Emily Riehl is obviously one of the math cool-kids whomst we all appreciate but I do think it's funny the degree to which she displays like, the standard mathematician "having no idea what normal people know and don't know about math" thing here.
More you might like
No hurricane has ever crossed the equator.
Try with Bradley. He will take the advice
Write! Everything! In! Your! Journal!
Because Miraculous Ladybug season 2 is out on 21st October in Spain and I AM READY!!! (Happy birthday to me :’D)
the "what number comes next?" problem
here's a sequence of numbers:
3198, 11, 734, 11, 1115, 11, 1440...
can you guess what number comes next?
at a fundamental level, this isn't asking chatgpt the same question that I put at the start of this post.
that is true. it is philosophically similar to interpolation to the point where I think conceptualizing it as "fancier interpolation" gets you a good-enough high-level sense of what's going on, but it is not literally just interpolating. it's considerably more convoluted than that in a way that would take a whole compsci lecture to explain properly.








![the token IDs [3198, 11, 734, 11, 1115, 11, 1440]](https://64.media.tumblr.com/3c34e73bfc2fe4423325bc53f0884383/cdf57baeced2e923-cb/s1280x1920/420e5436da8e1801b7b48e9f5c67c4fe0193db82.png)

![Very good explanation. My one quibble is maybe that the analogy to interpolation is useful, but might be ultimately less reliable than the rest of the post -- at least per LeCun at [arXiv link].](https://64.media.tumblr.com/cca5339336f033187b3d88ff71237a26/d7720ecb5cb45286-08/s500x750/d1b754fc62bd8ff397545cb4b483bbc03a33abb1.png)
