Title
Geometrically Coupled Monte Carlo Sampling.
Abstract
Monte Carlo sampling in high-dimensional, low-sample settings is important in many machine learning tasks. We improve current methods for sampling in Euclidean spaces by avoiding independence, and instead consider ways to couple samples. We show fundamental connections to optimal transport theory, leading to novel sampling algorithms, and providing new theoretical grounding for existing strategies. We compare our new strategies against prior methods for improving sample efficiency, including quasi-Monte Carlo, by studying discrepancy. We explore our findings empirically, and observe benefits of our sampling schemes for reinforcement learning and generative modelling.
Year
Venue
Keywords
2018
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018)
reinforcement learning,euclidean spaces,monte carlo sampling,sampling algorithms,geometrically coupled monte carlo sampling
Field
DocType
Volume
Monte Carlo method,Mathematical optimization,Transport theory,Computer science,Artificial intelligence,Sampling (statistics),Euclidean geometry,Generative grammar,Gibbs sampling,Machine learning,Reinforcement learning
Conference
31
ISSN
Citations 
PageRank 
1049-5258
2
0.38
References 
Authors
0
7
Name
Order
Citations
PageRank
Rowland, Mark1497.39
Krzysztof Choromanski212423.56
Chalus, François320.38
Aldo Pacchiano41011.62
Tamás Sarlós547725.73
Richard E. Turner632237.95
Adrian Weller714127.59