Graph theory isn’t enough. The mathematical language for talking ... Perhaps the best-known example of a Markov chain is a random walk, which describes a path where each step is determined randomly ...

Researchers introduced a mathematical framework using random graph theory to explain emergent capabilities in large language models (LLMs), such as creativity and compositional generalization.

But in theory, there is no guarantee ... Put simply, smoothed analysis introduces small random perturbations to the ...

All of these models play an important role in numerous applied problems from natural science and computer science and their study is a modern and actively developing area of probability theory called ...

Oded Schramm devised a mathematical proof that shows how certain random two-dimensional objects ... Chayes and Borgs's prior university labors on graph theory and phase transitions have been ...

Graph theory isn’t enough ... And for mathematicians, she said, “there’s room to play.” Random Walks and Matrices That sense of creative “play” extends to other tools as well.