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physics.data-an2018★ 26 cited
Density estimation on small datasets
Wei-Chia Chen, Ammar Tareen, Justin B. Kinney
How might a smooth probability distribution be estimated, with accurately quantified uncertainty, from a limited amount of sampled data? Here we describe a field-theoretic approach…
physics.data-an2014★ 17 cited
Unification of field theory and maximum entropy methods for learning probability densities
Justin B. Kinney
The need to estimate smooth probability distributions (a.k.a. probability densities) from finite sampled data is ubiquitous in science. Many approaches to this problem have been de…
physics.data-an2013★ 22 cited
Rapid and deterministic estimation of probability densities using scale-free field theories
Justin B. Kinney
The question of how best to estimate a continuous probability density from finite data is an intriguing open problem at the interface of statistics and physics. Previous work has a…