perf: chan's parallel mean-var algorithm for dask#4143
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Codecov Report❌ Patch coverage is
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## main #4143 +/- ##
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+ Coverage 79.59% 79.66% +0.07%
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Files 120 120
Lines 12786 12833 +47
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+ Hits 10177 10224 +47
Misses 2609 2609
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See https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance#Parallel_algorithm
Based on a #4118 (comment) with @zboldyga
This has two benefits - it allows us to calculate mean/var in one pass instead of effectively two (square sum and sum squared) and gets rid of a numerical instability issue that @zboldyga found the solution to (see removed comment)