Information Geometry for Radar Target Detection with Total Jensen–Bregman Divergence [PDF]
Entropy, 2018 This paper proposes a radar target detection algorithm based on information geometry. In particular, the correlation of sample data is modeled as a Hermitian positive-definite (HPD) matrix. Moreover, a class of total Jensen–Bregman divergences, including
Xiaoqiang Hua +2 more
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Information Geometry for Covariance Estimation in Heterogeneous Clutter with Total Bregman Divergence [PDF]
Entropy, 2018 This paper presents a covariance matrix estimation method based on information geometry in a heterogeneous clutter. In particular, the problem of covariance estimation is reformulated as the computation of geometric median for covariance matrices ...
Xiaoqiang Hua +2 more
exaly +5 more sources
Upper and lower bounds for the Bregman divergence [PDF]
Journal of Inequalities and Applications, 2019 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 ...
Benjamin Sprung
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A Characterization of the Domain of Beta-Divergence and Its Connection to Bregman Variational Model
Entropy, 2017 In image and signal processing, the beta-divergence is well known as a similarity measure between two positive objects. However, it is unclear whether or not the distance-like structure of beta-divergence is preserved, if we extend the domain of the beta-
Hyenkyun Woo
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Equivalence of Informations Characterizes Bregman Divergences [PDF]
EntropyBregman divergences form a class of distance-like comparison functions which plays fundamental roles in optimization, statistics, and information theory.
Philip S. Chodrow
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Wireless Sensor Network Localization via Matrix Completion Based on Bregman Divergence [PDF]
Sensors, 2018 One of the main challenges faced by wireless sensor network (WSN) localization is the positioning accuracy of the WSN node. The existing algorithms are arduous to use for dealing with the pulse noise that is universal and ineluctable in practical ...
Chunsheng Liu, Hong Shan, Bin Wang
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Multivariate Time Series Change-Point Detection with a Novel Pearson-like Scaled Bregman Divergence [PDF]
StatsChange-point detection is a challenging problem that has a number of applications across various real-world domains. The primary objective of CPD is to identify specific time points where the underlying system undergoes transitions between different ...
Tong Si +5 more
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Tight Bounds Between the Jensen–Shannon Divergence and the Minmax Divergence [PDF]
EntropyMotivated by questions arising at the intersection of information theory and geometry, we compare two dissimilarity measures between finite categorical distributions.
Arseniy Akopyan +3 more
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Anomaly Detection in High-Dimensional Time Series Data with Scaled Bregman Divergence [PDF]
AlgorithmsThe purpose of anomaly detection is to identify special data points or patterns that significantly deviate from the expected or typical behavior of the majority of the data, and it has a wide range of applications across various domains.
Yunge Wang +4 more
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Block-Active ADMM to Minimize NMF with Bregman Divergences [PDF]
Sensors, 2023 Over the last ten years, there has been a significant interest in employing nonnegative matrix factorization (NMF) to reduce dimensionality to enable a more efficient clustering analysis in machine learning.
Xinyao Li, Akhilesh Tyagi
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