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20192026
most citedTight bounds on the Fourier growth of bounded functions on the hypercube

2 citations · 3 across the 16 of their papers we have counts for

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Showing 2026Show all

7 papers · 1 filter

math.MG2026

Strongly log-concave measures and lattices

Brayden Letwin, Victor Reis, Thomas Rothvoss

Let be a full rank lattice with the property that for all sublattices . We prove that there exists a symmetric random vector…

math.CO2026

Three Standard Deviations Suffice While One Does Not

Victor Reis, Zhao Song

Spencer's 1985 ``six standard deviations suffice'' theorem shows that every has a sign vector with . We…

cs.DS2026

Optimal Sparsifiers for Minkowski Sums and Sums of Seminorms

Arpon Basu, Joshua Brakensiek, Yeyuan Chen +3

We extend the recent work of Reis and Rothvoss on sparsifying sums of norms to the more general task of sparsifying (Minkowski) sums of centrally symmetric, convex sets. A…

cs.DS2026

Weighted Equitability and Matroid-Constrained Discrepancy

Kristóf Bérczi, Siyue Liu, Victor Reis +1

We prove weighted matroid equitability. Let be a matroid whose ground set can be partitioned into bases, and assign a nonnegative weight to every element. T…

math.MG2026

Linear-size sparsifiers

Victor Reis, Thomas Rothvoss

We prove that for any matrix and any there is a diagonal matrix with at most $O(\frac{n}{…

cs.LG2026

Differentially Private Synthetic Data via APIs 4: Tabular Data

Toan Tran, Arturs Backurs, Zinan Lin +3

This paper investigates the problem of generating synthetic tabular data with differential privacy (DP) guarantees, enabling data sharing in sensitive domains. Despite extensive st…

math.MG2026

Optimal Vector Balancing for Zonotopes

Victor Reis

A zonotope is a linear image of the cube for some . We show that there is a universal constant such that, for every zonotope $Z\subset \mathbb{R}^d…