{ "cells": [ { "cell_type": "markdown", "id": "50176287", "metadata": {}, "source": [ "# 1D parameter estimation using MCMC: kernel multplication\n", "\n", "This example will cover:\n", "\n", " - Use MCMC to infer kernel paramaters\n", " - Finding sample with highest log-prob from the mcmc chain\n", " - Visualising results of sampling\n", " - Making predictions\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "ba0576fc", "metadata": {}, "outputs": [], "source": [ "from gptide import cov\n", "from gptide import GPtideScipy\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import corner\n", "import arviz as az\n", "\n", "from scipy import stats\n", "from gptide import stats as gpstats" ] }, { "cell_type": "markdown", "id": "4040e87d", "metadata": {}, "source": [ "## Generate some data" ] }, { "cell_type": "code", "execution_count": 2, "id": "0b153f56", "metadata": {}, "outputs": [], "source": [ "####\n", "# These are our kernel input parameters\n", "np.random.seed(1)\n", "noise = 0\n", "η_m = 4\n", "ℓ_m = 150\n", "\n", "\n", "covfunc = cov.matern32_1d\n", "\n", "###\n", "# Domain size parameters\n", "dx = 25.\n", "N = 200\n", "covparams = (η_m, ℓ_m)\n", "\n", "# Input data points\n", "xd = np.arange(0,dx*N,dx)[:,None]\n", "\n", "GP = GPtideScipy(xd, xd, noise, covfunc, covparams)\n", "\n", "# Use the .prior() method to obtain some samples\n", "yd = GP.prior(samples=1)\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "84241ba7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Noise-free Matern 1/2')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(xd, yd)\n", "plt.ylabel('some data')\n", "plt.xlabel('x')\n", "plt.title('Noise-free Matern 1/2')" ] }, { "cell_type": "code", "execution_count": 4, "id": "5904482f", "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)\n", "noise = 0\n", "\n", "ℓ_p = 60\n", "η_p = 8\n", "\n", "covfunc = cov.cosine_1d\n", "\n", "covparams = (η_p, ℓ_p)\n", "\n", "# Input data points\n", "xd = np.arange(0,dx*N,dx)[:,None]\n", "\n", "GP = GPtideScipy(xd, xd, noise, covfunc, covparams)\n", "\n", "# Use the .prior() method to obtain some samples\n", "yd = GP.prior(samples=1)\n", "\n", "def sm(x, xpr, params):\n", " \n", " η_m, ℓ_m, x_p, ℓ_p = params\n", " \n", " return cov.matern32_1d(x, xpr, (η_m, ℓ_m)) * cov.cosine(x, xpr, (x_p, ℓ_p))" ] }, { "cell_type": "code", "execution_count": 5, "id": "d9386dd6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Noise-free cosine')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wVhEBVByEyOlFHxrSk8078vntazq8VURUHCTQqVF1bj61Ax/PWcuL43V4q0iiU3GQ/7h0QAuObpfJX96bzYKcbWHHEZEQqTjIfyQlGfcN7kaVSsncMGYq+Vq9VSRhqTjI/6hXrTJ/Pa8r01ds4eFPF4QdR0RCkvJjDzCzTOBmoBNQeU+7ux8fxVwSolO6NOT8Xk145LMFHNs+k17NaoUdSUTKWWm2HF4E5gAtgT8BS4CJUcwkMeCPZ3WiQfXK3PDKVHbsLgg7joiUs9IUhzru/jSQ7+5fuPtlgLYa4lz1ypW4/4LuLN24g7vemxN2HBEpZ6UpDvnBz9VmdrqZ9QRqRzGTxIgjWtVhxFGteHH8Mj6bmxN2HBEpR6UpDn8xsxrAjcBNwFPA9dEMJbHjhpPa0aFBNX7z2nTNnhZJIKUpDpvcfYu7z3T349y9N7Ax2sEkNqSlJPP3C3uwdWc+t76h2dMiiaI0xeHhUrZJnOrYsDo3ndyOD2et5fXJK8OOIyLlYL+HsppZf2AAkGlmNxS7qzqQHO1gElsuH9iKT+bkcMfYWfRrWZumtauGHUlEouhAWw6pQAaRAlKt2GUrMCj60SSWJCcZ91/QHYAbx0yjsEi7l0Ti2X63HNz9C+ALM3vW3ZeWYyaJUU1qVeWOszpz06vTeOqrRfzimNZhRxKRKPnRGdLADjO7F+iMZkgnvPN7Nebj2Wu5/6MfOLpdJh0bVg87kohEQWlnSM9FM6QFMDP+77yuVK9SiV+/onNPi8QrzZCWg1Y7PZV7B3Vj7ppc7v/oh7DjiEgUaIa0HJLjOtTjon7NePKrRXy/aEPYcUSkjB3qDOlfRzWVVAi3nd6R5rWrcuOYaeTuyv/xJ4hIhfGjxcHd3917hrS7jy2PcBLbqqam8MCFPVi9ZSd3vjM77DgiUoYONAnuYWC/B7O7+7VRSSQVSq9mtfjVsW3452cLOLFTfU7u3CDsSCJSBg605ZANTCJy+GovYH5w6UFkgpwIANee0JYujatz6xszWJebF3YcESkD+y0O7j7K3UcB3YBj3f1hd38YOIFIgYgqMzvFzOaZ2QIzuyXa7yeHLjUlib9f0INteQVanE8kTpRmQLoWkfWU9sgI2qLGzJKBR4BTiZyedKiZdYrme8rhaVu/Gjef0oGP5+QwJnt52HFE5DCVpjj8DZhiZs+a2ShgMvB/0Y1FX2CBuy9y993Ay8DZUX5POUyXDmjBgNZ1uPOd2SzbsCPsOCJxb11uXtTWOSvN0Ur/AvoBbwJvAP2D3U3R1Bgo/vVzRdD2H2Y2wsyyzSx73bp1UY4jpZGUZNw7uDtJZtwwZqoW5xOJoryCQi55ejzXvjwlKq9fmi0H3H2Nu78dXNZEJclBcveR7p7l7lmZmZlhx5FA45pVuPOczmQv3cTILxeFHUckbv193HzmrsnlvJ6Nf/zBh6BUxSEEK4GmxW43CdqkAjinR2NO69qAB8bNY/aqrWHHEYk7E5ds5IkvFzKkT1NO6Fg/Ku8Rq8VhItDWzFqaWSowBNDEuwrCzLjrnK7UrJrKr1+Zyq58Lc4nUla25RVw45hpNKlVhdvPiN5xOqUqDmY20MwuDa5nmlnLqCUC3L0AuBr4EJgDjHH3WdF8TylbtdJTuWdQN+atzeWBcVqcT6Ss3PXeHJZv2sH9g3uQkVaasy4cmh8tDmb2R+Bm4NagqRLwQtQSBdz9fXdv5+6t3f2uaL+flL3j2mtxPpGy9OnctYyesIwRR7eib8vorn9ami2Hc4GzgO0A7r6KyOlCRX6UFucTKRsbt+/mt6/NoEODatzwk3ZRf7/SFIfdHpny6gBmlh7dSBJPtDifyOFzd25/awZbdu7mgQt6kJaSHPX3LE1xGGNmTwA1zewK4GPgyejGkniyZ3G+Vyet4MNZMXEktEiF8vbUVbw/Yw03/KQ9nRqVz6l5SzMJ7j7gNeB1oD3wh2CNJZFSu/aEtnRupMX5RA7Wqs07+f3bM8lqXosRR7cqt/ct7SS4ccCfiSybMcnMdCY4OSipKUk8eKEW5xM5GEVFzm9em0ZhkXP/Bd1JTrJye+/SHK30CzNbA0znv8t4Z0c7mMQfLc4ncnCe+24J3yzYwO2nd6J5nfId7i3NlsNNQBd3b+Hurdy9pbuX37aNxBUtzidSOgtytvHXD+ZyXPtMhvZt+uNPKGOlKQ4LAf0XS5nQ4nwiPy6/sIgbx0ylamoyd5/fDbPy2520R2mKw63At2b2hJk9tOcS7WASv7Q4n8iBPfrZQqat2MJd53alXvXKoWQozdzrJ4BPgRlAUXTjSKI4p0djxs1eywPj5nFMu8xyOzxPJNZNX7GZhz+dzzk9GnFa14ah5ShNcajk7jdEPYkklD2L801csokbxkzlrauOpHKl6E/sEYllO3cXcv0rU8mslsafzu4SapbS7Fb6IDixTkMzq73nEvVkEvf2LM43d40W5xMBuOv92Sxev537B3enRpVKoWYpzZbD0ODnrcXaHNARS3LYjmtfj58Gi/Md36EeR7SqE3YkkVB8MmctL3wfWVRvQJu6Yccp1Qzplvu4qDBImbntNC3OJ4ltXW4ev31tOh0bVufGk6K/qF5plGYSXCUzu9bMXgsuV5tZuNs7ElfS07Q4nyQud+fm16eTm1fAP4aUz6J6pVGaMYfHgN7Ao8Gld9AmUma0OJ8kqhfHL+PTuTncemoH2tWPnbMhlGbMoY+7dy92+1MzmxatQJK4rj2hLZ/Ny+HWN2bQq1ktMqulhR1JJKoW5GzjL+/N5uh2mQzr3yLsOP+jNFsOhWbWes8NM2sF6KTAUua0OJ8kkt0FRVz/yhSqVErmvkHdSCrHRfVKozTF4TfAZ2b2uZl9QWRC3I3RjSWJqvjifK9M1OJ8Er8e/PgHZq7cyl/P6xbaLOgD+dHdSu7+iZm1JXIuB4B57q4F+SVqLh3Qgk/mrOXOd2fTt2VtWmVmhB1JpExNWLyRx75YyIVZTTmlS4Ow4+xTaY5WGgykuvt0IueSHm1mvaKeTBJWUpJx/wXdSU1J4rqXp7K7QKu2SPzYuiufX78ylWa1q/KHMzuFHWe/SrNb6ffunmtmA4ETgKfR0UoSZQ1rVOHu87sxY+UW7v9oXthxRMrMH9+exZqtu3jwwh6kp5XmmKBwlGpAOvh5OvCku78HpEYvkkjEyZ0bcFG/Zjzx5SK+nr8+7Dgih23stFW8OWUl1x7flp7NaoUd54BKUxxWmtkTwIXA+2aWVsrniRy220/vRJt6GdwwZiobtmmoSyqu5Rt3cNsbM+jZrCZXHdf6x58QstJ8yF8AfAic7O6bgdpEjmASiboqqck8NKQnm3fkc/PrOrxVKqb8wiKuGT0FgIeG9CQlOfa/X5dmbaUd7v6Gu88Pbq9294+iH00kolOj6tx6WuTw1ue/Xxp2HJGD9sC4H5i6fDN/Pb8rTWtXDTtOqcR++RIBfj6gBce2z+Qv781h7pqtYccRKbWv56/n8S8WMqRPU87o1ijsOKUWc8XBzO4ws5VmNjW4nBZ2JgmfmXHf4O5Ur1yJa0dPYVe+JulL7Fu/LY9fj5lK68wM/nhm57DjHJSYKw6Bv7t7j+DyfthhJDbUzUjj/gu688Pabfzf+3PCjiNyQEVFzo1jprFlZz7//GlPqqTGxmqrpRWrxUFkn45pl8nwgS157rulfKTVWyWGPf31Yr74YR2/P70jHRpUvHOkx2pxuNrMppvZM2YW2wcDS7n7zSnt6dK4Oje9Oo3lG3eEHUekhOkrNnPPh3M5uXN9Lj6iedhxDkkoxcHMPjazmfu4nE1k9nVroAewGrh/P68xwsyyzSx73bp15RdeQpeWkswjP+2FO1wzeoqW15CYkrsrn2tGTyEzI427z++GWWyttlpaoRQHdz/R3bvs4/K2u69190J3LwKeBPru5zVGunuWu2dlZmaWbwckdM3rpHP3oG5MXb6Ze/49N+w4IkDkrG6/f2smyzfu4MEhPalZteIuJhFzu5XMrGGxm+cCM8PKIrHttK4NGda/OU99vVjjDxITXpu0gremruK6E9rRt2XtsOMclpgrDsA9ZjbDzKYDxwG/DjuQxK7fnd6Rro1raPxBQjd3zVZ+//ZM+reqw9XHtwk7zmGLueLg7pe4e1d37+buZ7n76rAzSewqPv5wtcYfJCS5u/L51QuTqVa5Ev8Y2oPkGDur26GIueIgcrCa1anKPYO6MW35Zu7W+IOUM3fn1jdmsGTDdh4e2pN61WLvrG6HQsVB4sKpXRvy8wEteFrjD1LOnv9+Ke9OX82NJ7XniFZ1wo5TZlQcJG7celoHujXR+IOUn2nLN/Pnd2dzXPtMfnlM7C/DfTBUHCRupKUk88+hvXDg6pcmk1eg9ZckerbsyOdXL06mXrXKPHBBD5LiYJyhOBUHiSvN6lTl3kHdmbZiC3e+MzvsOBKnioqcG1+dSk7uLh65qBe10ivufIb9UXGQuHNKlwZceUxrXhy/jDETl4cdR+LQ418u5OM5Odx2Wkd6NK0ZdpyoUHGQuHTTSe0Y2KYut789k+krNocdR+LIFz+s494P53FGt4YMG9Ai7DhRo+IgcSklOYmHhvYkMyONX74wmY3bd4cdSeLAsg07uHb0FNrXr8Y9gyruukmloeIgcat2eiqPX9ybddvyuGb0ZAoKNUFODt2O3QWMeD4bgCcu6U3V1JSQE0WXioPEta5NavCXc7rwzYIN3PfRD2HHkQrK3bn59RnMW5vLQ0N70rxOetiRok7FQeLeBVlNuahfMx7/YiEfzNBqLHLwnvpqMe9MW8VvTm7PMe0SYxVoFQdJCH84sxM9m9XkplenMW9NbthxpAL5ev56/vrBHE7r2iDuJrodiIqDJIS0lGQeu6g36WkpXD5qIhu25YUdSSqA5Rt3cM3oybSpl8G9g7rH9QD03lQcJGE0qFGZkT/LYl1uHr98YbJWcJUD2pZXwBXPZVNQ5DxxSRbpafE9AL03FQdJKD2a1uTewd2ZsGQjt705A3cPO5LEoMIi57rRU5ifs41//rQXLevG/wD03hKrFIoAZ3VvxIK1uTz06QLa1a/GFUe3CjuSxJi/vj+HT+bm8OezOyfMAPTeVBwkIV1/Yjvm52zj/z6YQ+t66RzfoX7YkSRGvDR+GU99vZifD2jBJf1bhB0nNNqtJAkpKcm4/4LudGpYnWtHT9URTALANwvW84e3Z3JMu0xuP71j2HFCpeIgCatqagpPDcuiSmqyjmASFq7bxi9fmESrzHQe/mlPUpIT++MxsXsvCa9hjSo8GRzBdPmobHbu1jkgEtGm7bu5/NmJVEpO4ulhfaheuVLYkUKn4iAJr0fTmjw0tCfTVmzmmtFTKCzSEUyJZFd+Ib94fhKrNu9i5M9607R21bAjxQQVBxHg5M4NuOPMznw8Zy13jJ2lQ1wTRGGR8+tXpjJhyUbuu6A7vZvXDjtSzNDRSiKBYQNasGrzTp74chGNa1XhygRaKiERuTt/emcWH8xcw+2nd+Ss7o3CjhRTVBxEirn5lA6s2rKLv30wl4Y1KnN2j8ZhR5IoefTzhTz33VJGHN2K4UdprsveVBxEiklKMu4b3I2crbu46dVp1KhSiWPb1ws7lpSxV7OXc++H8zinRyNuOaVD2HFiksYcRPaSlpLMk8OyaFuvGle+MInsJRvDjiRl6NO5a7nljRkMbFOXewZ1JykpcRbTOxgqDiL7UL1yJZ67vC+NalTh0mcnMmvVlrAjSRn4duF6rnxhMp0bVefxS3qTmqKPwP3Rb0ZkP+pmpPH88H5US0th2DMTWLx+e9iR5DBMXraJ4aOyaVGnKqMu7UtGgq2yerBCKQ5mNtjMZplZkZll7XXfrWa2wMzmmdnJYeQT2aNxzSo8P7wfRQ4XPzWeVZt3hh1JDsGsVVv4+TMTqFctjRcu70et9NSwI8W8sLYcZgLnAV8WbzSzTsAQoDNwCvComSWXfzyR/2qdmcFzl/Vl6858fvrk96zZsivsSHIQFuRs42dPTyAjLYUXhvejXvXKYUeqEEIpDu4+x93n7eOus4GX3T3P3RcDC4C+5ZtOpKQujWsw6vK+rN+2myEjv1OBqCAWrdvGxU+NxwxeGN6PJrU0+7m0Ym3MoTGwvNjtFUFbCWY2wsyyzSx73bp15RJOEluvZrUYdVlf1uXmMfTJ71m7VQUili3I2caQkd+TX1jEC8P70SozI+xIFUrUioOZfWxmM/dxObssXt/dR7p7lrtnZWYm5sk4pPz1bl6L5y7vS87WXQwdqQIRq+avzWXIyO8pcmf0iCPo0KB62JEqnKgVB3c/0d277OPy9gGethJoWux2k6BNJGb0bl6bUZf1ZU1QIFZv0SB1LJm3JpehT36PGbw84gja1a8WdqQKKdZ2K40FhphZmpm1BNoCE0LOJFJCVotIgcjJzWPQY9/pMNcYMXvVVoY++T3JScbLI46gTT0VhkMV1qGs55rZCqA/8J6ZfQjg7rOAMcBs4N/AVe6uBfYlJvVpUZvRVxzBzvxCBj/+HbNXbQ07UkIbv2gDFz7xHWkpSbw8oj+tNcZwWCwelibOysry7OzssGNIglqQs41Lnh7P9rwC/nVpHy37HIKPZq3h6tFTaFqrCs9d3o/GNauEHalCMLNJ7p61r/tibbeSSIXTpl4Gr17Zn9rpqVz81AS++EFHz5WnMROXc+ULk+jYsDqvXjlAhaGMqDiIlIEmtary6pUDaFE3ncuencjoCcvCjhT33J1HP1/Ab1+fzpFt6vLS8H7U1sznMqPiIFJGMqul8eqV/RnYpi63vjGDv30wlyKdcjQqdhcUcesbM7jn3/M4s3sjnh7Wh3StlVSmVBxEylBGWgpPD8vion7NePyLhVwzegq78nVMRVnatH03lzw9npcnLufq49rwjwt7aHXVKFCpFSljKclJ/OWcLrSsm85d789h1ZadPHFJb+pV05o+h2tBzjYuHzWR1Vt28eCFPTinp87UFy0qtyJRYGYMP6oVj13Um7mrcznjoa+ZqJMGHZbP5+Vw7qPfsD2vgNFXHKHCEGUqDiJRdEqXBrx51QCqpiYzdOT3PPP1YuLh8PHyVFjkPPDRPC59diKNa1bhrauOpHfzWmHHinsqDiJR1qFBdcZeM5DjOtTjzndnc83oKWzPKwg7VoWwLjePS54ez0OfLmBQrya8+asjtbJqOdGYg0g5qF65Ek9c3JvHvljI/R/NY87qrTw0tCedG9UIO1rM+m7hBq59eQq5u/K5Z1A3Lshq+uNPkjKjLQeRcpKUZFx1XBuev7wfubsKOPeRb3nqq0U63HUveQWF3PvhXC566nuqpaXw1lVHqjCEQMVBpJwd2aYu/77+aI5pn8lf3pvDxU+PZ9mGHWHHigkzV27hrIe/4ZHPFnJeryaMvWagltsOiYqDSAhqp6cy8pLe/PW8rkxfsYWTH/ySp75aRGGCbkXsLiji7+N+4JxHvmHTjt08PSyL+wZ3J0MT20Kj37xISMyMoX2bcUy7TH7/1kz+8t4c3pm2ir+d342ODRPn23L2ko3c/tZM5q7J5dyejfnjmZ2oWVXLYIRNq7KKxAB3593pq7lj7Cy27MznsoEtufr4NlSvXCnsaFGzflsef/tgLq9NWkHDGpX501mdOalzg7BjJZQDrcqqLQeRGGBmnNm9EQPb1OVvH8zlya8W8fqkFdxwUjsuzGpKSnL87AHeubuQZ75ZzOOfL2RnfiFXHtOaa09oQ9VUfRzFEm05iMSgmSu3cOe7s5mweCOtMtO5/sR2nNG1IUlJFna0Q5ZfWMQbk1fw93HzWbN1Fyd2rMctp3akTT2dlCcsB9pyUHEQiVHuzoez1vL3cT8wb20u7epncPXxbTmtS4MKtSWxK7+QVyet4PHPF7Jy8066N63J707tQL9WdcKOlvBUHEQqsKIi570Zq3nw4x9YuG47jWtW4dIjW3Bhn6ZUi+ExiXW5ebw0fhkvjl9KTm4ePZvV5Nrj23Js+0zMKu4WUDxRcRCJA0VFzqdzcxj51SImLN5IlUrJnNGtIUP6NqVXs1ox8YFbWOR8u3A9r01awfszVpNf6BzdLpMRR7XiyDZ1YiKj/JeKg0icmbZ8M6MnLGPstFXs2F1IizpVObVrQ07r0pAujauX64dwYZEzedkmPpy5hrHTVpGTm0e1yimc36sJl/RvTutMjSnEKhUHkTi1La+A96av4t3pq/l24QYKi5yGNSpzZJu6HNW2Lke0qkP96mV7Hgl3Z8mGHUxcvJHvF23gs3k5bNqRT0qScWz7epzXqzHHd6hH5UrJZfq+UvZUHEQSwKbtuxk3ey2f/5DDNws2sGVnPgD1qqXRrUkNOjWsTou66TSvk07T2lWoVTWVSgcY2M4vLGLt1l2s3rKL5Rt3MG9tLnNX5zJr1VbWb8sDoFbVShzbvh4ndKzH0e0y43peRjxScRBJMIVFzsyVW5i8bBMzVmxh+sotLFq3jb1X58hIS6F65RRSkpNICQ6T3ZZXwI7dhWzfXUDxj4fU5CRa18ugY4Nq9G5Ri74tatM6M6NCH16b6DQJTiTBJCcZ3ZvWpHvTmv9pyysoZPnGnSzdsJ1Vm3eyaUc+m3bsJndXAYVFTkGR4+5kpKWQnpZCtcopNKxRmQY1qtC4ZmWa10k/4JaGxBcVB5EEkZaSTJt6GZp0JqWirwEiIlKCioOIiJSg4iAiIiWEUhzMbLCZzTKzIjPLKtbewsx2mtnU4PJ4GPlERBJdWAPSM4HzgCf2cd9Cd+9RvnFERKS4UIqDu88BtM6KiEiMisUxh5ZmNsXMvjCzo/b3IDMbYWbZZpa9bt268swnIhL3orblYGYfA/s6599t7v72fp62Gmjm7hvMrDfwlpl1dvetez/Q3UcCIyEyQ7qscouISBSLg7ufeAjPyQPyguuTzGwh0A444NoYkyZNWm9mSw8paERdYP1hPL8iUp8Tg/qcGA61z833d0dMzZA2s0xgo7sXmlkroC2w6Mee5+6Zh/m+2ftbXyReqc+JQX1ODNHoc1iHsp5rZiuA/sB7ZvZhcNfRwHQzmwq8Blzp7hvDyCgiksjCOlrpTeDNfbS/Drxe/olERKS4WDxaKQwjww4QAvU5MajPiaHM+xwX53MQEZGypS0HEREpQcVBRERKSOjiYGanmNk8M1tgZreEnedwmNkzZpZjZjOLtdU2s3FmNj/4WStoNzN7KOj3dDPrVew5w4LHzzezYWH0pbTMrKmZfWZms4OFHK8L2uO232ZW2cwmmNm0oM9/Ctpbmtn4oG+vmFlq0J4W3F4Q3N+i2GvdGrTPM7OTQ+pSqZlZcrB6wrvB7UTo8xIzmxEsRJodtJXP37e7J+QFSAYWAq2AVGAa0CnsXIfRn6OBXsDMYm33ALcE128B7g6unwZ8ABhwBDA+aK9NZF5JbaBWcL1W2H07QJ8bAr2C69WAH4BO8dzvIHtGcL0SMD7oyxhgSND+OPDL4PqvgMeD60OAV4LrnYK/+TSgZfC/kBx2/36k7zcALwHvBrcToc9LgLp7tZXL33cibzn0BRa4+yJ33w28DJwdcqZD5u5fAnvPCTkbGBVcHwWcU6z9OY/4HqhpZg2Bk4Fx7r7R3TcB44BToh7+ELn7anefHFzPBeYAjYnjfgfZtwU3KwUXB44nMjcISvZ5z+/iNeAEM7Og/WV3z3P3xcACIv8TMcnMmgCnA08Ft4047/MBlMvfdyIXh8bA8mK3VwRt8aS+u68Orq8B6gfX99f3Cvs7CXYd9CTyTTqu+x3sXpkK5BD5R18IbHb3guAhxfP/p2/B/VuAOlSwPgMPAr8FioLbdYj/PkOk8H9kZpPMbETQVi5/3zG1fIZEj7u7mcXlcctmlkFk8uT17r7Vii0FH4/9dvdCoIeZ1SQymbRDuImiy8zOAHI8st7asSHHKW8D3X2lmdUDxpnZ3OJ3RvPvO5G3HFYCTYvdbhK0xZO1wWYlwc+coH1/fa9wvxMzq0SkMLzo7m8EzXHfbwB33wx8RmQZmppmtufLXvH8/+lbcH8NYAMVq89HAmeZ2RIiu3+PB/5BfPcZAHdfGfzMIfJFoC/l9PedyMVhItA2OOIhlcjA1diQM5W1scCeIxOGAW8Xa/9ZcHTDEcCWYDP1Q+AkM6sVHAFxUtAWk4L9yE8Dc9z9gWJ3xW2/zSwz2GLAzKoAPyEy1vIZMCh42N593vO7GAR86pFRyrHAkODInpZEFrmcUC6dOEjufqu7N3H3FkT+Tz9194uI4z4DmFm6mVXbc53I3+VMyuvvO+zR+DAvREb3fyCyz/a2sPMcZl9GEzkfRj6RfYqXE9nP+gkwH/gYqB081oBHgn7PALKKvc5lRAbqFgCXht2vH+nzQCL7ZKcDU4PLafHcb6AbMCXo80zgD0F7KyIfdAuAV4G0oL1ycHtBcH+rYq91W/C7mAecGnbfStn/Y/nv0Upx3eegf9OCy6w9n1Hl9fet5TNERKSERN6tJCIi+6HiICIiJag4iIhICSoOIiJSgoqDiIiUoOIgIiIlqDiIiEgJKg4iUWBmfYI19SsHM11nmVmXsHOJlJYmwYlEiZn9hchs3SrACnf/a8iRREpNxUEkSoI1uyYCu4ABHllNVaRC0G4lkeipA2QQOUtd5ZCziBwUbTmIRImZjSWyxHRLoKG7Xx1yJJFS08l+RKLAzH4G5Lv7S2aWDHxrZse7+6dhZxMpDW05iIhICRpzEBGRElQcRESkBBUHEREpQcVBRERKUHEQEZESVBxERKQEFQcRESnh/wFJ8x5CR6suVAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(xd, yd)\n", "plt.ylabel('some data')\n", "plt.xlabel('x')\n", "plt.title('Noise-free cosine')" ] }, { "cell_type": "code", "execution_count": 6, "id": "3ad10e00", "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)\n", "noise = 0.5\n", "\n", "def sm(x, xpr, params):\n", " \n", " η_m, ℓ_m, η_p, ℓ_p = params\n", "\n", " \n", " return cov.matern32_1d(x, xpr, (η_m, ℓ_m)) * cov.cosine_1d(x, xpr, (η_p, ℓ_p))\n", "\n", "covfunc = sm\n", "\n", "covparams = (η_m, ℓ_m, η_p, ℓ_p)\n", "\n", "# Input data points\n", "xd = np.arange(0,dx*N,dx)[:,None]\n", "\n", "GP = GPtideScipy(xd, xd, noise, covfunc, covparams)\n", "\n", "# Use the .prior() method to obtain some samples\n", "yd = GP.prior(samples=1)\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "26bd4540", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Noisy combined kernel')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(xd, yd)\n", "plt.ylabel('some data')\n", "plt.xlabel('x')\n", "plt.title('Noisy combined kernel')" ] }, { "cell_type": "markdown", "id": "2542bb6f", "metadata": {}, "source": [ "## Inference" ] }, { "cell_type": "markdown", "id": "0197a84e", "metadata": {}, "source": [ "We now use the `gptide.mcmc` function do the parameter estimation. This uses the `emcee.EnsembleSampler` class.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "bbd4da06", "metadata": {}, "outputs": [], "source": [ "from gptide import mcmc\n", "n = len(xd)\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "561a3727", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running burn-in...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████| 100/100 [02:08<00:00, 1.29s/it]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Running production...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████| 50/50 [01:08<00:00, 1.37s/it]\n" ] } ], "source": [ "# Initial guess of the noise and covariance parameters (these can matter)\n", "\n", "noise_prior = [gpstats.truncnorm(0.4, 0.25, 1e-15, 1e2)] # noise - true value 0.5\n", "covparams_priors = [gpstats.truncnorm(1, 1, 1e-15, 1e2), # η_m - true value 4\n", " gpstats.truncnorm(125, 50, 1e-15, 1e4), # ℓ_m - true value 150\n", " gpstats.truncnorm(2, 2, 1e-15, 1e4), # η_p - true value 8\n", " gpstats.truncnorm(50, 10, 1e-15, 1e4) # ℓ_p - true value 60\n", " ]\n", "\n", "meanparams_priors = []\n", "\n", "# There is no mean function in this case\n", "meanfunc = None\n", "\n", "priors = noise_prior+covparams_priors+meanparams_priors \n", "ncovparams = len(noise_prior) + len(covparams_priors)\n", "\n", "samples, log_prob, priors_out, sampler = mcmc.mcmc( xd, \n", " yd, \n", " covfunc, \n", " meanfunc, \n", " priors,\n", " ncovparams,\n", " nwarmup=100,\n", " niter=50,\n", " verbose=False)\n", "\n" ] }, { "cell_type": "markdown", "id": "574d215f", "metadata": {}, "source": [ "## Find sample with highest log prob" ] }, { "cell_type": "code", "execution_count": 10, "id": "6120ea8a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Noise (true): 0.50, Noise (mcmc): 0.77\n", "η_m (true): 4.00, η_m (mcmc): 3.28\n", "ℓ_m (true): 150.00, ℓ_m (mcmc): 142.82\n", "η_p (true): 8.00, η_p (mcmc): 7.81\n", "ℓ_p (true): 60.00, ℓ_p (mcmc): 48.30\n" ] } ], "source": [ "i = np.argmax(log_prob)\n", "MAP = samples[i, :]\n", "\n", "print('Noise (true): {:3.2f}, Noise (mcmc): {:3.2f}'.format(noise, MAP[0]))\n", "print('η_m (true): {:3.2f}, η_m (mcmc): {:3.2f}'.format(covparams[0], MAP[1]))\n", "print('ℓ_m (true): {:3.2f}, ℓ_m (mcmc): {:3.2f}'.format(covparams[1], MAP[2]))\n", "print('η_p (true): {:3.2f}, η_p (mcmc): {:3.2f}'.format(covparams[2], MAP[3]))\n", "print('ℓ_p (true): {:3.2f}, ℓ_p (mcmc): {:3.2f}'.format(covparams[3], MAP[4])) \n" ] }, { "cell_type": "markdown", "id": "cc667624", "metadata": {}, "source": [ "## Posterior density plot" ] }, { "cell_type": "code", "execution_count": 11, "id": "aba4faee", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = ['σ','η_m','ℓ_m','η_p','ℓ_p']\n", "def convert_to_az(d, labels):\n", " output = {}\n", " for ii, ll in enumerate(labels):\n", " output.update({ll:d[:,ii]})\n", " return az.convert_to_dataset(output)\n", "\n", "priors_out_az = convert_to_az(priors_out, labels)\n", "samples_az = convert_to_az(samples, labels)\n", "\n", "axs = az.plot_density( [samples_az[labels], \n", " priors_out_az[labels]],\n", " shade=0.1,\n", " grid=(1, 5),\n", " textsize=12,\n", " figsize=(12,3),\n", " data_labels=('posterior','prior'),\n", " hdi_prob=0.995)\n" ] }, { "cell_type": "markdown", "id": "214eb8bc", "metadata": {}, "source": [ "## Posterior corner plot" ] }, { "cell_type": "code", "execution_count": 12, "id": "d54ec867", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = corner.corner(samples, \n", " show_titles=True,\n", " labels=labels,\n", " plot_datapoints=True,\n", " quantiles=[0.16, 0.5, 0.84])" ] }, { "cell_type": "markdown", "id": "02c3f8cd", "metadata": {}, "source": [ "## Condition and make predictions" ] }, { "cell_type": "code", "execution_count": 14, "id": "f5968a01", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 4))\n", "plt.ylabel('some data')\n", "plt.xlabel('x')\n", "\n", "xo = np.arange(0,dx*N*1.5,dx/3)[:,None]\n", "\n", "for i, draw in enumerate(np.random.uniform(0, samples.shape[0], 100).astype(int)):\n", " sample = samples[draw, :]\n", " OI = GPtideScipy(xd, xo, sample[0], covfunc, sample[1:], \n", " P=1, mean_func=None)\n", " out_samp = OI.conditional(yd)\n", " plt.plot(xo, out_samp, 'r', alpha=0.05, label=None)\n", " \n", "plt.plot(xo, out_samp, 'r', alpha=0.1, label='Draws from posterior') # Just for legend\n", " \n", "OI = GPtideScipy(xd, xo, 0, covfunc, MAP[1:], \n", " P=1, mean_func=None)\n", "out_map = OI.conditional(yd)\n", "\n", "plt.plot(xo, out_map, 'k', label='Noise-free draw from MAP')\n", "plt.plot(xd, yd,'.', label='Obs')\n", "plt.legend()\n", "plt.grid()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "af39af95", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 5 }