NothingBetter

[NothingBetter @abovemeonlysky]

Huh, our vision isn't rotation invariant. Turn the image 45 degrees and the effect mostly goes away.

[Akiyoshi Kitaoka @AkiyoshiKitaoka]

This image appears to bulge out, though vertical or horizontal edges are straight.

[NothingBetter @abovemeonlysky]

@ApriiSR I like how both of those things are wonderfully instrumentally convergent goals.

[NothingBetter @abovemeonlysky]

@ciphergoth @wanyeburkett @yhdistyminen Probably depends on the social group now. There are plenty of groups where the vast majority have tattoos. Ofc this is complicated by the fact that people don't randomly end up in arbitrary groups, but still tattoos seem common enough lots of people could get them by default.

[NothingBetter @abovemeonlysky]

@RiverTamYDN I know, right? I'm just thankful I had Wikipedia at that age.

[Simons Foundation @SimonsFdn]

It is with great sadness that the Simons Foundation announces the death of its co-founder and chair emeritus, James Harris Simons. Jim was an award-winning mathematician, a legendary investor and a generous philanthropist. https://t.co/w48DhauUVj

[NothingBetter @abovemeonlysky]

@ApriiSR I guess you could say you're going from the Lie algebra R to the Lie group R_+, or take exp(ix) to go from R to the unit circle, where thinking of the discrete subgroup Z is more natural and just counts windings.

[NothingBetter @abovemeonlysky]

@ApriiSR Mmm but going from + to * isn't quite "just" an embedding, speaking purely on vibes of course. You want some kind of passage from infinitesimals to the usual numbers.

[NothingBetter @abovemeonlysky]

@ApriiSR *direct sums of invariant 1-d spaces.

[NothingBetter @abovemeonlysky]

@ApriiSR Yeah it's not really the vector that matters. Invariant subspaces are special, and we're lucky that they split into direct sums of 1-d spaces for algebraically closed fields.

[NothingBetter @abovemeonlysky]

@ptrschmdtnlsn This is super interesting! Your document says you anticipate maybe only having to expand <15 ply deep, is this based on some heuristic calculation?

[NothingBetter @abovemeonlysky]

@ciphergoth Actually disregard the last part. I think the analogy to "actually a room that sophisticated does speak Chinese" is surface-level and weak.

[NothingBetter @abovemeonlysky]

@ciphergoth Going back to DL, the answer to the analogous question would be that the "just matrices" were found by ~10^25 flops of gradient descent *after* the architecture etc was found.

I think this is in the same vein as the standard bullet-biting response to Searle's Chinese room.

[NothingBetter @abovemeonlysky]

@ciphergoth Agh, yes nor. And no less general just in the sense that you can implement a nor gate with a 4x4 matrix by considering a 4d-vector space generated by TT, TF, FT, FF.

[NothingBetter @abovemeonlysky]

@ciphergoth ofc perhaps I'm perhaps cheating a little to say this is true, since matrix multiplication is no less general.

[NothingBetter @abovemeonlysky]

@ciphergoth Tangent but matrix multiplication seems to be at the sweet spot where it seems simple enough to trigger that instinct yet complicated enough to not make the speaker sound ridiculous. Saying AI is just xor gates doesn't quite have the same punch despite actually being true...

[NothingBetter @abovemeonlysky]

@MariGO2thepolls @SocialistDarwi1 @NLRG_it banger

[NothingBetter @abovemeonlysky]

@ApriiSR Oh it's the 1-1/e thing!

[NothingBetter @abovemeonlysky]

@ApriiSR @diviacaroline The tweet is insinuating that the instructor is Harry's father.