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@bwengals
Last active July 8, 2017 02:46
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some simple gp tests
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:41:04.761157Z",
"end_time": "2017-07-08T02:41:05.705502Z"
},
"trusted": true
},
"cell_type": "code",
"source": "import sys\nsys.path.insert(0, \"/home/bill/pymc3/\")\n\nimport numpy as np\n%matplotlib inline\n\nimport pymc3 as pm\nimport theano\nimport theano.tensor as tt",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:41:05.707680Z",
"end_time": "2017-07-08T02:41:05.882587Z"
},
"trusted": true
},
"cell_type": "code",
"source": "x = np.linspace(0,1,100)\ny = np.sin(2 * np.pi * x * 2) + 0.1 * np.random.randn(100)\nplt.plot(x,y, 'o');",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fa129193dd8>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# full GP, conjugate"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:41:05.888236Z",
"end_time": "2017-07-08T02:41:48.767798Z"
},
"trusted": true
},
"cell_type": "code",
"source": "with pm.Model() as model:\n ℓ = 0.1\n σ = pm.HalfStudentT(\"σ\", mu=0.1, lam=1.0, nu=5)\n cov = pm.gp.cov.Matern52(1, ℓ)\n gp = pm.gp.GP(\"gp\", X=x[:,None], cov_func=cov, \n sigma=σ, observed=y)\n tr = pm.sample(500)",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using ADVI...\nAverage Loss = -29.491: 4%|▍ | 8476/200000 [00:19<10:36, 300.86it/s] \nConvergence archived at 8500\nInterrupted at 8,500 [4%]: Average Loss = -18.154\n100%|██████████| 1000/1000 [00:14<00:00, 71.09it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:41:48.771081Z",
"end_time": "2017-07-08T02:41:49.145939Z"
},
"trusted": true
},
"cell_type": "code",
"source": "pm.traceplot(tr);",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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M5UPVmzKwao/tWMmURo+KYIExRZT3JupGsLzHlTVaiaiOv25qgUaEy0+d6r6u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\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa12911c7b8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:41:49.149345Z",
"end_time": "2017-07-08T02:41:52.633214Z"
},
"trusted": true,
"scrolled": true
},
"cell_type": "code",
"source": "xn = np.linspace(0,1,200)\nwith model:\n samples = pm.gp.sample_gp(tr[-5:], gp, xn[:,None], obs_noise=False)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "100%|██████████| 5/5 [00:03<00:00, 1.45it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:41:52.640025Z",
"end_time": "2017-07-08T02:41:52.843017Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(xn, samples.T, 'b', alpha=0.4);\nplt.plot(x, y, 'ko');",
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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wDoSBZEiFclbVY49Z0Nzc9WbY0BDaNzxf4XCQkeov70RIK/+qKuo9IiUpwVNP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\nUb1PQ1NXAAAAAElFTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0ece63d30>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# full GP, nonconjugate likelihood\n\nI'm using a Normal, but not actually using conjugacy in the GP "
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:42:00.228883Z",
"end_time": "2017-07-08T02:42:23.206747Z"
},
"trusted": true,
"scrolled": true
},
"cell_type": "code",
"source": "with pm.Model() as model:\n ℓ = 0.1\n σ = 0.1\n cov = pm.gp.cov.Matern52(1, ℓ)\n f = pm.gp.GP(\"f\", X=x[:,None], cov_func=cov)\n likelihood = pm.Normal(\"likelihood\", mu=f, sd=σ, observed=y)\n tr = pm.sample(500)",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using ADVI...\nAverage Loss = 177.04: 13%|█▎ | 26775/200000 [00:04<00:26, 6642.75it/s]\nConvergence archived at 26800\nInterrupted at 26,800 [13%]: Average Loss = 773.63\n100%|██████████| 1000/1000 [00:15<00:00, 64.48it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:42:23.224254Z",
"end_time": "2017-07-08T02:42:25.253854Z"
},
"trusted": true
},
"cell_type": "code",
"source": "pm.traceplot(tr);",
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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yMIz5ys0tnrm5zB/54z9Fc6HsjEbDHW6M3mVRN3jepBT9jEo3JV5fwQWGr9aP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\n0zRN0zRN0zRtjegES9M0TdM0TdM0bY3oBEvTNE3TNE3TNG2N6ARL0zRN0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82W+hKPrD7F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rGDKM646LssRJE/9nOWIejdyfvEVZ6eM1hHE5eHbokM6DpdNuxNHpkF1pZDhCzjJMzd24LH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\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caANoGuarKZVd0kNDzzWCkYm7B5qlKOuCeBNhVAXr8oJa1gxlj1oolDUi2LXoVh2UVWHb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\nxVny/wCDgxSHI4MkmwAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0eb56ed30>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:42:25.255393Z",
"end_time": "2017-07-08T02:42:25.484140Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(x, tr[\"f\"][-30:,:].T, 'b', alpha=0.4);\nplt.plot(x, y, 'ko');",
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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eXkk47tuXPj0M6cr+/XKeSYWVBYS18NM1pBjirLPE8E+cGA4tgiR7W1tN6Ccd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\nvDzYsUOqeBwOi0AAlJKJXU5nOZ/7XBULF1oUFkq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"text/plain": "<matplotlib.figure.Figure at 0x7fa0e643cc50>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:43:44.004826Z",
"end_time": "2017-07-08T02:44:01.442141Z"
},
"trusted": true
},
"cell_type": "code",
"source": "xn = np.linspace(0,1,200)\nwith model:\n samples = pm.gp.sample_gp(tr[-30:], f, xn[:,None], obs_noise=False)",
"execution_count": 14,
"outputs": [
{
"output_type": "stream",
"text": "100%|██████████| 30/30 [00:17<00:00, 1.88it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:01.445581Z",
"end_time": "2017-07-08T02:44:01.739403Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(xn, samples.T, 'b', alpha=0.4);\nplt.plot(x, y, 'ko');",
"execution_count": 15,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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HQ3uzZ8v//YIFsh8Ui5Eb/cjGUUGBi4oKDyefbAHR/41pGpQ5GOMfhfZ2yYHevh0OHhzq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\nNzOr0B9eog16homy7wAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0d73c73c8>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# full GP, conjugate, noise covariance matrix"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:01.741100Z",
"end_time": "2017-07-08T02:44:02.080166Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# generate data\nwith pm.Model() as model:\n ℓ = 0.1\n ℓn = 0.05\n cov_f = pm.gp.cov.ExpQuad(1, ℓ)\n cov_n = 0.5 * pm.gp.cov.Exponential(1, ℓn)\n K = cov_f + cov_n\n\nKx = K(x[:,None]).eval()\ny = np.random.multivariate_normal(np.zeros(len(x)), Kx, 1).flatten()\nplt.plot(x, y, 'o'); ",
"execution_count": 16,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fa0d743e470>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:02.085846Z",
"end_time": "2017-07-08T02:44:46.035221Z"
},
"trusted": true
},
"cell_type": "code",
"source": "with pm.Model() as model:\n ℓ = 0.1\n ℓn = pm.HalfStudentT(\"ℓn\", mu=0.1, lam=1.0, nu=5)\n cov_f = pm.gp.cov.ExpQuad(1, ℓ)\n cov_n = 0.5 * pm.gp.cov.Exponential(1, ℓn)\n gp = pm.gp.GP(\"gp\", X=x[:,None], cov_func=cov_f, \n cov_func_noise=cov_n, observed=y)\n tr = pm.sample(500)",
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using ADVI...\nAverage Loss = 29.267: 3%|▎ | 6959/200000 [00:20<09:46, 329.08it/s]\nConvergence archived at 7000\nInterrupted at 7,000 [3%]: Average Loss = 34.819\n100%|██████████| 1000/1000 [00:16<00:00, 61.26it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-07-08T02:44:46.037353Z",
"end_time": "2017-07-08T02:44:46.400915Z"
},
"trusted": true
},
"cell_type": "code",
"source": "pm.traceplot(tr);",
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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LfqqiLpXYdiu0KJ/OYRgCBzpNpUbtcSOU0BvDEHbOijcHCzBzYKRiE5QPU0rp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\n3rgwLxFHJDbxVEIjFdhQnA84nd9UOZiAwY8WrIkar4zxtEq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jqnoG+C+8sQfZKJE4RKwm\nu1uvILE43AKsV9U+VT0K/C+wJOUlNpkqln0pX7wT6bbj3o+65XkRIxEJ4VWuHlXVf3eL8zomAKp6\nEvgD3tiZKvd7CkO3ebzzTra7CrjJXVc+htc18IfkbzxQ1UPu/SheBXwpPhwvVsGauE3ALJehpRDv\nonDdsHXWAbe66U8Az7n+nVer6gxVnYF3APyzqt6broInWdxxEJHJIhIEEJE2YBbeuLRsFHccgGeA\nS0Wk1P3Q/QnweprKnWyJxAERCQCfxDtBZLNE4vBHYKXLalSGd9Ew1p03k9ti2ZfyRfQxcyvwn1HL\nP++OmSuBzkg3oFzhxsc8CLyhqt+P+igvY+KuH6rcdAnwAbxxab/H+z2FC+Mx4nknF6jqN1S12V1X\nrsbbvs+Sp/EQkTIRmRSZxhvrvgM/jpdkZcvIpxde1pHdeC0vf+eWfRO4yU0X42UJ3AO8DLSN8G/c\nTRZnEUwkDsDH8ZJ8bANeAW70e1v82h+Az7lY7ADW+r0tPsbhGuAlv7fBzzgA5W75TryK9tf83hZ7\nZd6+lOsvvFbsw0Af3t3lNXhjRJ4F3nLvNW5dAX7i4vMasMTv8qcgHsvxuixtB7a614fzNSbApcCr\nLh47gH9wy9vc7+ke9zta5JaPez2WKy93Ho1kEczLeLjt3uZeO6POwWk/XsR9gTHGGGOMMcaYBFkX\nQWOMMcYYY4xJEqtgGWOMMcYYY0ySWAXLGGOMMcYYY5LEKljGGGOMMcYYkyRWwTLGGGOMMcaYJLEK\nljHGGGOMMcYkiVWwjDHGGGOMMSZJ/h+U4EcokXT5PAAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0d73c7390>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:46.402359Z",
"end_time": "2017-07-08T02:44:52.489452Z"
},
"trusted": true
},
"cell_type": "code",
"source": "xn = np.linspace(0,1,200)\nwith model:\n samples = pm.gp.sample_gp(tr[-10:], gp, xn[:,None], obs_noise=False)",
"execution_count": 19,
"outputs": [
{
"output_type": "stream",
"text": "100%|██████████| 10/10 [00:06<00:00, 1.65it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:52.490967Z",
"end_time": "2017-07-08T02:44:52.764114Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(xn, samples.T, 'b', alpha=0.4);\nplt.plot(x, y, 'ko');",
"execution_count": 20,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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BEUwuLi6GLMsoKSnGn/+cgTFjTPD355r59FNaBWKkaXcgJnldvuy4YSLAPWqx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TcbAuxZ8r3TmoxsM1IwfC5CiA0AMgGsGNQjGnz6PWchhA+A/wTwhLcOyAsY+Z59QTfQSnCVt1cI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\noVCMUZQCUCgUijHK/wfIttchvg8ZGQAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0d2b183c8>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Sparse GP, FITC, kmeans initialization"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:52.765508Z",
"end_time": "2017-07-08T02:44:52.946243Z"
},
"trusted": true
},
"cell_type": "code",
"source": "x = np.random.rand(100)\ny = np.sin(2 * np.pi * x * 2) + 0.1 * np.random.randn(100)\nplt.plot(x, y, 'o');",
"execution_count": 21,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fa0def17160>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:44:52.948708Z",
"end_time": "2017-07-08T02:45:14.821403Z"
},
"trusted": true
},
"cell_type": "code",
"source": "with pm.Model() as model:\n ℓ = 0.1\n σ = pm.HalfStudentT(\"σ\", mu=0.1, lam=1.0, nu=5) \n cov = pm.gp.cov.Matern52(1, ℓ)\n gp = pm.gp.GP(\"gp\", X=x[:,None], cov_func=cov, \n approx=\"fitc\", n_inducing=10,\n sigma=σ, observed=y)\n tr = pm.sample(500)",
"execution_count": 22,
"outputs": [
{
"output_type": "stream",
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using ADVI...\nAverage Loss = -25.296: 3%|▎ | 6795/200000 [00:05<02:49, 1140.34it/s]\nConvergence archived at 6800\nInterrupted at 6,800 [3%]: Average Loss = -22.668\n100%|██████████| 1000/1000 [00:05<00:00, 168.27it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-07-08T02:45:14.829715Z",
"end_time": "2017-07-08T02:45:15.176221Z"
},
"trusted": true
},
"cell_type": "code",
"source": "pm.traceplot(tr);",
"execution_count": 23,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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Y+OsbBz392boGUvjnpuasPbiCrkeg8EnOPljuMToOVoBjKu5xWX0znjLw0OsH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\nC6PLRlZedHP26D7oVxPBeS01cV2CR8dhSqYHxFR5cSHZ00X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"text/plain": "<matplotlib.figure.Figure at 0x7fa0d126e358>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:45:15.177802Z",
"end_time": "2017-07-08T02:45:25.737161Z"
},
"trusted": true
},
"cell_type": "code",
"source": "xn = np.linspace(0,1,200)\nwith model:\n samples = pm.gp.sample_gp(tr[-10:], gp, xn[:,None], obs_noise=False)",
"execution_count": 24,
"outputs": [
{
"output_type": "stream",
"text": "100%|██████████| 10/10 [00:10<00:00, 1.12it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:45:25.739220Z",
"end_time": "2017-07-08T02:45:26.087918Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(xn, samples.T, 'b', alpha=0.4);\nplt.plot(x, y, 'ko');\nxu = gp.distribution.Xu.flatten()\nplt.plot(xu, np.zeros(len(xu)), 'rx', ms=10);",
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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5FB5Op7Ai/SvvSl2g/Hx7YuWjj6Zh924TgoN5TyZN4j1TmqloNPSl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\nVAAoiqL0UVQAKIqi9FH+P4xj4CiAs/ALAAAAAElFTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0cb342ba8>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# VFE"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:45:26.089572Z",
"end_time": "2017-07-08T02:45:48.021190Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# use inducing points from FITC model\nxu = gp.distribution.Xu.flatten()\n\nwith pm.Model() as model:\n ℓ = 0.1\n σ = pm.HalfStudentT(\"σ\", mu=0.1, lam=1.0, nu=5) \n cov = pm.gp.cov.Matern52(1, ℓ)\n gp = pm.gp.GP(\"gp\", X=x[:,None], cov_func=cov, \n approx=\"VFE\", inducing_points=xu[:,None],\n sigma=σ, observed=y)\n tr = pm.sample(500)",
"execution_count": 26,
"outputs": [
{
"output_type": "stream",
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using ADVI...\nAverage Loss = 30.987: 5%|▍ | 9606/200000 [00:08<02:42, 1174.53it/s]\nConvergence archived at 9700\nInterrupted at 9,700 [4%]: Average Loss = 119.06\n100%|██████████| 1000/1000 [00:04<00:00, 212.22it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-07-08T02:45:48.029278Z",
"end_time": "2017-07-08T02:45:48.404625Z"
},
"trusted": true
},
"cell_type": "code",
"source": "pm.traceplot(tr);",
"execution_count": 27,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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yxDEJu46Z/b8hlcsM11dr7o7jyTeP4HD32FPDd4/3uHIjFSOFYQ7/vumN29o6QkgmYYxc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\nEGtgGWOMMcYYY0yG/D9yRkB/5HWzwQAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fa0c93dfc88>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:45:48.406241Z",
"end_time": "2017-07-08T02:45:57.832656Z"
},
"trusted": true
},
"cell_type": "code",
"source": "xn = np.linspace(0,1,200)\nwith model:\n samples = pm.gp.sample_gp(tr[-10:], gp, xn[:,None], obs_noise=False)",
"execution_count": 28,
"outputs": [
{
"output_type": "stream",
"text": "100%|██████████| 10/10 [00:09<00:00, 1.21it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-07-08T02:45:57.834372Z",
"end_time": "2017-07-08T02:45:58.056661Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(xn, samples.T, 'b', alpha=0.4);\nplt.plot(x, y, 'ko');\nxu = gp.distribution.Xu.flatten()\nplt.plot(xu, np.zeros(len(xu)), 'rx', ms=10);",
"execution_count": 29,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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XcXGxVqCrP5DNWDzNGCUllIDr62nzv+giRsbcdBNw3XV0AI8ZwwiayEj+PWkS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\noxW+pI+Wljzk59NeLU1k0jIYEkLVdrg12G5qol3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KKVsISltvXp5a7G3uXEqiViulOVlC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"text/plain": "<matplotlib.figure.Figure at 0x7fa0c7e8dcc0>"
},
"metadata": {}
}
]
}
],
"metadata": {
"kernelspec": {
"name": "conda-root-py",
"display_name": "Python [conda root]",
"language": "python"
},
"anaconda-cloud": {},
"_draft": {
"nbviewer_url": "https://gist.github.com/6ca7ee397b78fc23ccfbd94dfc818adf"
},
"gist": {
"id": "6ca7ee397b78fc23ccfbd94dfc818adf",
"data": {
"description": "some simple gp tests",
"public": true
}
},
"language_info": {
"file_extension": ".py",
"version": "3.5.3",
"name": "python",
"nbconvert_exporter": "python",
"codemirror_mode": {
"version": 3,
"name": "ipython"
},
"mimetype": "text/x-python",
"pygments_lexer": "ipython3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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