Riemannian Online Algorithms for Estimating Mixture Model Parameters

机译：混合模型参数估计的黎曼在线算法

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This paper introduces a novel algorithm for the online estimate of the Riemannian mixture model parameters. This new approach counts on Riemannian geometry concepts to extend the well-known Tit-terington approach for the online estimate of mixture model parameters in the Euclidean case to the Riemannian manifolds. Here, Riemannian mixtures in the Riemannian manifold of Symmetric Positive Definite (SPD) matrices are analyzed in details, even if the method is well suited for other manifolds.

机译：本文介绍了一种在线估计黎曼混合模型参数的新算法。这种新方法依靠黎曼几何学概念将著名的Tit-terington方法扩展到在线估计欧几里得案例中的混合模型参数到黎曼流形。在此，将详细分析对称正定（SPD）矩阵的黎曼流形中的黎曼混合，即使该方法非常适合于其他流形。

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《International conference on geometric science of information》|2017年|675-683|共9页
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Paolo Zanini; Salem Said; Yannick Berthoumieu; Marco Congedo; Christian Jutten;
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Riemannian mixture estimation; Information geometry; Online EM algorithm;

机译：黎曼混合估计;信息几何;在线EM算法;

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专利

1. Bernoulli mixture models in application to the evaluation of algorithms estimating functionality of missense mutations [J] . Stephanie Hicks, Sharon E Plon, Marek Kimmel BMC proceedings. . 2012,第S6期

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2. A comparative study of evolutionary algorithms and adapting control parameters for estimating the parameters of a single-diode photovoltaic module's model [J] . Muhsen Dhiaa Halboot, Ghazali Abu Bakar, Khatib Tamer, Renewable energy . 2016,第ptaa期

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4. Riemannian Online Algorithms for Estimating Mixture Model Parameters [C] . Paolo Zanini, Salem Said, Yannick Berthoumieu, International SEE Conference on Geometric science of information . 2017

机译：Riemannian在线算法估算混合模型参数
5. Various Approaches on Parameter Estimation in Mixture and Non-mixture Cure Models [D] . Kutal, Durga Hari. 2018

机译：混合和非混合固化模型中参数估计的各种方法
6. Bernoulli mixture models in application to the evaluation of algorithms estimating functionality of missense mutations [O] . Stephanie Hicks, Sharon E Plon, Marek Kimmel 2012

机译：Bernoulli混合模型在评估错义突变功能的算法评估中的应用
7. Riemannian Online Algorithms for Estimating Mixture Model Parameters [O] . Zanini, Paolo,, Said, Salem, Berthoumieu, Yannick, 2017

机译：混合模型参数估计的黎曼在线算法
8. Fast Algorithms for Estimating Mixture Parameters. [R] . Walker, H. F. 1989

机译：估算混合参数的快速算法。

Riemannian Online Algorithms for Estimating Mixture Model Parameters

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