Mathematicians’ Favorite Shapes Hold the Key to Big Mathematical Mysteries ...

Abstract: Recent advances in Large Language Models (LLMs ... model proposed by Arora and Goyal for modeling semantic languages, we develop a mathematical theory to explain the emergence of learned ...

Then a morphism is a function that maps one set to another ... And you figured this out by passing between the realms of topology and linear algebra using category theory. Language and category theory ...

From smart displays and thermostats to smart light bulbs and video doorbells, not only are there tons of categories to browse, but each category is filled with highly reviewed products that can be ...

Ubisoft discontinued Chaos Theory's servers in April 2016. However, the multiplayer is still playable using a custom LAN master server or connecting directly to an IP address. Starting with Enhanced ...

The Fields medalist Vladimir Voevodsky has died at 51. This 2015 article describes his computer-aided quest to eliminate human error and rewrite the century-old rules ...

The hippocampal–entorhinal system encodes a map of space that guides spatial navigation. Goal-directed behaviour outside of spatial navigation similarly requires a representation of abstract forms of ...