Divergence measures for statistical data processing—An annotated bibliography

M Basseville - Signal Processing, 2013‏ - Elsevier
Divergence measures for statistical data processing—An annotated bibliography -
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Density-ratio matching under the bregman divergence: a unified framework of density-ratio estimation

M Sugiyama, T Suzuki, T Kanamori - Annals of the Institute of Statistical …, 2012‏ - Springer
Estimation of the ratio of probability densities has attracted a great deal of attention since it
can be used for addressing various statistical paradigms. A naive approach to density-ratio …

Robust point set registration using gaussian mixture models

B Jian, BC Vemuri - IEEE transactions on pattern analysis and …, 2010‏ - ieeexplore.ieee.org
In this paper, we present a unified framework for the rigid and nonrigid point set registration
problem in the presence of significant amounts of noise and outliers. The key idea of this …

Families of alpha-beta-and gamma-divergences: Flexible and robust measures of similarities

A Cichocki, S Amari - Entropy, 2010‏ - mdpi.com
In this paper, we extend and overview wide families of Alpha-, Beta-and Gamma-
divergences and discuss their fundamental properties. In literature usually only one single …

[ספר][B] Statistical inference: the minimum distance approach

A Basu, H Shioya, C Park - 2011‏ - books.google.com
This book gives a comprehensive account of density-based minimum distance methods and
their use in statistical inference. It covers statistical distances, density-based minimum …

[ספר][B] Confidence, likelihood, probability

T Schweder, NL Hjort - 2016‏ - books.google.com
This lively book lays out a methodology of confidence distributions and puts them through
their paces. Among other merits they lead to optimal combinations of confidence from …

The focused information criterion

G Claeskens, NL Hjort - Journal of the American Statistical …, 2003‏ - Taylor & Francis
A variety of model selection criteria have been developed, of general and specific types.
Most of these aim at selecting a single model with good overall properties, for example …

[HTML][HTML] Robust parameter estimation with a small bias against heavy contamination

H Fujisawa, S Eguchi - Journal of Multivariate Analysis, 2008‏ - Elsevier
In this paper we consider robust parameter estimation based on a certain cross entropy and
divergence. The robust estimate is defined as the minimizer of the empirically estimated …

[HTML][HTML] Generalized alpha-beta divergences and their application to robust nonnegative matrix factorization

A Cichocki, S Cruces, S Amari - Entropy, 2011‏ - mdpi.com
We propose a class of multiplicative algorithms for Nonnegative Matrix Factorization (NMF)
which are robust with respect to noise and outliers. To achieve this, we formulate a new …

Choosing a robustness tuning parameter

J Warwick, MC Jones - Journal of Statistical Computation and …, 2005‏ - Taylor & Francis
A novel method is proposed for choosing the tuning parameter associated with a family of
robust estimators. It consists of minimising estimated mean squared error, an approach that …