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Crossmodal counterpoint: from music to multimedia - incongruency, cognitive dissonance, irony, and surrealism. [PDF]
Spence C, Di Stefano N.
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Information Geometry-Based Two-Stage Track-Before-Detect Algorithm for Multi-Target Detection in Sea Clutter. [PDF]
Liu J, Wu H, Yang Z, Hua X, Cheng Y.
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Born's Rule from Contextual Relative-Entropy Minimization. [PDF]
Zaghi A.
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Achieving well-informed decision-making in drug discovery: a comprehensive calibration study using neural network-based structure-activity models. [PDF]
Friesacher HR +4 more
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2008 IEEE International Symposium on Information Theory, 2008
To characterize the differences between two positive functions or two distributions, a class of distortion functions has recently been defined termed the functional Bregman divergences. The class generalizes the standard Bregman divergence defined for vectors, and includes total squared difference and relative entropy.
Bela A. Frigyik +2 more
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To characterize the differences between two positive functions or two distributions, a class of distortion functions has recently been defined termed the functional Bregman divergences. The class generalizes the standard Bregman divergence defined for vectors, and includes total squared difference and relative entropy.
Bela A. Frigyik +2 more
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Clustering with Bregman Divergences
Proceedings of the 2004 SIAM International Conference on Data Mining, 2004A wide variety of distortion functions, such as squared Euclidean distance, Mahalanobis distance, Itakura-Saito distance and relative entropy, have been used for clustering. In this paper, we propose and analyze parametric hard and soft clustering algorithms based on a large class of distortion functions known as Bregman divergences.
Arindam Banerjee +3 more
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Cost-Sensitive Sequences of Bregman Divergences
IEEE Transactions on Neural Networks and Learning Systems, 2012The minimization of the empirical risk based on an arbitrary Bregman divergence is known to provide posterior class probability estimates in classification problems, but the accuracy of the estimate for a given value of the true posterior depends on the specific choice of the divergence.
Santos-Rodriguez, Raúl +1 more
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Bregman Divergences and Surrogates for Learning
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009Bartlett et al. (2006) recently proved that a ground condition for surrogates, classification calibration, ties up their consistent minimization to that of the classification risk, and left as an important problem the algorithmic questions about their minimization.
Richard, Nock, Frank, Nielsen
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Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences
2021We first introduce the class of strictly quasiconvex and strictly quasiconcave Jensen divergences which are asymmetric distances, and study some of their properties. We then define the strictly quasiconvex Bregman divergences as the limit case of scaled and skewed quasiconvex Jensen divergences, and report a simple closed-form formula which shows that ...
Frank Nielsen, Gaëtan Hadjeres
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