En octubre de 2024 #Meta #AI, la #inteligencia #artificial #IA #AI de #Meta, consiguió generalizar la función de #Lyapunov
Unos #matemáticos de #Caltech están usando la #IA #AI para resolver un problema de #teoría de #grupos propuesto hace 60 años

https://www.xataka.com/robotica-e-ia/ia-nuestra-mejor-aliada-para-resolver-problemas-matematicos-que-parecen-imposibles

'Fisher information dissipation for time-inhomogeneous stochastic differential equations', by Qi Feng, Xinzhe Zuo, Wuchen Li.

http://jmlr.org/papers/v25/24-0206.html

#langevin #stochastic #lyapunov

A couple days ago, someone sent me a message via my website and asked if I had explored Lyapunov Fractals. Intrigued, I quickly cobbled together some prototype code based on the Wikipedia article and made this test image, but when I tried to reply, that person's email came back undeliverable. So to whoever it was that contacted me, thanks for the inspiration and another math-art idea I'll need to explore in much more detail.

#lyapunov #fractal #mathart #prototype #undeliverable

"Intrinsic Motivation in Dynamical Control Systems"

This paper defines a "Generalized Empowerment" measure, connecting empowerment to causal entropic forces and Lyapunov exponents. Looks like a must-read!

#intrinsic #motivation #empowerment #predictive #information #biology #agents #agency #dynamicalsystems #lyapunov #causal #entropic #forces