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By calculating the Kullback–Leibler divergence between two probability measures belonging to different exponential families dominated by the same measure, we obtain a formula that generalizes the ordinary Fenchel–Young divergence.
Frank Nielsen
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The Kullback-Leibler Divergence Class in Decoding the Chest Sound Pattern [PDF]
Kullback-Leibler Divergence Class or relative entropy is a special case of broader divergence. It represents a calculation of how one probability distribution diverges from another one, expected probability distribution. Kullback-Leibler divergence has a
Antonio CLIM, Razvan Daniel ZOTA
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Chained Kullback-Leibler divergences [PDF]
We define and characterize the "chained" Kullback-Leibler divergence min w D(p‖w) + D(w‖q) minimized over all intermediate distributions w and the analogous k-fold chained K-L divergence min D(p‖wk-1) + … + D(w2‖w1) + D(w1‖q) minimized over the entire path (w1,…,wk-1).
Dmitri S. Pavlichin, Tsachy Weissman
openaire +2 more sources
Parameter Estimation Based on Cumulative Kullback–Leibler Divergence
In this paper, we propose some estimators for the parameters of a statistical model based on Kullback–Leibler divergence of the survival function in continuous setting and apply it to type I censored data.
Yaser Mehrali , Majid Asadi
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Model Averaging Estimation Method by Kullback–Leibler Divergence for Multiplicative Error Model
In this paper, we propose the model averaging estimation method for multiplicative error model and construct the corresponding weight choosing criterion based on the Kullback–Leibler divergence with a hyperparameter to avoid the problem of overfitting ...
Wanbo Lu, Wenhui Shi
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On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds
We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
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Applications of a Kullback-Leibler divergence for comparing non-nested models [PDF]
Chen-Pin Wang, Booil Jo
exaly +2 more sources
Monotonic decrease of the quantum nonadditive divergence by projective measurements [PDF]
Nonadditive (nonextensive) generalization of the quantum Kullback-Leibler divergence, termed the quantum q-divergence, is shown not to increase by projective measurements in an elementary manner.Comment: 10 pages, no figures.
Abe +27 more
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Time series irreversibility: a visibility graph approach [PDF]
We propose a method to measure real-valued time series irreversibility which combines two differ- ent tools: the horizontal visibility algorithm and the Kullback-Leibler divergence.
A. Nuñez +33 more
core +3 more sources
Some bounds for skewed α-Jensen-Shannon divergence
Based on the skewed Kullback-Leibler divergence introduced in the natural language processing, we derive the upper and lower bounds on the skewed version of the Jensen-Shannon divergence and investigate properties of them.
Takuya Yamano
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