— The scaling properties of multimodal optimization methods have seldom been studied, and existing studies often concentrated on the idea that all local optima of a multimodal fu...
We consider the problem of designing truthful auctions, when the bidders' valuations have a public and a private component. In particular, we consider combinatorial auctions w...
In this paper we propose a numerical method for approximating the product of a matrix function with multiple vectors by Krylov subspace methods combined with a QR decomposition of...
Neurophysiology reveals the properties of individual mirror neurons in the macaque while brain imaging reveals the presence of `mirror systems' (not individual neurons) in th...
We develop a fast method to localize the level set method of Osher and Sethian (1988, Journal of Computational Physics) and address two important issues that are intrinsic to the l...
Danping Peng, Barry Merriman, Stanley Osher, Hongk...