{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Past Earth Network Emulator Meeting: Lab 3\n", "\n", "by Alan Saul and Richard Wilkinson.\n", "\n", "In this final lab session, we will look at doing PCA dimension reduction of high dimensional simulator output in order to emulate a climate model. We will then do a crude calibration/history-matching exercise to fit the simulator to data. We will then look briefly at using non-Gaussian likelihood functions in GPy.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Emulating the UVic climate model\n", "\n", "UVic ESCM is an intermediate complexity model with a general circulation ocean and dynamic/thermodynamic sea-ice components coupled to a simple energy/moisture balance atmosphere. It has a dynamic vegetation and terrestrial carbon cycle model (TRIFFID) as well as an inorganic carbon cycle.\n", "\n", "We will just consider two of the inputs to this model\n", "\n", "Inputs: \n", "- Q10 = soil respiration sensitivity to temperature (carbon source) and \n", "- Kc = CO2 fertilization of photosynthesis (carbon sink).\n", "\n", "and just examine the time-series of CO2 values predicted for different values of these parameters.\n", "\n", "Output: \n", "- time-series of CO2 values" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import GPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple factorial design was used for Q10 and Kc here. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.genfromtxt('https://raw.githubusercontent.com/rich-d-wilkinson/PEN_Labs/master/UVic_x.csv', delimiter=',', skip_header=1)\n", "plt.scatter(X[:,0], X[:,1])\n", "plt.xlabel('Q10')\n", "plt.ylabel('Kc')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At each point in the design the simulator was run, giving us a time-series of CO2 values. There is one curve per simulator run here." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4f5+bycn0cXFhhKsrXuHhHIqKY/wRC1pu0qG3yiSvyx5OlVmD7xJXklK2kmfq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hbjXGPH6xX6TPIxbGmCBw2P5yh4jMAu4CvnoOT68E3CLijxi1yLL39eY14FbgCNDe1z4rpZRS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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = np.genfromtxt('https://raw.githubusercontent.com/rich-d-wilkinson/PEN_Labs/master/simco2.csv', delimiter=',', skip_header=1)\n", "#y = np.genfromtxt('simco2.csv', delimiter=',', skip_header=1)\n", "y=y.T\n", "y=y[1:,:]\n", "for i in range(y.shape[0]):\n", " plt.plot(np.arange(1960, 2001,1), y[i,:])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our aim is to use the observational data, to infer what value of Q10 and Kc are realistic. Let's plot the data on top of these curves." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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o1ChKth8ixjwWFhUCo4Z0bMXHk2AhhBCfMy0tp2httSIzs5rhQUs5cGs3P/Qc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\n1h+SoGtAj5UVOs2TLKhU0SM7TM51Fc7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hOT1wWOSHjrsmVVUH+PLLSjw9t+DuHkBMzPzV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\nndTapbI/1YL8VFfGu5hxZ4wf/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "yobs = np.genfromtxt('https://raw.githubusercontent.com/rich-d-wilkinson/PEN_Labs/master/fieldco2.csv', delimiter=',', skip_header=1)\n", "yobs=yobs[:,1]\n", "for i in range(y.shape[0]):\n", " plt.plot(np.arange(1960, 2001,1), y[i,:], linewidth=0.2 )\n", "plt.scatter(np.arange(1960, 2001,1), yobs)\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The output from each simulator run is 41 different numbers. We could build a different emulator for each output, but that would be hard work. Lets instead use principal component analysis to reduce the dimension. \n", "\n", "There is a good implementation of PCA in sklearn that we will use here. Lets just use 2 components for now and visualise them. Note that the PCA command automatically removes the mean trend before doing the PCA. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 3.42899287e+02, 1.56627624e-01])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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O8Nm2LcTHu5DRpg3E6o9TKSRrLVN/msr90+9n9Z7VXN/ieh6/5HGaVG3idWlhR8FDRMJK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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2)\n", "pca.fit(y)\n", "plt.plot(np.arange(1960, 2001,1), pca.components_[0,:])\n", "plt.plot(np.arange(1960, 2001,1), pca.components_[1,:])\n", "pca.explained_variance_\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's project the simulated data onto these principal components. We can visualise the 55 simulator evaluations in this new 2d space." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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o1ChKth8ixjwWFhUCo4Z0bMXHk2AhhBCfMy0tp2httSIzs5rhQUs5cGs3P/Qc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\n1h+SoGtAj5UVOs2TLKhU0SM7TM51Fc7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hOT1wWOSHjrsmVVUH+PLLSjw9t+DuHkBMzPzV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\nndTapbI/1YL8VFfGu5hxZ4wf/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_proj = pca.transform(y)\n", "#plt.scatter(y_proj[:,0], y_proj[:,1])\n", "y_recon = pca.inverse_transform(y_proj)\n", "for i in range(y.shape[0]):\n", " plt.plot(np.arange(1960, 2001,1), y[i,:], linewidth=0.2 )\n", "plt.scatter(np.arange(1960, 2001,1), yobs)\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(y_proj[:,0], y_proj[:,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also project the data onto the same set of components and add this point to our plot." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 14.7633426, 4.0248833]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "yobs_proj = pca.transform(yobs[None,:])\n", "plt.scatter(y_proj[:,0], y_proj[:,1])\n", "plt.scatter(yobs_proj[:,0], yobs_proj[:,1],color='red' )\n", "yobs_proj" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the data score on the first PC lies within the set of simulator runs, but the second PC score is a long way from the simulator runs. This could be due to model discrepancy.\n", "\n", "Let's just focus on the first PC. We'll build a simple emulator to predict this component." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/10, f = 88.9824538249068\n", "Optimization restart 2/10, f = 88.98245388505461\n", "Optimization restart 3/10, f = 88.98245382492078\n", "Optimization restart 4/10, f = 88.98245382884068\n", "Optimization restart 5/10, f = 88.98245382755294\n", "Optimization restart 6/10, f = 88.98245382943632\n", "Optimization restart 7/10, f = 88.98245384509147\n", "Optimization restart 8/10, f = 88.98245382490097\n", "Optimization restart 9/10, f = 88.98245382906205\n", "Optimization restart 10/10, f = 88.98245382497882\n", "\n", "Name : GP regression\n", "Objective : 88.98245382490097\n", "Number of Parameters : 4\n", "Number of Optimization Parameters : 4\n", "Updates : True\n", "Parameters:\n", " \u001b[1mGP_regression. \u001b[0;0m | value | constraints | priors\n", " \u001b[1mrbf.variance \u001b[0;0m | 475.534577146 | +ve | \n", " \u001b[1mrbf.lengthscale \u001b[0;0m | (2,) | +ve | \n", " \u001b[1mGaussian_noise.variance\u001b[0;0m | 0.509079838266 | +ve | \n" ] } ], "source": [ "k1 =GPy.kern.RBF(2, ARD=True)\n", "m1 = GPy.models.GPRegression(X, y_proj[:,0].reshape((X.shape[0],1)), k1)\n", "m1.optimize_restarts(10)\n", "print(m1)\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Xp1, Xp2 = np.meshgrid(np.linspace(1,4,100), np.linspace(0.0, 0.6, 50))\n", "Xp = np.hstack((Xp1.flatten()[:, None], Xp2.flatten()[:, None]))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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D9L+2tDURnmJdrkQMEtdcU+8wZAI6YYiISMTp60qjQ0VbRGZM3zUuMjtUtKX+5tgZvaJ4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\nnWQTBy5191TBff4dsBv4X+7+PysNdzI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mup, Vp = m1.predict_noiseless(Xp)\n", "plt.contourf(Xp1, Xp2, mup.reshape(50, 100))\n", "plt.colorbar()\n", "plt.scatter(X[:,0], X[:,1])\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Xp = np.meshgrid" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Let's now try to do a simple history match. We'll use a simple history match completely ignoring the issue of discrepancy (which is not recommended!). We'll do the history match in principal component space, which isn't recommended either.\n", "\n", "We'll use a uniform prior for Q10 and Kc: \n", "$$Q_{10}\\sim U[1,4] \\qquad K_c \\sim U[0.0, 0.6]$$" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "We'll do the calibration using an approximate Bayesian computation (ABC) type approach, which is a generic approach which includes history matching as a special case. We will \n", "\n", "- simulate a large number of sample parameter values from the prior distribution\n", "- for each parameter value, we'll use the emulator to predict what the simulator PC1 score would be\n", "- We'll then accept those parameters that give PC1 scores that are close to the PC1 score we found for the data." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Q10 = np.random.rand(1000,1)*3+1\n", "Kc = np.random.rand(1000,1)*0.6+0.0\n", "Xpred = np.concatenate((Q10, Kc), axis=1)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mu, V = m1.predict(Xpred)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll use a simple implausibility type measure here to rule parameter sets in or out here. Note again that we're just dividing by the variance of the emulator, completely ignoring measurement error and simulator discrepancy. We use a 3-sigma rule to determine the cut-off." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.0, 0.6)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ae5Y7R5LUfSo9XEqlEnfeeSelUokDB+44abaiWBznoosGyt9VX7KBvwV+mywn5HeBs8mS\nWm9kYuLOk7buqn6dsARzBtADPLHk+BPAlmpviIg+4P3AJSmlYxHR2hFKktacvr6+FXeq9Pb2cu+9\nB9m27bV8+ctv59ixE0s2WdCxAXhH+ffblrz7RFKru2FWp+0zII2KiA1kyy7vSilVsoiMQCRJq/KX\nf/kXXH75hSxcsrn00vO4/fYiExMTwDGyHTELWQvkVHXCDMhTwDwnJ5GeCXy3yvm/ALwGOC8iPl4+\ntgGIiPgZ8IaU0heX+7B9+/axcePGRccKhQKFQmF1o5ckrWmVJZuZmZmqzeXqSWpdT4rFIsVicdGx\no0ePNv1zIku3aK+IOAT8TUppb/n7IMv0uSml9CdLzg3gnCWXuA54HfAm4BsppZ9U+YwBYGpqaoqB\ngYGlL0uSVNWRI0coFHZX7YjbLbtgpqenGRwcBBhMKTWl7EUnzIAAfBi4NSKmOLEN93TgVoCI+ADw\nspTSleUE1f+x8M0R8T3gpymlh3MdtSRp3as1Q6LV6YgAJKX0mYg4A3gv2dLLQ8BwSunJ8ilnkaUe\nS5LUFrWSWtWYjghAAFJKNwM3L/PaVTXe+x7cjitJaqJSqcTs7KwzHi2y5nbBSJLUSit1yVXzGIBI\nkrTA4i65Vj5tlY5ZgpEkKQ8rLa1UuuQu7Q0zP5+YmBhjZmbG5ZgmcQZEkrRulEol9u/fX7VEej1L\nK4u75C50ovKpmsMARJK05tUTXPzar72Rv/7re1ipqdyJLrnVe8NY+bR5DEAkSWveSnkbc3NzXHrp\na/nSl+7h2LEfAb9H1nR99KSmcpUuuT09e8rXehwYp6dnL8PD67PyabsYgEiS1rRK3sb8/E1keRuL\nO9b++q//a+677+ssDE7gELCbaksrxeI4Q0NbWdgbZmhoK8XieJ5/rHXPJFRJUsdbKXG0Vt7Gvfce\nZGlSKSSyAON2YPHSipVP82EAIknqWHNzc+zcObZiH5bFeRu7Frz74IKvqwcnGza8h8svr760YuXT\n1nIJRpLUseqpybFS3sYll1QCj+pJpRddNOjSSpsYgEiSOlKt3I6FW22Xy9v43Of+n6rByYYNe7j0\n0u3ce+8Xu6ajbadxCUaS1JHqqclRWSJZKW+jWBynUNjNxMTY8StcfvmoMx9tZgAiSepItXI7qtXk\nqJa3YVJpZzIAkSR1pEpux+TkHubnE9nMx0F6evYyNNR4TQ6TSjuLOSCSpI5lTY71yxkQSVLHcvlk\n/TIAkSR1vNUun6xUwEzt5RKMJGndqac5ndrLAESStO7UU8BM7eUSjCRpXakUMFva/2V+PjExMcbM\nzIzLMR3AGRBJ0rpSTwEztZ8BiCRpXVlcwGyh5QuYKX8GIJKkjlUqldi/f/+ivi+1rNScbni48QJm\nag0DEElSxznVXSwWMOt8JqFKkjrO4l0s24B7mJzcQ6GwmwMH7qj5fguYdT4DEElSR2nmLhb7v3Qu\nl2AkSR3FXSzdwQBEktRR3MXSHQxAJEkdxV0s3cEARJLUcdzFsv6ZhCpJ6jjuYln/DEAkSR3LXSzr\nl0swkiQpdwYgkiQpdy7BSJLaplQqMTs7a45HF3IGRJKUu1Pt9aK1zwBEkpS7xb1eHgPGmZw8RKGw\nu80jU15cgpEktdzCpZaUUtN6vWjtMgCRJLXM3NwcO3eOlQOOzMDAa8pfLd/rxQBk/XMJRpLUMtWW\nWh56aKb8qr1eupkzIJKkliiVSlWXWo4dS8CV9PTsYX4+kc18HKSnZy9DQ/Z66RYdMwMSEddFxKMR\n8ZOIOBQRF6xw7sUR8aWIeCoino6IhyPiP+Q5XknSymZnZ8tfVVtqOca5527CXi/da1UzIBHxB8B3\nU0p/tuT41cCLU0p/1OD13gx8CLgGuB/YB0xERH9K6akqb/kx8FHg6+WvLwH+S0T8KKX0pw3/gSRJ\nTbdp06byV/dwYgYEKkstf/7nnwaw10uXWu0SzG8Bb65y/G+BPwcaCkDIAo5PppRuA4iIa4EdwNXA\nHy89OaX0EPDQgkP/LSLeBFwKGIBIUgfo7+9neHiUycmVl1oMPLrTapdgzgK+V+X4k8BLG7lQRDwH\nGAQ+XzmWUkrAJHBhndc4v3zuFxv5bElSaxWL4wwNbcWlFi212hmQx4GLgUeXHL8Y+E6D1zoD6AGe\nWHL8CWDLSm+MiMeBF5ff/+6lS0KSpPbq7e3lwIE7mJmZyWWpxdLua8dqA5BbgI+UZy/uLh+7jGy5\n5EPNGFidLgF+HtgK/FFEHE4p3b7SG/bt28fGjRsXHSsUChQKhdaNUpK6XF9fX0sDgmr1RoaHRykW\nx+nt7W3Z565HxWKRYrG46NjRo0eb/jmRrXY0+KaIAD4I7AGeWz78U7Lcjw+nlH7UwLWeAzwNvCml\n9LkFx28FNqaU3ljndd4J7E4pnbPM6wPA1NTUFAMDA/UOT5K0BoyM7GBy8hDz8zeR7bq5h56ePQwN\nbeXAgTvaPbw1b3p6msHBQYDBlNJ0M67ZUA5IROyDLEcjpfT7ZMsfW4FzgRcCNwATjVwzpfQMMEU2\ng1L5nCh/f18Dl+oBTmvksyVJa1+l3kgWfOwCziYr7X4jExN3MjMzU+MKaodGl2DeHxHfr+xWKc90\nPAAQEc8H9gMvWsU4PgzcGhFTnNiGezpwa/naHwBellK6svz928hK6j1Sfv924HeBj6zisyVJa9jK\n9UYs7d6pGg1AxoD/MyJ+sGS55PlkMx8vofJfvAEppc9ExBnAe4EzybbYDqeUniyfchZZSFuxAfgA\n8ErgWWAWeEdK6b80+tmSpLWtVr0RS7t3poYCkJTSZyPiF4FiROxIKX2xHHwcIAsctqeU/mE1A0kp\n3QzcvMxrVy35/mPAx1bzOZKk9aXeeiPqLA3XASlXGn0P8JcR8VqyZZeXAa9LKTW6BVeSpFNmvZG1\nZ1XbcFNKfxwRLyQrHvYN4LUppW81c2CSJNUr73ojOnUNBSAR8X8vOfQM8BRwY7ZxJZNS+tenPjRJ\nkhrT6nojap5GZ0CWViIpVj1LkiRpBY0moV5V+yxJkqSVrbYZnSRJ0qoZgEiSpNwZgEiSpNwZgEiS\npNwZgEiSpNwZgEiSpNwZgEiSpNwZgEiSpNwZgEiSpNwZgEiSpNytqhuuJEnVlEolZmdn7UarmpwB\nkSSdsrm5OUZGdrBlyxZGR0fp7+9nZGQHR44caffQ1KEMQCRJp2znzjEmJw8B48BjwDiTk4coFHa3\neWTqVC7BSJJOSalUYmLiTrLgY1f56C7m5xMTE2PMzMy4HKOTOAMiSTols7Oz5a+2LXllOwCHDx/O\ndTxaG5wBkSStSiXhtKenp3zkHk7MgAAcBGDz5s15D01rgAGIJKkhc3Nz7Nw5Vl52ybzoRWdy5Mhv\nc+xYIpv5OEhPz16GhkZdflFVLsFIkhpSLeH0Bz94ht7e04Ax4BXAGENDWykWx9s5VHUwZ0AkSXVb\nKeH0+98f46677uLZZ5+1DohqMgCRJNWtVsLps88+yxVXXJHrmLQ2uQQjSarbpk2byl/ds+QVE07V\nGAMQSVLd+vv7GR4epadnD9kyzOPAOD09exkeNuFU9XMJRpLUkGJxnEJhNxMTY8ePDQ2N1p1wurBf\nTErJ3jFdygBEktSQ3t5eDhy4g7vuuotDhw5x4YUXcvnll9d838nbdzcAx46/PjycBTG9vb2tGbg6\nikswkqSGVBrPDQ8P8653vYs3vOENdTWeW7x99/XARuwd070MQCRJDVlN47nK9t35+ZuAC4C7gf8d\neCHwU7KtvDcyMXEnMzMzrf9DqO0MQCRJdVscSOwCzqae4GHx9t2HyH78vAMYBfqBHcC5gL1juoUB\niCSpbqttPLd4++7NwC+wcAYFDgH/DnArb7cwAJEk1W21dUAq23c3bLiufO7HWTiDAjcCD3HJJdvd\nDdMlDEAkSXU7lTogxeI4551Xeb36DMrb3/62FoxancgARJLUkGJxnKGhrTTaeK63t5di8dPl76rP\noJx//vlNHq06lXVAJEkNqdQBmZmZ4fDhww0VEavMoExO7mF+PpHNfBykp2cvQ0NWUu0mBiCSpFXp\n6+tbVcBwqpVUtT4YgEiScnUqMyhaPwxAJEkts7Dvy9IgY7UzKFofTEKVJDVdpVz7li1bGB0dpb+/\nv65y7eoeHROARMR1EfFoRPwkIg5FxAUrnPvGiLgrIr4XEUcj4r6IeEOe45UkLW815drVXToiAImI\nNwMfAt4FnA98DZiIiDOWecs24C7gCmAA+ALwVxFxbg7DlSStYLXl2tVdOiIAAfYBn0wp3ZZSegS4\nFngauLraySmlfSml/5xSmkopzaaU3gnMAP9LfkOWJFWz2nLt6i5tD0Ai4jnAIPD5yrGUUgImgQvr\nvEaQNRaYa8UYJUn1W225dnWXtgcgwBlAD/DEkuNPAGfVeY13AM8HPtPEcUmSVuFUyrWre6z5bbgR\nsRO4HvjVlNJTtc7ft28fGzduXHSsUChQKBRaNEJJ6j4WG1u7isUixWJx0bGjR482/XMiW+1on/IS\nzNPAm1JKn1tw/FZgY0rpjSu89y3AnwK/kVI6UONzBoCpqakpBgYGmjJ2SdLKLDa2PkxPTzM4OAgw\nmFKabsY1274Ek1J6BpgCLqscK+d0XAbct9z7IqIA/B/AW2oFH5Kk9mj3P3LVudoegJR9GHhrRPy7\niPgl4BPA6cCtABHxgYj4VOXk8rLLp4DfBR6IiDPLv16Q/9AlSUtZiEy1dEQAklL6DPB7wHuBB4Ff\nAYZTSk+WTzmLbCN5xVvJElc/Dnxnwa+P5DVmSdLyLESmWjomCTWldDNw8zKvXbXk+9flMihJUsMq\nhciy4GNX+egu5ucTExNjzMzMmA+izpgBkSStHxYiUz0MQCRJTWUhMtXDAESS1FQWIlM9DEAkSU1X\nLI4zNLQVGANeAYwxNLTVQmQ6rmOSUCVJ60dvby8HDtxhITItywBEktQyfX19Bh6qyiUYSZKUOwMQ\nSZKUOwMQSZKUOwMQSZKUOwMQSZKUOwMQSZKUOwMQSZKUOwMQSZKUOwMQSZKUOwMQSZKUOwMQSZKU\nOwMQSZKUOwMQSZKUO7vhSpJaplQqMTs7y+bNm+2Kq0WcAZEkNd3c3BwjIzvYsmULo6Oj9Pf3MzKy\ngyNHjrR7aOoQBiCSpKbbuXOMyclDwDjwGDDO5OQhCoXdbR6ZOoVLMJKkpiqVSkxM3EkWfOwqH93F\n/HxiYmKMmZkZl2PkDIgkqblmZ2fLX21b8sp2AA4fPpzreNSZDEAkSU21adOm8lf3LHnlIACbN2/O\ndTzqTAYgkqSm6u/vZ3h4lJ6ePWTLMI8D4/T07GV4eNTlFwEGIJKkFigWxxka2gqMAa8Axhga2kqx\nON7mkalTmIQqSWq63t5eDhy4g5mZGQ4fPmwdEJ3EAESS1DJ9fX0GHqrKJRhJkpQ7AxBJkpQ7AxBJ\nkpQ7AxBJkpQ7k1AlSSuyo61awRkQSVJVdrRVKxmASJKqqqejbalUYv/+/czMzLRrmFqjDEAkSSep\ndLSdn7+JrKPt2WQdbW9kYuJOHnjgAWdHdEoMQCRJJ6nV0fbaa6+rOjsyNDTsbIjqYgAiSTpJrY62\n09MPVJ0dmZ5+wNkQ1cUARJJ0kpU62g4MvKZ8VvXZEXjHSbki0lIdE4BExHUR8WhE/CQiDkXEBSuc\ne1ZEfDoi/i4i5iPiw3mOVZK6wXIdbT/xiZvLZ1SfHYG3Hs8VcTlGy+mIOiAR8WbgQ8A1wP3APmAi\nIvpTSk9VectpwPeAPyyfK0lqspU62g4PjzI5uYf5+UQ283EQ2AuMAn3A8wA4fPiwtUNUVafMgOwD\nPplSui2l9AhwLfA0cHW1k1NK30wp7UspjQM/zHGcktR1+vr6uOKKKxYFEtVmR2Ar2XINVGZDNm/e\nnO9gtWa0PQCJiOcAg8DnK8dSSgmYBC5s17gkScurzI6USiUGBl7Dhg0bgQLwIyq5IsPDo85+aFlt\nD0CAM4Ae4Iklx58Azsp/OJKkevX19TE5eReXX34xS3NFisXxGu9WN+uIHBBJ0tq1Uq6ItJxOCECe\nAuaBM5ccPxP4brM/bN++fWzcuHHRsUKhQKFQaPZHSVJX6evrM/BYB4rFIsVicdGxo0ePNv1zIku3\naK+IOARfslx3AAAM9klEQVT8TUppb/n7ICutd1NK6U9qvPcLwIMppd+pcd4AMDU1NcXAwECTRi5J\n0vo3PT3N4OAgwGBKaboZ1+yEGRCADwO3RsQUJ7bhng7cChARHwBellK6svKGiDgXCODngReXv/9Z\nSunhnMcuSWtWqVRidnbWZRPlriMCkJTSZyLiDOC9ZEsvDwHDKaUny6ecRVbrd6EHgcr0zQCwE/gm\n8KrWj1iS1ra5uTl27hxjYuLO48eGh0cpFsfp7e1t48jULTphFwwAKaWbU0qvTCn9XErpwpTSVxe8\ndlVK6fVLzt+QUupZ8svgQ5LqsHPnWNVmcpZPV146YgZEkpSfUqlUnvkYJ2smB1kzucTExBgzMzP0\n9fW5PKOW6pgZEElSPmZnZ8tfVW8m9+CDDzIysoMtW7YwOjpqd1u1hAGIJHWZTZs2lb+q3kzuYx+7\n2eUZtZxLMJLUlTYAbyfL5a80k9sDBPfee5BayzPSqXIGRJLWqVKpxP79+5mZmVl0PFuCOQacz+Jm\ncudzYnNh9eWZw4cPt3DE6iYGIJK0zszNza2Yw3FiCeZqoATcWf79qgVXqb48Y3dbNYsBiCStM7W2\n2Pb39zM8PEpPzx7gb4BfBv7meAfbE6+NA49jd1u1gjkgkrSO1LvFtlgcp1DYzcTE2PH3Dg2NHu9g\nu9JrUjMYgEjSOlJri+3hw4fp6+ur2cHW7rZqNQMQSVpHFm+x3bXgleo5HCt1sLW7rVrJHBBJWkcW\n53e0PodjuZ02Ui0GIJK0zhSL4wwNbWXhFtuhoa1NzeGotdNGqsUlGElaZ2rldzTD4p0224B7mJzc\nQ6GwmwMH7mjqZ2l9MgCRpHWqVTkc9e60kVbiEowkqSH17LSRajEAkSTVbW5ujve//4Pl76yWqtVz\nCUaSVLedO8f4ylf+P+A8suZ1J5rZ9fTsZWjIaqmqjwGIJKkui3M/RoHdZDttMhddtN1qqaqbSzCS\npLoszv3oBe4ga2L3KQD+4A9+n97e3vYMTmuOAYgkrRPNKgq23HUWV1mt6KPyo8TcDzXCAESS1rhm\nFQWrdZ28q6xqfTMAkaQ1bnFRsMeAcSYnD1Eo7G76dfKosqruYBKqJK1hzSoKVu918qiyqu7gDIgk\nrWHNKgrW6HX6+vq44oorDD60agYgkrSGVU8MhUaLgjXrOlK9DEAkaQ1bbWLo0p0uJpgqbwYgkrTG\nNZIYutJOFxNMlSeTUCVpjWskMXTxTpdtwD1MTu6hUNjNgQN3mGCq3BiASNI60dfXt2LAUO9Ol1rX\nkZrBJRhJ6hLN2jEjNYMBiCR1CXe6qJMYgEhSl3CnizqJAYgkdRF3uqhTmIQqSV3EUurqFAYgktSF\n3OmidnMJRpIk5c4ARJIk5c4ARJIk5c4cEElaB0qlErOzsyaVas1wBkSS1rCVmstJncwARJLWsMXN\n5R4DxpmcPEShsLvNI5NW1jEBSERcFxGPRsRPIuJQRFxQ4/zXRsRURPw0IkoRcWVeY+0mxWKx3UNY\nk7xvjfOeNa7SXG5+/iay5nJnkzWXu5GJiTuZmZlp8wg7k89aZ+iIACQi3gx8CHgXcD7wNWAiIs5Y\n5vxXAv8d+DxwLnAj8KcRcXke4+0m/o+6Ot63xnnPGmdzudXxWesMHRGAAPuAT6aUbkspPQJcCzwN\nXL3M+f8b8Pcppf+YUvq7lNLHgc+WryNJXcHmclrL2h6ARMRzgEGy2QwAUkoJmAQuXOZtW8uvLzSx\nwvmStO709/fz4he/xOZyWpM6YRvuGUAP8MSS408AW5Z5z1nLnP+CiDgtpfRPzR2iJHWmwcEBUtrA\nxMTY8WNDQ6M2l1PH64QAJC/PA3j44YfbPY415ejRo0xPT7d7GGuO961x3rPVefrpp7nhhhu49tq3\n8vjjj3P22Wfzile8gkcffZRHH3203cPrSD5rjVvws/N5zbpmZKsd7VNegnkaeFNK6XMLjt8KbEwp\nvbHKew4CUyml31lw7H8Fbkgp9S7zOTuBTzd39JIkdZVdKaX/1owLtX0GJKX0TERMAZcBnwOIiCh/\nf9Myb/sKcMWSY28oH1/OBNk+tW8APz2FIUuS1G2eB7yS7GdpU7R9BgQgIv4tcCvZ7pf7yXaz/Abw\nSymlJyPiA8DLUkpXls9/JfD/AjcD/5UsWPkIMJpSWpqcKkmSOkzbZ0AAUkqfKdf8eC9wJvAQMJxS\nerJ8yllkFXYq538jInYANwB7gG8B/97gQ5KktaEjZkAkSVJ3aXsdEEmS1H0MQCRJUu7WRQASEZdG\nxOci4tsRcSwifrWO93R9M7tG71tEbC+ft/DXfES8JK8xt1tE/EFE3B8RP4yIJyLiLyKiv473de3z\ntpp75rMGEXFtRHwtIo6Wf90XESM13tO1zxk0fs98zk4WEf+pfB8+XOO8U37W1kUAAjyfLHH1bUDN\npBab2R3X0H0rS0AfWWLwWcBLU0rfa83wOtKlwEeB/xkYAp4D3BURP7fcG3zeGr9nZd3+rD0O/D4w\nQNau4m7gLyPinGon+5wBDd6zsm5/zo4rd6G/hqwh7ErnvZImPGvrLgk1Io4Bv76wqFmVc/4IuCKl\n9CsLjhXJCp+N5jDMjlPnfdtO9j90b0rph7kNroOVd299D9iWUvrSMuf4vC1Q5z3zWasiIr4P/F5K\n6c+qvOZzVkWNe+ZzVhYRPw9MkTV7vR54cGGxzyXnNuVZWy8zII2ymd3qBfBQRHwnIu6KiIvaPaA2\n+0Wyf0HNrXCOz9ti9dwz8Fk7LiI2RMRbgNNZvuCiz9kCdd4z8Dmr+DjwVymlu+s4tynPWkfUAWkD\nm9mtzj8AvwV8FTgNeCvwxYj4Vymlh9o6sjaIiCArgPellNL/WOFUn7eyBu6ZzxoQEb9M9sPzecA/\nAm9MKT2yzOk+ZzR8z3zOgHKgdh7wmjrf0pRnrVsDEK1CSqkElBYcOhQRm8gq13ZVslvZzcCrgYvb\nPZA1pK575rN23CNka+wbyapD3xYR21b4gaoG7pnPGUTEPyf7R8FQSumZPD+7W5dgvktWcXWhM4Ef\ndsu/EprofmBzuweRt4j4GDAKvDal9A81Tvd5o+F7Vk3XPWsppWdTSn+fUnowpfROsuTAvcuc7nNG\nw/esmm57zgaBFwPTEfFMRDwDbAf2RsTPyrOWSzXlWevWGZDVNLNTdeeRTWN2jfIP0l8DtqeUHqvj\nLV3/vK3inlXTdc9aFRvIlgqq6frnbBkr3bNquu05mwT+5ZJjtwIPAx9M1XeqNOVZWxcBSEQ8nyxi\nrURqr4qIc4G5lNLjsaSZHfAJ4LpyJm+lmd1vkP3rrGs0et8iYi/wKPC3ZOurbwVeB3TNNr+IuBko\nAL8K/DgiKv8KOJpS+mn5nPcDL/d5y6zmnvmsHb8n+4HHgF8g6+a9newvevx77WSN3jOfM0gp/RhY\nlI8VET8Gvp9Serj8fUv+TlsXAQhZ4swXyDLrE/Ch8vFPAVdjM7vlNHTfgOeWz3kZ8DTwdeCylNI9\neQ24A1xLdq++uOT4VcBt5a9fis/bQg3fM3zWAF5C9v/iS4GjZPfgDQt2Kfj32skaumf4nC1n6axH\nS/5OW3d1QCRJUufr1iRUSZL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Implausibility = (mu-yobs_proj[0,0])**2/(V)\n", "keep = Implausibility<=3**2\n", "plt.scatter(Xpred[keep.flatten(),0], Xpred[keep.flatten(),1])\n", "plt.xlabel('Q10')\n", "plt.ylabel('Kc')\n", "axes=plt.gca()\n", "axes.set_xlim(1,4)\n", "axes.set_ylim(0.0,0.6)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "Compare your history match with the contour plot of the emulator above. Does it make sense?\n", "\n", "Try building an emulator for PC2 and then calibrating to both PC scores.\n", "- What is the danger here?\n", "- Try adding a simulator discrepancy variance of 3. How does that change your history match?\n", "- Repeat this with a subsample of the training set (n=20 simulator runs for example). How does this change the resulting history match." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ueSLSFu3aROw5YGxISTmvvfYoZWW/JD09naKiWZSVlWmdCpEkEnVg4ZzbAXzg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\n6zoTqc/8OlPxhlfPBfoBt+Dd0z0iGfs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X[31,]\n", "yobs = np.genfromtxt('https://raw.githubusercontent.com/rich-d-wilkinson/PEN_Labs/master/fieldco2.csv', delimiter=',', skip_header=1)\n", "yobs=yobs[:,1]\n", "\n", "plt.plot(np.arange(1960, 2001,1), y[31,:], linewidth=1 )\n", "plt.scatter(np.arange(1960, 2001,1), yobs)\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to see a more detailed analysis of this dataset, and an introduction to the use of PCA emulators, see\n", "\n", "[Wilkinson, R. D. (2010). Bayesian calibration of expensive multivariate computer experiments. In L. T. Biegler, G. Biros, O. Ghattas, M. Heinkenschloss, D. Keyes, B. K. Mallick, … Y. Marzouk (Eds.), Large-scale inverse problems and quantification of uncertainty. John Wiley and Sons](https://rich-d-wilkinson.github.io/docs/papers/WilkinsonInverseChapter.pdf).\n", "\n", "A complex example where we are emulating outputs which are spatial maps of the LOVECLIM simulator is available in\n", "\n", "[Bounceur, N., Crucifix, M., & Wilkinson. (2015). Global sensitivity analysis of the climate vegetation system to astronomical forcing: an emulator-based approach. Earth Syst. Dynam. Discuss, 6, 205–224.](https://rich-d-wilkinson.github.io/docs/papers/WilkinsonInverseChapter.pdf)\n", "\n", "We can also do dimension reduction on the inputs. Emulating from spatial maps to spatial maps is done in \n", "\n", "[Crevillén-García, D., Wilkinson, R. D., and A. A. Shah, & Power, H. (2017). Gaussian Process Modelling for Uncertainty Quantification in Convectively-Enhanced Dissolution Processes in Porous Media. Advances In Water Resources, 99, 1–14.](https://rich-d-wilkinson.github.io/docs/papers/Crevillen_etal2016.pdf)\n", "\n", "and\n", "\n", "[Holden, P. B., Edwards, N. R., Garthwaite, P. H., & Wilkinson. (2015). Emulation and interpretation of high-dimensional climate model outputs. Journal Of Applied Statistics, 42, 2038–2055.](https://rich-d-wilkinson.github.io/docs/papers/Holden_etal2015.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Non-Gaussian likelihoods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we will consider data on the pace (mins/km) of the winner in the mens' olympic marathon. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Download the marathon data from yesterday and plot\n", "GPy.util.datasets.authorize_download = lambda x: True # prevents requesting authorization for download.\n", "data = GPy.util.datasets.olympic_marathon_men()\n", "X = data['X']\n", "Y = data['Y']\n", "\n", "plt.plot(X, Y, 'bx')\n", "plt.xlabel('year')\n", "plt.ylabel('marathon pace min/km')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Note that there is what looks like an outlier in 1904. Fitting a GP with a Gaussian likelihood might cause trouble here, as it is likely to be heavily influenced by this outlier. \n", "We'll see if we can deal with that outlier by considering a non-Gaussian likelihood. Noise sampled from a Student-t density is heavier tailed than that sampled from a Gaussian. However, it cannot be trivially assimilated into Gaussian processes as the Bayesian updates we use to find the posterior cannot now be used.\n", "\n", "\n", "Instead we have to use one of the approximate methods. Lets use a Student-T distribution that has heavy tails to allow for the outliers without drastically effecting the posterior mean of the GP. We will use a Laplace approximation to fit the GP the model. \n", "\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "GPy.likelihoods.StudentT?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Laplace" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " /Users/pmzrdw/GPy/GPy/inference/latent_function_inference/laplace.py:225: UserWarning:Not perfect mode found (f_hat). difference: 0.000476202277713611, iteration: 30 out of max 30\n", " /Users/pmzrdw/GPy/GPy/inference/latent_function_inference/laplace.py:229: UserWarning:f_hat now fine again. difference: 3.999971140800085e-05, iteration: 11 out of max 30\n" ] }, { "data": { "text/html": [ "\n", "\n", "

\n", "Model: gp
\n", "Objective: -0.631092444494822
\n", "Number of Parameters: 5
\n", "Number of Optimization Parameters: 5
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
gp. valueconstraintspriors
sum.rbf.variance 0.276023897238 +ve
sum.rbf.lengthscale 18.4860718934 +ve
sum.bias.variance 5.9828765131 +ve
Student_T.t_scale2 0.00486688115521 +ve
Student_T.deg_free 1.76641264418 +ve
" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "name": "stderr", "output_type": "stream", "text": [ " /Users/pmzrdw/anaconda/lib/python3.5/site-packages/matplotlib/figure.py:1742: UserWarning:This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n" ] }, { "data": { "image/png": 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TcDgczJkzh4EDB7JlyxZeeeUVFixYACRGzyZMmIDFYuGGG26goKCA119/ndmz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\nh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_distribution = GPy.likelihoods.StudentT(deg_free=5.0, sigma2=2.0)\n", "laplace = GPy.inference.latent_function_inference.Laplace()\n", "\n", "kern = GPy.kern.RBF(1, lengthscale=5) + GPy.kern.Bias(1, variance=4.0)\n", "m_stut = GPy.core.GP(X, Y, kernel=kern, inference_method=laplace, likelihood=t_distribution)\n", "\n", "m_stut.optimize()\n", "m_stut.plot(plot_density=False)\n", "\n", "m_stut" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: \n", "Check your model fits well. Can you make a prediction (with confidence interval) for what will happen in 2020? \n", "\n", "Try fitting a model with a Gaussian likelihood. How does the fit differ?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are other approximate inference methods used in GPy. Use the online documentation to find out about EP and variational approaches." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }