Publications (20)
Pattern Equivariant Mass Transport in Aperiodic Tilings and Cohomology
Michael Kelly, Lorenzo Sadun
Suppose that we have a repetitive and aperiodic tiling of , and two mass distributions and on , each pattern equivariant with respec…
The Beurling-Selberg Box Minorant Problem via Linear Programming Bounds
Jacob Carruth, Noam Elkies, Felipe Gonçalves +1
In this paper we investigate a high dimensional version of Selberg's minorant problem for the indicator function of an interval. In particular, we study the corresponding problem o…
Pattern Equivariant Cohomology and Theorems of Kesten and Oren
Michael Kelly, Lorenzo Sadun
In 1966 Harry Kesten settled the Erd\H os-Szüsz conjecture on the local discrepancy of irrational rotations. His proof made heavy use of continued fractions and Diophantine analys…
Uniform Dilations in Higher Dimensions
Michael Kelly, Thai Hoang Le
A theorem of Glasner says that if is an infinite subset of the torus , then for any , there exists an integer such that the dilation $nX=\{nx: x \in \math…
HG-DAgger: Interactive Imitation Learning with Human Experts
Michael Kelly, Chelsea Sidrane, Katherine Driggs-Campbell +1
Imitation learning has proven to be useful for many real-world problems, but approaches such as behavioral cloning suffer from data mismatch and compounding error issues. One attem…
Lower Bound on the Rate of Adaptation in an Asexual Population
Michael Kelly
We consider a model of asexually reproducing individuals with random mutations and selection. The rate of mutations is proportional to the population size, . The mutations may b…