Anurag Pallaprolu

Cette question nous entraînerait trop loin

[Grant Stenger (hiring) @GrantStenger]

Local minima are rare in high dimensions because a strict local minimum has to curve upward in every direction, so all Hessian eigenvalues must be positive.

In a D-dimensional toy model where eigenvalue signs are independent, that’s a 2^(-D) event. In GOE-like random matrix models, positive definiteness is even rarer, roughly exp(-cD^2).

So as dimension grows, random critical points are much more likely to be saddles than minima. This is one reason high-dimensional optimization is often a saddle-escape problem, not a bad-local-minimum problem.

Wrote up some of the math here: https://t.co/vkaVqVD64N

[Anurag Pallaprolu @APallaprolu]

I'd say this is the best of the first three books, what this means is that all the VFX spent in the upcoming movie will be spent on prior world building and not on the madness that ensues in this book

[Ben Eater @beneater]

Anyone else out there vibe circuit-building?

[Anurag Pallaprolu @APallaprolu]

From Combinatorics by N. Vilenkin

[Anurag Pallaprolu @APallaprolu]

Someone on the YouTube trailer for the upcoming movie called the genre "hope-core" and I think that is apt

[Anurag Pallaprolu @APallaprolu]

Great end-to-end read, good departure from gloomy hard sci-fi to once-in-a-while existential vibe with humor interspersed throughout. Kept listening to @mogwaiband intermittently while reading. Thank you @andyweirauthor for writing the book.

[Anurag Pallaprolu @APallaprolu]

And so my mind, held high above itself, looked on, intent and still, in wondering awe

[Anurag Pallaprolu @APallaprolu]

When Spotify DJ X provides a detailed introduction to the song I played 4729273829373 times already 😐

[⚡️🇧🇼 @Priceless_MCI]

Ait-Nouri and Reijnders within one day, rivals are crying rn

[Anurag Pallaprolu @APallaprolu]

Gotta be honest here, liked the idea, execution was mid, I don't think I'm gonna go for the trilogy

[Anurag Pallaprolu @APallaprolu]

@grok @grok can you please give specific links?

[Anurag Pallaprolu @APallaprolu]

CANT

[Anurag Pallaprolu @APallaprolu]

@takoverflow @grok So much for global warming with a gorillion GPUs

[Anurag Pallaprolu @APallaprolu]

https://t.co/Ffw2uQv4eH

[Anurag Pallaprolu @APallaprolu]

trying to read papers off of IEEE XPlore but encounter such beautiful typesetting