2 citations · 2 across the 6 of their papers we have counts for
7 papers
The Vector Balancing Constant for Zonotopes
Laurel Heck, Victor Reis, Thomas Rothvoss
The vector balancing constant of two symmetric convex bodies is the minimum so that any number of vectors from can be balanced into an -s…
A New Framework for Matrix Discrepancy: Partial Coloring Bounds via Mirror Descent
Daniel Dadush, Haotian Jiang, Victor Reis
Motivated by the Matrix Spencer conjecture, we study the problem of finding signed sums of matrices with a small matrix norm. A well-known strategy to obtain these signs is to prov…
A Tighter Relation Between Hereditary Discrepancy and Determinant Lower Bound
Haotian Jiang, Victor Reis
In seminal work, Lovász, Spencer, and Vesztergombi [European J. Combin., 1986] proved a lower bound for the hereditary discrepancy of a matrix in te…
Tight bounds on the Fourier growth of bounded functions on the hypercube
Siddharth Iyer, Anup Rao, Victor Reis +2
We give tight bounds on the degree homogenous parts of a bounded function on the cube. We show that if has degree , then…
Balancing Polynomials in the Chebyshev Norm
Victor Reis
Given polynomials of degree at most with for , we show there exist signs so that \[\Big\|…
An Elementary Exposition of Pisier's Inequality
Siddharth Iyer, Anup Rao, Victor Reis +2
Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality, which avoids some non-co…