4 papers
Towards Robust Mathematical Reasoning
Thang Luong, Dawsen Hwang, Hoang H. Nguyen +17
Finding the right north-star metrics is highly critical for advancing the mathematical reasoning capabilities of foundation models, especially given that existing evaluations are e…
Cutoff Phenomenon for Inhomogeneous Nonlinear Recombination in Arbitrary Finite Product Spaces
Junho Kim, Insuk Seo
In this article, we prove the cutoff phenomenon for a general class of the discrete-time nonlinear recombination models. This system models the evolution of a probability measure o…
Metastability and time scales for parabolic equations with drift 2: the general time scale
Claudio Landim, Jungkyoung Lee, Insuk Seo
Consider the elliptic operator given by \[ \mathscr{L}_εf=b\cdot\nabla f+εÎf \] for some smooth vector field and , and the initial-valued p…
Metastability and time scales for parabolic equations with drift 1: the first time scale
Claudio Landim, Jungkyoung Lee, Insuk Seo
Consider the elliptic operator given by for some smooth vector field and a small parameter $…