Taming the Complexity of Language Models

The correlation function [latex]K(r)[/latex] of an additive Markov chain-constructed with a memory length of [latex]r=N=10[/latex] and parameters [latex]\overline{a}=1/2[/latex] and [latex]F_0=0.15[/latex]-demonstrates a correspondence between numerical solutions of equation (9) and calculations derived from the cumulative probability density function (7), revealing how memory embedded within the system’s dynamics shapes its overall correlation structure as defined by the memory function [latex]F(r)[/latex] (inset).

New research connects the principles of statistical physics to the inner workings of large language models, offering a potential path to understanding-and mitigating-the challenges of high dimensionality.