22 citations · 52 across the 24 of their papers we have counts for
4 papers · 1 filter
Revisiting Normalized Gradient Descent: Fast Evasion of Saddle Points
Ryan Murray, Brian Swenson, Soummya Kar
The note considers normalized gradient descent (NGD), a natural modification of classical gradient descent (GD) in optimization problems. A serious shortcoming of GD in non-convex…
Regular Potential Games
Brian Swenson, Ryan Murray, Soummya Kar
A fundamental problem with the Nash equilibrium concept is the existence of certain "structurally deficient" equilibria that (i) lack fundamental robustness properties, and (ii) ar…
On Best-Response Dynamics in Potential Games
Brian Swenson, Ryan Murray, Soummya Kar
The paper studies the convergence properties of (continuous) best-response dynamics from game theory. Despite their fundamental role in game theory, best-response dynamics are poor…
A Note Regarding Second-Order -limits for the Cahn--Hilliard Functional
Giovanni Leoni, Ryan Murray
This note completely resolves the asymptotic development of order by -convergence of the mass-constrained Cahn--Hilliard functional, by showing that one of the critical assu…