On the Estimation of alpha-Divergences

By Barnab'as P'oczos, Jeff Schneider. 2011

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Citations in the corpus

Nonparametric Divergence Estimation with Applications to Machine Learning on Distributions (2011, methodology): “For the estimation of Rényi divergence, we will use the estimator developed in Póczos and Schneider (2011).”
Nonparametric Estimation of Renyi Divergence and Friends (2014, methodology): “[16] Barnabás Póczos and Jeff Schneider.”
Tighter Variational Representations of f-Divergences via Restriction to Probability Measures (2012, methodology): “For instance we could study α -divergence estimation as in (Poczos & Schneider, 2011).”
Practical and Consistent Estimation of f-Divergences (2019, background): “While the majority of this focuses on ↵-divergences and closely related Rényi-↵ divergences [35, 37, 22], many works address specifically the KL-divergence [34, 39] with fewer considering f -divergences in full generality [28, 20, 26, 27].”
On Estimating $L_2^2$ Divergence (2014, methodology): “2 Related Work There are a few other works that have considered estimation of the L2-divergence under non-parametric assumptions [1, 15, 9].”
On the Estimation of α-Divergences (2011, methodology): “Due to a lack of space, we provide many details of the proofs in Póczos and Schneider (2011). The analysis of the asymptotic variances of our estimators follows an approach similar to their biases but is more complex; therefore, we relegate this material into Póczos and Schneider (2011) as well.”
On Estimating L 22 Divergence (2014, background): “here and it has also been used for other divergence estimation problems [18].”