diff --git a/docs/source/notebooks/data_container.ipynb b/docs/source/notebooks/data_container.ipynb index 854f7a2154..5fa56b2b2e 100644 --- a/docs/source/notebooks/data_container.ipynb +++ b/docs/source/notebooks/data_container.ipynb @@ -16,7 +16,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Running on PyMC3 v3.6\n" + "Running on PyMC3 v3.7\n" ] } ], @@ -59,9 +59,7 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6621.27draws/s]\n", - "The acceptance probability does not match the target. It is 0.883289588766623, but should be close to 0.8. Try to increase the number of tuning steps.\n", - "The acceptance probability does not match the target. It is 0.8824465542593197, but should be close to 0.8. Try to increase the number of tuning steps.\n" + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6467.99draws/s]\n" ] } ], @@ -83,7 +81,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -113,8 +111,8 @@ { "data": { "text/plain": [ - "array([30.43311825, 31.02348975, 29.748085 , 31.03500693, 29.59041138,\n", - " 29.19589461, 29.52316029, 29.79871833, 30.06108278, 30.89038443])" + "array([29.31915479, 30.69486797, 30.97733105, 30.35877931, 29.27510823,\n", + " 30.05413142, 29.92994914, 29.33650994, 30.22612563, 29.65223376])" ] }, "execution_count": 4, @@ -174,51 +172,51 @@ "\n", "\n", - "\n", - "\n", + "\n", + "\n", "%3\n", - "\n", + "\n", "\n", "cluster10\n", - "\n", - "10\n", + "\n", + "10\n", "\n", - "\n", + "\n", "\n", - "y\n", - "\n", - "y ~ Normal\n", + "data\n", + "\n", + "data ~ Data\n", "\n", - "\n", + "\n", "\n", - "data\n", - "\n", - "data ~ Deterministic\n", + "y\n", + "\n", + "y ~ Normal\n", "\n", - "\n", + "\n", "\n", - "data->y\n", - "\n", - "\n", + "y->data\n", + "\n", + "\n", "\n", "\n", "\n", "mu\n", - "\n", - "mu ~ Normal\n", + "\n", + "mu ~ Normal\n", "\n", "\n", "\n", "mu->y\n", - "\n", - "\n", + "\n", + "\n", "\n", "\n", "\n" ], "text/plain": [ - "" + "" ] }, "execution_count": 6, @@ -279,6 +277,7 @@ " Set the value of `x` to predict on new data.\n", " \n", " .. code:: ipython\n", + " \n", " >>> with model:\n", " ... pm.set_data({'x': [5,6,9]})\n", " ... y_test = pm.sample_posterior_predictive(trace)\n", @@ -316,54 +315,58 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6296.26draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6978.59draws/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6494.94draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 7895.84draws/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6775.41draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6849.99draws/s]\n", + "The acceptance probability does not match the target. It is 0.8920598462003944, but should be close to 0.8. Try to increase the number of tuning steps.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6089.71draws/s]\n", - "The acceptance probability does not match the target. It is 0.8813907103392655, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6766.99draws/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6589.94draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 7054.02draws/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6712.69draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 7511.88draws/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6858.88draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6557.01draws/s]\n", + "The acceptance probability does not match the target. It is 0.8957196259301794, but should be close to 0.8. Try to increase the number of tuning steps.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6772.62draws/s]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6422.69draws/s]\n", + "The acceptance probability does not match the target. It is 0.8824247599939247, but should be close to 0.8. Try to increase the number of tuning steps.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 7330.82draws/s]\n", - "The acceptance probability does not match the target. It is 0.8863523953279285, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6741.64draws/s]\n", + "The acceptance probability does not match the target. It is 0.8798654878635447, but should be close to 0.8. Try to increase the number of tuning steps.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 7020.24draws/s]\n" + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6643.42draws/s]\n", + "The acceptance probability does not match the target. It is 0.8811337600973456, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "The acceptance probability does not match the target. It is 0.8864410755886298, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] } ], @@ -408,8 +411,7 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [x]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:00<00:00, 6448.45draws/s]\n", - "The acceptance probability does not match the target. It is 0.8806955576016666, but should be close to 0.8. Try to increase the number of tuning steps.\n" + "Sampling 4 chains, 0 divergences: 100%|██████████| 4000/4000 [00:00<00:00, 6606.96draws/s]\n" ] } ], @@ -436,7 +438,9 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 500/500 [00:00<00:00, 1967.56it/s]\n" + "/home/juan/Escritorio/dev_pymc/pymc3/pymc3/sampling.py:1132: UserWarning: samples parameter is smaller than nchains times ndraws, some draws and/or chains may not be represented in the returned posterior predictive sample\n", + " warnings.warn(\"samples parameter is smaller than nchains times ndraws, some draws \"\n", + "100%|██████████| 500/500 [00:00<00:00, 1065.06it/s]\n" ] } ], @@ -488,7 +492,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -524,11 +528,10 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [δ, γ, β, α]\n", - "Sampling 4 chains: 100%|██████████| 6000/6000 [00:03<00:00, 1954.48draws/s]\n", - "The acceptance probability does not match the target. It is 0.8950762339991175, but should be close to 0.8. Try to increase the number of tuning steps.\n", - "The acceptance probability does not match the target. It is 0.8873582937209513, but should be close to 0.8. Try to increase the number of tuning steps.\n", - "The acceptance probability does not match the target. It is 0.8807358345108821, but should be close to 0.8. Try to increase the number of tuning steps.\n", - "The acceptance probability does not match the target. It is 0.8836087176127054, but should be close to 0.8. Try to increase the number of tuning steps.\n" + "Sampling 4 chains, 0 divergences: 100%|██████████| 6000/6000 [00:03<00:00, 1895.42draws/s]\n", + "The acceptance probability does not match the target. It is 0.8817057510996494, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "The acceptance probability does not match the target. It is 0.9121299464052002, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "The acceptance probability does not match the target. It is 0.8880865372654843, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] } ], @@ -539,7 +542,7 @@ " γ = pm.HalfNormal('γ', sigma=10)\n", " δ = pm.HalfNormal('δ', sigma=10)\n", "\n", - " month = pm.Data('month', data.Month.values)\n", + " month = pm.Data('month', data.Month.values*1.0)\n", "\n", " μ = pm.Deterministic('μ', α + β * month**0.5)\n", " ε = pm.Deterministic('ε', γ + δ * month)\n", @@ -562,7 +565,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -602,7 +605,9 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 2000/2000 [00:00<00:00, 2195.67it/s]\n" + "/home/juan/Escritorio/dev_pymc/pymc3/pymc3/sampling.py:1132: UserWarning: samples parameter is smaller than nchains times ndraws, some draws and/or chains may not be represented in the returned posterior predictive sample\n", + " warnings.warn(\"samples parameter is smaller than nchains times ndraws, some draws \"\n", + "100%|██████████| 2000/2000 [00:01<00:00, 1138.27it/s]\n" ] } ], @@ -628,7 +633,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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OZ14QHNYpHVPoykmpb7HzvvaLPWlR4aHcOCmFlZkVZJbXW12OWEihKydl0c5i6rVXbKfcOCmVyLAQ3tioFXzBTKErJ8zudLlvoFldiJ+Kj4ngmnFJLEkroayu2epyxCIKXTlh32aUUVwbPKf8esJPTx+Aw+ni7S0aoglWCl05IS6Xi7nrcrQYoosG9I7mopF9+WBbAfUtOsAyGCl05YSszq4ko7ReiyG6wf+cPoC6Zgcfbdcm58FIoSvH5XK5mLNWXW53GZfSi8kD4nhrcz52bXIedBS6clyb86rZHsSn/HrC/5w+gOLaZr7Uto9BR6Erx6Wx3O537rA+DO0Tw4KNedoIJ8godKVDu4pqWbe/Sl1uNwux2fjZ6QPIKK1nU66WBgcTha506DV1uR5z2Zh+9I4O5+3N+VaXIl6k0JVj2ldWz7K95epyPSQyLITrJySzfF85+dWNVpcjXqLQlWN6bV2Otm/0sBsmphJig/e26Aj7YKHQlaPKrWzki/RSbd/oYf1iI7l4VCIf7yykQXtaBAWFrhzVq2v2W11C0Lj51P7UNTv4bHex1aWIFyh05QjZ5Q18nlaiPRa8ZHxKLGOSevLOlnydGhwEFLpyhFfWZKOtxLzHZrNx86n9ya5oZL3OUQt4Cl05RHpRDUvNMo3letnUUYn0iQnnHe0+FvAUunKI55bu0bxcC0SEhXDDRPfJEjmVmj4WyBS6cpBZXMcXu4o1L9ci109MJSzExrtbtFgikCl05aB/rs5Wl2uhvj0imGok8smuYu21G8AUugLAzsIaVmZWqMu12E2TUqlvcbBkd4nVpYiHKHQFgH+uUpfrC05pmz727tYC7T4WoBS6wta8au0k5iNsNhs3Tkolq7xBu48FKIWu8A91uT7lUiORuKgw3t2q6WOBSKEb5DbmVLE5r1pdrg+JCg/lB+NT+G5vGUU1TVaXI91MoRvEXC6XxnJ91A0TUwBYuF27jwUahW4Q25BTxTadfeaTUuOiOH9YAgu3F9Fi1+GVgUShG6RcLhf/Wr1f++X6sBsnp1LZ2MpXe3R4ZSBR6Aap9TlVbC+o0R4LPuyMQb0ZHB/Ne7qhFlAUukHowFiumlzfZrPZuGlyKjsLa9lVVGt1OdJNFLpBaN3+SnYW1mq/XD9w5dgkYsJD1e0GEIVukHG5XPxjpbpcf9EzMoyrxiWxNL2EyoYWq8uRbqDQDTJrsivZXVynLteP3DgplRaHi493FFldinQDhW4Q0ViufxqaEMP3BvXmg22F2DW/z+8pdIPI6uxK0tTl+qWbJqVSVNvMyn3lVpciXaTQDRIul4t/rtTqM3913vAEkmIjtR9DAFDoBonVWZWkl9Rp9ZmfCguxccPEFDbkVJFV3mB1OdIFCt0g4HK5+Pfa/epy/dy145MJD7Vp+pifU+gGgS351ewsrFWX6+fiYyKYZiTy6a5i6pp1nI+/UugGgblrc7XHQoC4cXJ/GlodfLa72OpSpJMUugHOLK5j7f5K7bEQIMYlxzIuOZb3dJyP31LoBri563I0LzfA3DQ5leyKRjbkVFldinSCQjeA7a9o4JuMMs3LDTCXjEokPjpcN9T8lEI3gM3fkGt1CeIBkWEhXDshmeX7yinUcT5+R6EboIprm/l0V4m63AB1/QT3cT4fbNNxPv5GoRug3tiYh0M3WgJWcq8opozoy0fbC2nWcT5+RaEbgKobW9UBBYGbJqVS3WRnqVlidSlyEhS6AejD7YW0ONT9BLrTBsYxNCGGdzZr+pg/UegGmBa7k7c25VtdhniBzWbj5lP7k15Sx6bcaqvLkROk0A0wn6eXUNnYanUZ4iVXjU2iT0y4Zqr4EYVuAHG5XLy+PleLIYJIZFgIN5/anzXZlWSU1lldjpwAhW4AWZNdSXZlo6aJBZkbJqYQHR7C6xvyrC5FToBCN4DM36AuNxj1igrnugkpfJleosUSfkChGyDMtpsp6nKD049P7Q82m26i+gGFboBYsDFPXW4QS+4VxWWjE1m4vVBHtfs4hW4AKK5t5st0LfkNdreeMYhmu5MFG9Xt+jKFbgB4Z3O+ToUQhiTEMG10Iu9tzVe368MUun6urtnO+9u0xZ+43XHW4LZuVzMZfJVC188t2llEY6uW/Iqbu9vtx7tbCtTt+iiFrh+zO9TRyJFuP3MQLfre8FkKXT/29Z4ySuvUzcih2ne7JZq363MUun7K5XK5F0NonpgcxZ3nDMbudPHcV3usLkUOo9D1U5vzqtlTWq9TfuWoBvSO5oeTUnlnQy77yuqtLkfaUej6qdc35BGiLlc6cPuZg+gREcZLK7KsLkXaUej6oczyelZlVWhurnSod0w4d100gpWZFWzK1XHtvkKh64fe3JivJb9yQm49dwhJsZG88F0mTo1F+QSFrp8pq2/h093FWvIrJyQqPJRfnz+EtOI6PtpRZHU5gkLX77y3JR+7xhXkJFw+uh+nDYzjpeVZVGjBhOUUun6kocXBu1u05FdOjs1mY8YlI2lsdfDCd5lWlxP0FLp+ZPHOIupaHFaXIX5oSEIMPz9jIJ/tLmFjjm6qWUmh6yfsThcLNmnPXOm8W88YSP+4KP70VQbNdu3XYRWFrp9YllFGUU2zbqBJp0WFhzJj6gj2Vzbyr1XZVpcTtBS6fuDAkl8thpCuOmtIH66bkMyCjXlszau2upygpND1A1vyq0krrtNiCOkW90wZRkpcFI9+btKgewRep9D1Awu05Fe6UY+IMB693KCguom/LddsBm9T6Pq47PIGVmRqya90r8kD4vjJaQP4YFshy/eVW11OUFHo+jid8iue8n/nDWF0v5489rlJofbd9RqFrg8rqW3Wkl/xmMiwEGZfMwaH08VDi9NodWgamTcodH3YG5vytORXPGpA72j+32Wj2FVUy4vLtQWkNyh0fVRVYysfbC20ugwJAhePSuRHk1N5a3M+X+8ptbqcgKfQ9VHvbM6nWb/uiZfcM2UY41N68djnJnt10oRHKXR9UH2Lnbc251tdhgSR8NAQnv7+GGIiwrj/413UNLVaXVLAUuj6oA+3FVKvSeviZYk9I3n6mjEU1TTzyGfpOHQ/wSMUuj6m2e5k/gZNExNrTOwfx/0XD2d1ViWvrM62upyApND1MYt3FlHV2KppYmKZ6yak8IPxycxZl8s3GWVWlxNwFLo+xO5w8tr6XHW5YimbzcYDF4/glJRYHltiklmuG2vdSaHrQ5aklVBcq+0bxXoRYSE8fc1YosJDuP/j3dQ1260uKWAodH2E3eHkldX71eWKz+gXG8nT14wlv7qJRz5L12nC3USh6yMW7SqmSF2u+JhJA+K476LhrMys4NXV+60uJyAodH1As93Jq+pyxUf9cGIK14xL4t9rc/hur26sdZVC1wd8tL2QsvoWdbnik2w2Gw9OHcmYpJ78YYlJdnmD1SX5NYWuxZpaHfxnbQ42tbniwyLDQvjz98cSGRbC7z/epRtrXaDQtdh7WwuobGxF9yjE1yX3imL2NWPIq27i0SUmLn3TdopC10L1LXbmrtO8XPEfpw7ozT1ThvHdvnLtD9JJCl0LvbO5gNpmu8Zyxa/cPDmVKcMTeHF5FmnFtVaX43cUuhapamhl3vpcq8sQOWk2m41HLhtFQo8IHv4kTeO7J0mha5FX1+ynoVU7iYl/iosO54krR1NQ3cSfvsrQ+O5JUOhaYG9JHe9vK7C6DJEumTQgjl+eM5gv0ktZvKvY6nL8hkLXAk99lmZ1CSLd4pYzBnH6oN785eu9ZGn+7glR6HrZuv2VfJNegvaHlkAQGmLj8SsMosNDmflpGk0aMjsuha4X2Z0unv12HyGaIyYBJLFnJH+4wiCjtJ7nv8u0uhyfp9D1one35JNZ3qAuVwLOuUP78LPTB/DBtkK+0YnCHVLoeklxbTP/WJltdRkiHnPXeUMYlxzLH7/cQ351o9Xl+CyFrpc88+1emu06Ul0CV3hoCE9ePRqAWZ+mY3fo+/1oFLpesDKznG8zyrXyTAJe/7hoZk0bxc7CWl7Wb3ZHpdD1sIYWB3/6aq9unknQuGRUIjdMTOH1jXmsyqqwuhyfo9D1sOeW7aO4tlk3zySo3DtlGCMTe/DoEpOS2mary/EpCl0PWrGvnI92FFldhojXRYWH8tRVY2hqdTDz0zSN77aj0PWQyoYWHv/C1LCCBK0hCTHMmjaKrfk1mr/bTpjVBQQil8vFk19mUN2obRsluF02ph+7i2t5c1M+Y5NjuXJsktUlWU6drge8tTmf7/ZptoIIwG/OH8qpA+J4amkG6dp/V6Hb3TbkVPKCfpUSOSgsNITZ14whLiqM+z7aFfQ31hS63aiwpokZi7WDmMjh+sRE8Ox1p1DX7ODehTupbwnejc8Vut2ksdXB7z9yn5Kq6WEiRzL69WT2NWPILKtnxuI0WoN0RoNCtxs02538buEu9pTWK3BFOnDO0D7MmDqStdmVPPThDpxBeOKEZi90kd3hZMbi3WzMrbK6FBG/cO2EFErrWnhlzX4crXZmTB1JiC145lYqdLvA7nTxyGfprMzUUkeRk3HH2YMIiwzj5WX7CLHZePCSEdiCJHgVup3U1OpgxuI0rS0X6QSbzcb9lxnU1Tczf0MeAPdfPILQIFhNpNDthILqJh5ctJv0kjqrSxHxWzabjbvPHwrA/A15VDS08vgVBlHhoRZX5lkK3ZO0KrOCWZ+l0dCis6BEuspms/GbC4aR0COC55dl8uv6Fp65dhy9o8OtLs1jNHvhBDW1OnhxeSb3LtxJQ4tDsxREutFPThvAU1ePIb24ltve3MKeAP4tUqF7HC6Xi28yyrhhzoaDY08KXJHuN9VI5OUbJ9Bkd3LbW1tZuL0QVwBOKdPwwjG4XC4251Xz6pr9bMqt1m5hIl4wsX8cC/7nVB75NJ2nlmawOa+a+y8eTq+owBluUOgexu50sTqrgnnrc9leUHMwbNXdinhHn5gI/nbDeOasy+E/a/azMaeKhy4dyQXDE6wurVsodNvkVTWyeFcxH+8opLy+VWErYqHQEBu/OHsw5w3rw+Of7+G+j3Zx2ehE7p0yjL49I60ur0uCOnSLapr4ek8ZX6SXkFZ86MC9wlbEemOSYpn/s8nMXZfDa+tzWZlZwe1nDeLmU/sTHuqft6SCLnTzqhr5bm85X+8pZUehe29PDdeK+K7w0BB+ec4QrhiTxHPL9vG35Vl8tKOIX549mKlGot8tqAj40HW5XKSX1LFsbznLMsrILG8AOOTGmJpaEd83MD6aZ687hVVZFby0PItZn6Xzn7U53HH2IC4elUiYn4RvQIZui93JyowyFm3K5du9ZZTWtQCHdrQaPhDxT+cO7cPZQ+L5Zk8Zr6zZz8xP0+n3XSY/nJTKD8Yn0ycmwuoSOxQwoZtf3ciarEpWZ1WwPqeKZrsTG4d2scpZkcAQYrMx1UjkopF9WZlZzntbC3h5ZTavrtnP1FGJXDchhYn9e/nk7mV+G7qVDS1sy69hU141qzIryK1qBNzDBge6WIWsSGALDbExZURfpozoS3Z5A+9vK+CTXcUsSSshOTaSaaP7ccmovoxO6ukzAezzodvU6qC4tpm86iYySurIKK1nV1Et+dVNAEd0sxo2EAlOQxJi+P3FI7jrvKF8t6+ML9JKeWNjLvM35NInJpyzhsRzxqB4xqf2YmDvKMu2kvRI6FY3tjJnXQ71zQ6cLhdO3De0XC5wtv3X1faYs+0x4ODbTpeLsvoWimqaqWk69CylUBs42gWrMlZE2ouJCOWKMUlcMSaJqoZWVmdXsCa7ktVZlXy2uwSAuKgwxiTHMrRPDEP6RDOgdzR9ekTQNyaCXtGe7UU98tlrmux8uquYumY7YDvwDwC2trdt7R9s0z6Ej9WxOpSyInKCeseEc+XYJK4cm4TT5SKrvIEdBTXsKKxhT0k9C/MKabIfeVZbz8gwHr/C4HwPrILzSOgOjI/mUiOR97cVAq5jtKNKTxHxnhCbjeF9ezC8bw+unZACuBu8ktpm8qubKK9voaKhlarGVsIjwxmaEOOROnx+TFdExFNCbDaSe0WR3CvqkMcTE2MpLa31yGt6LHSnGokMTejhqU9/XLGxkdTWNlv2+h1Rbf8V6KcEiBzOY6F72sr6ncMAAAa4SURBVMDenDawt6c+/XF58idVV6k2keDlnztGiIj4KYWuiIgXKXRFRLxIoSsi4kUKXRERL1Loioh4kUJXRMSLFLoiIl5kc7m0B4KIiLeo0xUR8SKFroiIFyl0RUS86KQ3vDEM4zlgsmmaF7Z77B5gummaQ7qvtJPXvjbDME4H/gE4gRLgZtM0632ktnuBHwEtQBVwi2malV6u50LgbSC93cN3ABcCvwTswFbgbtM0j9zl2ZraLgf+F3AA+4BbTdNssbou0zT3tj1v2XXQwdesNxZfBx3UdjUWXwdt9V0OPA20AtuBXwC34qHr4KQ6XcMwLgBOO+yxUcBV3VFMV7SvzTCMEOAd4LemaZ4JbADO85HaBgC/Bc43TXMKkAHcbVFpn5umeeGBf4Em4BFgGnAu0B+42Udqi8L9dTvPNM2z2v78Y6vrahe4vnAdHP41y8R3roOjfa9Zfh0YhtELmANcZ5rm6W11nYcHr4MTDl3DMHoAfwbua/dYCPBP4J7uKqgzjlLbZKDWNM01AKZpPm6a5hc+Uls97mMzYtv+3BsotaC0o5kKfGuaZpVpmi7gPeBKi2s6YDdwmmmaBzb7LQX6WljPQb5yHRyFz1wHR+Er18GlwHrTNDMBTNO8CxiKB6+Dkxle+CvwLId+Ye7H/RMszTCM7qqpMw6vbQRQYBjGy8AkIA33r301VtdmmmalYRh/BLIMw6gAcoBfWVAXwGTDMD4G+gFLcf+UL2r3fBGQakVhHFnbo6Zp1gIYhjEUd1d5ji/Uhe9cB4fXtgvfuQ6O9nXzhetgBFBlGMbrwEhgNe6hDo9dByfU6RqGcSmQYJrmu+0eGwdcATzTXcV0xtFqazMZ9//Uc3GPZ83whdoMwxgEzAQM0zSHATusqA33r3NPAtcBlwDnc8RRoUeccO8tR6vtVgDDMMYAXwC/ME0z1wfq+j984Drg6LUNwQeug2PU9gi+cR0AnAr8GrgAGHOU57v1OjjRTvcmYKRhGGuBSGA47i/STmBV20/3FMMwlpqmeWl3FdeF2n4FpJmmWQhgGMYirPkperTa0oFPTdMsbnufT4Dfebsw0zTzgQM/DBoMw/gI9xjbqnbvlgrk+Uhtkw3DGAt8jPuGy6pjfgLv1vUiPnAdHKO27+MD18ExarsT2Gr1dQAUABsPdP+GYXwG3IsHr4MTCl3TNH9x4G3DMIYAr7WfvdD2eLYFgXvU2nAPgO8yDCPVNM0C3D/ld/pIbb8FPjAMI9o0zUbgLNy/9nmVYRg/x91lzGwbk7wY9w2FXxqGkQBU4r5R9aqP1PYZ7jvgN5umucnbNXVQ1y9M0/xPu/ex5Do4Rm3vAvdZfR0co7Z/AXdbfR0AnwMzDcPoaZpmHe4hq38Dv/LUdRCQpwGbptlqGMZtwCLDMBpxj6febnFZAJimub1tjG1ZW22VuKeoeNuHwNy2LhxgHfAnYD/ub0Q77vGtD32ktipgEPBMu3HTpaZpPmlxXa958fU7crTa/o17XNfq6+Botb2Ee3jT0uvANM1SwzAeBpYbhtGEO/ifAXLx0HWgvRdERLxIK9JERLxIoSsi4kUKXRERL1Loioh4kUJXRMSLFLridYZhuNo2/vH06yQZhvH9treHGIZh9/RrihyPQlcC2UW4V2WJ+IyAXBwh/skwjEjgL7j3zY0AXjFN86m257KB2bgn9w8E3jRN87625x7GvXRzPzAXeAC4HvcE/DDDMHrStq6/bdHMvUA88IBpmm956a8nAqjTFd/yADAWGA+MA35oGMbV7Z6/ADgb997EvzEMY0DbxksPABNxb6RyE4Bpmptxh+77pmke2As1BIgwTXMCMB14wvN/JZFDKXTFl1wDvGyaZnPb6QbzcXesB7xpmqajbR+BYtwd7wXAMtM0C03TbMK9f8Sx2No+J8AWwOPjyiKH0/CC+JLewHOGYTzV9udIYH2756vbve0AQnEPE1S0ezy/g8/vME2z4bCPF/Eqha74kgLgr6ZpfnISH1MD9Gz355TuLUmkeyl0xZd8DNxhGMYS3Btuz8S91+nnHXzMeuAPhmH0BWpxH1x5QCvu7lnEZyh0xSrLDps3ewfwd9ynHezCPf66EXi+o09imuZ6wzDm4R6jzcF9EOP0tqe/xL2f7Abgxm6tXqSTtLWj+D3DMGxtBwhiGMZVwBOmaU62uCyRo1KnK37NMIxEIN0wjFNxd7o3AWusrUrk2DRlTPyaaZqluMd+vwb2AH1wnzQr4pM0vCAi4kXqdEVEvEihKyLiRQpdEREvUuiKiHiRQldExIsUuiIiXvT/AeLEEekQN8BNAAAAAElFTkSuQmCC\n", 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" ] @@ -668,7 +673,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/pymc3/model.py b/pymc3/model.py index 083de57101..0cc444525f 100644 --- a/pymc3/model.py +++ b/pymc3/model.py @@ -13,7 +13,7 @@ from theano.tensor.var import TensorVariable from theano.compile import SharedVariable -from pymc3.theanof import set_theano_conf, floatX +from pymc3.theanof import set_theano_conf, floatX, smartfloatX import pymc3 as pm from pymc3.math import flatten_list from .memoize import memoize, WithMemoization @@ -1302,6 +1302,11 @@ def init_value(self): def pandas_to_array(data): + ''' + If the data is already of dtype equal to theano.config.floatX or + other not-floating point type, the function will not cast the output. + Otherwise, the function will cast the output to theano.config.floatX + ''' if hasattr(data, 'values'): # pandas if data.isnull().any().any(): # missing values ret = np.ma.MaskedArray(data.values, data.isnull().values) @@ -1320,7 +1325,7 @@ def pandas_to_array(data): ret = generator(data) else: ret = np.asarray(data) - return pm.floatX(ret) + return smartfloatX(ret) def as_tensor(data, name, model, distribution): diff --git a/pymc3/tests/test_data_container.py b/pymc3/tests/test_data_container.py index 051e2e3c7b..4284af96fb 100644 --- a/pymc3/tests/test_data_container.py +++ b/pymc3/tests/test_data_container.py @@ -49,7 +49,7 @@ def test_sample_posterior_predictive_after_set_data(self): trace = pm.sample(1000, tune=1000, chains=1) # Predict on new data. with model: - x_test = [5, 6, 9] + x_test = [5., 6., 9.] pm.set_data(new_data={'x': x_test}) y_test = pm.sample_posterior_predictive(trace) @@ -65,8 +65,8 @@ def test_sample_after_set_data(self): pm.Normal('obs', beta * x, np.sqrt(1e-2), observed=y) pm.sample(1000, init=None, tune=1000, chains=1) # Predict on new data. - new_x = [5, 6, 9] - new_y = [5, 6, 9] + new_x = [5., 6., 9.] + new_y = [5., 6., 9.] with model: pm.set_data(new_data={'x': new_x, 'y': new_y}) new_trace = pm.sample() diff --git a/pymc3/tests/test_model_helpers.py b/pymc3/tests/test_model_helpers.py index 75e0a5313f..e93969ee93 100644 --- a/pymc3/tests/test_model_helpers.py +++ b/pymc3/tests/test_model_helpers.py @@ -11,14 +11,19 @@ class TestHelperFunc: - def test_pandas_to_array(self): + def test_pandas_to_array_casting(self): """ Ensure that pandas_to_array returns the dense array, masked array, - graph variable, TensorVariable, or sparse matrix as appropriate. + graph variable, TensorVariable, or sparse matrix as appropriate + when it has to cast the variable. """ + # Force cast of input + input_type = 'float32' if theano.config.floatX is 'float64' else 'float64' + # Create the various inputs to the function - sparse_input = sps.csr_matrix(np.eye(3)) - dense_input = np.arange(9).reshape((3, 3)) + sparse_input = sps.csr_matrix(np.eye(3), dtype=input_type) + + dense_input = np.arange(9, dtype=input_type).reshape((3, 3)) input_name = 'input_variable' theano_graph_input = tt.as_tensor(dense_input, name=input_name) @@ -28,13 +33,13 @@ def test_pandas_to_array(self): # All the even numbers are replaced with NaN missing_pandas_input = pd.DataFrame(np.array([[np.nan, 1, np.nan], [3, np.nan, 5], - [np.nan, 7, np.nan]])) + [np.nan, 7, np.nan]], dtype=input_type)) masked_array_input = ma.array(dense_input, mask=(np.mod(dense_input, 2) == 0)) # Create a generator object. Apparently the generator object needs to # yield numpy arrays. - square_generator = (np.array([i**2], dtype=int) for i in range(100)) + square_generator = (np.array([i**2], dtype=input_type) for i in range(100)) # Alias the function to be tested func = pm.model.pandas_to_array @@ -73,13 +78,85 @@ def test_pandas_to_array(self): # Check function behavior with generator data generator_output = func(square_generator) - # Output is wrapped with `pm.floatX`, and this unwraps - wrapped = generator_output.owner.inputs[0] # Make sure the returned object has .set_gen and .set_default methods - assert hasattr(wrapped, "set_gen") - assert hasattr(wrapped, "set_default") + assert hasattr(generator_output, "set_gen") + assert hasattr(generator_output, "set_default") + # Make sure the returned object is a Theano TensorVariable + assert isinstance(generator_output, tt.TensorVariable) + + def test_pandas_to_array_not_casting(self): + """ + Ensure that pandas_to_array returns the dense array, masked array, + graph variable, TensorVariable, or sparse matrix as appropriate + when it does not have to cast the variable. + """ + # Input type to force the function not to cast. + # It could also have been int64 but for the missing values variable would have been invalid + input_type = theano.config.floatX + + # Create the various inputs to the function + sparse_input = sps.csr_matrix(np.eye(3), dtype=input_type) + + dense_input = np.arange(9, dtype=input_type).reshape((3, 3)) + + input_name = 'input_variable' + theano_graph_input = tt.as_tensor(dense_input, name=input_name) + + pandas_input = pd.DataFrame(dense_input) + + # All the even numbers are replaced with NaN + missing_pandas_input = pd.DataFrame(np.array([[np.nan, 1, np.nan], + [3, np.nan, 5], + [np.nan, 7, np.nan]], dtype=input_type)) + masked_array_input = ma.array(dense_input, + mask=(np.mod(dense_input, 2) == 0)) + + # Create a generator object. Apparently the generator object needs to + # yield numpy arrays. + square_generator = (np.array([i**2], dtype=input_type) for i in range(100)) + + # Alias the function to be tested + func = pm.model.pandas_to_array + + ##### + # Perform the various tests + ##### + # Check function behavior with dense arrays and pandas dataframes + # without missing values + for input_value in [dense_input, pandas_input]: + func_output = func(input_value) + assert isinstance(func_output, np.ndarray) + assert func_output.shape == input_value.shape + npt.assert_allclose(func_output, dense_input) + + # Check function behavior with sparse matrix inputs + sparse_output = func(sparse_input) + assert sps.issparse(sparse_output) + assert sparse_output.shape == sparse_input.shape + npt.assert_allclose(sparse_output.toarray(), + sparse_input.toarray()) + + # Check function behavior when using masked array inputs and pandas + # objects with missing data + for input_value in [masked_array_input, missing_pandas_input]: + func_output = func(input_value) + assert isinstance(func_output, ma.core.MaskedArray) + assert func_output.shape == input_value.shape + npt.assert_allclose(func_output, masked_array_input) + + # Check function behavior with Theano graph variable + theano_output = func(theano_graph_input) + assert isinstance(theano_output, theano.gof.graph.Variable) + assert theano_output.name == input_name + + # Check function behavior with generator data + generator_output = func(square_generator) + + # Make sure the returned object has .set_gen and .set_default methods + assert hasattr(generator_output, "set_gen") + assert hasattr(generator_output, "set_default") # Make sure the returned object is a Theano TensorVariable - assert isinstance(wrapped, tt.TensorVariable) + assert isinstance(generator_output, tt.TensorVariable) def test_as_tensor(self): """