5 papers
Low-Discrepancy Set Post-Processing via Gradient Descent
François Clément, Linhang Huang, Woorim Lee +3
The construction of low-discrepancy sets, used for uniform sampling and numerical integration, has recently seen great improvements based on optimization and machine learning techn…
Optimizing Kernel Discrepancies via Subset Selection
Deyao Chen, François Clément, Carola Doerr +1
Kernel discrepancies are a powerful tool for analyzing worst-case errors in quasi-Monte Carlo (QMC) methods. Building on recent advances in optimizing such discrepancy measures, we…
Obtaining the Chamanara Surface from the van der Corput sequence
Zawad Chowdhury, Francois Clement, Max Horwitz
We investigate a family of -regular graphs constructed to test for the presence of combinatorial structure in a sequence of distinct real numbers. We show that the graphs constr…
Robust Online Sampling from Possibly Moving Target Distributions
François Clément, Stefan Steinerberger
We suppose we are given a list of points , a target probability measure and are asked to add additional points so that…
On the largest singular vector of the Redheffer matrix
François Clément, Stefan Steinerberger
The Redheffer matrix is defined by setting if or divides and 0 otherwise. One of its many interesting properties is tha…