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| | robotchinwag.com
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| | Deriving the gradients for the backward pass for matrix multiplication using tensor calculus
| | fredrikj.net
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| | [AI summary] An author shares a new algorithm and implementation for efficiently calculating large Bell numbers and exploring their mathematical properties in Python's mpmath library.
| | cp4space.hatsya.com
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| | At the end of the recent post on a combinatorial proof of Houston's identity, I ended with the following paragraph: This may seem paradoxical, but there's an analogous situation in fast matrix multiplication: the best known upper bound for the tensor rank of 4-by-4 matrix multiplication is 49, by applying two levels of Strassen's algorithm,...
| | polymathically.wordpress.com
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| This week's challenge is all about minimalism, something which my photo collection surprisingly lacks. Until I find something better, here's a candle currently decorating my entry hall.