Deep Mutual Density Ratio Estimation with Bregman Divergence and Its Applications
Sign Up to like & getrecommendations! Published in 2025 at "Journal of the American Statistical Association"
DOI: 10.1080/01621459.2025.2507437
Abstract: Abstract This article introduces a unified approach to estimating the mutual density ratio, defined as the ratio between the joint density function and the product of the individual marginal density functions of two random vectors.… read more here.
Keywords: mutual density; bregman divergence; density ratio; estimation ... See more keywords
Bregman Divergence Based Em Algorithm and its Application to Classical and Quantum Rate Distortion Theory
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DOI: 10.1109/tit.2023.3239955
Abstract: We formulate em algorithm in the framework of Bregman divergence, which is a general problem setting of information geometry. That is, we address the minimization problem of the Bregman divergence between an exponential subfamily and… read more here.
Keywords: theory; rate distortion; rate; bregman divergence ... See more keywords
Upper and lower bounds for the Bregman divergence
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1953-y
Abstract: In this paper we study upper and lower bounds on the Bregman divergence ΔFξ(y,x):=F(y)−F(x)−〈ξ,y−x〉$\Delta_{\mathcal {F}}^{\xi }(y,x):=\mathcal {F}(y)-\mathcal {F}(x)- \langle \xi , y-x \rangle$ for some convex functional F$\mathcal {F}$ on a normed space X$\mathcal {X}$,… read more here.
Keywords: lower bounds; upper lower; bounds bregman; bregman divergence ... See more keywords