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Seth's avatar

What a lovely and intelligent essay, to which I will append a deeply stupid example.

Many statistical inference algorithms are based on drawing repeated samples from a distribution. You only know what the distribution is like by looking at the samples. A bad sampling algorithm will get stuck basically sampling the point over and over again. It will look like it drew 100 samples, but actually you only got, like, 2 pieces of useful information.

A good sampling algorithm will sample independently. The next sample has nothing to do with with the last sample. If it looks like it drew 100 samples, you got 100 pieces of information.

A GREAT sampling algorithm will draw samples that are *anti-correlated*. It will draw 1 sample, then it will fly off into the distance and draw the next sample from as far away as it can go. If it looks like it drew 100 samples, you actually got like 200 pieces of information.

Shakespeare, at his best, writes like a GREAT sampling algorithm. Every idea is attacked from 20 different directions. The full space of interpretations, associations, implications is smashed into a few dozen lines. Sometimes it looks like it is losing coherence, losing its grip on the original problem; but no, actually, the problem is just much bigger and much weirder than it first seemed.

st0rmgiraffe's avatar

have you seen it in music?

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