Title
A Class of Lower Bounds for Bayesian Risk with a Bregman Loss
Abstract
A general class of Bayesian lower bounds when the underlying loss function is a Bregman divergence is demonstrated. This class can be considered as an extension of the Weinstein-Weiss family of bounds for the mean squared error and relies on finding a variational characterization of Bayesian risk. The approach allows for the derivation of a version of the Cramér-Rao bound that is specific to a given Bregman divergence. The effectiveness of the new bound is evaluated in the Poisson noise setting.
Year
DOI
Venue
2020
10.1109/SPAWC48557.2020.9154314
2020 IEEE 21st International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
Keywords
DocType
ISSN
Bayesian risk,Bregman loss,Bayesian lower bounds,underlying loss function,mean squared error,variational characterization,Bregman divergence
Conference
1948-3244
ISBN
Citations 
PageRank 
978-1-7281-5479-4
1
0.39
References 
Authors
12
4
Name
Order
Citations
PageRank
Alex Dytso14520.03
Fauß Michael210.39
H. V. Poor3254111951.66
Michael Fauss469.05