We prove general exponential moment inequalities for averages of [0,1]valued iid random variables and use them to tighten the PAC Bayesian Theorem. The logarithmic dependence on t...
We give a short and simple proof of Hales and Hallgren's Fourier Sampling Theorem ["Quantum Fourier Sampling Simplified", Proceedings of the Thirty-First Annual ACM...
Zador's classic result for the asymptotic high-rate behavior of entropy-constrained vector quantization is recast in a Lagrangian form which better matches the Lloyd algorith...
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
A prototype of zero-sum theorems, the well-known theorem of Erdos, Ginzburg and Ziv says that for any positive integer n, any sequence a1, a2, . . . , a2n-1 of 2n-1 integers has a...
Sukumar Das Adhikari, Yong-Gao Chen, John Friedlan...