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This is very interesting. As someone who is not intimately familiar with training NNs I have a question however: You mentioned one of the applications here was training a sufficiently deep NN to compress a photo library. Let's say you have a NN...
You could use `Monitor` around whatever looping construct you're using for your code. As a quick example here I just delete one edge at a time from a complete graph and show each step: g = CompleteGraph[8]; Monitor[ Do[ ...
A numerical method to calculate the PDF: pdf[z_] := If[0
Edit: I didn't see the variable orders changed in each modular restriction, so this answer is not correct. m[a_, b_, c_, d_, e_, f_] = a 10^5 + b 10^4 + c 10^3 + d 10^2 + e 10 + f base = 7*9*11*13*15*17; vars =...
`NDSolve` supports matrix-valued dependent variables. So after removing the extra semicolon in the definition of `H[t]` we can do: (*Commutator function*) Comm[A_, B_] := A . B - B . A; (*Define the master...
**This is not a rigorous proof**, but since $$\frac{m!}{p_{m-1} + 1}$$ will only be a fraction when $p_{m-1} +1$ has a prime factor that cannot be cancelled by $m!$, and $m!$ has enough prime factors to cancel any prime factors of $p_{m-1}+1$ less...
Maybe `WordData["example", "Hyphenation"] // Length` could work as an alternative?
Sorry about the formatting, when I show the post in preview it looks perfectly fine, but then the formatting becomes jumbled once I post.
Have you seen [`DSolveChangeVariables`](https://reference.wolfram.com/language/ref/DSolveChangeVariables.html) ?
`Variance` of `WeightedData` gives the population variance, while `Variance` on a set of raw observations gives the unbiased sample variance.