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Titlebook: Computational Information Geometry; For Image and Signal Frank Nielsen,Frank Critchley,Christopher T. J. Do Book 2017 Springer Internationa

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Batch and Online Mixture Learning: A Review with Extensions, the gradient-based and stochastic gradient-based optimization methods and their generalizations. We then focuses on two stochastic versions of the celebrated Expectation-Maximization (EM) algorithm: Titterington’s second-order stochastic gradient EM and Cappé and Moulines’ online EM. Depending on w
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GI/GI/1 FIFO Queues and Random Walks,ower divergence class under a normal mean model, where the true distribution is, for example, a mixture of . distributions. Then we observe that the local minima of the empirical loss function for the power divergence properly suggest the . means if they are mutually separated in the mixture distrib
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Emma Horton,Andreas E. Kyprianouically consistent. Then, we propose to use clustering with a much broader application than the filtering of empirical covariance matrices from the estimated correlation coefficients. To be able to do that, we need to obtain distances between the financial time series that incorporate all the availab
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Emma Horton,Andreas E. Kyprianoue approach. The free parameters associated with these square-root estimators can be rigorously selected using the Minimum Description Length (MDL) criterion for model selection. Under these models, it is shown that the MDL has a closed-form representation, atypical for most applications of MDL in de
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Martingales and Path Decompositionshe space of square roots of densities or of densities themselves was used, without taking an infinite dimensional manifold environment space for the equation to be projected. Here we re-examine such works from the exponential statistical manifold point of view, which allows for a deeper geometric un
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