4 papers
Soft-to-Hard Routing in Sparse Mixture-of-Experts Models
Reza Rastegar
Softmax routing approaches hard top-1 routing as the temperature tends to zero, but the limiting passage is singular at router ties. This paper develops a boundary-layer calculus f…
Lyapunov Exponents for Sparsely Coupled Linear Cocycles
Reza Rastegar
This paper studies structured products of real matrices for which the top Lyapunov exponent can be accessed by reducing the dynamics to an amenable generalization of upper triangul…
Growing Avoiders from the Right: An Operator-Theoretic Approach
Reza Rastegar
(Work in progress) Marcus and Tardos \cite{MarcusTardos2004} proved the Stanley--Wilf conjecture by reducing pattern avoidance to an extremal problem on -- matrices. We give…
Catalyzing System-level Decarbonization: An Analysis of Carbon Matching As An Accounting Framework
Nikky Avila, Hank He, Reza Rastegar +3
Carbon matching aims to improve corporate carbon accounting by tracking emissions rather than energy consumption and production. We present a mathematical derivation of carbon matc…