ZfWRmtWZWGfNciZmF\nzOz57NRYRERERCS/eNMBMLMS4D7gJOC/gHPN7KCYMiOAfZ1z+wOXA3+M2c01wAdZqK5I3qmpqcl1\nFSRCsfCL4uEXxcMviodf0hUPbzoAwBHAR865Rc65euBp4LSYMqcBjwI4594GysysJ4CZ9QVOBiZm\nr8pSCJYsWUL37t0Jh8MAnH322TzzzDM5rpWIiIhIZvjUAegDLIlaXhpZl6jMsqgyvwH+Byi4QQ2V\nlZW88cYbWTte9+7d+fTTT7N2PB+Y/SdlbvLkyZxzzjk5rE1maBYHfygWflE8/KJ4+EXx8Eu64lEQ\nswCZ2beBVc65WjM7Bmh2AMTUqVOZOHEi/fr1A6CsrIwBAwbQv3//7FQ2D0Q3hn3mnMubujaqq6vj\nk08+afoCN17K07KWtaxlLWtZy1pOZXnOnDnU1dUBsHjxYgYPHsywYcNIhjezAJnZUcAvnXPDI8s3\nAM45Nz6qzB+B151zz0SW5wFHE+T+XwBsB3YDOgPPOucuij1OPs4CVFlZyb333svQoUN3eu6VV17h\ntttuY/HixRx00EHcddddHHLIIQDcc889PProo6xZs4a+ffty00038e1vfxuAhQsXcvXVVzNnzhw6\ndOjA0KFDmThxIqeccgr/+te/6NixI2bGvffey+mnn77Tce+55x4eeOABNm7cSO/evbnzzjv51re+\nxZdffsl1111HdXU1vXr14txzz+X+++/nvffeA4KrCzNnzmSfffYB4KqrrqJPnz6MHTuWuro6rrji\nCmbOnElDQwNHHHEEd911V1NcTj31VI488simD31NTQ3dunXjpptuYvr06ZSUlHDuuecyduxYzKzZ\n1xhryZIlDBw4kNWrV1NSUsKpp57K2WefzQUXXMBTTz3FY489xuDBg3n88cfZY489uOOOOzj++OMB\n2LBhAz/72c947bXXdjp+PLn8nNXUaC5nXygWflE8/KJ4+EXx8EuieOTrjcDeAfYzs72BFcAo4NyY\nMs8DVwHPRDoMnzvnVgFjIw/M7GjguniN/9Y6ceKsdO2KaZcNTNu+3n33Xa6++mqefvppKisrmTx5\nMueddx7vvPMOpaWlVFRUUF1dTXl5OX/+85+bGtfl5eXcdtttHHfccbzwwgts27aNWbOC1/jiiy/S\nvXt3ampq2HvvveMe9+OPP2bixIm8/vrrlJeXs3Tp0qYbqI0fP55FixZRW1vLpk2bOOuss3ZoDCc6\nYx8Ohzn//PN5+OGH2b59Oz/84Q+5/vrreeyxx5rKTJ48mSlTprDffvsRDoe55JJL6NmzJ6FQiM2b\nNzNq1Cj69u3LxRdf3OxrTFUoFOK8885jwYIFPPzww1xzzTW8//77QNCBae74IiIiIj7yZgyAc64B\n+AEwDXgfeNo5N9fMLjez70fKvAQsNLOPgfuBK3NWYQ88+uijjB49moEDB2JmnHPOOeyyyy7MmDED\nCM6Yl5eXA3D66afTv39/QqEQAKWlpSxZsoTly5fToUMHjjzyyB32nejKULt27aivr2fu3Lls376d\nvn37NnUWnnvuOa677jq6dOnCnnvuyfe///2k99u1a1dOOeUUdtllF3bffXeuvfZa3nzzzR3KnHvu\nuRxwwAGUlJSwfv16XnvtNW699VZ23XVXunfvzhVXXMGf/vSnpF5jsvbaay8uuOACzIxRo0axcuVK\n1qxZw5o1a+Ie/9lnn23VcTJNZ3D8oVj4RfHwi+LhF8XDL+mKh09XAHDOvQwcGLPu/pjlH7Swj78D\nf09nvdJ51j6dlixZwjPPPMOECROAoHG9fft2VqxYAcDTTz/NH/7wBxYvXgzAli1bWLt2LQC33HIL\nt956KyeccAJ77LEHV155Jeeff37c45x99tm89dZbAPzmN79h5MiR3HrrrYwfP5758+dz3HHH8etf\n/5qePXuycuXKHVJc9tprr6RfzxdffMHYsWP561//Sl1dHc45Nm/evEOuf58+/xkXvmTJEurr6zn4\n4IObXr9zjr59+6b8GhNp7EQB7LbbbgBs3ryZdevWJTy+iIiIiI+86gBIavr06cOPf/xjrr322p2e\nW7p0Kddeey3PPfccRxxxBABHH3100xn4r3zlK9x9990AvPXWW5xxxhl885vfbMrNjzZ58uSd1o0c\nOZKRI0eyadMmrr32Wm655RZ+//vf07NnT5YtW8aBBwb9uCVLluywXceOHdmyZUvT8urVq5sa9ffd\ndx+ffPIJ06dPp0ePHrz33nscc8wxO3QAolOI+vTpw6677sqCBQviphal8hpbo6Xj+0Z5nP5QLPyi\nePhF8fCL4uGXdMXDmxQgSWzbtm1s3bq16dHQ0MBFF13EpEmTmDlzJhCclX711VfZvHkzmzdvpqSk\npGl++yeeeIK5c+c27e+5555j+fLlQDATUklJCSUlwcehZ8+eCacB/fjjj/nHP/7Btm3b6NChA7vu\numtTA/j000/n7rvvpq6ujmXLlu006HbAgAFUVVURDod57bXXdkjx2bx5M7vuuiudO3dm/fr1jB8/\nnkR69uzJsccey9ixY9m4cSPOOT799NOmfSZ6jbFaMxi+peOLiIiI+EgdgDwxatQo+vTpw5577kmf\nPn0YP348lZWV3H333Vx//fX079+fI444gqeeegqAAw88kCuvvJITTzyRgw46iHnz5nHUUUc17W/W\nrFmccMIJ9OvXjwsvvJBx48Y1TY3605/+lCuvvJL+/fvz3HPP7VSXbdu2ccstt7D//vtzyCGHsHbt\nWm6++eambfv27UtlZSVnnXXWTvPp33bbbVRXV1NRUcGzzz7bNCsRwBVXXMEXX3zB/vvvz/Dhw5tm\n2mkU7yz773//e+rr6/n6179O//79ueSSS1i1alWLrzFWsgOVY59PdHzf6AyOPxQLvygeflE8/KJ4\n+CVd8fBmGtBsycdpQPPZP//5T6644grmzJmT66p4QZ8zERERyYRUpgHVFQCRItF4ExHJPcXCL4qH\nXxQPvygefklXPNQBEBEREREpIkoBilBqhmSDPmciIiKSDp+u/4JHZ66g5tM6AG4f5PLyTsAiIiIi\nInE1NDQwe/ZsFi5cSEVFBZWVlc3O7leIVm/axhOzVlI9f22b91U875pIkVMepz8UC78oHn5RPPzi\nUzxmz57NiBEjGDNmDCNGjKC2tjbXVcqoDV9u56F3lnPixFmcOHEWFzz9Ps+8NH2ncrt3aMdVX0/t\nJqS6AhDRrl07tmzZQseOHXNdFSlAzjnWrVvHLrvskuuqiIiI5KWFCxdSX18PQH19PQsXLiReWne+\n2ro9zAsfrGHSzBXUNyRO0b9wUC/OOLSc3Tu0a1oXCi1JsMWO1AGIKC8vZ/Xq1Xz++ee5rooUIOcc\nZWVldOrUKWd10FzO/lAs/KJ4+EXx8ItP8aioqKC0tJT6+npKS0upqKjIdZXapCHsmP7xOh6esYLP\nttQnLHvaIV9hVGVPunccmJZjqwMQYWb07Nkz19UQERERkTgqKyuprq7eYQxAPnHO8faSDTw8Yzmf\nrPsyYdlj9+3KhYN60bds14zURR0AyZiamhqvzhwUO8XDH4qFXxQPvygefvEpHiUlJQwaNCiv0n7m\nrt7MpBnLqV2+KWG5w/t05uLDe3NQ+e4Jy6UrHuoAiIiIiIikweL1X/JoaAVvLEycUr5f9924ZPCe\nDO7bGbOkZu5MK90HQERERESkFT7bvI0na1fx4tzPEpbr2akDowf35pj+XWlXkpkGfygU0n0ARERE\nRETSadPW7Uyds5ona1clLLdr+xIuGdybbx/Ugw7t/Zt1Xx0AyRif8gZF8fCJYuEXxcMv+R6PQrtZ\nVb7Ho622bQ/z4rzPeHjGCr7cHk5Y9vyBvRh56FfotEvmmtcaAyAiIiLimcabVTVOVVldXZ1Xg1aL\nXUPY8fqC9Tw8czmrNyWemvOUg3twXmVPeuzeIUu1Sx+NARARERFJk6qqKsaMGQNA3759ueuuu9iw\nYUNBXA0oRM45ZizdyKQZy/l47RcJyx5dsQcXHt6bfntkZmrOttIYABEREZEciL5Z1VVXXcUFF1yg\nqwGembd6Mw/PXEFo2caE5Sr37MTow/fkkJ6Jp+bMR+oASMYUe96gbxQPfygWflE8/JLv8Yi+WdXW\nrVuprw/SSOrr61m4cGHedQDyPR4AS+u+5LHQSl5fsD5huf7dduOSwb05Yq8uOZmaMxkaAyAiIiLi\nmeibVYVCoaarAaWlpVRUVOS6ekVh3ZZ6nqpdyXMfJJ6as0fHUkYP7s2w/bplbGpOX2kMgIiIiEgG\nhMNhamtrC2ZGIF9t3tZA1ZzVPD5rZcJyHdoZowfvyXcO7sEuHk7N2VYaAyAiIiKSY9FXAyR9tjWE\nqZ63lkkzlrOlPvHUnKMO68mZA8rpsquavNH0bkjGFELeYCFRPPyhWPhF8fCL4uEXH+KxbXuYUx6e\nnVTZkw/qznmVvSjvlH9TcyZDYwBEREREpOA45zjpwdqkyg7ZZw8uOrwX+3TdLcO1KiwaAyAiIiIi\nOTX8wVmEk2ySXnFUH844tDyzFcpDGgMgIiIiIt765auf8OaiuqTLV19aWXQz9WRS4Q2BFm/U1NTk\nugoSRfHwh2LhF8XDL4qHX9IVj2ffW82JE2c1PVpq/E+5YADTLhvY9FDjP5CueOgKgIiIiIik1bsr\nNvGTv3yUdPnfnX4g+/fomMEaSTSNARAREZEWNTQ0MHv2bM1pL3F9tnkb5z31ftLlfzK0Hyce0D2D\nNSo+GgMgIiIiaTV79mxGjBjRdFfb6upqzW9fxLY1hDllUnJTcwKMOLA7136rXwZrJKlQ110yRnmc\nflE8/KFY+EXxSM7ChQupr68HoL6+noULF2bkOIqHX6LjEZ3D31Ljv0fH0h1y+NX4Tw+NARAREZGs\nqaiooLS0tOkKQEVFRa6rlDfyNX1q5GPvsuyDj+gyb/ekyk+7bGCGayTpojEAIiIi0qJwOExtbW3e\nNWJ9EAqF8iJ9avzfPmX6x+uTLv/SpZW0z9LsPPnaicqGxvcG0BgAERERSZ+SkhIGDRrkZcPVd/HS\np3x4H/8y7zPuqVmSdPmnzzuUbh1LM1ij5mkMSvMa35vq6uqkt/Gq62Rmw81snpl9aGbXN1PmXjP7\nyMxqzawysq6vmf3VzN43szlmdnV2ay7xKI/TL4qHPxQLvygefomNR0NDA6FQiKqqKmbOnMm7775L\nVVUVoVCIcDico1ruKLqO8erVmD4F5DR9au7qzTvk8bfU+L/7Owdw80Gbm/L4c9X4h+yNQfFdvN+r\n6PcmWd5cATCzEuA+YBiwHHjHzJ5zzs2LKjMC2Nc5t7+ZHQn8ETgK2A782DlXa2adgJlmNi16WxER\nEck/sWd+b7nlFsaOHZv1s8CJUlBaOjtdWVlJdXX1Dttmw/ot9Zzz5HtJl//hN/rynUO+ssO6muSn\n8s8ojUFpXnQHM1nedACAI4CPnHOLAMzsaeA0ILoRfxrwKIBz7m0zKzOzns65lcDKyPpNZjYX6BOz\nrWTZkCFDcl0FiaJ4+EOx8Ivi4ZfYeMSe+d24cWPT39lMpUnUyG8pxact6VOp5L5vDztOfqg26X0f\n038Pxh6XuCHty/cjV50o38SLR+N7kwqfOgB9gOhrUUsJOgWJyiyLrFvVuMLM9gEqgbczUUkREREf\nFeogydgzv126dAGyn0qTqJGfybPTLV1dOHHirKT31bG0hD9ffFja6pZNGoPSvMb3JhQKJb2NTx2A\nNouk/0wFrnHObYpXZurUqUycOJF+/YL5aMvKyhgwYEBTj6oxt0rLbV+OzlPzoT7Fvqx4+LPcuM6X\n+hT7cuM6X+qTaDkcDtOpUycWLlxIXV0d++23H0OHDgXgkUce4frrr6ehoYHS0lLGjRvHAQcc4FX9\nk1luXNe4/I1vfIPq6mpefvllevXqxeDBg5kwYQJ1dXVs2vSf/+ozXb+6ujratWvX9P7W1dXxxhtv\n0KlTJ1asWMHNN99MXV0dw4cPp7KyMm3HX7Vq1Q4djxtCBqFZbFgQnOnvsm9wJry55bfGXbLT+9uW\neOT681Hsy43rampqmDNnDnV1dQAsXryYwYMHM2zYMJLhzTSgZnYU8Evn3PDI8g2Ac86NjyrzR+B1\n59wzkeV5wNHOuVVm1h54Eah2zt3T3HE0DWj21NTUNH1wJfcUD38oFn7Jp3gkmk6yqqqKMWPGNJWd\nMGECI0eOzFVVW83XeMSbBrW2tjbjM9Nc+HiIVV8mP9Xmi5ccRod26bvy42s8ilWieIRCobycBvQd\nYD8z2xtYAYwCzo0p8zxwFfBMpMPwuXOuMf3nIeCDRI1/yS79YPhF8fCHYuGXfIpHrtJQssnXeMRL\nQcnE9J6PzFzBE7NWRq1J3J57fNR/Ud6pQ5uOmYiv8ShW6YqHNx0A51yDmf0AmEYwPemDzrm5ZnZ5\n8LR7wDn3kpmdbGYfA5uB0QBm9k3gfGCOmc0CHDDWOfdyTl6MiIhIBiRq5GuQZPalo9P1r0V1/OLV\nT5Iuf8sJ/fn63mUpH0ckmjcpQNmiFKDs0WVDvyge/lAs/JJP8SiGu/EWejxWb9rGBU+/n/QxTty/\nGz85eu+2VrXV8ikexaAQU4BEREQkAc2E4pdk4lHfEObbk2Ynvc/2JcZLlya+elOoMz5J9ugKgIiI\niEgapTI1J8C0ywamVD7RYHApXroCICIiIpIlqTb4X/leJWbJz+wTKxODj6W4qAMgGaO8Qb8oHv5Q\nLPyiePglH+KRaoP/6fMOpVvH0rQdP5szPuVDPIpJuuKhDoCIiIhIAqk2+G88dh+O3bdrZiqDZnyS\nttMYABG4sBSdAAAgAElEQVQREZEod/59EdM+Wpd0+W4d2/P0eQNafTwN6pV00BgAERERSYoanzB3\n9Wauef7DlLZJdeBuIrNnz9agXskqdQAkY5Q36BfFwx+KhV8a45HJhrDPjWzfGp/Z+H5sDztOfqg2\npW0SNfjbGl+fB/Xq98ovGgMgIiKSRplsCPvWyI7mc+MznTI5NWdb45vNQb0ioA6AZJDOGPhF8fCH\nYuGXxnhksiHscyPbt8Znur4fqTb4qy+tpF1J66bmbGt8fR7Uq98rv6QrHuoAiIiIkNmGcHP79iE1\nyOfGZypSbfD//vQD2a9Hx7Qcu62fHd3hWbJNswBJxihv0C+Khz8UC780xiMcDlNbW5uRxnhz+9Yd\nXXeW7Pcj1Qb/KQf34Opv7tXaaiWUyc9Orun3yi+J4qFZgERERFKUybOwze3b59Qg3/zhraX86b01\nKW2Tzpl6EtEZfMk3ugIgIiKSI75fAUgmRSlTaUwL133B5c/OS2mbbDX4RXykKwAiIiJ5wPf8+2Rm\nt0nXDEdh5xj+YPqm5vSFD+M88o3es8xTB0AyRnmDflE8/KFY+CWX8fA9dSSZFKW2pDHFy+PfsKCW\nLvvG7wjlQ4M/ls9TwCYjF9+PfH/PMkn3ARAREZGMSmZ2m1RmwEl14O6Low+jQ/v8PvOrcR6p03uW\neeoASMboDKdfFA9/KBbNy8Wl/9bGoxjSFJJJUUpUJtUG//gR+zGwT/6d5U/Et/sspCoXv1f5/p5l\nUrrioUHAIiLSJulsCPs+KDZauupaSB2JVBv8R+7Vhf89ad8M1cYPhTxFaKboPWsdDQIWLyjP2S+K\nhz8KLRbpzNfNxaX/1sYjXXXN53znx0MreDS0MqVtWsrjL7TvR76faM1FPHwfG5NLGgMgIiJeSGej\nPZ8u/aerrvmU77xiw1YunvxBStvk48DddMrnDp4ULnUAJGMK6QxOIVA8/FFosUhnoz0X02K2Nh7p\nqqvPnR7nHCelODXn7YNcmxq4hfb9yKcOXjyFFo98l654qAMgIiJtks5Gez5d+k9XXX27F0CqefyX\nd/2EMWPGNC0vnDAhL+KXLT538KR4qQMgGVNoeZz5TvHwR6HFIp8a7fHkOh65fv9SbfD/6aKvsnuH\ndk3LoZBLawM31/FIN986eKkqtHjkO40BEBERkZSl2uC/8di9OXbfbs0+n+8N3EzLdQdPJB5NAyoi\nIhlTSFNc5pPo9/3+9f1T2rbH7qU8ee6hGaqZiGSKpgEVEREvaAaUlqW7kzTl3VVM+PdywIDkGv/F\nPlOPSLFRB0AyRnmDflE8mpfts9TFFIt8mAEl1/FoaydpzeZtnP/U+ykd0+cGf67jITtSPPyiMQAi\nImmis9SZoxlQWtaaTlKqefxtnZpTRAqLOgCSMTpj4BfFo3nZPktdTLHwbYBovKs9uY5HMp2kVBv8\nL196GLW1td6876nIdTxkR4qHX3J+HwAz2w0IO+e2pqUmIiI5orPUmePbDCixV3umTJnCkCFDcjow\nOV4nKdUG/1PnHkr33Ut3WOfT+56vNIhdClXSHQAzuxOY7Jz7t5l9G5gKODM7xzn3QsZqKHlLeYN+\nUTyal+2z1IpF7sRe7Xn77bcJhUIMHTo0Z427kpISbghFBuyuB0KzW9zme1/bk3MO65nxuuWCT98P\npQf6FQ/JzRiA84GbI3/fDFwA1AG/AdQBEJG85dtZasmc2Ks9Xbp0Yc6cOYwbNy6rjbtUz/CD3wN3\n80WqZ/TzYRC7SGuk0gHo6JzbYmbdgf7OuSoAM9s7M1WTfKczBn5RPPyhWOROZWUlU6ZM4e2336ZL\nly7cf//9XH755Tz55JMZbdz9+f01/P5fS1Paplgb/M19P9KRjpPqGf1E6YHFkh6k3yu/5GIMwIdm\ndj6wH/AqgJn1AL5IS01EREQyrKSkhCFDhtCpUyfmzZvH5Zdfzu9+97u0j/2o+3I7Zz0+J6VtirXB\nn6x0pOOkekY/UXqg0oMkn6XSAbgSuAfYBnwvsu4kYFq6KyWFQXmDflE8/KFY5FZjyldlZSW1tbWM\nGjWK4cOHt3nsR6ppPWrwx9fc9yMd6TipDvhPlB5YLOlB+r3yS9bHADjn3gG+EbPuCeCJNtciwsyG\nA3cDJcCDzrnxccrcC4wANgOjnXO1yW4rIiLSqLFxt2XLllY13FJt8M/46TAAJkyYwMiRI1M+XrFL\nx2xd6Rzwr9nDJJ+Zcy75wmYHAocBnaLXO+ceanNFzEqAD4FhwHLgHWCUc25eVJkRwA+cc982syOB\ne5xzRyWzbaPp06e7Quyhi4hkWqo5z6mUz4d86lQb/PefcRAV3XYjFAopVSQNwuHwTvc2yOVnxLf6\niIRCIYYNG2bJlE1lGtCxBLP/zAa2RD3lgDZ3AIAjgI+cc4six3saOA2IbsSfBjwK4Jx728zKzKwn\nUJHEtiIiXsqHxi+knvOcSnkf86lTbfCvnTWdhU/dttMZft9uhpavfJuty7f6iKQilf9hfgQc4Zw7\n0jl3bNTjuDTVpQ+wJGp5aWRdMmWS2VayrKamJtdVkCiKhz9iY9HY+B0zZgwjRoygtrY2RzVLLF7O\nc7rKp7rvdGqMx3cm1XLixFlNj2RMu2wgtw9yzL5pOAufui1uKkhjQ3HkyJEMGjTIy86dT/Rb5RfF\nwy/pikcqg4C/wL8z6kld5hARyaRUU10+/PBDVq1a1VQ2XwYTpprznEr5dOZTJxuPVz9ay//7+2I2\nLPiILvN2T2rftw9yO8VGZ/hFJN+k0gH4OfBbM/slsCr6CedcOA11WQb0i1ruG1kXW2avOGU6JLEt\nAFOnTmXixIn06xcULysrY8CAAU0jqht7Vlpu+/KQIUO8qk+xLysemVvu2LFjU/pKu3bteOWVVxg0\naFDc8h9++CE33nhjU9nx48dTWVnZ1Pht165dU+PXl9fXuLxp0ybGjRtHWVkZFRUVbNq0aYcZKdpS\nvrKyknHjxrFy5cqmGXnSFY/XXnuNhoYGXqx+mZc29abLvkEDfcOC4EpLouVTO6/gzjvvpNHLP/lJ\nUwcg+viNg4m3bNnS1NnIdby0rGUtF/bynDlzqKurA2Dx4sUMHjyYYcOCyQZakvQgYDNrbORHb2CA\nc861S2onifffDphPMJB3BfBv4Fzn3NyoMicDV0UGAR8F3B0ZBNzito00CFhE0q2qqooxY8Y0LSea\n5SVe2e9+97saTJhG0e/x4Dump7Tt5V0/2SEGbR3Amy/jO0Qk/2VkEDDBQNuMcc41mNkPCO4r0DiV\n51wzuzx42j3gnHvJzE42s48JpgG9JNG2mayvtCz6TJ/knuKROammurRr146GhoamshpMmD5B7n7/\npBv+L3+vkjf/+c+mqwZjYhr6bU3v8XFws+/0W+UXxcMv6YpHUh2AyBn2R4CTnHNb23zUZjjnXgYO\njFl3f8zyD5LdVkQkG1JpJFZWVjJ+/PimtBjli7dNqjP1fPSHa6iacPdOjfDmxmG0tXOWL+M7RKS4\npJICtAg4yDn3RWarlFlKARIRyV+pNvgH9+3Mr0/s32KKVabm6tc9AEQkW1JJAUqlA3ApMBT4BcE0\nm00bpmkQcFaoAyAikj9+9PyHfLB6c0rbTLtsYMrHydRNnXJxs6h0jjvQGAaR/JGpDkBGBwFnizoA\n2aO8Qb8oHv5QLJo3e/lG/uelj1PapjUN/miFFo90XnXIxRWMQotHvlM8/JIoHnk5CFhERIrP9rDj\n5IdSu/FZWxv86ebbWfJ0jjvQGAaRwpR0B8A5tyiTFZHCozMGflE8/FHssUg1jz/TDf62xsO3mX7S\neVO1dO4rWcX+/fCN4uGXdMUj6Q6AmT3Gjuk/TZxzF6WlNiIiUnBSbfD/5ZLDKG2XuTPo6T5j79tZ\n8nTembjQ7nLs29UakVxJJQUoNimzF3Am8ET6qiOFRHmDflE8/FHosUi1wT9+xH4M7NM57nOZaLDF\nnrEfN24cl156aav21dDQQHl5OTfeeCNdunTh/vvvz8pZ8kTSeV+JXNyjIpPfD9+u1uSDQv+9yjdZ\nvQ8AgHPulth1ZvYgwaxAIiJSpFJt8A/csxPjT94/qbKZaLDFnrFfuXJlq/c1e/ZszjzzzKb6TZky\nJe/Pkhcy367WiORKKlcA4qkFjk5HRaTw6IyBXxQPf+R7LP741lKefW9NStu0No8/Ew222Lz24cOH\nt3pfsfVbs2aNUkraKJPfj1yMach3+f57VWhyMQbguJhVHYFRwAdpqYmIiAD+5Skv/vxLLps6N6Vt\n0jVwNxMNtnTmtatBmV8KbUyDSGulch+AhTGrNhNcAfi5cy72OW/pPgDZo7xBvyge/mgpFrm+e6xz\njpMeTP/UnMl0bGLLfPWrX+Xdd9/NaGeoLd+NXNzoq9Dpt8oviodfsn4fAOecTmuIiGRBLvKUszE1\nZzL5/M2V8fXETS4GyYqItFUqKUCznHM7/eKb2Qzn3OD0VksKgc4Y+EXx8EdLschGWkmqDf4XRh/G\nLu3bdmY7mY5NLjo/+m74RfHwi+Lhl6yPAQD2i11hZgb0T0tNREQEyEyecqoN/tuG78vgvl3afNxo\nyXRslFMvIpJ5LXYAzOzRyJ8dov5utA/wfrorJYVBeYN+UTz80VIsEqWVJDtAOJNTc7ZWMh2bXAzS\n1HfDL4qHXxQPv2TzPgALmvnbAf8EprS5FiIikpTmcuSnzlnNA28vS2lf6ZqpJ1nJ5Msrp15EJPNS\nmQXoJOfcKxmuT8ZpFiAR8U0q035WVVUxZswYSst6cNhNz6R0nGw3+EVEJHsyNQvQK2Z2AsHc/+XO\nue+Y2WCgi3Pur62sq4hI0Uv2brdBWk9/Bt8xPan9qsEvIiLxJD2lg5n9EPgD8BEwNLL6C+DXGaiX\nFICamppcV0GiKB7+iI1FvJlvIGjwRz9aMu2ygTs8ktXQ0EAoFKKqqopQKEQ4HE7h1eQ/fTf8onj4\nRfHwS7rikcosQD8ChjnnPjWz6yPr5gEHpqUmIiJFqnHmm8NufRmA+9fD/Uk0+J+9cACddknlZzy+\nZK9AiIhIYUjlf47OwJLI340DB0qBbWmtkRQMzRrgF8UjPVLJ129OYyz+c1bfmhr/ifx8WAXfqtgj\n1Sq3KBdz7/tE3w2/KB5+UTz8kov7APwDuAG4NWrd1cDraamJiEgeaMvZ8t/+cwkvzP0s6WPts7vj\nj+ek3sFIlebeFxEpLqn8r/Ij4Ltm9inQ2czmA2cDP85ExST/KW/QL4pHejSXrx/Puys27ZDD39j4\n37Cgttltbh/kmH3TcGb8dBjP/WgEtbXNl02Xxrn3J0yYQHV1dVbm3veJvht+UTz8onj4JatjAMys\nHfAh0A34KtCPIB3o38654hotJiJFLdHZ8i3bGjj90XdT2t/sm4bvcBWhqqoq6+k4xTb3fmwaV7EN\nehYRSaoD4JxrMLMPga7OubeBtzNbLSkEyhv0i+KRHrF3qr0hZBBK/q670y4bSFXVJ4wZM6xpXXQj\nP1fpOOkY25DL/aciXhqX+EO/VX5RPPySizEATwAvmtk9wFL+MxAY3QdARIrF8IdmAwb0h/Utl483\nHWeiRn5sByNb6TiZngnIp5mGin3Qs4hIKh2A/478+8uY9Q7on5baSEGpqanRmQOPKB6tk8z8+9GS\nmZpz06ZNzTbyc5WOk+lGsU+N7tgOWF1dXU7qIfHpt8oviodf0hWPVO4ErGkhRKTgfb9qLp+u/zLp\n8nd+ez++2rtzSsfwMec+06lHifaf7fSg2KssmzZtytixRER8ZM65lksVkOnTpzuf/tMVkdz668fr\nuP1vi5IuP+qwnlz6tT0zWKPcCIfD1NbWZqwRnmj/oVDIm/QgEZF8FQqFGDZsmCVTtu23kBQRySPL\nN2xl9OQPki7fsbSEP198WAZr1HrpPHOe6asSifbvU3qQiEgxUAdAMkZ5g62TSqMulbLFGo/6hjDf\nnjQ7pW3iDdxNp3TFwqeBtW2R6xuRFet3w1eKh18UD79kfQyAiGRHKo26QmkApluqA3cz3eDPlEI5\nc56rmY9ERIqVOgCSMTpj0DqpNOpSKVvI8Ui1wf/K9yoxSypNMiPSFYtcnzlPl9j0oIaGBkKhUNYG\nBRfydyMfKR5+UTz8kov7AIhIFqTSqCuUBmCqMjE1Zz4q1DPnurIlIpJZhfc/onhDeYOtk0qjLpWy\n+RyP3/xjMdXz1yZd/u7vHMAhPXfPYI3aJl2x8HE60XTIdmpTPn83CpHi4RfFwy8aAyBSoFJp1GWr\nAZjtedrfXPQ5v3x1YdLlLz68N+cP7JWx+kh2FeuVLRGRbPHiPgBm1hV4Btgb+BQ42zm3060ZzWw4\ncDdQAjzonBsfWX8H8B1gK7AAuMQ5tyHesXQfAJHUZXqe9rWb6zn3qfeSLt+3bBceOuuQtB1f/JLp\nexKIiBSifLwPwA3Aa865O8zseuDGyLomZlYC3AcMA5YD75jZc865ecA04AbnXNjMbo9sf2NWX4FI\nAUt3SkZD2DHiodqUtsnXmXokdYWa2iQi4gtfTqmcBjwS+fsR4PQ4ZY4APnLOLXLO1QNPR7bDOfea\ncy4cKfcW0DfD9ZUk1NTU5LoKEqUt8WhMyQAoLS2lvLycqqoqQqEQ4XC4ha0DJ06c1fRIpvE/7bKB\nOzwKib4bflE8/KJ4+EXx8Eu64uHLFYBy59wqAOfcSjMrj1OmD7AkankpQacg1qUEnQMRSZPowcbl\n5eVcc801fPrppwnTgVKdqeel0QN49913m9I+wuFwVtM+sj3OQUREJFey1gEws1eBntGrAAf8LE7x\nVg1MMLObgHrn3JOt2V7SS7MG+KUt8YhOyaiqquLTTz8FdkwHurH6Y2Yu25j0PqdeMIAuu/7nJyjT\n4wxaks2pJ5OJhTok2aPfKr8oHn5RPPySd/cBcM6d0NxzZrbKzHo651aZWS9gdZxiy4B+Uct9I+sa\n9zEaOBk4LlE9pk6dysSJE+nXL9hVWVkZAwYMaHpDGy+taFnLWo6/XFdXR2lpKV0GHEP3rw3n/83Y\nwP3rg7P9GxYEqT1d9q3cafm+0w5k9fxQs/uPN85gy5YtWXt9LR2/oaGBRx55hJUrVzJ8+HAqKyt5\n8803M1af2bNnc9JJJ9HQ0NDUIcnm+6FlLWtZy1r2e3nOnDnU1QVz5ixevJjBgwczbNgwkuHLLEDj\ngXXOufGRQcBdnXOxg4DbAfMJBgGvAP4NnOucmxuZHeguYKhzLuFk4ZoFKHtqajR3sE/aGo9P1n7B\nFX+al3T5H3yjL6ce8pWky+f6CkBLx09n/ZKJRVVVFWPGjGlanjBhAiNHjmzV8SQx/Vb5RfHwi+Lh\nl0TxyMdZgMYDk83sUmARcDaAmfUGJjjnTnHONZjZDwhm/GmcBnRuZPvfAh2AV80M4C3n3JXZfhEi\nhWTztga+++i7SZc/6YBuXDd077jPJZPOkuu72rZ0/GzfnEpz4YuISKZ4cQUgm3QFQCQ+5xwnPZj8\n1Jydd2lH1YVfTapsrs/up0O2X4PmwhcRkVTk4xUAEcmBVGfqae10nNk+e54J2b5Cobnwk6cB0yIi\nqVEHQDJGeYN+qamp4Yk1PViw9oukt3n5e5WUWFInExIqhHSWdDbI9d1Ir7bO4KR4+EXx8Ivi4Zd0\nxUMdAJEC9tA7y3l69ioANiz4iC777p6wfNWFA+i8S/p/FnKd3y+FrRCuMImIZJPGAIgUkH8tquMX\nr36SdPk/fPdA9u3eMYM1Esm8QhhjIiLSVhoDIFIkltVt5ZIpHyRd/n+O7scJ+3fPYI2KW7K56MpZ\nTy9dYRIRSY06AJIxyhtMvy+3hzn14dlJlx9+QHd+PDS46V1NTQ1D1PjPqGRz0R955BFuvPFGnbFO\nk7aOz9BvlV8UD78oHn7RGACRIpDq1Jxlu7ZnygUDMlgjSSTZXPSVK1cqZ11ERHJGHQDJGJ0xaJ3z\nnnqPzzbXJ10+2ak5FY/MS3a2o+HDh3PPPffk9axIhUTfDb8oHn5RPPySrnioAyCSY3e9sYhXPlyX\ndPnqSytpV9L2qTkl/ZLNRfctZ11jEkREios6AJI2sY2ITZs2MXTo0FxXyzsvzfuMu2uWJF3+mfMP\npetupW0+rvI4U5dqwzjZXPQ333yTIUOGeJP209Z59POdvht+UTz8onj4RWMAxDuxjYhx48apAwB8\nsGozP3rhw6TL33/GQVR02y2DNZJkFUvDWPPoi4gUF3UAJG1iGxFlZWU5rlFurN1Sz7lPvpd0+Z8d\ntw9D+3fNYI0CmTqDU8jpI5lqGPt2Nq0Q7tTcFr7Fo9gpHn5RPPyiMQDinWJtRGxrCHPKpOSn5jxr\nQDljjuyTwRplVyGfJS+Wz7RvYxJERCSz1AGQtIltRGzatCnXVcqYc598j7VbkpupZ/8eu/G70w/K\ncI1alqk8zkJOH8lUw9i3nNq2zqOf73yLR7FTPPyiePhFYwDEO7GNiJqamjbv05f0klv/upC/f/J5\n0uWTnZqzELTmLLkvcW1JsTeMRUSkMJlzLtd1yKrp06c7/WeeP0KhUE7SS6bOWc0Dby9LunwxT80Z\nDoepra1NqTGfq7iKiIgUqlAoxLBhw5JqjOgKgHgtW+kl7yzZwE2vLEi6/LMXDqDTLvr6QOvOkhdy\n2pCIiIjv/LvmLgUjHSlAjeklQFoHYS6t+5ITJ85qerTU+H/wzIOZdtnApkc+Nv7TEY90yVRc84VP\nsRDFwzeKh18UD7+kKx7514qRopKuQZibtm7njMfmJF3+1yf154i9inMa02zQrDMiIiK5ozEAUpAa\nwo4RD9UmXf77R/bhzAHlGayRiIiISOZoDIAUpUsmf8CyDVuTKnt0/z246bjiSjsRERERAY0BkAzK\ndN7g/72xeIc8/kSN/24d2++Qw1+MjX/lcfpDsfCL4uEXxcMviodfNAZAis7zH6zhvjeXJl3+pUsr\naV+kU3OKiIiINEdjAMRbC9Zu4b//ND/p8lMuGEDZrurTioiISPHRGADJinTfzXXtlnrOffK9pMvf\nf8ZBVHTbrdXHExERESlG6gBIq82ePTvh3VxramoYMmRIs9t/uT3MWY/PYev2cFLH++UJFXxj7z3a\nXO9i1VI8JHsUC78oHn5RPPyiePglXfFQB0BaLdW7uYad48cvfMQHqzcntf8bj92bY/ftlpa6ioiI\niEhAYwCk1UKhUMIrAAD3vbmE5z/4LKn9XTCwFxcd3jsTVRUREREpaBoDIFkR726uL3ywht8mOVPP\nkH3K+PmwCsw0U4+IiIhItug+ANJqJSUl9Nn/UO5f358bQsbwh2bv0PjfsGDHO/H27tyBly6tbJqL\n/+bj+6vxn0Way9kfioVfFA+/KB5+UTz8ovsASE5s3LqdKe+u5unZq5IqX3XhADrvoo+ZiIiIiC80\nBkAS2ro9zAtzP+PhGcvZ1tDyZ+Wxc/6Lnp07ZKFmfkj3VKgiIiIiraExANJqDWHH9I/X8fCMFXy2\npT5h2dMO6cGoyl5071iapdr5p6WpUEVERER8o1OVRc45x9uL67ji2XmcOHEWIx6q5c43Fsdt/B/T\nfw8ePPPgphz+q76xV8LGfzHkDcabCtVXxRCPfKFY+EXx8Ivi4RfFwy8aAyCtNnf1ZibNWE7t8k0J\nyw3q05mLD+/NweW7Z6lm+aeiooLS0tKmKwAVFRW5rpKIiIhIQhoDUAQWf/4lj81cwd8Xfp6w3H7d\nd2P04N58rW8Xzc6TpHA4TG1trcYAiIiISE5pDECR+2zzNp6sXcWLcxPfgKu8UymjD9+TY/ftSrsS\nNfhbo6SkhEGDBinvX0RERPKGF6cqzayrmU0zs/lm9oqZlTVTbriZzTOzD83s+jjPX2dmYTPrlvla\n+2PT1u08MnMFJ06cxYkTZ3HeU+/Hbfzv0r6EK47qw4ujD2PaZQN5fNShHL9/t4w1/pU36BfFwx+K\nhV8UD78oHn5RPPxSaGMAbgBec87dEWnY3xhZ18TMSoD7gGHAcuAdM3vOOTcv8nxf4ARgUVZrngPb\ntof5y7zPmDRjBV9uDycse15lT84cUE4nzcUvIiIiIngyBsDM5gFHO+dWmVkv4G/OuYNiyhwF/MI5\nNyKyfAPgnHPjI8tTgF8BzwOHO+fWxTtWPo4BaAg7/vbJeh6esYJVm7YlLHvKQT04b2BPeuxePHPx\ni4iIiBS7fBwDUO6cWwXgnFtpZuVxyvQBlkQtLwWOADCzU4Elzrk5hTB41TnHjKUbmTRjOR+v/SJh\n2aEVe3DhoF7s3XW3LNVORERERPJZ1joAZvYq0DN6FeCAn8UpnvRlCTPbDRhLkP4Tve+4pk6dysSJ\nE+nXrx8AZWVlDBgwgCFDhgD/ya3K9vJXDhzIwzNW8Pob/wCgy76VAGxYULvDcvnn8xl+YHcu+M4J\nTdsveX8Ze+e4/vGWo/PUfKhPsS8rHv4sN67zpT7Fvty4zpf6FPty4zpf6lPsy43rfKlPsS83rqup\nqWHOnDnU1dUBsHjxYgYPHsywYcNIhi8pQHOBY6JSgF53zh0cU+Yo4JfOueGR5RsIOgp/AV4DthA0\n/PsCy4AjnHOrY4/lSwrQ0roveSy0ktcXrE9Yrn+3XRk9eE+O3Cv/puasqalp+uBK7ike/lAs/KJ4\n+EXx8Ivi4ZdE8UglBciXDsB4YJ1zbnxkEHBX51zsIOB2wHyCQcArgH8D5zrn5saUWwgMcs7FbVnn\nqgOwbks9T9Wu4rkP1iQs16NjKaMH92bYfpmbnUdERERECks+jgEYD0w2s0sJZvE5G8DMegMTnHOn\nOOcazOwHwDSC6UsfjG38RzgSpABly+ZtDTz73moeC61MWK60nXHJ4b35ziFfYZf2XszKKiIiIiIF\nzIsOQGTGnuPjrF8BnBK1/DJwYAv76p/2CiZhW0OYl+evZdKMFWze1pCw7KjDgqk5u+zqxdufMbps\n6BfFwx+KhV8UD78oHn5RPPySrngUdgs0g8LO8fdPPufhGctZsTHx1JwjDuzO+QN7Ud5JU3OKiIiI\nSEFSw68AAAuuSURBVG55MQYgm1o7BsA5x6zlG5k0YwXz12xJWPabe5dx0eG9qeimqTlFREREJPPy\ncQyAlz78bAuPzFjBO0s3JCw3oFcnRg/uzYBenbJUMxERERGR1lEHIMryDVt5PLSC1z5OPDXn3l13\nZfThvfnG3mV5NzVnNilv0C+Khz8UC78oHn5RPPyiePhFYwDSYP0X9Tw9exV/ei/x1Jxdd2vP6MF7\ncsL+3WivqTlFREREJI8V5RiAG0KJG/HtDC4ZvCffOaQHu5W2y1LNRERERERaR2MAWuGsAeWcfVhP\nygp8ak4RERERKW5Fe+epkw7oxqPnHMK0ywYy7bKBjDmyjxr/aVZTU5PrKkgUxcMfioVfFA+/KB5+\nUTz8kq54FGWLd9plA3NdBRERERGRnCjKMQCtuQ+AiIiIiIivUhkDULQpQCIiIiIixUgdAMkY5Q36\nRfHwh2LhF8XDL4qHXxQPv6QrHuoAiIiIiIgUEY0BEBERERHJcxoDICIiIiIicakDIBmjvEG/KB7+\nUCz8onj4RfHwi+LhF40BEBERERGRlGkMgIiIiIhIntMYABERERERiUsdAMkY5Q36RfHwh2LhF8XD\nL4qHXxQPv2gMgHhvzpw5ua6CRFE8/KFY+EXx8Ivi4RfFwy/pioc6AJIxdXV1ua6CRFE8/KFY+EXx\n8Ivi4RfFwy/pikdRdgBCoRDhcDjX1RARERERybqi7ACMGDGC2traXFej4C1evDjXVZAoioc/FAu/\nKB5+UTz8onj4JV3xKMppQHNdh2JRW1tLZWVlrqshEYqHPxQLvygeflE8/KJ4+KWleCQ7DWjRdQBE\nRERERIpZUaYAiYiIiIgUK3UARERERESKiDoA0iZm1tXMppnZfDN7xczKmik33MzmmdmHZnZ9zHM/\nNLO5ZjbHzG7PTs0LTzpiEXn+OjMLm1m3zNe6cLU1HmZ2R+R7UWtmVWbWJXu1Lxwtfd4jZe41s48i\n73VlKttKalobDzPra2Z/NbP3I/9XXJ3dmheetnw3Is+VmFnIzJ7PTo0LWxt/q8rMbErk/4z3zezI\nFg/onNNDj1Y/gPHATyN/Xw/cHqdMCfAxsDdQCtQCB0WeOwaYBrSPLPfI9WvK10dbYxF5vi/wMrAQ\n6Jbr15TPjzR8N44HSiJ/3w6My/VryrdHS5/3SJkRwF8ifx8JvJXstnpkNR69gMrI352A+YpHbmIR\n9fy1wOPA87l+Pfn+aGs8gIeBSyJ/twe6tHRMXQGQtjoNeCTy9yPA6XHKHAF85Jxb5JyrB56ObAfw\n3wQNo+0AzrnPMlzfQtbWWAD8BvifjNayeLQpHs6515xzjTcseYugcyapaenzTmT5UQDn3NtAmZn1\nTHJbSU2r4+GcW+mcq42s3wTMBfpkr+oFpy3fDcysL3AyMDF7VS5orY5H5Orwt5xzkyLPbXfObWjp\ngOoASFuVO+dWATjnVgLlccr0AZZELS/lPz/cBwBDzewtM3vdzAZntLaFrU2xMLNTgSXOOd33PT3a\n+t2IdilQnfYaFr5k3t/myiQbG0lea+KxLLaMme0DVAJvp72GxaOtsWg8WaSpJNOjLfGoAD4zs0mR\nlKwHzGy3lg7Yvo0VliJgZq8CPaNXEXzpfxaneKo/Bu2Brs65o8zsa8BkoH+rKloEMhWLyI/FWOCE\nmH1LAhn+bjQe4yag3jn3ZGu2l5Tpc+8xM+sETAWuiVwJkCwzs28Dq5xztWZ2DPrO5Fp7YBBwlXNu\nhpndDdwA/KKljUQScs6d0NxzZrYqcnl2lZn1AlbHKbYM6Be13DeyDoJe7rOR47wTGXza3Tm3Nk3V\nLygZjMW+wD7AbDOzyPqZZnaEcy7efoSMfzcws9EEl9mPS0+Ni07C9zeqzF5xynRIYltJTVvigZm1\nJ2j8P+acey6D9SwGbYnFmcCpZnYysBvQ2cwedc5dlMH6Fro2fTcIrt7PiPw9lWDcWUJKAZK2eh4Y\nHfn7YiDej/I7wH5mtreZdQBGRbYD+DORxo2ZHQCUqvHfaq2OhXPuPedcL+dcf+dcBUHHbKAa/23S\npu+GmQ0nuMR+qnNua+arW5AS/fY0eh64CMDMjgI+j6RuJbOtpKYt8QB4CPjAOXdPtipcwFodC+fc\nWOdcP+dc/8h2f1Xjv83aEo9VwJJIGwpgGPBBSwfUFQBpq/HAZDO7FFgEnA1gZr2BCc65U5xzDWb2\nA4LZfkqAB51zcyPbPwQ8ZGZzgK1EPtzSKm2NRTSHLuu2VVvj8VuCs9CvBhdleMs5d2W2X0Q+a+79\nNbPLg6fdA865l8zsZDP7GNgMXJJo2xy9lILQyniMBjCzbwLnA3PMbBbBb9RY59zLOXkxea4t3w1J\nvzTE42rgCTMrBT4hiVhZZMogEREREREpAkoBEhEREREpIuoAiIiIiIgUEXUARERERESKiDoAIiIi\nIiJFRB0AEREREZEiog6AiIiIiEgRUQdARESamNnFZvaPqOWNZrZPFo+/l5ltiNyROtPHCptZ/0wf\nR0TEN+oAiIjkKTNbaGbHZWDXTTeIcc51ds59moFjxD+wc0ucc11cdm5SoxvhiEhRUgdARKRAmVm7\nXNfBc7rbtYgUJXUARETykJk9CvQDXoikzPzEzPaOpLVcamaLgOmRspPNbIWZrTezv5nZIVH76WZm\nz5tZnZm9Bewbc5ymNBkzm2Rm95nZi5Fj/svMKqLKnmhm8yLH+V3kWJc2U/+vmdk7keOuMLM7I+sb\nX0NJZHkfM/t7pNy0yPEfiyl7kZktMrPVZjY25hhvRuqzzMx+a2bt0xMBEZH8pQ6AiEgecs5dBCwG\nTomkzNwZ9fRQ4CDgpMjySwQN+3IgBDwRVfb3wBagJ/A9ILbBHpsmcw7wC2APYAFwK4CZdQemANcD\n3YH5wNcTvIR7gLudc2WRuk1u5phPAm9F9nkLcGGcOn0T2B84HrjZzA6MrG8AfgR0i9TlOODKBHUS\nESkK6gCIiOS32DQWB/zCOfeFc24rgHPuYefcFudcPfAr4DAz6xw5y34G8HPn3JfOufeBR1rY/5+c\nczOdc2GCjkRlZP3JwHvOueecc2Hn3L3AqgT13gbsZ2bdI3X7904vzKwfMDjyerY75/4JPP//27t/\nV6/qOI7jz1ciJiWFKGSURBI1CC4utghNgqRTBPcODi4JtkhbBOqi2OAoNjQ0OYgI4h/QEhQSKJUN\nifgjFFIzB9GI3g7nc+N4+N6r3nsJruf5gC+c7/l+vu/z/mznfT4/zoT+7q+qv6vqAnAe2NT6/WNV\n/VCdq8BXwNY5cpKkUbAAkKTnz/WZgyQvJDmc5Lckd4HLdDfNa4C1wLJ+e+DKE2Lf7B3fB15ux68D\n12bLY4LdwLvAr0m+T7J9Qpt1wJ2qetA7N7wGPF5o/JdTkneSnGlTjO7SjVasmSMnSRoFCwBJWrpm\n28Wmf34K+BD4oKpeBd6ie6of4A/gH+DNXvv188zlxiAOwBuzNa6qS1U1VVVrgSPAySQrJ8RcneTF\n3rnhNeZyDLgIbGh9/xwX/kqSBYAkLWE3geE+9sMb3FXAQ+DPJC8Bh2gFQpvGcwrYn2RlWxy8a565\nnAU2JtmRZFmSvXTrCiZKMp1k5mn8Xy2nf/t9aNN2zrX8lifZQlfMPBZqjpxWAfeq6n6S94A9z9wr\nSXoOWQBI0tJ1GPgiyZ0k+9q54ajAN3SLhX8HfgK+G/z+Kd2N8g3g6/bpe6q98qvqNvAR8CVwi24R\n8jm64mOSbcDPSe4BR4GPZ9YsDK45DbzfYh4ETgxiDvPrf/8MmG7XON7+O1tbSRqN/D/vWpEkjUl7\nk+91YKqqvl3EuCeAi1V1YLFiStLYOAIgSVoU7T0AryRZQTffHrotPBcSc3OSt9PZBuwATi80V0ka\nM1+IIklaLFvo9u1fDvwC7OxN65mv1+jWKaymG1H4pKrOLzCmJI2aU4AkSZKkEXEKkCRJkjQiFgCS\nJEnSiFgASJIkSSNiASBJkiSNiAWAJEmSNCIWAJIkSdKIPALoCK4Zs7RFAgAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2de1ce748>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Code to create artificial data\n", "N = 100\n", "X = 0.025*np.random.randn(N)\n", "Y = 0.5*X + 0.01*np.random.randn(N) \n", "\n", "ls_coef_ = np.cov(X, Y)[0,1]/np.var(X)\n", "ls_intercept = Y.mean() - ls_coef_*X.mean()\n", "\n", "plt.scatter(X, Y, c=\"k\")\n", "plt.xlabel(\"trading signal\")\n", "plt.ylabel(\"returns\")\n", "plt.title(\"Empirical returns vs trading signal\")\n", "plt.plot(X, ls_coef_*X + ls_intercept, label = \"Least-squares line\")\n", "plt.xlim(X.min(), X.max())\n", "plt.ylim(Y.min(), Y.max())\n", "plt.legend(loc=\"upper left\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perform a simple Bayesian linear regression on this dataset. We look for a model like:\n", "\n", "$$ R = \\alpha + \\beta x + \\epsilon$$\n", "\n", "where $\\alpha, \\beta$ are our unknown parameters and $\\epsilon \\sim \\text{Normal}(0, \\sigma)$. The most common priors on $\\beta$ and $\\alpha$ are Normal priors. We will also assign a prior on $\\sigma$, so that $\\sigma$ is uniform over 0 to 100." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Applied interval-transform to std and added transformed std_interval_ to model.\n", " [-------100%-------] 100000 of 100000 in 26.5 sec. | SPS: 3769.6 | ETA: 0.0" ] } ], "source": [ "import pymc3 as pm\n", "\n", "with pm.Model() as model:\n", " std = pm.Uniform(\"std\", 0, 100)\n", " \n", " beta = pm.Normal(\"beta\", mu=0, sd=100)\n", " alpha = pm.Normal(\"alpha\", mu=0, sd=100)\n", " \n", " mean = pm.Deterministic(\"mean\", alpha + beta*X)\n", " \n", " obs = pm.Normal(\"obs\", mu=mean, sd=std, observed=Y)\n", " \n", " trace = pm.sample(100000, step=pm.Metropolis())\n", " burned_trace = trace[20000:] " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1kAAAGpCAYAAAB/DPwDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIV+gn6gNxywLdglwAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2f259d898>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAFhCAYAAABtdQvkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLKWUUkoppZSKEO1gKaWUUkoppVSE/D9JVutB3SJlTAAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2f259d4e0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plots.traceplot(trace=burned_trace, varnames=[\"std\", \"beta\", \"alpha\"])\n", "pm.plot_posterior(trace=burned_trace, varnames=[\"std\", \"beta\", \"alpha\"], kde_plot=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It appears the MCMC has converged so we may continue.\n", "\n", "For a specific trading signal, call it $x$, the distribution of possible returns has the form:\n", "\n", "$$R_i(x) = \\alpha_i + \\beta_ix + \\epsilon $$\n", "\n", "where $\\epsilon \\sim \\text{Normal}(0, \\sigma_i)$ and $i$ indexes our posterior samples. We wish to find the solution to \n", "\n", "$$ \\arg \\min_{r} \\;\\;E_{R(x)}\\left[ \\; L(R(x), r) \\; \\right] $$\n", "\n", "according to the loss given above. This $r$ is our Bayes action for trading signal $x$. Below we plot the Bayes action over different trading signals. What do you notice?\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwAAAAGNCAYAAACmMBahAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2f2ce0668>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 6)\n", "from scipy.optimize import fmin\n", "\n", "\n", "def stock_loss(price, pred, coef = 500):\n", " \"\"\"vectorized for numpy\"\"\"\n", " sol = np.zeros_like(price)\n", " ix = price*pred < 0 \n", " sol[ix] = coef*pred**2 - np.sign(price[ix])*pred + abs(price[ix])\n", " sol[~ix] = abs(price[~ix] - pred)\n", " return sol\n", "\n", "std_samples = burned_trace[\"std\"]\n", "alpha_samples = burned_trace[\"alpha\"]\n", "beta_samples = burned_trace[\"beta\"]\n", "\n", "N = std_samples.shape[0]\n", "\n", "noise = std_samples*np.random.randn(N) \n", "\n", "possible_outcomes = lambda signal: alpha_samples + beta_samples*signal + noise\n", "\n", "\n", "opt_predictions = np.zeros(50)\n", "trading_signals = np.linspace(X.min(), X.max(), 50)\n", "for i, _signal in enumerate(trading_signals):\n", " _possible_outcomes = possible_outcomes(_signal)\n", " tomin = lambda pred: stock_loss(_possible_outcomes, pred).mean()\n", " opt_predictions[i] = fmin(tomin, 0, disp = False)\n", " \n", " \n", "plt.xlabel(\"trading signal\")\n", "plt.ylabel(\"prediction\")\n", "plt.title(\"Least-squares prediction vs. Bayes action prediction\")\n", "plt.plot(X, ls_coef_*X + ls_intercept, label =\"Least-squares prediction\")\n", "plt.xlim(X.min(), X.max())\n", "plt.plot(trading_signals, opt_predictions, label =\"Bayes action prediction\")\n", "plt.legend(loc=\"upper left\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is interesting about the above graph is that when the signal is near 0, and many of the possible returns outcomes are possibly both positive and negative, our best (with respect to our loss) prediction is to predict close to 0, hence *take on no position*. Only when we are very confident do we enter into a position. I call this style of model a *sparse prediction*, where we feel uncomfortable with our uncertainty so choose not to act. (Compare with the least-squares prediction which will rarely, if ever, predict zero). \n", "\n", "A good sanity check that our model is still reasonable: as the signal becomes more and more extreme, and we feel more and more confident about the positive/negativeness of returns, our position converges with that of the least-squares line. \n", "\n", "The sparse-prediction model is not trying to *fit* the data the best (according to a *squared-error loss* definition of *fit*). That honor would go to the least-squares model. The sparse-prediction model is trying to find the best prediction *with respect to our `stock_loss`-defined loss*. We can turn this reasoning around: the least-squares model is not trying to *predict* the best (according to a *`stock-loss`* definition of *predict*). That honor would go the *sparse prediction* model. The least-squares model is trying to find the best fit of the data *with respect to the squared-error loss*.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Kaggle contest on *Observing Dark World*\n", "\n", "\n", "A personal motivation for learning Bayesian methods was trying to piece together the winning solution to Kaggle's [*Observing Dark Worlds*](http://www.kaggle.com/c/DarkWorlds) contest. From the contest's website:\n", "\n", "\n", "\n", ">There is more to the Universe than meets the eye. Out in the cosmos exists a form of matter that outnumbers the stuff we can see by almost 7 to 1, and we don’t know what it is. What we do know is that it does not emit or absorb light, so we call it Dark Matter. Such a vast amount of aggregated matter does not go unnoticed. In fact we observe that this stuff aggregates and forms massive structures called Dark Matter Halos. Although dark, it warps and bends spacetime such that any light from a background galaxy which passes close to the Dark Matter will have its path altered and changed. This bending causes the galaxy to appear as an ellipse in the sky.\n", "\n", "<img src=\"http://timsalimans.com/wp-content/uploads/2012/12/dm.jpg\" width = 730>\n", "\n", "\n", "The contest required predictions about where dark matter was likely to be. The winner, [Tim Salimans](http://timsalimans.com/), used Bayesian inference to find the best locations for the halos (interestingly, the second-place winner also used Bayesian inference). With Tim's permission, we provided his solution [1] here:\n", "\n", "1. Construct a prior distribution for the halo positions $p(x)$, i.e. formulate our expectations about the halo positions before looking at the data.\n", "2. Construct a probabilistic model for the data (observed ellipticities of the galaxies) given the positions of the dark matter halos: $p(e | x)$.\n", "3. Use Bayes’ rule to get the posterior distribution of the halo positions, i.e. use to the data to guess where the dark matter halos might be.\n", "4. Minimize the expected loss with respect to the posterior distribution over the predictions for the halo positions: $\\hat{x} = \\arg \\min_{\\text{prediction} } E_{p(x|e)}[ L( \\text{prediction}, x) ]$ , i.e. tune our predictions to be as good as possible for the given error metric.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The loss function in this problem is very complicated. For the very determined, the loss function is contained in the file DarkWorldsMetric.py in the parent folder. Though I suggest not reading it all, suffice to say the loss function is about 160 lines of code — not something that can be written down in a single mathematical line. The loss function attempts to measure the accuracy of prediction, in a Euclidean distance sense, such that no shift-bias is present. More details can be found on the metric's [main page](http://www.kaggle.com/c/DarkWorlds/details/evaluation). \n", "\n", "We will attempt to implement Tim's winning solution using PyMC3 and our knowledge of loss functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Data\n", "\n", "The dataset is actually 300 separate files, each representing a sky. In each file, or sky, are between 300 and 720 galaxies. Each galaxy has an $x$ and $y$ position associated with it, ranging from 0 to 4200, and measures of ellipticity: $e_1$ and $e_2$. Information about what these measures mean can be found [here](https://www.kaggle.com/c/DarkWorlds/details/an-introduction-to-ellipticity), but for our purposes it does not matter besides for visualization purposes. Thus a typical sky might look like the following:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data on galaxies in sky 3.\n", "position_x, position_y, e_1, e_2 \n", "[[ 1.62690000e+02 1.60006000e+03 1.14664000e-01 -1.90326000e-01]\n", " [ 2.27228000e+03 5.40040000e+02 6.23555000e-01 2.14979000e-01]\n", " [ 3.55364000e+03 2.69771000e+03 2.83527000e-01 -3.01870000e-01]]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAJsCAYAAACmvDRhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nG/p/E7tRMjE5KxQAAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2df161940>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from draw_sky2 import draw_sky\n", "\n", "n_sky = 3 #choose a file/sky to examine.\n", "data = np.genfromtxt(\"data/Train_Skies/Train_Skies/\\\n", "Training_Sky%d.csv\" % (n_sky),\n", " dtype = None,\n", " skip_header = 1,\n", " delimiter = \",\",\n", " usecols = [1,2,3,4])\n", "print(\"Data on galaxies in sky %d.\"%n_sky)\n", "print(\"position_x, position_y, e_1, e_2 \")\n", "print(data[:3])\n", "\n", "fig = draw_sky(data)\n", "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", "plt.xlabel(\"x-position\")\n", "plt.ylabel(\"y-position\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Priors\n", "\n", "Each sky has one, two or three dark matter halos in it. Tim's solution details that his prior distribution of halo positions was uniform, i.e.\n", "\n", "\\begin{align}\n", "& x_i \\sim \\text{Uniform}( 0, 4200)\\\\\\\\\n", "& y_i \\sim \\text{Uniform}( 0, 4200), \\;\\; i=1,2,3\\\\\\\\\n", "\\end{align}\n", "\n", "Tim and other competitors noted that most skies had one large halo and other halos, if present, were much smaller. Larger halos, having more mass, will influence the surrounding galaxies more. He decided that the large halos would have a mass distributed as a *log*-uniform random variable between 40 and 180 i.e.\n", "\n", "$$ m_{\\text{large} } = \\log \\text{Uniform}( 40, 180 ) $$\n", "\n", "and in PyMC3, \n", "\n", " exp_mass_large = pm.Uniform(\"exp_mass_large\", 40, 180)\n", " mass_large = pm.Deterministic(\"mass_large\", np.log(exp_max_large))\n", "\n", "(This is what we mean when we say *log*-uniform.) For smaller galaxies, Tim set the mass to be the logarithm of 20. Why did Tim not create a prior for the smaller mass, nor treat it as a unknown? I believe this decision was made to speed up convergence of the algorithm. This is not too restrictive, as by construction the smaller halos have less influence on the galaxies.\n", "\n", "Tim logically assumed that the ellipticity of each galaxy is dependent on the position of the halos, the distance between the galaxy and halo, and the mass of the halos. Thus the vector of ellipticity of each galaxy, $\\mathbf{e}_i$, are *children* variables of the vector of halo positions $(\\mathbf{x},\\mathbf{y})$, distance (which we will formalize), and halo masses.\n", "\n", "Tim conceived a relationship to connect positions and ellipticity by reading literature and forum posts. He supposed the following was a reasonable relationship:\n", "\n", "$$ e_i | ( \\mathbf{x}, \\mathbf{y} ) \\sim \\text{Normal}( \\sum_{j = \\text{halo positions} }d_{i,j} m_j f( r_{i,j} ), \\sigma^2 ) $$\n", "\n", "where $d_{i,j}$ is the *tangential direction* (the direction in which halo $j$ bends the light of galaxy $i$), $m_j$ is the mass of halo $j$, $f(r_{i,j})$ is a *decreasing function* of the Euclidean distance between halo $j$ and galaxy $i$. \n", "\n", "Tim's function $f$ was defined:\n", "\n", "$$ f( r_{i,j} ) = \\frac{1}{\\min( r_{i,j}, 240 ) } $$\n", "\n", "for large halos, and for small halos\n", "\n", "$$ f( r_{i,j} ) = \\frac{1}{\\min( r_{i,j}, 70 ) } $$\n", "\n", "This fully bridges our observations and unknown. This model is incredibly simple, and Tim mentions this simplicity was purposefully designed: it prevents the model from overfitting. \n", "\n", "\n", "### Training & PyMC3 implementation\n", "\n", "For each sky, we run our Bayesian model to find the posteriors for the halo positions — we ignore the (known) halo position. This is slightly different than perhaps traditional approaches to Kaggle competitions, where this model uses no data from other skies nor the known halo location. That does not mean other data are not necessary — in fact, the model was created by comparing different skies. \n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Applied interval-transform to mass_large and added transformed mass_large_interval_ to model.\n", "Applied interval-transform to halo_position and added transformed halo_position_interval_ to model.\n" ] } ], "source": [ "import pymc3 as pm\n", "import theano.tensor as T\n", "\n", "def euclidean_distance(x, y):\n", " return np.sqrt(((x - y)**2)).sum(axis=1)\n", "\n", "def f_distance(gxy_pos, halo_pos, c):\n", " # foo_position should be a 2-d numpy array\n", " # T.maximum() provides our element-wise maximum as in NumPy, but instead for theano tensors\n", " return T.maximum(euclidean_distance(gxy_pos, halo_pos), c)[:, None]\n", "\n", "def tangential_distance(glxy_position, halo_position):\n", " # foo_position should be a 2-d numpy array\n", " delta = glxy_position - halo_position\n", " t = (2*T.arctan(delta[:,1]/delta[:,0]))\n", " return T.stack([-T.cos(t), -T.sin(t)], axis=1)\n", "\n", "\n", "with pm.Model() as model:\n", " #set the size of the halo's mass\n", " mass_large = pm.Uniform(\"mass_large\", 40, 180)\n", " \n", " #set the initial prior position of the halos, it's a 2-d Uniform dist.\n", " halo_position = pm.Uniform(\"halo_position\", 0, 4200, shape=(1,2))\n", " \n", " mean = pm.Deterministic(\"mean\", mass_large /\\\n", " f_distance(T.as_tensor(data[:,:2]), halo_position, 240)*\\\n", " tangential_distance(T.as_tensor(data[:,:2]), halo_position))\n", " \n", " ellpty = pm.Normal(\"ellipcity\", mu=mean, tau=1./0.05, observed=data[:,2:])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 [0%]: ELBO = 58.1\n", "Iteration 5000 [10%]: Average ELBO = 51.72\n", "Iteration 10000 [20%]: Average ELBO = 69.89\n", "Iteration 15000 [30%]: Average ELBO = 82.23\n", "Iteration 20000 [40%]: Average ELBO = 102.96\n", "Iteration 25000 [50%]: Average ELBO = 130.65\n", "Iteration 30000 [60%]: Average ELBO = 145.73\n", "Iteration 35000 [70%]: Average ELBO = 149.08\n", "Iteration 40000 [80%]: Average ELBO = 149.4\n", "Iteration 45000 [90%]: Average ELBO = 149.36\n", "Finished [100%]: Average ELBO = 149.36\n", " [-------100%-------] 5000 of 5000 in 32.4 sec. | SPS: 154.4 | ETA: 0.0" ] } ], "source": [ "with model:\n", " mu, sds, elbo = pm.variational.advi(n=50000)\n", " step = pm.NUTS(scaling=model.dict_to_array(sds), is_cov=True)\n", " trace = pm.sample(5000, step=step, start=mu)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use ADVI here to find a good starting point and scaling for our NUTS sampler. NUTS is a \"smarter\" MCMC sampling method than Metropolis, so as a result we need fewer total samples for our chains to converge. ADVI follows a completely different methodology to fit a model that we will not get into here. We may cover ADVI, as well as NUTS, in-depth in a later chapter.\n", "\n", "Below we plot a \"heatmap\" of the posterior distribution. (Which is just a scatter plot of the posterior, but we can visualize it as a heatmap.)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAJsCAYAAACiSeRcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2a9d72358>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = trace[\"halo_position\"].reshape(5000,2)\n", "\n", "fig = draw_sky(data)\n", "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", "plt.xlabel(\"x-position\")\n", "plt.ylabel(\"y-position\")\n", "plt.scatter(t[:,0], t[:,1], alpha = 0.015, c = \"r\")\n", "plt.xlim(0, 4200)\n", "plt.ylim(0, 4200);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The most probable position reveals itself like a lethal wound.\n", "\n", "Associated with each sky is another data point, located in `./data/Training_halos.csv` that holds the locations of up to three dark matter halos contained in the sky. For example, the night sky we trained on has halo locations:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.00000000e+00 1.40861000e+03 1.68586000e+03 1.40861000e+03\n", " 1.68586000e+03 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00]\n" ] } ], "source": [ "halo_data = np.genfromtxt(\"data/Training_halos.csv\", \n", " delimiter = \",\",\n", " usecols = [1, 2,3, 4,5,6,7,8,9],\n", " skip_header = 1)\n", "print(halo_data[n_sky])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The third and fourth column represent the true $x$ and $y$ position of the halo. It appears that the Bayesian method has located the halo within a tight vicinity. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True halo location: 1408.61 1685.86\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAJsCAYAAACiSeRcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQqFjlLGmUCgUCoVCoWP+H8ldhAKNb7puAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2a686e748>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = draw_sky(data)\n", "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", "plt.xlabel(\"x-position\")\n", "plt.ylabel(\"y-position\")\n", "plt.scatter(t[:,0], t[:,1], alpha = 0.015, c = \"r\")\n", "plt.scatter(halo_data[n_sky-1][3], halo_data[n_sky-1][4], \n", " label = \"True halo position\",\n", " c = \"k\", s = 70)\n", "plt.legend(scatterpoints = 1, loc = \"lower left\")\n", "plt.xlim(0, 4200)\n", "plt.ylim(0, 4200);\n", "\n", "print(\"True halo location:\", halo_data[n_sky][3], halo_data[n_sky][4])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perfect. Our next step is to use the loss function to optimize our location. A naive strategy would be to simply choose the mean:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2312.96009501 1127.87170923]]\n" ] } ], "source": [ "mean_posterior = t.mean(axis=0).reshape(1,2)\n", "print(mean_posterior)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using the mean:\n", "Your average distance in pixels you are away from the true halo is 46.0082084242\n", "Your average angular vector is 1.0\n", "Your score for the training data is 1.04600820842\n", "Using a random location: [[ 288 3167]]\n", "Your average distance in pixels you are away from the true halo is 2908.49191694\n", "Your average angular vector is 1.0\n", "Your score for the training data is 3.90849191694\n" ] }, { "data": { "text/plain": [ "3.9084919169390866" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from DarkWorldsMetric import main_score\n", "\n", "_halo_data = halo_data[n_sky-1]\n", "\n", "nhalo_all = _halo_data[0].reshape(1,1)\n", "x_true_all = _halo_data[3].reshape(1,1)\n", "y_true_all = _halo_data[4].reshape(1,1)\n", "x_ref_all = _halo_data[1].reshape(1,1)\n", "y_ref_all = _halo_data[2].reshape(1,1)\n", "sky_prediction = mean_posterior\n", "\n", "print(\"Using the mean:\")\n", "main_score(nhalo_all, x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, sky_prediction)\n", "\n", "#what's a bad score?\n", "random_guess = np.random.randint(0, 4200, size=(1,2))\n", "print(\"Using a random location:\", random_guess)\n", "main_score(nhalo_all, x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, random_guess)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a good guess, it is not very far from the true location, but it ignores the loss function that was provided to us. We also need to extend our code to allow for up to two additional, *smaller* halos: Let's create a function for automatizing our PyMC3. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "def halo_posteriors(n_halos_in_sky, galaxy_data,samples = 5e5, burn_in = 500):\n", " #set the size of the halo's mass\n", " with pm.Model() as model:\n", " mass_large = pm.Uniform(\"mass_large\", 40, 180)\n", " \n", " mass_small_1 = 20\n", " mass_small_2 = 20\n", " \n", " masses = np.array([mass_large,mass_small_1, mass_small_2], dtype=object)\n", " \n", " #set the initial prior positions of the halos, it's a 2-d Uniform dist.\n", " halo_positions = pm.Uniform(\"halo_positions\", 0, 4200, shape=(n_halos_in_sky,2)) #notice this size\n", " \n", " fdist_constants = np.array([240, 70, 70])\n", " \n", " _sum = 0\n", " for i in range(n_halos_in_sky):\n", " _sum += masses[i]/f_distance(data[:,:2], halo_positions[i, :], fdist_constants[i])*\\\n", " tangential_distance(data[:,:2], halo_positions[i, :])\n", " \n", " mean = pm.Deterministic(\"mean\", _sum)\n", " \n", " ellpty = pm.Normal(\"ellipcity\", mu=mean, tau=1./0.05, observed=data[:,2:])\n", " \n", " mu, sds, elbo = pm.variational.advi(n=50000)\n", " step = pm.NUTS(scaling=model.dict_to_array(sds), is_cov=True)\n", " trace = pm.sample(samples, step=step, start=mu)\n", " \n", " burned_trace = trace[burn_in:]\n", " return burned_trace[\"halo_positions\"]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "n_sky = 215\n", "data = np.genfromtxt(\"data/Train_Skies/Train_Skies/\\\n", "Training_Sky%d.csv\" % (n_sky),\n", " dtype = None,\n", " skip_header = 1,\n", " delimiter = \",\",\n", " usecols = [1,2,3,4])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Applied interval-transform to mass_large and added transformed mass_large_interval_ to model.\n", "Applied interval-transform to halo_positions and added transformed halo_positions_interval_ to model.\n", "Iteration 0 [0%]: ELBO = 102.73\n", "Iteration 5000 [10%]: Average ELBO = 113.4\n", "Iteration 10000 [20%]: Average ELBO = 128.11\n", "Iteration 15000 [30%]: Average ELBO = 131.97\n", "Iteration 20000 [40%]: Average ELBO = 132.94\n", "Iteration 25000 [50%]: Average ELBO = 133.52\n", "Iteration 30000 [60%]: Average ELBO = 133.95\n", "Iteration 35000 [70%]: Average ELBO = 134.24\n", "Iteration 40000 [80%]: Average ELBO = 134.31\n", "Iteration 45000 [90%]: Average ELBO = 134.43\n", "Finished [100%]: Average ELBO = 134.31\n", " [-------100%-------] 5000 of 5000 in 621.1 sec. | SPS: 8.1 | ETA: -0.0" ] } ], "source": [ "#there are 3 halos in this file. \n", "samples = 5000\n", "traces = halo_posteriors(3, data, samples = samples, burn_in=500)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAJsCAYAAACiSeRcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fc2a67e3fd0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = draw_sky(data)\n", "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", "plt.xlabel(\"x-position\")\n", "plt.ylabel(\"y-position\")\n", "\n", "colors = [\"#467821\", \"#A60628\", \"#7A68A6\"]\n", "\n", "for i in range(traces.shape[1]):\n", " plt.scatter(traces[:, i, 0], traces[:, i, 1], c = colors[i], alpha = 0.02)\n", " \n", " \n", "for i in range(traces.shape[1]):\n", " plt.scatter(halo_data[n_sky-1][3 + 2*i], halo_data[n_sky-1][4 + 2*i], \n", " label = \"True halo position\", c = \"k\", s = 90)\n", " \n", "#plt.legend(scatterpoints = 1)\n", "plt.xlim(0, 4200)\n", "plt.ylim(0, 4200);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks pretty good, though it took a long time for the system to (sort of) converge. Our optimization step would look something like this:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(4500, 3, 2)\n", "[[ 3790.95827012 3794.60133909 3170.00252772 3142.31644835\n", " 2265.01634741 3623.32277728]]\n", "Using the mean:\n", "Your average distance in pixels you are away from the true halo is 175.125422038\n", "Your average angular vector is 1.0\n", "Your score for the training data is 1.17512542204\n", "Using a random location: [[1199 3589]]\n", "Your average distance in pixels you are away from the true halo is 2522.2681726\n", "Your average angular vector is 1.0\n", "Your score for the training data is 3.5222681726\n" ] }, { "data": { "text/plain": [ "3.5222681725978306" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "_halo_data = halo_data[n_sky-1]\n", "print(traces.shape)\n", "\n", "mean_posterior = traces.mean(axis=0).reshape(1,6)\n", "print(mean_posterior)\n", "\n", "\n", "nhalo_all = _halo_data[0].reshape(1,1)\n", "x_true_all = _halo_data[3].reshape(1,1)\n", "y_true_all = _halo_data[4].reshape(1,1)\n", "x_ref_all = _halo_data[1].reshape(1,1)\n", "y_ref_all = _halo_data[2].reshape(1,1)\n", "sky_prediction = mean_posterior\n", "\n", "\n", "print(\"Using the mean:\")\n", "main_score([1], x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, sky_prediction)\n", "\n", "#what's a bad score?\n", "random_guess = np.random.randint(0, 4200, size=(1,2))\n", "print(\"Using a random location:\", random_guess)\n", "main_score([1], x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, random_guess)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "1. Antifragile: Things That Gain from Disorder. New York: Random House. 2012. ISBN 978-1-4000-6782-4.\n", "1. [Tim Saliman's solution to the Dark World's Contest](http://www.timsalimans.com/observing-dark-worlds)\n", "2. Silver, Nate. The Signal and the Noise: Why So Many Predictions Fail — but Some Don't. 1. Penguin Press HC, The, 2012. Print." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "<style>\n", " @font-face {\n", " font-family: \"Computer Modern\";\n", " src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunss.otf');\n", " }\n", " div.cell{\n", " width:800px;\n", " margin-left:16% !important;\n", " margin-right:auto;\n", " }\n", " h1 {\n", " font-family: Helvetica, serif;\n", " }\n", " h4{\n", " margin-top:12px;\n", " margin-bottom: 3px;\n", " }\n", " div.text_cell_render{\n", " font-family: Computer Modern, \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n", " line-height: 145%;\n", " font-size: 130%;\n", " width:800px;\n", " margin-left:auto;\n", " margin-right:auto;\n", " }\n", " .CodeMirror{\n", " font-family: \"Source Code Pro\", source-code-pro,Consolas, monospace;\n", " }\n", " .prompt{\n", " display: None;\n", " }\n", " .text_cell_render h5 {\n", " font-weight: 300;\n", " font-size: 16pt;\n", " color: #4057A1;\n", " font-style: italic;\n", " margin-bottom: .5em;\n", " margin-top: 0.5em;\n", " display: block;\n", " }\n", " \n", " .warning{\n", " color: rgb( 240, 20, 20 )\n", " } \n", "</style>\n", "<script>\n", " MathJax.Hub.Config({\n", " TeX: {\n", " extensions: [\"AMSmath.js\"]\n", " },\n", " tex2jax: {\n", " inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n", " displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n", " },\n", " displayAlign: 'center', // Change this to 'center' to center equations.\n", " \"HTML-CSS\": {\n", " styles: {'.MathJax_Display': {\"margin\": 4}}\n", " }\n", " });\n", "</script>" ], "text/plain": [ "<IPython.core.display.HTML at 0x510f198>" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 4 }