منابع مشابه
Bregman and Burbea-rao Divergence for Matrices
In this paper, the Bregman and Burbea-Rao divergences for matrices are investigated. Two mean-value theorems for the divergences induced by C-functions are derived. As application, certain Cauchy type means of the entries of the matrices are constructed. By utilizing three classes of parametrized convex functions, the exponential convexity of the divergences, thought as a function of the parame...
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The paper considers a family of probability distributions depending on a parameter. The goal is to derive the generalized versions of Cramér-Rao and Bhattacharyya inequalities for the weighted covariance matrix and of the Kullback inequality for the weighted Kullback distance, which are important objects themselves [9, 23, 28]. The asymptotic forms of these inequalities for a particular family ...
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We introduce a new class of kernels between distributions. These induce a kernel on the input space between data points by associating to each datum a generative model fit to the data point individually. The kernel is then computed by integrating the product of the two generative models corresponding to two data points. This kernel permits discriminative estimation via, for instance, support ve...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2011
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2011.2159046