{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simple GP Regression " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gaussian processes are a powerful tool for nonlinear regression models. \n", "\n", "Assume that we have **predictor** variables $\\mathbf{X} = \\{\\mathbf{x_i}\\}_{i=1}^N \\in \\mathbb{R}^d$ and **response** variables $\\mathbf{y}=\\{y_i \\in \\mathbb{R}\\}_{i=1}^N$.\n", "\n", "The response variables $\\mathbf{y}$ are assumed to dependent on the predictors $\\mathbf{X}$,\n", "\n", "\\begin{equation}\n", "y_i \\sim \\mathcal{N}(f(\\mathbf{x}_i),\\sigma^2), \\ i=1,\\ldots,n, \n", "\\end{equation}\n", "\n", "where $f$ is a mapping function. Treating $f$ as a random function, we assume that the distribution over $f$ is a **Gaussian process**,\n", "$$\n", "f \\sim \\mathcal{GP}(m(\\mathbf{x}),k(\\mathbf{x},\\mathbf{x}')),\n", "$$\n", "where $m(\\cdot)$ and $k(\\cdot,\\cdot)$ are the mean and kernel functions respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1D regression example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by simulating some data" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "using GaussianProcesses\n", "using Random\n", "\n", "Random.seed!(20140430)\n", "# Training data\n", "n=10; #number of training points\n", "x = 2π * rand(n); #predictors\n", "y = sin.(x) + 0.05*randn(n); #regressors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step in modelling with Gaussian Processes is to choose mean functions and kernels which describe the process. \n", "\n", "**Note** that all hyperparameters for the **mean** and **kernel** functions and $\\sigma$ are given on the log scale. This is true for all strictly positive hyperparameters. Gaussian Processes are represented by objects of type 'GP' and constructed from observation data, a mean function and kernel, and optionally the amount of observation noise." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GP Exact object:\n", " Dim = 1\n", " Number of observations = 10\n", " Mean function:\n", " Type: MeanZero, Params: Float64[]\n", " Kernel:\n", " Type: SEIso{Float64}, Params: [0.0, 0.0]\n", " Input observations = \n", "[4.854610892030431 5.176527683588912 … 1.9941157865846477 3.4567590405289352]\n", " Output observations = [-0.9672931901680022, -1.0070469610508248, -1.0903962829715461, 0.8811208605233783, -0.3332131916909575, -0.9769651482106089, 0.9159341732111771, 0.7362180710829012, 0.9508490881368652, -0.3064317818816142]\n", " Variance of observation noise = 0.1353352832366127\n", " Marginal Log-Likelihood = -6.335" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Select mean and covariance function\n", "mZero = MeanZero() #Zero mean function\n", "kern = SE(0.0,0.0) #Squared exponential kernel (note that hyperparameters are on the log scale)\n", "\n", "logObsNoise = -1.0 # log standard deviation of observation noise (this is optional)\n", "gp = GP(x,y,mZero,kern,logObsNoise) #Fit the GP" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we've fit the `GP` function to the data, we can calculate the **predicted mean** and **variance** of the function at unobserved points $\\{\\mathbf{x}^\\ast,y^\\ast\\}$, conditional on the observed data $\\mathcal{D}=\\{\\mathbf{y},\\mathbf{X}\\}$. This is done with the `predict_y` function.\n", "\n", "The `predict_y` function returns the mean vector $\\mu(\\mathbf{x}^\\ast)$ and covariance matrix (variance vector if `full_cov=false`) $\\Sigma(\\mathbf{x}^\\ast,\\mathbf{x}^{\\ast^\\top})$ of the predictive distribution,\n", "\\begin{equation}\n", " y^\\ast|\\mathbf{x}^\\ast,\\mathcal{D} \\sim \\mathcal{N}(\\mu(\\mathbf{x}^\\ast),\\Sigma(\\mathbf{x}^\\ast,\\mathbf{x}^{\\ast^\\top})+\\sigma^2\\mathbf{I}),\n", "\\end{equation}\n", "where \n", "\\begin{eqnarray}\n", "\\mu(\\mathbf{x}^\\ast) &=& k(\\mathbf{x}^\\ast,\\mathbf{X})(k(\\mathbf{X}, \\mathbf{X}) + \\sigma_n^2 \\mathbf{I})^{-1}\\mathbf{y} \\\\ \\ \\mbox{and} \\\n", "\\Sigma(\\mathbf{x}^\\ast,\\mathbf{x}^{\\ast}) &=& k(\\mathbf{x}^\\ast,\\mathbf{x}^\\ast) -k(\\mathbf{x}^\\ast,\\mathbf{X})(k(\\mathbf{X}, \\mathbf{X})+ \\sigma_n^2 \\mathbf{I})^{-1} k(\\mathbf{X},\\mathbf{x}^\\ast).\n", "\\end{eqnarray}\n", "\n", "**Note** you can use the `predict_f` function to predict the latent function $\\mathbf{f}^\\ast$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "μ, σ² = predict_y(gp,range(0,stop=2π,length=100));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting GPs is straightforward and utilises the recipes approach to plotting from the [Plots.jl](https://github.com/JuliaPlots/Plots.jl) package. More information about plotting GPs and the available functionality can be found in this [notebook](https://github.com/STOR-i/GaussianProcesses.jl/blob/master/notebooks/Plotting%20GPs.ipynb).\n", "\n", "The default plot function `plot(gp)` outputs the predicted mean and variance of the function (i.e. uses `predict_f` in the background), with the uncertainty in the function represented by a confidence ribbon (set to 95% by default). All optional plotting arguments are given after `;`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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ExMSZM2c6HI5mzZq9+uqratflThjjfFG2sIJTUjSzUZyCsV2Q7IKUSRBGmvRn6EC9DiZjAAC8i5pBWLDLvOsGQRC9e/fu3bu3iiWVB0lRcjkplxPKOPnBk+H/pnlkOQWzjgrQ0/4MTUGvKQDAG3hEi1CrBFmxsEIeL2o3Ae+FMc4XpHxBIgnCpKMC9bQfJCIAwLNBEJYLpyhbOMHGS2oXohqlUCL6MVQgozPDyBoAgEeCIHQzpyhns0K+4LsReA8FYxsv2XiJIgl/hjZRhGYukQIAtAGC0G3sgpTtFFhJVrsQDyUrOI8TczHmeYwdfABDG2kSJiMDAFQHQVhWGGObIGU7BV5W1K7FO8gYWVjBwgo0SQTodQEMbdLBvG8AgGogCEsPY2wVpByIwNKSFOxKRB1J+jGUKxGhjQgAqGAQhKWBEcrjxBxWECAC3UFUlFxOyeVEiiQCGNqfoU06GFkDAKggEISPRsE4jxNzOFGECCwHsoJzOTGXEymCMDO0P0P56WgKZugDAMoTBGFJyRjncqKFFSUFIrDcyRjbeNHGiwRCJob201H+DM1QHrEiIABAYyAIiycprggUZBj3X+EwQg5BcgjSHQevp0g/hvZnaGMZtr8AAIB7QBA+zH9Lw0gKRKAHKNj+wrVsjT9D+zG0W3ZJBAD4MgjCorGinMMJdkGG2d8eqGDZGoIg9BTpx1B+OmgmAgBKCYLwfygYW3kxlxOdIsyL9wIYY06SOUnORgJFEmYd7aejzDpKB1cTAQAlBkH4L0FWsjkpj5NpiVO7FlAasvLv+BqEkIGmzDrKHxavAQCUgK8HoaxguyhZOdEhyqIoKRj7+ieiCa5moutqoh9Dm3WUP0PRJDQTAQBF8NGffYxRvijZBcnmS3sk+SDlv2kYtxHSU2SAXufHUAYKmokAgP/nW0HISYpDlByi7BQ1vEsuKBovK3ed/F0nYijXim46WOMUAIA0H4SCrAiywssKKylOUYL0A+jfWTGKhRV1JOmvp/11FKxxCoAv88ogJAjCVCkq2ymQJEEg5Bo1ryAkK1jBSMZYwZiXFEFWYAo8eAhRUSysYGERTZKBejqAoY3QRgTA93hlECKCMISGZzl5tesAGiEpSg4r5LACQ5GBel2gHpZzA8CHeGcQAlA+BFm56+SzWcFI/5uIsAkGAJoHQQjAvTDGTlF2ivJdJxGk1wUadHpoIAKgXRCEADyQpOBsVsjhRBNNhhgZPxhTA4AWQRACUAyMsUOUHSJroKlggy5Ir4M0BEBLIAgBKClOkm/ny3edfKiRCTYwsO8FANoAQQjAo5EUfMfB57BiiEEXYoQ4BMDrQRACUBqSomQ5eQsnQOsQAG8HY+EAKD1X6/Bqbn4uJ8LWlQB4KQhCAMpKUvDtfO661ekQJbVrAQA8MghCANyDk5RUK5tmZwVZUbsWAMAjgGuEALiTnZfyBTlYT4eb9bAqDQBeAVqEALgZxtjCiSl5znwBekoB8AIQhACUC0FWbtrYmzZWhJ5SADwbBCEA5ShfkFKsTisvql0IAOCBIAgBKF+ygm/ZuZs2VlSgaQiAJ4IgBKAi5AvS9TynHa4aAuB5IAgBqCCSgtNs7O18Toap9wB4EghCACpULiem5DpZSVa7EADAvyAIAahooqKkWtkcVlC7EAAAQhCEAKhCwfiOg0+zsbIC3aQAqAyCEADV2AXphtXJQTcpAKqCIARATbysXIeJhgCoSs0glGV5+PDhhY/Y7fYZM2b06dNn5syZdrtdrcIAqEgYo4x8PsvJq10IAD5KtSDcunXr66+/np6eXvjghg0bIiIiNmzYEB4evnHjRrVqA6CCYYyznQJcMgRAFartPlGtWrXo6OiZM2cWPnj06NF3332XYZhevXrNmjVr5MiRRT4XY5yVlXXx4sXCBytXrmwymcpSkiRJiqJQFFWWFwEPhzGWZVmSYF55EXIlyckL0WZGV+YN73me5zgO/pjLFcdxsiyTJFxgKkccxwmCwHFcqV+BYZhi/xupFoQNGza8/2BOTk5ERARCKCIiwmKxPOi5iqLcunXL4XAUPmgwGBiGKUtJEIQVQFEUURQhCB9EktA1QYjQUwaqTFnIsizLsvDHXK5cQUjAZlvlieM4nufL8tuu0+mKfYxn7UeIMXb9VWGMlQcvzEhRVKNGjVq3bu3ed6coSlEUvV7v3pcFLtev/vP90q+v/3MlMCS0a5/nOnTroXZFnstKEGaTIUBf+q+nKIrBwcEQhOWKJEmdTlfGjijwcCzL8jwfFBRUru/iWUEYGhqalZUVExOTnZ0dFhamdjnexG61ZmfdseRk59zNyr6TZbPm2m22fJvNbrPZrHn5dpsiy4IgsE4nwthms7qeZfbzoyj6v9v+tI4OCAyiadrPPyAoJCQwKDgwODgwKDgoJCQiOjo8MiokrFLpykvatnnaq2NE4d8p5Mnbt3bt2+/jr5fD2XSRFIxv5XOiwoQay9TJAQAoCU8JwjNnzjRo0KBFixbJyckjRoxITk5u1aqV2kV5ojsZt25cu5p+M/V2enpG+s3b6em309PuZGQYTMbQSuEhoWGhlcLDIsIDAoLCwiPia9T0Dwz0DwjyDwggKYphGKPJhBAKCPz39MqRny/L//ZS5tttsiTbrHmiKObbbNZcizUv93Z62sVzZ6x5eZm3bt3NvJ1vt4dHRoZHRcfExcVVq14lvnqV+Gpx1ar7BwY+pGaOZd99a2JBCrokbd3ctU+/9l26ls/n5PUwxnccvCgrkX4GtWsBQOM8JQgnTZq0b9++IUOGzJs3b/DgwTVr1nz77bfVLkplkihev/rP1csXr/z9941rV1NTrqWmXPUPCIyrVj22anx0bGyz1m0ioytHxcRGVq6s15fm5zLgETsceJ67m5mZmXEr7cb1mykpB5J23bx+7eb1FL3BWKtO3dp1H6+VULdmnbo1HnuMYf6/h/nM6ZN2q/X+Vzt6cH8Zg1CWpLTUGzRNR8dW0eSYBQsnigqu7G8goekMQLlROQj37dtX+Iafn9/cuXNVrUhNtry8v8/8eeHsmUvnzv5z6ULa9etRsbG1EurWeOyxTj17xVWrEVetutnPT8UK9XpDTFzVmLiqTVr+zwXaO7cz/rl44fL5c8d/ObhqyaKb169Vr1W7/hNN6zVuUv+JJo78/CJfjXU6ijxeQpvXrPri/Tl5FgtCKLJyzNT3P+zQvWdZXtAz2QUpzcbFBBgoyEIAyoentAh9E8eyf5/588zpU+f++P3CmT9zLTkJ9RrUqd+gTYdOI8dPqFarduF2lSeLiIqOiIp+8ukOrn/yPHfx7Nmzf5w+enDf4o8/yMvLLfJZ1WsnlPodN69dPfuN8QX/zLyVPmHEkMXrNrXt0KnUr+mxHKKUamWrBBjpMk+rAADcD4KwomVl3j59/Nifp347c/rUtcuXatWp2+CJph269Rg/bWZctera6N/T6w0NmzZr2LSZ6585d7PGD0v86+SJwo8JDgl9LnFoqd9ixcL59xzBGK9YtECTQYgQ4iQ51eqMCzRBFgLgdhCED2S3WjevXf3PpQshoWFPdezctHWbUr9U+s3U348fO3X86O+/Hc+32Rq3bNW4WYtuffsn1G9Qumt73iW0UvjyzTsWfvj+98u+cQ2ZCY+MlETphW4d23To1LZDpydatnqktq8g8Devp9x//NrlS24r2vPwsnLD6qwSYGQoLZwtAeA5COyFm2W/PXVq9RZPuX0eoSiKBfMIz/5++pUXBlqy7xbc23/o8Nmfzi/5cH9LTvaJI7/8dviX3375mef5pq2fbNKydZOWravVqu2zcwZEQUhNueYXEBgZHY0xvnju7JEDew/vS7525XKbpzt26tmrzTOdDEZjsa+DMX4iNoLn711sIiauavLps+VTu6fQkURcoKnYLMzKygoNDYV5hOXKarXCPMLy5ovzCD0Exnjaqy8XTkGE0KbvVrZq175Tj94PeaIkin+eOnHkwL5jBw/cunnjiZatWz7VfsjosTUeK/3FMC3RMUz12o85nU6EEEEQdeo3qFO/wcsT37Jk3z2QtGvj6hUzxo9r1e6Zjj16tu/c1fjg3xeCIJ58psOBpF33HG/bUZv9ooWJCr5hdcYFmvTQLgTATSAIi5By5fL1q//cf/xA0q4ig/DO7Ywj+/ceObj/xJFf4qpVb/NMp5kff1av0RMUDR9viYSEVeo/dHj/ocPzLJaDe3bv2LD+vclvtO/8bI/+g5q3earI66aT35t3/q8/72TcKjhSvfZj496aWoFVq0ZScCpkIQDuA7/URbA+YJSjLS+v4LarZ+9QctKh5J8y0tJatX+6Q9cesz+dHxIKC+KUXlBISN/nh/R9fogl++7urZu/eH9O9p073fsN6DXw+eq1Hyv8yJgqcbuOn167dMnZ30/TtO6Jlq0GDhvhLYNsyw6yEAA3giAsQpX4agRRxNXTuGrVJVE8eezogaSdPyf/ZDKZ2nfpOuX9Dxs2bQ4XY9wrJKzSkNFjh4wem3Ll8o5NP4zq1ysmrmr/ocM79+pdMLzIZDaPnjBJ3TpVBFkIgLvAV6gIYeERXXr1vecgTevSb6a2rVvjq4/nVq4St2Lrzl2//v7m7PeeaNEKUrD8VKtVe8L02fv//HvYuNd2b9n4TP2Ej2a8nXLlstp1eQRXFvLyA5enBwCUBLQIi/bOFwsNRuP2Detcm2CQJFmzTp3W7Z+Z9ckX4ZFRalfncyiafqZr92e6dr+VdnPLmtUj+vaoVafu0DGvtG7/jM8OwXWRFJxqZeMCjdAuBKDU4MtTBI5jjx86wDqdJrO5boNGY996+9D5fzYfODJ4xEuQguqqHFtl/LSZ+/44373fwAVz3+nRuumGVctZp1PtutQkKcpNGytAuxCA0oIW4f+TRPHYoYP7d20/tHdPvcZPdO7ZZ+bHnweFhKhdF7iXjmF6DhjUc8Cg078eW/PtkkUfzh3w4ojE0WN8dqSSKCuu64Uw1x6AUoAgRIqi/HHi191bNu3dub1q9erdnxsw+d0PSr3xHqhIrjUK0lNvrFi0oHvLJ3r0Gzj8lfGRlWPUrksFooLTbGyVQKNOE6v0AVCRfDoIU65c3rlpw87NPwQEBnd7rv8PyQfDo6Jhh3qvExNXddYnX4ydNOW7r7967ukn23fuOur1N6pWr6F2XRWNl5U0GwdrcwPwqHzx5DHnbtZ33ywe0KHtqP69ZVlavG7T1kPHRr42wTdbEppRKSLyzdnv/XTir5i4uCHdO097bUx66g21i6ponCSn2VnFC9dNBEBFPhSEgsDv27X9lRcGdm/V5NL5s2/Menf/n3+/MevdWgl11S4NuE1AUNCYN6f8dPKv2Liqgzq1nz3xtYy0NLWLqlCsKKfZOIhCAErOJ4Lw77/+nDt10tP1Hlu3fGmnHr0Pnrn0wcKvW7Rtp409j8D9/Pz9x056O+nEn2HhEf07tHlv8hvZWXfULqriOEQpW4QoBKCkvDIJJEma++b4edMmW3KyH/KwXEvOd98s7tO25RujXgwNq7Rx/+GV23b1Gjj4Ias5Ay0JCAp6beqM3b/+YTKbe7dp8dXH85wOh9pFVRCnjDMdvDfuLQNAxfPWIEy99s/apV/3at0s7cb1e+6VZfnw/r0Thg95tlnDi2f/mvrBR3tOnRnz5pTo2FhVqgXqCgoJeXP2e5sOHLl180bX5o3Wr1gqiaLaRVUEKy9lOQW1qwDAC3hlEBaw5GR/Oe+9gn9mpKV99fG8Tk/UW/Lph63atd/3x9/zvvq22ZNtfXzxEYAQioqJ+WDRN99s2PLznqRebZof/Gm32hVVhBxWyGYhCwEohtdPnzh17KgoCD8nJ21es/rCmb+6Pdd/yfpNMP4FFKl23Xrfbtx2/NDPH818e/2Kb6e896Hmt4q86xRokgjS69QuBADP5fVBaLPmdWhUt1qt2v1eeHHhmvUFWxMA8CCt2rXf+vOxDatWDO/TvUvvPq9Onh4YHKx2UeUFY3w7n6cQ4a/3+i87AOXEux5brnQAACAASURBVLtGEUJhlcJX7/hp5bZd3Z7rDykISoii6edHjd557BTGqHurJhtWLXetrq5JGONb+SwryWoXAoCH8sogLPjNomndR18v88E1RIBbBIWEzPjw0xVbdyZt3Ty4y9N/n/lL7YrKi4IRLMwNwIN4ZRAyDENSVMOmzVfvSGrUrIXa5QDvVjOhzuodP4149fVxz/ef+sroPItF7YrKhazgmzZW0m7DF4BS88ogpGl60Q/bvk/a17Bpc7VrARrRuWefncdOmcx+fZ5quWvzRrXLKReCrNy0cbAAGwD38MogRAjROhgFB9wsICho5sefL/xu/arFX44e0OdW2k21K3I/TpLT7RwkIQCFeWsQAlBOHm/UeMPeQ206dBrUsd3yL7+QZa2NMckXpMx8Tu0qAPAgEIQA3Iui6SGjx65PPvjr4UMDOz514ewZtStys1xOhIn2ABSAIASgaDFxVZdu+nHQ8FEvD+z79WcfyZKkdkXudNcpWHmfWGoOgGJBEALwQARB9BsybNsvx/8+81e/Z9peOn9W7YrcBmOckc85Ra11/AJQChCEABQjLDxi4Xfrx7z51ugBfT9/b7Zm1uzGGKXbWR4mFwKfB0EIQIl07tln475DF8+dGdKj8/V/rqhdjntICk6zsbICw0iBT4MgBKCkIivHfLthW5/BLwzt0WX98m+1sdufICs37SxEIfBlEIQAPAKCIAa8OGL93p+Ttm0ZPaD3ndsZalfkBqwoZ8CECuDDIAgBeGQxVeJW/bi7RZt2gzq13797p9rluIGNF+/CLr7AV0EQAlAaFE2PHD9x/sq1n70zc9aEV1mnU+2Kyuquk8/lIAuBL4IgBKD0GjRpuuXnYxjj/h20MLki0yE4YEIF8D0QhACUiclsfm/BV69Pm/nywOeWf/mFV+9riDFOs8GECuBzIAgBcIOO3Xut33Pw5+SfXh7UNzvrjtrllJ6C8U0r7NYEfAsEIQDuER0bu+rH3XXqNxzYqf2p40fVLqf0REVJs3MwoQL4DghCANyG1ukmzpjz3heL3ho94tv5n3pvN6lrQoU2JkoCUCx1gtBut8+YMaNPnz4zZ8602+2F7xo/fnzH/8yfP1+V8gAoi1btn9566NjJo0dG9euVczdL7XJKCSZUAN+hThBu2LAhIiJiw4YN4eHhGzf+/27gGOP09PQNGzbs2LFjx44d48aNU6U8AMooJKzSNxu2PtGi1cBO7f448ava5ZRSNgs7VACfQKvyrkePHn333XcZhunVq9esWbNGjhzpOp6TkyPL8vTp09PT0xs1ajRx4kSGYe5/OsY4Kyvr0qVLhQ9WrlzZZDKVpSpZlmVZpml1PhMfoSiK63NWu5CKMObNyY83ajxxxJChY159ceyrBEFU2FvLsixJEkmW9Uz3Zp4jxk9vouEaShF4nlcUhaIotQvRMv4/pX4FhmGK/eqp86Ofk5MTERGBEIqIiLBYLAXHLRZLzZo1x4wZEx4evmTJksWLF0+fPv3+pyuKkp6enp+fX/igXq+PjIwsS1WSJMmyXPbfDvAQGGNRFAXBV/rcmj3ZdvWOPZPHjPzr1InZny0w+/lXzPuKokjTtFui94ZFiDZSOrLiUtxbOJ1OnU4HV1LLFcdxPM/rdLpSvwJN08WerKgThBhj11cUY1x4QEGtWrU+/fRT1+1Ro0aNGjWqyKdTFNW4cePWrVu7typRFBVF0ev17n1ZUBjGGGNsNBrVLqTiVK1eY/1PBxbMe29o987zV62tlVC3At5UURSj0eiuNqidIqsGmmjIwv9FUZROpytjRxR4OJZleZ4PCgoq13dRp/UTGhqalZWFEMrOzg4LCys4fuXKlb///tt1W6fTleUsAADPQdH0GzPfGffW1OG9u/34w/dql/PIBFlJt7MKNH2ARqkThC1atEhOTsYYJycnt2rVCiF05swZhBDHcXPmzElNTRVFce3atW5v8wGgou79BqzYuvObzz+ZN22yLElql/NonDChAmiXOkE4ZMiQlJSUwYMH37hxIzExESE0adIkhFC9evUSExNnzpw5aNAgu93+oK5RALxU7br1Nu77Je3G9ZHP9bRk31W7nEdj46Vs1lcu7gKfQnjjKd7bU6dWb/EUXCOsGCRB6EiCIgmKIGiSoAiCIgmSIAgCkQgRBEH+dyFKwdj156RgJGMsKVhSsOuGqCiubdAxxk6n02w2q/l/SW0Y4xUL569bsXT+ijX1Gj9RHm/hcDhMJpPbx6kSBBHtpw/UwzULhBCyWq1wjbC8Vcw1QpgqABBCiCAImiR0JMFQpI4kdRShI0ma/Df53PIWoqwICmZFKVtg9TTFSbL3nYK5CUEQI8dPrPFYwisvDJwwY3bf54eoXVFJYYwz7BxNEmYd/HQA7YC/Zp9DEISOJHQUyZAEQ5HMvzfclXcPpKNIHYUMJFJ0RHiQScGYlRSnKDtF2SlJXtgxUVZPdeqyctuu8S8+f/n8ucnvfkB5yQRWjFC6nasaYNTTMH8OaATMmdM4miSNNBVk0IWb9DH+hupB5sdC/GoEm+MCjFF+hlAj48/QerrcU/B+JEGYdVQlExMXaKwd4hfjbwjQ02TF16Gq6rUf+yH555vXU0YP7GvNzVW7nJKSFZxm52CHCqAZ3nESCkqC/q9jk6EIhqIYkmBoUoWIe3QkQQTodQF6nYKxQ5StvGgXfKWN6B8YuHjdpsWffDiwU7tFa36o8ViC2hWViCAraTYuLtAEcwuBBkAQeh+KIGiK/O96HqEjSYYiGYrQQHOKJAh/hvZnaFnBuZyYy4miDzQ7CIJ4ZfLU+Jo1h/fpPuezBc907a52RSXCSvKtfDbGz1CRS8cBUB4gCD2Ua6BKwYgVmiRokmQokiYIygdOwimSCDMxoUZdvihbWMEpKd44vPmRdO3TL75GzfEvPn/p/Llxb73tFeli56U7BB/pZ1C7EADKBIKwohEIUSRBkSRFINeEBJokKYKgSESTJEX8+79e8TtY3oj/GoicpNxl+XxB1nYcJtRr8H3S/vEvPp+acvW9BV/p9V4QMBZOZCgqxAgTKoAXgyB0J5okaZKgCEQXRF2hwCOJf2fjqV2m9zHQZKy/kZXku04hX/CyNVkeSXhk1Hc798ye+Nrw3t2+XL0uLDxC7YqKl+ngaBIFwORC4LUgCB8ZRRB6mnR1Wur+u0rn6r1UuzSNM9JUlQDtxyHD6D9Y9M2KhfMHdmr/5ep1dRs0VLui4t3K52iSNOlgQgXwShCExSAJwkCTRppiKFJPkQxF0LBPk6pccWgXpDsOXpC1OZTGNeM+Nj5+zKDnvGL4DMYozc7C5ELgpSAIi6CnSJOOMtCUkSb1FAmX6zyQP0ObdVQOK+awvKLR64adevSuHBv32ovPp6ZcG/Hq62qXUwxZwTdtbNVAk46CM0XgZeBP9l+u+d2hDFkj2Fw92BzlZwg26Aw0BSnosUiCqGRiqgf7afjqVN2GjdbvOZC0ddPsN8ZLoqh2OcUQFXzTzspaPTEB2uXrQUggFMDQsQHGWiHmaJMukKEYOJ/1KjqSiPE3xAYYtdplHREVvWbXXkv23ZcHPWe3WtUupxi8BDsXAu+jzd+OktBTZLhJXzPEHBNg9Gd8bnEvjfFn6OrBpmCDNpuGRpPpy9XrGjdvObBTu9SUa2qXUwyHKN+yw86FwJv43DVCgiACGCrUqDfQvnsSoEkUQUT5Gcw6OtPBa28ZTNfqMxFRUUN7dPl8+eonWrRSu6KHsQtSpoOPgon2wEv4UBgQCAXpddWDTJX9jZCCWhWgp6sFmfwZbZ7h9Rsy7P0vF08YPiR5xza1aylGLifedcIuvsA7aPP34h4kQQQZdKFGRgdT/XwATRKxAcZcTrzj4LV3sarNMx1XbN05LrH/1UuXXpk8Ve1yHuauk6cIFGJk1C4EgGJov2Fk1lHxgcZIsx5S0KcEG3TxgUa9Fpv+NRPqfJ+0/1By0qwJr3r4UNI7TiGP8+gKAUDaDkKGImP8jXGBJpjk65v0NBUfaNbkCJrwyKjVO/ZkZ90Zm9g/325Xu5wHwhjfzuc0vAwQ0AZtBiFJEJVM+mpB5gC9T/T9ggchCRTlZ4jxN2pvVLDJbF743froyrHDe3e9eydT7XIeyLWjvVOU1S4EgAfSYBAaaCo+0FjJxEBXKHAJ0NPxQSa95maIUjT9zhcLO/bolfhsh2uXL6ldzgMpGKfZWBayEHgqTf00EAQRbNBVhb5QcB89RVbV6GjS0RMmTXrn/RF9e5w6dkTtWh5IxvimneUkrU1rAdqgnSCkSCLG3xDlZ4CGICgSRRAx/oZwk157y+Z16tH7k2+WvzFq2O4tm9Su5YFci5HyGl0nHXg1jQShWUdpePYYcBeCIMJMTKy/QXu7QjZ7su3Kbbvmz53z1cfz1K7lgSRFuWljtbpnCPBeWgjCEIOuSoBRp9GlJoHb+TF0VS1eMqzxWMLa3fv27945d+okRfbQC3KirKRanZCFwKN4928BgVCkWR/pZ9BeZxcoV65LhmbNdSFEREV/t3NPypUrU18ZzfOc2uUUTVQwZCHwKF4chBRBVAk0wboVoHQogqgSYAzR3CxD/4CAr9dv1hsMI3p3z7XkqF1O0SALgUfx1iCUeS4+yGTWwehQUHoEQpF+hkizXmP9CTqGeeeLRa2ffmZojy4ZaWlql1M0UcE3bawImxcCD+CVQYgVxXbzKmwcCNwixMjEBhg1NnyGIIhxb00dNHzUC906Xjx3Ru1yiibISqrVCVkIVOetWYI9dSwA8EZ+DB0XaNTearSJo15+e+6Howf0PXHkF7VrKdp/WQh9pEBN3hqEALiXgaaqBpmMmluKoVOP3ovW/DBl7EtJWzerXUvRBFm5kcfyEpzaAtVAEALwLx1JxgUa/TQ3lLRBk6bLNm///L1ZyxfOV7uWoomKkmpjOchCoBIIQgD+H0kQsQHGYIPWhiLXeCxh3U8Hdm3eOG/aZMUj+yElBadaYT1SoA4IQgD+B4FQlJ8+wqy1ldjCI6NWb0+6eO7stFdf9sxdDGWMU22sA/ZsAhUOghCAIoQamSjNZWFAUNC3m7Y58vPHJQ5wOhxql1MEBeM0Owv7F4IKBkEIQNGCDLoq/gaNbWRoMBjnr1xbuUrcsN5dLdl31S6nCApGaXYuF/a1BxUIghCABzIzdFXNTaugKGr2p/M79+g9uMszN6+nqF1OETDGmQ7+rlNQuxDgKyAIAXgY17QK7a3QPXL8xJffeGtYr66eOd0eY3zXyWfme+hyqUBjSvT1njx58p49e+x2e3lXA4AH0pFk1SCTSXPr+fV9fsjUDz4aPaDvyaOH1a6laBZOTLezGFaeAeWsREEoy/Lnn38+YMCAWbNmHTp0iGXZ8i4LAI/iWqFbexteduze6/Nlq958afjenT+qXUvRbLx008bKEIagPJXoi/3ZZ5/l5uYeO3bs8OHD8+bN0+l0rVq1at++fZMmTXQ6rS3eD0CRSIKI8TdkOniNjeNo2rrNiq07xwzudzs9/cWxr6pdThEconQ9zxkbYNReBzXwECU9ww0ODu7evXv37t2tVuvx48cPHz48Z84ck8nUpk2b9u3b169fn6K01nEEwD0Igog06ymCyGY1NY6jZkKd73bueXlAn5zsuxNnzPHASSOCrNzIc8YGGLXXQQ08waOdYWGM8/LybDYby7IYY5ZlL168OHny5OHDh1+8ePGRXsput8+YMaNPnz4zZ84sfPXxQccB8AQEQYSb9ZFmvdqFuFnl2CrfJ+3//ddjM8aPkyVPnMYnY5xqdWqsOQ48RImCUJKkM2fOLFmy5MUXXxw1atS6desqVao0bdq0LVu2LF26dM2aNdWrV//mm28e6Y03bNgQERGxYcOG8PDwjRs3FnscAM8RYmRiNDfFMDA4eOmm7Vl3bk8cOdQzd7fHCN3O57IcvNqFAK0pUddov379HA5HaGhoq1atWrVq1aBBg8KXBiMjIwcOHDht2rRHeuOjR4++++67DMP06tVr1qxZI0eOfPjxwjDGFy5c2L59e+GDTZo0CQsLe6Qa7sHzvCiKPA9fs3Iky7IgCBr4kPUIRRqoWw7eM3fTk2VZkiSSfLQuH73BsPC79TNff+Wlfr2/XL3OPzCwnMorizv5rJ3jo0wMpfb8Tp7nFUWBq0Lliv9PqV+BYZhie/tLFIQ9e/Zs3bp1zZo1H/S9qlat2rJlyx6puJycnIiICIRQRESExWIp9nhhiqIcP348IyOj8MG33367UaNGj1TDPViWFUWRprU2MtCjyLLsdDodHrm+VymEUSiTlSTPy0LXX3Lprva988WihfPeG9Kj86I1P4RHRbu9trITBOTg+AgDpVM1Cp1Op06nwzCitTxxHMfzfFlGZdI0XezJSol+9EeMGPHwBzAMExISUtK6EEIIYYxd31KMceHl8B90vDCKokaNGjVlypRHesdiOZ1OURQDPfIsWDNkWcYYP+pfiycLlpWbNlaQPWtLB0VRjEZjqYe9THlvXnRsldH9e3+9YWt8jZrurc1d8hAR7WdQcU4LRVE6nc5kMqlVgC9gWZbn+aCgoHJ9F9WGI4eGhmZlZSGEsrOzC3dpPug4AJ6Joch4LU63HzJ67CtTpr/Y89m/Tp1Uu5aiyRin27ksp9d3swPVqRaELVq0SE5OxhgnJye3atUKIXTmzJkijwPg4SiCqBJg0t6Ovj0HDHpv/qLXhg4+/vNBtWspGsY42ymkWlnJMy/VAi+hWhAOGTIkJSVl8ODBN27cSExMRAhNmjSpyOMAeD6SQLH+hmCD1taXeKpTl4XfrXv7ldG7NnvuEG6HKKXkOR2wqS8oLdXOYf38/ObOnVv4yL59+4o8DoBXcE23p0nyrrY66xo2bb7qx90vD+p753bGyNcmqF1O0SRFuWljw4xMJROjdi3A+8CSRQC4DUEQlUxMlJ/BAxdnKYtqtWp/n7R/1+aN86ZNftAQNtW5Nqy4aYNuUvDIIAgBcLNggy7Gz6D2JDc3C4+MWr096cLZM9NefVkSPXd5l3xBSslzwh734JFAEALgfv56Oi7ARD/ifHYPFxAUtHTTjzar9bWhg1mnU+1yHkhSlDQ7l5nPQcMQlJCmvqgAeA6jjqoaqLUNEwxG48LV60IrhY/o2z3XkqN2OQ+EMbZw4o08p6fN7wSeSVPfUgA8CkORcYFGI62pKYYUTb+34Ksnn+44uPPTaTeuq13Ow7CSnJIH63SD4kEQAlCOaJKMC9Tajr4EQbwyeeqLY155seezl86fVbuch1Ewvp3PpcEIGvBQEIQAlC/Xjr4hRq0N6x88cvS0eZ+8PPC5U8ePql1LMeyCdC3XYeWhaQiKBkEIQLlzTTGM0Nwuhh269fj462VvjHxx367txT9aVTLGt+xcup2DpiG4n6Z6bADwZKFGRkeRGXZO0dB+Bc3bPLVi685xif2z79wZPHK02uUUw8aLTlGKUnWpbuCBoEUIQMUJYOgqAUaNTauomVBn9fY93y//dt60yZ6/J5Gk4DQbe8vOytA0BP/R1BcSAM9n0uK0iujY2HVJ+y+cPTP9tTGePN2+gJWXruY5YEApcNHUtxEAr8BQZNUgre1W4Zpub83L8/Dp9gVkBd/O59LsMKAUQBACoAaKIGL9DSHa2q3CYDR+uer7ShGRw3p3tWTfVbucErHz0rU8Rw4reH6nLig/EIQAqIMgiEg/Q5SfQUuLklI0/e78RZ269xrc5ZnrV/9Ru5wSkRV8x8HfsLI8LEPjqyAIAVBTsEEXE2AktbVbxcjxE8dOmvJiz2f/PPmb2rWUlGsZmrtOAVqGPgiCEACV+TN0fJCJ0dbwmd6DEj9cvHTC8CG/7N2jdi0l5drIKSXPAZtX+BpNffcA8FJ6iowPMpl1mlqVtFW79ovW/DD7jfGb165Wu5ZHwMvKTRt708aKMIjGZ0AQAuARKIKoEmAM09YG6/UaP/Hdzj3Lv/xi4YdzvWs0Sr4gXct13HUK3lQ0KC0IQgA8BUEQ4Sa9xobPVImv9kPyzyePHp7+2hhRENQu5xEoGN918tfzHKwkq10LKF8QhAB4lmCDLj7IpNPQDveBwcHLt+7gOf7lQc/ZbTa1y3k0nKTcsLIZ+ZykwJhSzYIgBMDjGGgqPshk1mlnxj3D6D9durJug4ZDune6nZ6udjmPBmOcx4lXc53QU6pV2vmmAaAlNElWCTRm5nOaWQaMIIg3Z78XWil8SI9Ob70z9+6dOzzH1WvUuNmTbdUurURcPaU2XozyM5i0NawJQBAC4KEIhFy/ubfzOc0MYBzy8rijB/e/MfLFgiOt2rX/fPka/4AAFasqOV5Wblidfgwd5ae1TbV8GXSNAuDRAvW6qoHamWX4w8plv/7yc+Ejxw/9/PHMqWrVUzr5gnQt12kRZC3tqOXLNPLtAkDDDDQVH2jSxhZ6u7dsvP/gjz+sm/7a2HN//F7x9ZSagnGeoNzMF2ww+977QRAC4AUokojxN0SY9YSXL8aWlXn7/oOKIv/4w/fPP/vMqsULK76kshAVnG5jr+c5WRGmWHgxCEIAvANBEKFGJi7AqPPmfX0jo2MedJeiKF+8PyfzlpeNKUUIsZJ83erMyOdgRycv5cXfKAB8kElHefVibL0HJz7kXkkUTxw5XGHFuFceJ17NdWSzAlw49DoQhAB4GZokqgQYvbSb9LnEoS9NeJPWPXAjRpb1gk19H0TBOMvBX8t1WHnRu5aU83EQhAB4H1c3adUAo9eNJiUIYsL02bt//X3Q8FFFPiDtxvUKLsntRAXfsnM3bCyszeYtvOxbBAAoYNRRVQNNfl44mjQmruqU9+fF16x1z/HHGzY++NPuBXPf1UBzihXlG1b2lp0TYb9fjwdBCIAXo0ki1t8Q5WfwuqVJGUa/fMuOTj16uzp4KYrqN2TY0k0/rttz4I8Tv04YMYR1enEfqQvG2MqLV3MdmfmcDONoPJj3nUsCAAojCCLYoDPpqFt2jvOqvriIqOgvVnzndDgyb6VXjovT6w2u4yu27vxg2uTnn+2w+PuNUTEPHGXqLTBCFk60CXKYURds0HnjlV2vhjEu9jOHFiEAWqCnyPhAU4gX/s6azOZqtWoXpCBCiKLpmR9/3jdxSGK3jt41y/4hJEXJdPDX8pw2HibgV5xsVuBL0DUNQQiARhAEivQzxPobaG+eaFhgyOixsz7+fFzigJ9+3KJ2LW4jyEq6nb2e54RxNBXgjoPPcvAIFX9qqIUvDACggB9DVwsymmkvaxcWqV3nZ5dv2f7Fu7O9boP7h2Ml+XqeM9Xq5CUYR1MuMEK37GwOW9KNoCEIAdAamiTDdESUWU953RCa+9Sq8/jG/Yf/OPHrK4kD8u12tctxJ4cop+Q5bsN6NO4mY3zT6rQ+Shc0BCEA2hSop+MDTRrYOS8oJGTZph8rx8UN6dYp/Waq2uW4E0YolxOv5jqyHLysoSaviiQFp1qdjkdc+hWCEADNYiiyaqApwqwnvW0EzT0omp4+79PnR41OfLbDiSO/qF2OmykYZ7PC1VzHXScPy7OVBSvJ1/Mc3KN3OEMQAqBxoUYmPshkpL2+adh/6PCPliydPGbUDyuXqV2L+8kKvusUruY6LZwIcVgKVl5MtbJiqfqZIQgB0D49RcYHmbxx3v09WrRtt3b33g0rl8+a8Kog8GqX436SomTmc9dyHTmweHeJYYzvOoWM/NK3pyEIAfAVwQZdfJDZ6OVXDWOrxq/bcyDfbk98tsPtdO/bs6kkRAXfcfDXch25nAhh+HAyxul27q6TL8u4YnWC0G63z5gxo0+fPjNnzrT/70iw8ePHd/zP/PnzVSkPAK3SU2TVQFO4We/VFw2NJtNny1Z16dV3YKd2J49667ZNxRIVfDufS8l15EEcPgAnKdfznHahrGsUqBOEGzZsiIiI2LBhQ3h4+MaNGwuOY4zT09M3bNiwY8eOHTt2jBs3TpXyANAwAqEwI1M9yGzWefEKiwRBjBw/8YNFX08aPUKTlwwL8LKSkc9dtUBn6f/AGOewwg2rU3DHmubqfBOOHj367rvvMgzTq1evWbNmjRw50nU8JydHluXp06enp6c3atRo4sSJDMPc/3SM8cWLF3fu3Fn4YOPGjcPCwspSFc/zoijyvAYvPHgOWZYFQYAPuby5PmSKelgvaKSBzCOouyyPS7D0hmdq+VT71Tt+emPk0L9On5z18Rd6g6H457iPJEkURZEVso6PLMsZophlJ0IMVABDe/sw4JLj/1P4oKQod5yio2SjQ0vSZapOEObk5ERERCCEIiIiLBZLwXGLxVKzZs0xY8aEh4cvWbJk8eLF06dPv//piqIcPXo0LS2t8MFp06Y1atSoLFWxLCuKIk178Wmy55Nl2el0OhwOtQvROKfTqdfrHx6ECCEdQpUonC0onOytTY3IyjGrtv/04Yy3E7t2+PibFTFxVSvsrUVRVBSlIpe8ERBy8ogiUKCO9KMJygfikOM4nud1hXZyZmV8l5dL/gerKApCxXwRKu5Hf/jw4enp6Qihffv2FSwHjjFWlP9P9Vq1an366aeu26NGjRo1quitOymKeumll6ZMmeLeCp1OpyiKgYGB7n1ZUJgsyxjjkJAQtQvROEmSQkJCig1Cl3CMbYKUme+tc7qNRuO8RV9v+m7l8F5d53y2oEP3nhXzviRJkiRZ+De6wrAICYgIZOgwk5729qHAD8WyLM/zQUFBCCEF4ywHb+MlxvAIf6gl+RZUXBCuXLmy4HZoaGhWVlZMTEx2dnbh/swrV66Ioli3bl2EkE6nU+UvDABfQxBEoF5noqlMB1/2cQdq6T90eK06j78x6sWL586Omzy1hCcB3kvG2MKJebwUqKdDjIye0vgUADsvZTr5ctrlWJ3PrkWLFsnJyRjj5OTkVq1aIYTOnDmDEOI4bs6cOampqaIorl27tnXr1qqUB4AP0lFkbIAxNsDovS2MBk2a2pBQ4QAAG/xJREFUbtr/y1+nT44e0Cfnbpba5VQEBeNcTkzJc6ZanXZB0tLS5AVkjDLyuTQ7W04piNQKwiFDhqSkpAwePPjGjRuJiYkIoUmTJiGE6tWrl5iYOHPmzEGDBtnt9gd1jQIAyok/Q1cLMgfqvbUzJiSs0rLN21s91f659k/++svPapdTQTDGDlFOs7EpVjZXQwvTYITyeDndKeVxYrm+EeGNZxBTpkwJCQmBa4TeSJblnJyc8PBwtQvRuKysrNDQ0LJ0DzpEKTOfL8mmpp7p5NHDb48b/dwLL46dNKWcBnbyPK/WNcKHIwkiUE8HG3QGr11XD2NsF6Qsp+DkBUmSDGUYD1wtyGygi/kD0Hi3MgCgdMw6Oj7IFGL0vi3vXZo92XZ98sETR355JXFAriVH7XIqVEF/6fU8Zx7vfQ3EfEG6bnWm2zm3zBEsCQhCAEDRSIKINBuqBhq9tGERERW9ctuumnXq9nu6zanjR9UuRwWsJGfYuSsWR0Y+5xBlz+//swvSDavzpo0txQ4SZQFz5gAAD2OkqfhAYzYreuPKJhRNvzHzndbtnp4yZlTH7j3femcu7Xk9meVNwTiPE/M4kSaJQL0uQE972lYkMsZWTrRwYoU1Ae8BLUIAQDEIgqhk8uK9nJq3eWrzz0dTU64N6dFZY1v7PhJJwTmscD3P+Y8lP9PBOwRJ9fMaTpLvOPiruY5MB69WCiIIQgBACbn2cor0zm1+Q0LDFq/b1KFrj+e7PHMgaZfa5ahMVLCFFVJt7JWc/Ft2zsqL5TczoUi8JN918tdyHSl5zhxWkEu1iaAbQdcoAOARhBgZfz2dYeccoqx2LY+GJMmR4yc2afXk5DEjD+/f+/b7HxpNJrWLUpmMsZUXrbyIEGIo0qyjTDrKpKN05TDOVsbYKcqsKNsFydNGI0OLEADwaHQkWSXAGO1v8Ma1Lhs0abr10HGCIHq3af7nyd/ULseDCLKSy4m37Nw/FsdlS36q1XnHwVt5kZPk0rXYZAWzomzlxcx87lqe43JOfpqNzWYFT0tBBC1CAEApEAQRpNf56ejbDs7Oe9mqbGY/vzmfLdi3a/vrw14YOGzkmDcna349tkclK9ihyIUb/RRJ6EiSJgkdSVAkQSCCQIgiEUEQGCMFY4yRgrCCkawogowFWfGipWshCAEApUSTRKy/0cZItx2c6pd5HlXH7r3qN24y7bWxw3p1nffVNxW5bYU3khUsK17WGV5y0DUKACiTAD1dPcgcwHjfWXVEdOWlm37s2L3n4M5Pb1i13POn2YFyAkEIACgrmiRiAowx/gbK2xbsJkly6JhX1u05sHvLptEDemfeSle7IqACCEIAgHsE6HXVg0wBeu9rGsZWjV+5bVeLNu36P9N203cri38C0BYIQgCA29AkGeNvjPHCAaUUTY8cP3HZlu3rVywblzjgzu0MtSsCFQeCEADgZgF6XfVgs78XXjWsXbfepv2/PNG8Zb+n26z5domieNxAf1AeIAgBAO5Hk0SMvyHKz+B1y9C4moYrt+1K2rppWK+uN65dVbsiUO4gCAEA5YIgiGCDrlqQyajzvll6NR5LWLt73zNdu7/QtePqJYtkycvmSoJHAkEIAChHDEVWDTSFm/Ret68hRVEvjn11ffLBIwf2DejY7uzvp9WuCJQXCEIAQPkiEAozMVUDjAzlfT84sVXjl23e/trb0yeOHDr1ldF5FovaFQH3876/SwCANzLqqPggU7DBK7cDbNf52W2HjhuMpj5PtUzatlntcoCbQRACACoIRRBRfobKXjjvHiEUEBQ0+9P5X6xYs/zL+SP69rh66aLaFQG3gSAEAFSoQL2uWpDZ5IUjaBBCDZs223TgcK+Bz4/q1+v9KW/m5UJPqRZAEAIAKpqOJOICTZVMerULKQ2SJHsNHPzj4d8Iguj39JPb1q+F6YbeDoIQAKACAqFKJiYu0ER7YTcpQigoJGT6h58u/O6HzWtWD+rU7tSxI2pXBEoPghAAoBqzjqoWZDJ7ZzcpQiihXv3vk/aNe2vqzAmvjurX65+LF9SuCJQGBCEAQE00SVYJMHrjRMMC7To/u+PYydbtnxnRp/vcqZNyLTlqVwQeDQQhAEBlBEGEmZi4AKOO9NZfJIbRD39l/M7jp0mC7NGyyeJP5jny89UuCpSUt/7ZAQA0xqSj4oNMfl64VHeBoJCQqR98vOnAkazMzC5NGyz/8guOY9UuChQPghAA4Clokoj1N4SZGO/tJkUIRcXEzPlswcptu87+cbpbiyc2fbdSFAS1iwIPA0EIAPAgBEGEm/Sx3jnpvrAajyUsWPX9/BVr9u3a0bVFox9WLhMEXu2iQNEgCAEAHsePoeMDvXLbinvUa/zEtxu3Lfxu/cmjRzo2ehw6Sz0TBCEAwBMxFFk1wBTknWuT3uOxx+t/vnz1kvWbz/x+6tmmDZd/+YXdZlO7KPD/IAgBAB6KIFC0nyHKz+DdnaT/qVO/wZer132zceu1K5e6NK3/yezpmbfS1S4KIARBCADwcMEGXdUgk87LLxkWqJVQ94NF32z9+RhBEM89/eTUV0ZfPHdG7aJ8HQQhAMDTGWkq3psXoLlfRHTlSXPe33PqbM2Euq8NHZzYtWPS1s0wuFQtEIQAAC9Ak2SVQFOYiVG7EHfyDwgY8erryafPDX9l/Jbvv+vY+PGFH869cztD7bp8DgQhAMA7EAiFm/SV/Q3ePMmwCBRFdejWY/mWHSu27rTm5fZ5quUrLww8kLRLEkW1S/MVEIQAAG8SqNfFB5q9dzG2h6hWq/aMDz/9+dzlngMGrV+x9KnHa8558/XLf59Tuy7t0+AfEwBA2ww06dV7VjycXm/o3LPPss3b1+85GBwSOnZw//7PtFn51ZcaGGKab7dXZDNXFIRff/nZ4XAU+0gIQgCA96FIQnuXDO9RJb7a69Nn7f/rwlvvzL1x7Wq/p9sM7dHlh5XLLNl373mkLS/PkwfaYIy3rV/b+Yl6zatVblI1asyg567/c6X83i7XkrN9w/o3Rr7Ypk71hR++n2uxFPsUAmNcfgWVkylTpoSEhEyZMsW9L+t0OkVRDAwMdO/LgsJkWc7JyQkPD1e7EI3LysoKDQ2lKG22mQrL48TbDk6VnzGe50mS1OkqaMq/KAjHfj6QtG3zkQP7atROePrZbs907f77b8cXfzIvIy2NoummrZ6c8v68Wgl1K6aeklv+5Refvze78JGAoKDNB49Wjq1S7HMlSZIkyWAwPPxhsiyf//OP44cOHD144Nrli83btnuqY+d2nbqEhFWqFmQ20MU0+bx4oXcAAAgy6Aw0mW7nBFlRu5bypWOYdp2fbdf5WVEQTh47ciBpV/9n2ubb/12hRpak3w4feuH/2rv34KiqPA/g5/bte/uVpJN0IORFSEMIIwGSiIAgimAcGZgl1FQ5KmoZ01gqFgtTrKzyWB+jjsCwuK5BA7WMNb7QWUqQqCzCUDxnnBBJAqIBCSQNCUkIoTvp173n3v2jIWbygEC6+3b3/X6KP5pDP37VCf3tc+55/Krwsz0HMq0jlS21O5/PW7ZhXY9GR3v7n999599fe3OQT153+tQ/Dh04vO+v3x7an5KWMe3emc8tf/H2O6fyvO6mngdBCACRTa9lR5gNdqfHJVClawkFjuen3Ttr8l13f/X5//b4p86Ojrf/8Pt1ZVsUKaxPDXV1HU5n7/bvq29lGwFZls/U/viPwwcrDh+qOHKI47k7pk2/b86vV635o2VI3+NMlFISzj1CSqnNZtuy5eefmdPpfPPNN0+cOJGbm/v888/HxsYqWB4ARAqtRpNpNra4vK2u8L1UFlgX7A2O9vbe7XvKv7hnbHb+pCm33zm1YPKdY8bmslolP+c5vu/ruLxuoJ02p+PK0SOHqiq+rT5aUV1ZEWeOn3jntOn33f+71a+kZmT09yh7/bn1L68+vG/P/32zZ8odE6//Eoq9Qdu2bdu7d6/d/k/zoLZu3ZqcnLx69er33nvv008/LSkpUao8AIgs/lWGnEbT1OGJvIkPN4/vJ2DG337HH0o3Hf3b4cq/H/nLn//UdN5+24T8sRPybhufd9uEvOFZVk1oV55kjMhKzci40NDQo33SXdP7e0jLxaYfjtf8eLzmZE31yZqq1ubmsXn5Eybe8dsnSl57e2N/Pb/ums7bHyqccbntEiHk9OlT4RuEVqs1NTV11apV3RsPHjz4yiuv8Dw/b9681atX9xeEsiyfPHly586d3RsLCgosFstgSvJ6vYIgeL04MyyIKKU+nw9vcrD532Q1TJbpwciQVKP2QodPDP78GVEUWZYNca50GTIsJXPkqHM/ne7RPumuu4empMye/5vZ839DCLnSfvnEd5Xf11Tv+uLzDa+9fOVyW87YcdbROdbs0dbROVnZo4elpgW71BffWLek+NHuCyeyf3Hbw08+RSmVJOli44W6U7V1p0/Vnfrx7OnTP9X+SEVxzLjxY3LH3XP/A08uXjp8RJbRZOp6LKU3HgDfUvq2PwUJIQP5RVAsCPPy8no3Xrp0KTk5mRCSnJzc1v+cV0mSDh48WF9f373xxRdfLCgoGExJbrdbEAStosMIUY9S6nK5BrKyBwbD5XLpdDoVBqFfEkuavdRDg5uFgiBIkqTgxPvlr76x5IkFvm4LJ0bmjPltcUn3FoPRNHHa9InTrna/HO3ttd+fOPvTqTOnav/69Zd1p091djhTM4anpmekZAxPSUtPSU8fkjwswZJkGTK0e/wMxuTp92z8+C/vl/73mdofOJ4flpY+NCXlX59Y0GhvaDpvj7ckjRg5asTIUVnZOTMemJM1KntI8rCux4qi6P/2fFOvWFN5tOu2LN34BxTSD/3i4mL/WOju3bv7vIMsywzD+G9IUr9zwFiWXbhwIZZPRCJKqSzLiYmJShcS5URRTExMVG0QEkKSCGnq8Fz2BHH5tkajCeXyid7uKfzl5wf+vmnDH0/WVMfGxU29d+bjTy/S6w3XeYjBYEhOSZk+676ulg6n83z92QsNDecb6s/Xnzt+rLL1YlNrc/OllmaJSglJSYkWS0yc2WA0Go2mmLg4U0xM10VHo9HIcbxIxc6ODkKIKAiuzk4qih1Op9NxxXGlvdPp7HA62y+3meMTLElDRmRnJw0ZmpyalpqekTY8MzVjeGpGhk53vaURA1w+0UP3H4qGvfGOfCENwu7zYvpksViam5vT09NbW1uTkpJCUxUARB+GkJQYvV7LRvclw0zryN//V+lgniEmNjZn7LicseN6/5PH7b7U2tLe1tbhuOJ2uVyuTn+wSdcGJ10ul8vlYjWs2RxPCNFynNFk0rBsTGxsnDk+Ns5sio2NjYtLsCSF+DvZxDunVRw5NPD7h8swYFVV1YQJE6ZMmbJr164nn3xy165dU6dOVbooAIhsCXpOr9U0ONziAMbHoAe9wZCWMXwgy97DzeNPLyrf9lnD2TpCCKu5cQaHyxZry5YtI4Q89thjZ86cefjhh8+ePbtgwQKliwKAiGfQstZ4o4kPly/9EALmhITPvtlfvGjx6Ntys3Nybnh/bLH2M1wjDAFssRYa6tlibYBkQgK+yjDEW6wF1oWGhv3f7Gq5eNGaPXrWnLnXv7KooFu7RtgdtlgDACDk2ipDPcte6PBIEfjtP7A+/p9N6/5jpcfj9v81LWP4f275YOyEPmbyq0S4DI0CAARbnE47wmzgWVV/7p2sqXr9hX/rSkFCyPmG+t+VPE5FUcGqlKXqXwgAUBu9ls2KN5p1ETmeGRBffb6t9+I0+7mz1ZUVitQTDhCEAKAuLMOkxepTYvQ3Xl8WjVqbL/bZfqm5OcSVhA8EIQCoUYKeGxFvVOEwaUpa3xtVp6T3u4F11FPdLwEAgJ9By44wG2NUtrLiXx58qPeJEGNyx/9i/ARF6gkHCEIAUC+thsmI1SebdBpGLQOlmdaR6ze/3/0Mh/G3T3zrTx8otXt4OFDXVyEAgB4YhrEYeBOntTvdUX/Mvd/M2XMm3XX30b8dbrnYZM0enT9pCqOa7wF9QhACABC9VmONNzZ3etuCuU93+IiJjb2n8JdKVxEu1NsXBgDoTsMww2L0qTF69QyTgh+CEADgZ/F6bmSCycRhtExFEIQAAP+E0zDD4/QpMXoNeobqgCAEAOiJYZgEPZc1gP2aIQrgZwwA0Dcdq8mKNw0x8ugZRjcEIQBAvxhChhh11gSTgcOZVlELQQgAcAM6VpNlNqZgQmmUQhACAAxIgp6zxhtN6BpGHQQhAMBA8awm02zMiFP7oYZRBmtlAABuTiyvNXHaetHnpEqXAoGAIAQAuGkahiTwmnhW65A0HT71nu0eHdC7BwC4RbyGGR5nyDQb9VpcOIxgCEIAgEExcaw13pgeq8eFwwiFoVEAgACI03GxPHfJ42tz+0RJVrocuAkIQgCAwGAYkmTgE/XcZY/Q5hYESRWnG0YBBCEAQCBpGMZi4BP03BWv2OryCugdhj0EIQBA4GkYJkHPmXXaK16hzS14KXqH4QtBCAAQLBqGSdDzCXreJdA2j+D0ibKMDmLYQRACAASdkWONHOuj0mWP0O4VKMZLwwmCEAAgRHhWk2zSDTXyLlG67BGcXgF5GA4QhAAAIcUwjIljTRwrmnQOr+DwiS4Be7UpCUEIAKAMrYZJNPCJBp5KcocgOn20wydKuIgYcghCAACFsRrGrOPMOo7KcqdP7BSoS5S8IrqJIYIgBAAIFyzDxOm4OB1HCBEkySVQ/x+fJGO6afAgCAEAwhGn0Zh1GrOOI4RIsuwRJY8ouUXqodRHMYAaSAhCAIBwp2EY/wIMQjh/i49KPir5qOyTJIFKgiSJkow9Tm8NghAAIPLwrKb3YRcyIaIkU0miMhEliUqyRIh/VFWSZUkmMiGyLF+nO8lqrj4nQ4iGudqoYRiGudrIEOZaI7na2kvXOK5EZEIIlWRJJpIsU1mWZNlfW1j1aBGEAABRgiGE0zCcxn84YlgfkUhlWZRkKsmiJAmSLEiyj/q7ttfL6SBBEAIAQKixDMOyDGFJ78AWJNkrUi+VfFR2uqlb6rvfGUAIQgAACCOchuF4bQwhhJB4VvJ4ZFOcyS1Sryi5ReoOwrgqghAAAMIXwzBXL4jqrrZ4ReoSJbdIXQL1BeJYDwQhAABEEp2W1WnZBMIRQnxU6hRop0BdgnjLk2YRhAAAEKn8ncUEPUcIcQu0U6AdgugWpZvaf0CxIKSU2my2LVu2dG9cvHjxyZMn/bfnzJmzZMkSJUoDAIDIY+BYA8cmEV6UZJcgdgjU6RMH8kBlgnDbtm179+612+3dG2VZttvtW7duNRgMhBCWDeu5vwAAEJ60mqs71fnXTd74/iGoqTer1Zqamrpq1arujZcuXaKUrlixwm635+fnL126lOf5Ph8uy/IPP/zw5Zdfdm/My8uzWCyDqcrr9QqC4PV6B/MkcH2UUp/Phzc52PxvMr5NBpXX65UkCW9yUHmvueVn6C9HulMmCPPy8no3trW1ZWdnP/3000OHDt24cWNpaemKFSv6fLgkSfv376+rq+veuHLlyoKCgsFU5Xa7BUHQanHdNIgopS6Xq7OzU+lCopzL5dLpdPiMDiqXy8VxHPbCDiqPx+P1ejmOu+Vn0Gq1N/yPELoP/eLiYv9Y6O7du/u8w+jRo9etW+e/bbPZbDZbf0/FsuxTTz21fPnywFbocrkEQTCbzYF9WuiOUirLcmJiotKFRDlRFBMTExGEQcWyLMdxRqNR6UKimdvt9nq98fHxQX2V0AVhj3kxvdXW1gqCMHbsWEIIx3GD+QoAAAAwQD33bFVEVVUVIcTj8bz00kvnzp0TBOGDDz6YNm1aiMs4duxYj+uOEHCXL18uKytTuoro9+677165ckXpKqJceXm5/7MLgqempuaLL74I9quERRAuW7aMEDJu3LgFCxasWrXqoYcecjqd1xkaDZJjx4599dVXIX5RtWlra9u8ebPSVUS/srKy9vZ2pauIcuXl5dXV1UpXEeVqamp27twZ7FdRcmJI18VC/w2GYYqKioqKihQsCQAA1CZSZ0g6nc6mpqbAPqfD4XC73QF/WuiutbWVUoo3OdgkSWppacE8jqDyeDwOhwO/zEHlcDg8Hs9g3uSkpKQbrgVgInHu74EDB+bPnx/wdQ6iKEqSNJBFJ3DLZFn2eDz+PRMgeNxut16v7+/cVAgI/0pNLLgKKkqpKIo6ne7Gd+3Hnj17/HMwryMigxAAACBQwmKyDAAAgFIQhAAAoGoIQgAAUDUEIQAAqBqC8CpKaXFxsdJVRLMDBw7YbLaioqKlS5f2OIELAuXbb78tKSkpKioqKSmpqKhQupxoVldXN3fuXKWriGaLFy8uvGbDhg1BfS1M/CWkn/MRIYAaGxvXrl27Zs2arKys7du3r1279q233lK6qGhDKX399ddXr16dl5d38ODBdevWffLJJ0oXFZ06OjrWrFmD08SCJ8TH06JHSAghVqv10UcfVbqKaNbY2Dhz5swxY8bodLr777+/oaFB6YqiEKX0hRdeyM/P93g8HMeZTCalK4pOkiStWbPmkUceUbqQaNZ1PO2DDz74xhtvBPvgNvQICennfEQIoIKCAv9pkZTS999/f8aMGUpXFIV4np88ebLb7Z43bx4hJNijSar18ccfp6enT58+XelCotnAj6cNCPQIIXQqKioWLVpkMpkWLVqkdC1Ry2Aw7Nixo7i4uLS0VOlaolBlZeV3331XUlKidCFRzn887ahRo+Li4mw2W7AveCMIIRRkWS4rK/vwww9Xrlxps9lwYGwwNDY2btq0iRBiMBhmz55dX1+vdEVRqLKysqqq6oEHHigsLCSEFBYWHj9+XOmiolBtbe2JEyf8t0NwPC2CEEKhurr6yJEjr776qsVicbvdbrdb6YqikMViKS8vr6mpkWV53759o0aNUrqiKGSz2XZfQwjZvXt3bm6u0kVFoRAfT4trhBAKVVVVdrt9/vz5XS1dh3BBoPA8//LLL5eWljY1NWVkZPiP+QSIRF3H03Z2dk6aNOm5554L6sth020AAFA1DI0CAICqIQgBAEDVEIQAAKBqCEIAAFA1BCEAAKgaghAAAFQNQQgAAKqGIAQAAFVDEAIAgKohCAEAQNUQhAAR7Pjx44WFhfv27fP/9dy5c7Nnz96xY4eiRQFEGAQhQATLzc2dN2/eO++843A4JEnasGFDbm7u3Llzla4LIJJg022AyOZ2uxcuXJiXl5eTk1NWVrZ58+bk5GSliwKIJAhCgIhXWVm5fPlynuefffbZOXPmKF0OQITB0ChAxMvPz8/MzGQYZsaMGUrXAhB5EIQAEW/Xrl1NTU06nW7Lli1K1wIQeRCEAJGtpaVl48aNxcXFzzzzzPbt20+cOKF0RQARBkEIEMFkWV6/fn1aWlpRUdGsWbPy8/PXr1/v8/mUrgsgkiAIASLY119/ffTo0aVLl7IsyzDMkiVLGhsbP/roI6XrAogkmDUKAACqhh4hAACoGoIQAABUDUEIAACqhiAEAABVQxACAICqIQgBAEDVEIQAAKBqCEIAAFA1BCEAAKja/wMSMOcFHY0BKwAAAABJRU5ErkJggg==" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Plots #Load Plots.jl package\n", "\n", "plot(gp; xlabel=\"x\", ylabel=\"y\", title=\"Gaussian process\", legend=false, fmt=:png) # Plot the GP" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The hyperparameters are optimized using the [Optim.jl](https://github.com/JuliaOpt/Optim.jl) package. This offers users a range of optimization algorithms which can be applied to estimate the hyperparameters using type II maximum likelihood estimation. Gradients are available for all mean and kernel functions used in the package and therefore it is recommended that the user utilizes gradient based optimization techniques. As a default, the `optimize!` function uses the `L-BFGS` solver, however, alternative solvers can be applied. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " * Status: failure (objective increased between iterations) (line search failed)\n", "\n", " * Candidate solution\n", " Minimizer: [-2.99e+00, 4.64e-01, -2.29e-01]\n", " Minimum: -3.275745e+00\n", "\n", " * Found with\n", " Algorithm: Conjugate Gradient\n", " Initial Point: [-1.00e+00, 0.00e+00, 0.00e+00]\n", "\n", " * Convergence measures\n", " |x - x'| = 4.62e-09 ≰ 0.0e+00\n", " |x - x'|/|x'| = 1.54e-09 ≰ 0.0e+00\n", " |f(x) - f(x')| = 1.35e-13 ≰ 0.0e+00\n", " |f(x) - f(x')|/|f(x')| = 4.12e-14 ≰ 0.0e+00\n", " |g(x)| = 5.69e-08 ≰ 1.0e-08\n", "\n", " * Work counters\n", " Seconds run: 0 (vs limit Inf)\n", " Iterations: 27\n", " f(x) calls: 66\n", " ∇f(x) calls: 41\n" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Optim\n", "optimize!(gp; method=ConjugateGradient()) # Optimise the hyperparameters" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(gp; legend=false, fmt=:png) #Plot the GP after the hyperparameters have been optimised " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default all hyperparameters or optimized. But the function `optimize!` allows also to force hyperparameters to remain constant or optimize them in a box." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " * Status: success\n", "\n", " * Candidate solution\n", " Minimizer: [-2.99e+00, 4.64e-01, -2.29e-01]\n", " Minimum: -3.275745e+00\n", "\n", " * Found with\n", " Algorithm: Fminbox with L-BFGS\n", " Initial Point: [-2.99e+00, 4.64e-01, -2.29e-01]\n", "\n", " * Convergence measures\n", " |x - x'| = 0.00e+00 ≤ 0.0e+00\n", " |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00\n", " |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00\n", " |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00\n", " |g(x)| = 6.32e-08 ≰ 1.0e-08\n", "\n", " * Work counters\n", " Seconds run: 1 (vs limit Inf)\n", " Iterations: 1\n", " f(x) calls: 3\n", " ∇f(x) calls: 3\n" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "optimize!(gp; kern = false) # Don't optimize kernel hyperparameters\n", "optimize!(gp; kernbounds = [[-1, -1], [1, 1]]) # Optimize the kernel parameters in a box with lower bounds [-1, -1] and upper bounds [1, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC, specifically a Hamiltonian Monte Carlo in this instance, can be run on the GPE hyperparameters through the `mcmc` function. Priors for hyperparameters of the mean and kernel parameters can be set through the `set_priors!` function. The log noise parameter of the GPE is a Uniform(0,1) distribution and currently can't be changed." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of iterations = 5000, Thinning = 1, Burn-in = 1 \n", "Step size = 0.100000, Average number of leapfrog steps = 10.131000 \n", "Number of function calls: 50656\n", "Acceptance rate: 0.975200 \n", " 2.699465 seconds (3.62 M allocations: 218.559 MiB, 2.83% gc time)\n" ] } ], "source": [ "using Distributions\n", "\n", "set_priors!(kern, [Normal(), Normal()]) # Uniform(0,1) distribution assumed by default if priors not specified\n", "@time chain = mcmc(gp, nIter=5000);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is additional support for inference to be done in a fully Bayesian fashion through the use of an [elliptical slice sampler](http://proceedings.mlr.press/v9/murray10a/murray10a.pdf). While a HMC sampler can often be shown to be highly efficient, the sampler's efficiency can be highly dependent upon good initial choice of the sampler's hyperparameters. Conversely, ESS has no free parameters and is designed to be highly efficient in tightly correlated Gaussian posteriors: a geometry commonly found in Gaussian process models. Currently, inference via an ESS is only supported when the likelihood is Gaussian. \n", "\n", "For advice on how to fit Gaussian processes with non-Gaussian data, see our notebook on [Poisson regression](https://github.com/STOR-i/GaussianProcesses.jl/blob/master/notebooks/Poisson%20regression.ipynb) or [classification](https://github.com/STOR-i/GaussianProcesses.jl/blob/master/notebooks/Classification.ipynb)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of iterations = 5000, Thinning = 1, Burn-in = 1 \n", "Number of function calls: 28804\n", "Acceptance rate: 0.210049 \n", " 0.353048 seconds (1.59 M allocations: 95.275 MiB, 12.60% gc time)\n" ] } ], "source": [ "set_priors!(gp.logNoise, [Normal()])\n", "@time ess_chain = ess(gp, nIter=5000);" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1 = plot(chain', label=[\"Noise\" \"SE log length\" \"SE log scale\"]; fmt=:png, size = (1200, 600), title=\"Hamiltonian Monte-Carlo\", ylims=(-4, 2.5))\n", "p2 = plot(ess_chain', label=[\"Noise\" \"SE log length\" \"SE log scale\"]; fmt=:png, size = (1200, 600), title=\"Elliptical Slice Sampler\", ylims=(-4, 2.5))\n", "plot(p1, p2, xlabel=\"Iteration\", ylabel=\"Parameter Value\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As can be seen in the timing outputs, Hamiltonian MC is considerably slower than elliptical slice sampling, however, this increase in computational cost is accompanied by chains with more desirable mixing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-dimensional regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The regression example above can be easily extended to higher dimensions. For the purpose of visualisation, and without loss of generality, we consider a 2 dimensional regression example." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "#Training data\n", "d, n = 2, 50; #Dimension and number of observations\n", "x = 2π * rand(d, n); #Predictors\n", "y = vec(sin.(x[1,:]).*sin.(x[2,:])) + 0.05*rand(n); #Responses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For problems of dimension>1 we can use isotropic (`Iso`) kernels or automatic relevance determination (`ARD`) kernels. For `Iso` kernels, the length scale parameter $\\ell$ is the same for all dimensions. For `ARD` kernels, each dimension has different length scale parameter.\n", "\n", "The `Iso` and `ARD` kernels are implemented automatically by replacing the single length scale parameter with a vector of parameters. For example, below we use the Matern 5/2 `ARD` kernel, if we wanted to use the `Iso` alternative then we would set the kernel as `kern=Mat(5/2,0.0,0.0)`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example we use a composite kernel represented as the sum of a Matern 5/2 ARD kernel and a Squared Exponential isotropic kernel. This is easily implemented using the `+` symbol, or in the case of a product kernel, using the `*` symbol (i.e. `kern = Mat(5/2,[0.0,0.0],0.0) * SE(0.0,0.0)`)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Type: SumKernel{Mat52Ard{Float64},SEIso{Float64}}\n", " Type: Mat52Ard{Float64}, Params: [-0.0, -0.0, 0.0] Type: SEIso{Float64}, Params: [0.0, 0.0]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mZero = MeanZero() # Zero mean function\n", "kern = Matern(5/2,[0.0,0.0],0.0) + SE(0.0,0.0) # Sum kernel with Matern 5/2 ARD kernel \n", " # with parameters [log(ℓ₁), log(ℓ₂)] = [0,0] and log(σ) = 0\n", " # and Squared Exponential Iso kernel with\n", " # parameters log(ℓ) = 0 and log(σ) = 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit the Gaussian process to the data using the prespecfied mean and covariance functions." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GP Exact object:\n", " Dim = 2\n", " Number of observations = 50\n", " Mean function:\n", " Type: MeanZero, Params: Float64[]\n", " Kernel:\n", " Type: SumKernel{Mat52Ard{Float64},SEIso{Float64}}\n", " Type: Mat52Ard{Float64}, Params: [-0.0, -0.0, 0.0] Type: SEIso{Float64}, Params: [0.0, 0.0]\n", " Input observations = \n", "[3.05977 4.74752 … 2.82127 5.38224; 2.02102 4.27258 … 6.13114 1.56497]\n", " Output observations = [0.08509, 0.924505, 0.275745, -0.448035, -0.784758, -0.316803, -0.823483, -0.886726, 0.0059149, 0.414951 … -0.413905, -0.347505, 0.46108, -0.204102, -0.538689, 0.554203, -0.874479, -0.0506017, -0.0215167, -0.745944]\n", " Variance of observation noise = 0.01831563888873418\n", " Marginal Log-Likelihood = -29.547" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gp = GP(x,y,mZero,kern,-2.0) # Fit the GP" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the [Optim](https://github.com/JuliaOpt/Optim.jl) package we have the option to choose from a range of optimize functions including conjugate gradients. It is also possible to fix the hyperparameters in either the mean function, kernel function or observation noise, by settting them to false in `optimize!` (e.g. `optimize!(...,domean=false)`)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Results of Optimization Algorithm\n", " * Algorithm: L-BFGS\n", " * Starting Point: [-2.0,-0.0,-0.0,0.0,0.0,0.0]\n", " * Minimizer: [-4.277211995773057,5.536664077544042, ...]\n", " * Minimum: -5.023830e+01\n", " * Iterations: 34\n", " * Convergence: false\n", " * |x - x'| ≤ 0.0e+00: false \n", " |x - x'| = 4.74e-02 \n", " * |f(x) - f(x')| ≤ 0.0e+00 |f(x)|: false\n", " |f(x) - f(x')| = -1.36e-14 |f(x)|\n", " * |g(x)| ≤ 1.0e-08: false \n", " |g(x)| = 1.87e-05 \n", " * Stopped by an increasing objective: true\n", " * Reached Maximum Number of Iterations: false\n", " * Objective Calls: 115\n", " * Gradient Calls: 115" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "optimize!(gp) # Optimize the hyperparameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A range of plotting options are availbe through the [Plots.jl](https://github.com/JuliaPlots/Plots.jl) package." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "name": "stderr", "output_type": "stream", "text": [ "GKS: invalid bitmap size\n", "GKS: invalid bitmap size\n" ] } ], "source": [ "plot(contour(gp) ,heatmap(gp); fmt=:png)" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.3.1", "language": "julia", "name": "julia-1.3" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.3.1" } }, "nbformat": 4, "nbformat_minor": 4 }