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20112021
most citedMeasuring Sample Quality with Stein's Method

110 citations · 275 across the 8 of their papers we have counts for

collaborators

10 papers

stat.ME2021★ 1 cited

Stein's Method Meets Computational Statistics: A Review of Some Recent Developments

Andreas Anastasiou, Alessandro Barp, François-Xavier Briol +11

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin…

stat.ML2020★ 6 cited

Optimal quantisation of probability measures using maximum mean discrepancy

Onur Teymur, Jackson Gorham, Marina Riabiz +1

Several researchers have proposed minimisation of maximum mean discrepancy (MMD) as a method to quantise probability measures, i.e., to approximate a target distribution by a repre…

stat.ML2020★ 7 cited

Stochastic Stein Discrepancies

Jackson Gorham, Anant Raj, Lester Mackey

Stein discrepancies (SDs) monitor convergence and non-convergence in approximate inference when exact integration and sampling are intractable. However, the computation of a Stein…

stat.CO2019★ 20 cited

Stein Point Markov Chain Monte Carlo

Wilson Ye Chen, Alessandro Barp, François-Xavier Briol +4

An important task in machine learning and statistics is the approximation of a probability measure by an empirical measure supported on a discrete point set. Stein Points are a cla…

stat.CO2018★ 3 cited

Stein Points

Wilson Ye Chen, Lester Mackey, Jackson Gorham +2

An important task in computational statistics and machine learning is to approximate a posterior distribution with an empirical measure supported on a set of representative…

stat.ML2017★ 81 cited

Measuring Sample Quality with Kernels

Jackson Gorham, Lester Mackey

Approximate Markov chain Monte Carlo (MCMC) offers the promise of more rapid sampling at the cost of more biased inference. Since standard MCMC diagnostics fail to detect these bia…

stat.ML2016

Measuring Sample Quality with Diffusions

Jackson Gorham, Andrew B. Duncan, Sebastian J. Vollmer +1

Stein's method for measuring convergence to a continuous target distribution relies on an operator characterizing the target and Stein factor bounds on the solutions of an associat…

math.PR2015

Multivariate Stein Factors for a Class of Strongly Log-concave Distributions

Lester Mackey, Jackson Gorham

We establish uniform bounds on the low-order derivatives of Stein equation solutions for a broad class of multivariate, strongly log-concave target distributions. These "Stein fact…

stat.ML2015★ 110 cited

Measuring Sample Quality with Stein's Method

Jackson Gorham, Lester Mackey

To improve the efficiency of Monte Carlo estimation, practitioners are turning to biased Markov chain Monte Carlo procedures that trade off asymptotic exactness for computational s…

math.AT2011★ 47 cited

Computational topology for configuration spaces of hard disks

Gunnar Carlsson, Jackson Gorham, Matthew Kahle +1

We explore the topology of configuration spaces of hard disks experimentally, and show that several changes in the topology can already be observed with a small number of particles…