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- .gitattributes +120 -0
- README.md +129 -0
- data/stats.yaml +10 -0
- data/test/planetswe_IC36_s1.hdf5 +3 -0
- data/test/planetswe_IC36_s2.hdf5 +3 -0
- data/test/planetswe_IC36_s3.hdf5 +3 -0
- data/test/planetswe_IC37_s1.hdf5 +3 -0
- data/test/planetswe_IC37_s2.hdf5 +3 -0
- data/test/planetswe_IC37_s3.hdf5 +3 -0
- data/test/planetswe_IC38_s1.hdf5 +3 -0
- data/test/planetswe_IC38_s2.hdf5 +3 -0
- data/test/planetswe_IC38_s3.hdf5 +3 -0
- data/test/planetswe_IC39_s1.hdf5 +3 -0
- data/test/planetswe_IC39_s2.hdf5 +3 -0
- data/test/planetswe_IC39_s3.hdf5 +3 -0
- data/train/planetswe_IC00_s1.hdf5 +3 -0
- data/train/planetswe_IC00_s2.hdf5 +3 -0
- data/train/planetswe_IC00_s3.hdf5 +3 -0
- data/train/planetswe_IC01_s1.hdf5 +3 -0
- data/train/planetswe_IC01_s2.hdf5 +3 -0
- data/train/planetswe_IC01_s3.hdf5 +3 -0
- data/train/planetswe_IC02_s1.hdf5 +3 -0
- data/train/planetswe_IC02_s2.hdf5 +3 -0
- data/train/planetswe_IC02_s3.hdf5 +3 -0
- data/train/planetswe_IC03_s1.hdf5 +3 -0
- data/train/planetswe_IC03_s2.hdf5 +3 -0
- data/train/planetswe_IC03_s3.hdf5 +3 -0
- data/train/planetswe_IC04_s1.hdf5 +3 -0
- data/train/planetswe_IC04_s2.hdf5 +3 -0
- data/train/planetswe_IC04_s3.hdf5 +3 -0
- data/train/planetswe_IC05_s1.hdf5 +3 -0
- data/train/planetswe_IC05_s2.hdf5 +3 -0
- data/train/planetswe_IC05_s3.hdf5 +3 -0
- data/train/planetswe_IC06_s1.hdf5 +3 -0
- data/train/planetswe_IC06_s2.hdf5 +3 -0
- data/train/planetswe_IC06_s3.hdf5 +3 -0
- data/train/planetswe_IC07_s1.hdf5 +3 -0
- data/train/planetswe_IC07_s2.hdf5 +3 -0
- data/train/planetswe_IC07_s3.hdf5 +3 -0
- data/train/planetswe_IC08_s1.hdf5 +3 -0
- data/train/planetswe_IC08_s2.hdf5 +3 -0
- data/train/planetswe_IC08_s3.hdf5 +3 -0
- data/train/planetswe_IC09_s1.hdf5 +3 -0
- data/train/planetswe_IC09_s2.hdf5 +3 -0
- data/train/planetswe_IC09_s3.hdf5 +3 -0
- data/train/planetswe_IC10_s1.hdf5 +3 -0
- data/train/planetswe_IC10_s2.hdf5 +3 -0
- data/train/planetswe_IC10_s3.hdf5 +3 -0
- data/train/planetswe_IC11_s1.hdf5 +3 -0
- data/train/planetswe_IC11_s2.hdf5 +3 -0
.gitattributes
CHANGED
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# Video files - compressed
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*.mp4 filter=lfs diff=lfs merge=lfs -text
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*.webm filter=lfs diff=lfs merge=lfs -text
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# Video files - compressed
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*.mp4 filter=lfs diff=lfs merge=lfs -text
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*.webm filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC23_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC03_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC13_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC03_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC20_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC06_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC17_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC21_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC22_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC08_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC17_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC12_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC26_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC16_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC07_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC22_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC17_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC23_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC00_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC01_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC26_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC22_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC28_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC05_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC25_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC30_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC24_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC28_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC11_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC19_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC12_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC27_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC35_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC21_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC16_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC02_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC30_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC13_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC15_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC02_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC01_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC31_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC08_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC25_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC01_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC04_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC23_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC26_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC11_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC03_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC05_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC07_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC33_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC18_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC38_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC12_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC14_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC19_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC16_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC29_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC08_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC02_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC39_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC29_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC06_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC10_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC25_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC31_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC07_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC15_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC06_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC35_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC00_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC34_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC20_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC30_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC20_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC31_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC13_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC24_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC04_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC29_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC33_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC11_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC34_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC32_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC24_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC18_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC14_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC15_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC19_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC00_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC10_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC10_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC35_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC28_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC32_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC33_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC36_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC14_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC37_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC27_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC32_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC04_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC09_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC05_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC39_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC09_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC38_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/valid/planetswe_IC34_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC38_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC36_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC09_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC21_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC39_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC18_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC36_s1.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC37_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/train/planetswe_IC27_s2.hdf5 filter=lfs diff=lfs merge=lfs -text
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data/test/planetswe_IC37_s3.hdf5 filter=lfs diff=lfs merge=lfs -text
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README.md
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1 |
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---
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language:
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- en
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license: cc-by-4.0
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tags:
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- physics
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task_categories:
|
9 |
+
- time-series-forecasting
|
10 |
+
- other
|
11 |
+
task_ids:
|
12 |
+
- multivariate-time-series-forecasting
|
13 |
+
---
|
14 |
+
|
15 |
+
# How To Load from HuggingFace Hub
|
16 |
+
|
17 |
+
1. Be sure to have `the_well` installed (`pip install the_well`)
|
18 |
+
2. Use the `WellDataModule` to retrieve data as follows:
|
19 |
+
|
20 |
+
```python
|
21 |
+
from the_well.data import WellDataModule
|
22 |
+
|
23 |
+
# The following line may take a couple of minutes to instantiate the datamodule
|
24 |
+
datamodule = WellDataModule(
|
25 |
+
"hf://datasets/polymathic-ai/",
|
26 |
+
"planetswe",
|
27 |
+
)
|
28 |
+
train_dataloader = datamodule.train_dataloader()
|
29 |
+
|
30 |
+
for batch in dataloader:
|
31 |
+
# Process training batch
|
32 |
+
...
|
33 |
+
```
|
34 |
+
|
35 |
+
# PlanetSWE
|
36 |
+
|
37 |
+
**One line description of the data:** Forced hyperviscous rotating shallow water on a sphere with earth-like topography and daily/annual periodic forcings.
|
38 |
+
|
39 |
+
**Longer description of the data:** The shallow water equations are fundamentally a 2D approximation of a 3D flow in the case where horizontal length scales are significantly longer than vertical length scales. They are derived from depth-integrating the incompressible Navier-Stokes equations. The integrated dimension then only remains in the equation as a variable describing the height of the pressure surface above the flow. These equations have long been used as a simpler approximation of the primitive equations in atmospheric modeling of a single pressure level, most famously in the Williamson test problems. This scenario can be seen as similar to Williamson Problem 7 as we derive initial conditions from the hPa 500 pressure level in ERA5. These are then simulated with realistic topography and two levels of periodicity.
|
40 |
+
|
41 |
+
**Associated paper**: [Paper](https://openreview.net/forum?id=RFfUUtKYOG).
|
42 |
+
|
43 |
+
**Domain expert**: [Michael McCabe](https://mikemccabe210.github.io/), Polymathic AI.
|
44 |
+
|
45 |
+
**Code or software used to generate the data**: [Dedalus](https://dedalus-project.readthedocs.io/en/latest/), adapted from [this example](https://dedalus-project.readthedocs.io/en/latest/pages/examples/ivp_sphere_shallow_water.html).
|
46 |
+
|
47 |
+
**Equation**:
|
48 |
+
|
49 |
+
$$
|
50 |
+
\begin{align*}
|
51 |
+
\frac{ \partial \vec{u}}{\partial t} &= - \vec{u} \cdot \nabla u - g \nabla h - \nu \nabla^4 \vec{u} - 2\Omega \times \vec{u} \\
|
52 |
+
\frac{ \partial h }{\partial t} &= -H \nabla \cdot \vec{u} - \nabla \cdot (h\vec{u}) - \nu \nabla^4h + F
|
53 |
+
\end{align*}
|
54 |
+
$$
|
55 |
+
|
56 |
+
with \\(h\\) the deviation of pressure surface height from the mean, \\(H\\) the mean height, \\(\vec{u}\\) the 2D velocity, \\(\Omega\\) the Coriolis parameter, and F the forcing which is defined:
|
57 |
+
|
58 |
+
```python
|
59 |
+
def find_center(t):
|
60 |
+
time_of_day = t / day
|
61 |
+
time_of_year = t / year
|
62 |
+
max_declination = .4 # Truncated from estimate of earth's solar decline
|
63 |
+
lon_center = time_of_day*2*np.pi # Rescale sin to 0-1 then scale to np.pi
|
64 |
+
lat_center = np.sin(time_of_year*2*np.pi)*max_declination
|
65 |
+
lon_anti = np.pi + lon_center #2*np.((np.sin(-time_of_day*2*np.pi)+1) / 2)*pi
|
66 |
+
return lon_center, lat_center, lon_anti, lat_center
|
67 |
+
|
68 |
+
def season_day_forcing(phi, theta, t, h_f0):
|
69 |
+
phi_c, theta_c, phi_a, theta_a = find_center(t)
|
70 |
+
sigma = np.pi/2
|
71 |
+
coefficients = np.cos(phi - phi_c) * np.exp(-(theta-theta_c)**2 / sigma**2)
|
72 |
+
forcing = h_f0 * coefficients
|
73 |
+
return forcing
|
74 |
+
```
|
75 |
+
|
76 |
+
Visualization:
|
77 |
+
|
78 |
+

|
79 |
+
|
80 |
+
| Dataset | FNO | TFNO | Unet | CNextU-net
|
81 |
+
|:-:|:-:|:-:|:-:|:-:|
|
82 |
+
| `planetswe` | 0.1727| \\(\mathbf{0.0853}\\) | 0.3620 | 0.3724|
|
83 |
+
|
84 |
+
Table: VRMSE metrics on test sets (lower is better). Best results are shown in bold. VRMSE is scaled such that predicting the mean value of the target field results in a score of 1.
|
85 |
+
|
86 |
+
## About the data
|
87 |
+
|
88 |
+
**Dimension of discretized data:** 3024 timesteps of 256x512 images with "day" defined as 24 steps and "year" defined as 1008 in model time.
|
89 |
+
|
90 |
+
**Fields available in the data:** height (scalar field), velocity (vector field).
|
91 |
+
|
92 |
+
**Number of trajectories:** 40 trajectories of 3 model years.
|
93 |
+
|
94 |
+
**Estimated size of the ensemble of all simulations:** 185.8 GB.
|
95 |
+
|
96 |
+
**Grid type:** Equiangular grid, polar coordinates.
|
97 |
+
|
98 |
+
**Initial conditions:** Sampled from hPa 500 level of [ERA5](https://rmets.onlinelibrary.wiley.com/doi/10.1002/qj.3803), filtered for stable initialization and burned-in for half a simulation year.
|
99 |
+
|
100 |
+
**Boundary conditions:** Spherical.
|
101 |
+
|
102 |
+
**Simulation time-step (\\(\Delta t\\)):** CFL-based step size with safety factor of 0.4.
|
103 |
+
|
104 |
+
**Data are stored separated by (\\(\delta t\\)):** 1 hour in simulation time units.
|
105 |
+
|
106 |
+
**Total time range (\\(t_{min}\\) to \\(t_{max}\\)):** \\(t_{min} = 0\\), \\(t_{max} = 3024\\).
|
107 |
+
|
108 |
+
**Spatial domain size:** \\(\phi \in [0, 2 \pi]\\), \\(\theta \in [0, \pi]\\).
|
109 |
+
|
110 |
+
**Set of coefficients or non-dimensional parameters evaluated:** \\(\nu\\) normalized to mode 224.
|
111 |
+
|
112 |
+
**Approximate time to generate the data:** 45 minutes using 64 icelake cores for one simulation.
|
113 |
+
|
114 |
+
**Hardware used to generate the data:** 64 Icelake CPU cores.
|
115 |
+
|
116 |
+
## What is interesting and challenging about the data:
|
117 |
+
|
118 |
+
Spherical geometry and planet-like topography and forcing make for a proxy for real-world atmospheric dynamics where true dynamics are known. The dataset has annual and daily periodicity forcing models to either process a sufficient context length to learn these patterns or to be explicitly time aware. Furthermore, the system becomes stable making this a good system for exploring long run stability of models.
|
119 |
+
|
120 |
+
Please cite the associated paper if you use this data in your research:
|
121 |
+
|
122 |
+
```
|
123 |
+
@article{mccabe2023towards,
|
124 |
+
title={Towards stability of autoregressive neural operators},
|
125 |
+
author={McCabe, Michael and Harrington, Peter and Subramanian, Shashank and Brown, Jed},
|
126 |
+
journal={arXiv preprint arXiv:2306.10619},
|
127 |
+
year={2023}
|
128 |
+
}
|
129 |
+
```
|
data/stats.yaml
ADDED
@@ -0,0 +1,10 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
mean:
|
2 |
+
height: -56.605417955475275
|
3 |
+
velocity:
|
4 |
+
- 0.0011791672586766648
|
5 |
+
- -0.055897362884771845
|
6 |
+
std:
|
7 |
+
height: 296.66266601495124
|
8 |
+
velocity:
|
9 |
+
- 7.224222433086038
|
10 |
+
- 13.895557252034203
|
data/test/planetswe_IC36_s1.hdf5
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|
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|
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data/test/planetswe_IC37_s1.hdf5
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data/train/planetswe_IC01_s1.hdf5
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data/train/planetswe_IC02_s1.hdf5
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data/train/planetswe_IC05_s1.hdf5
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data/train/planetswe_IC05_s3.hdf5
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data/train/planetswe_IC06_s1.hdf5
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