Galton boards are fun and all, but what about asymmetric Galton board πŸŽ‰πŸ˜‡ By tuning (thanks #autodiff !!) the probabilities of going to the left/right, one can pretty much obtain any desired final distribution 😍 #probability #python #jax
A beautiful visual demonstration of how mathematical patterns emerge from random events. (using a Galton board) m.imgur.com/gallery/bidjXXg

3:37 PM Β· May 26, 2021

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Replying to @thienan496
This is so cool!!! I love this example of inverse design with autodiff!!!
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Replying to @thienan496
Is this method of generating (pretty much) any desired final probability distribution using an "asymmetric Galton board" explained anywhere? Any code or paper you could share explaining how this is done? Sounds quite interesting.
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Cool! We did something like this in arxiv.org/abs/1805.12244 And @atilimgunes was working on a demo just like this!
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Replying to @thienan496
Clever and instructive. I assume that each pin has a probability, and all have been opt. by grad desc. to minimize the chi2 ?
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Yes, exactly 😊
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Replying to @thienan496
This is so cool. Could you please point me to a good reference (code or theory) for the same? Thanks!
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An asymmetric Galton board looks like the double slit experiment in Quantum Mechanics. Accidental coincidence? πŸ€”
Double-slit diffraction of a #quantum particle
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Hey @mjskay check this out.
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galton based flows incomming πŸ€”πŸ˜
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