14–19 Jan 2024
Aspen Center for Physics
US/Mountain timezone

Full solution to the neural scaling law model

18 Jan 2024, 08:30
45m
Aspen Center for Physics

Aspen Center for Physics

700 Gillespie Ave, Aspen, CO 81611, United States

Speaker

Zhengkang (Kevin) Zhang

Description

I will present the full solution to the random feature model recently proposed by Maloney, Roberts and Sully as a simplified model that exhibits neural scaling laws, extending the results in the latter reference beyond the ridgeless limit. The calculation is based on a new large-N diagrammatic method for all-order resummation. The result enables full predictions of scaling law exponents and also provides analytical understanding of the optimization of the ridge parameter.

Presentation materials