148 citations · 1.1k across the 40 of their papers we have counts for
43 papers
On two ways to use determinantal point processes for Monte Carlo integration
Guillaume Gautier, Rémi Bardenet, Michal Valko
The standard Monte Carlo estimator of relies on independent samples from and has variance of order . Replacing the samples with a…
Bypassing orthogonalization in the quantum DPP sampler
Michaël Fanuel, Rémi Bardenet
Given an matrix of rank , consider the problem of sampling integers with probability proportional to the squared determin…
Cycling in the forest with Wilson's algorithm
Michaël Fanuel, Rémi Bardenet
We consider a probability measure on cycle-rooted spanning forests (CRSFs) introduced by Kenyon. CRSFs are spanning subgraphs, each connected component of which has a unique cycle;…
Benchmarking multi-component signal processing methods in the time-frequency plane
Juan M. Miramont, Rémi Bardenet, Pierre Chainais +1
Signal processing in the time-frequency plane has a long history and remains a field of methodological innovation. For instance, detection and denoising based on the zeros of the s…
Signal reconstruction using determinantal sampling
Ayoub Belhadji, Rémi Bardenet, Pierre Chainais
We study the approximation of a square-integrable function from a finite number of evaluations on a random set of nodes according to a well-chosen distribution. This is particularl…
Repelled point processes with application to numerical integration
Diala Hawat, Gabriel Mastrilli, Rémi Bardenet +1
We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point…