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https://www.physics.ox.ac.uk/news/number-theory-and-evolutionary-genetics

It is precisely this question that the team has answered. They proved that the maximum robustness is proportional to the logarithm of the fraction of all possible sequences that map to a phenotype, with a correction which is given by the sums of digits function sk(n), defined as the sum of the digits of a natural number n in base k. For example, for n = 123 in base 10, the digit sum would be s10(123) = 1 + 2 + 3 = 6. 

*insert random joke about gematria*
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Forwarded from Yevhenii Archating
Forwarded from Axis of Ordinary
"It's like a radioactive tracer shot through global academia, briefly revealing a lower bound on how much garbage "research" is out there."

— gwern

https://twitter.com/gwern/status/1689450163469717509
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Forwarded from /корfwеh/ 🦥
Forwarded from Just links
Bayesian Flow Networks https://arxiv.org/abs/2308.07037