activity
20002022
most citedConvergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature

59 citations · 125 across the 14 of their papers we have counts for

collaborators

17 papers

math-ph2022★ 17 cited

Some results on the Guest-Hutchinson modes and periodic mechanisms of the Kagome lattice metamaterial

Xuenan Li, Robert V. Kohn

Lattice materials are interesting mechanical metamaterials, and their mechanical properties are often related to the presence of mechanisms. The existence of periodic mechanisms ca…

cs.LG2022

A New Approach to Drifting Games, Based on Asymptotically Optimal Potentials

Zhilei Wang, Robert V. Kohn

We develop a new approach to drifting games, a class of two-person games with many applications to boosting and online learning settings. Our approach involves (a) guessing an asym…

math.AP2022

An energy minimization approach to twinning with variable volume fraction

Sergio Conti, Robert Kohn, Oleksandr Misiats

In materials that undergo martensitic phase transformation, macroscopic loading often leads to the creation and/or rearrangement of elastic domains. This paper considers an example…

math.AP2022

Complex Analytic Dependence on the Dielectric Permittivity in ENZ Materials: The Photonic Doping Example

Robert V. Kohn, Raghavendra Venkatraman

Motivated by the physics literature on "photonic doping" of scatterers made from "epsilon-near-zero" (ENZ) matrials, we consider how the scattering of time-harmonic TM electromagne…

cs.LG2022

A PDE-Based Analysis of the Symmetric Two-Armed Bernoulli Bandit

Vladimir A. Kobzar, Robert V. Kohn

This work addresses a version of the two-armed Bernoulli bandit problem where the sum of the means of the arms is one (the symmetric two-armed Bernoulli bandit). In a regime where…

math.OC2020★ 1 cited

A PDE Approach to the Prediction of a Binary Sequence with Advice from Two History-Dependent Experts

Nadejda Drenska, Robert V. Kohn

The prediction of a binary sequence is a classic example of online machine learning. We like to call it the 'stock prediction problem,' viewing the sequence as the price history of…