activity
20182022
most citedConstruction-free median quasi-Monte Carlo rules for function spaces with unspecified smoothness and general weights

25 citations · 48 across the 10 of their papers we have counts for

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6 papers · 1 filter

stat.CO2022

clrng: A tool set for parallel random numbergeneration on GPUs in R

Ruoyong Xu, Patrick Brown, Pierre L'Ecuyer

We introduce the R package clrng which leverages the gpuR package and is able to generate random numbers in parallel on a Graphics Processing Unit (GPU) with the clRNG (OpenCL) lib…

stat.CO2021

Density Estimation by Monte Carlo and Quasi-Monte Carlo

Pierre L'Ecuyer, Florian Puchhammer

Estimating the density of a continuous random variable X has been studied extensively in statistics, in the setting where n independent observations of X are given a priori and one…

stat.CO2020★ 1 cited

A Tool for Custom Construction of QMC and RQMC Point Sets

Pierre L'Ecuyer, Pierre Marion, Maxime Godin +1

We present LatNet Builder, a software tool to find good parameters for lattice rules, polynomial lattice rules, and digital nets in base 2, for quasi-Monte Carlo (QMC) and randomiz…

stat.CO2020

Variance Reduction with Array-RQMC for Tau-Leaping Simulation of Stochastic Biological and Chemical Reaction Networks

Florian Puchhammer, Amal Ben Abdellah, Pierre L'Ecuyer

We explore the use of Array-RQMC, a randomized quasi-Monte Carlo method designed for the simulation of Markov chains, to reduce the variance when simulating stochastic biological o…

stat.CO2019★ 6 cited

An algorithm to compute the -value of a digital net and of its projections

Pierre Marion, Maxime Godin, Pierre L'Ecuyer

Digital nets are among the most successful methods to construct low-discrepancy point sets for quasi-Monte Carlo integration. Their quality is traditionally assessed by a measure c…

stat.CO2018★ 3 cited

Reliability Estimation for Networks with Minimal Flow Demand and Random Link Capacities

Zdravko I. Botev, Pierre L'Ecuyer, Bruno Tuffin

We consider a network whose links have random capacities and in which a certain target amount of flow must be carried from some source nodes to some destination nodes. Each destina…