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version 1.21, 2016/11/03 23:05:22 |
Line 12 the Holonomic Gradient Descent Method (HGD) </h1> |
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Line 12 the Holonomic Gradient Descent Method (HGD) </h1> |
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<h2> Papers and Tutorials</h2> |
<h2> Papers and Tutorials</h2> |
<ol> |
<ol> |
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<li> H.Hashiguchi, N.Takayama, A.Takemura, |
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Distribution of Ratio of two Wishart Matrices and Evaluation of Cumulative Probability |
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by Holonomic Gradient Method, |
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<a href="https://arxiv.org/abs/1610.09187"> arxiv:1610.09187 </a> |
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<li> R.Vidunas, A.Takemura, |
<li> R.Vidunas, A.Takemura, |
Differential relations for the largest root distribution |
Differential relations for the largest root distribution |
of complex non-central Wishart matrices, |
of complex non-central Wishart matrices, |
<a href="http://arxiv.org/abs/1609.01799"> arxiv:1609.01799 </a> |
<a href="http://arxiv.org/abs/1609.01799"> arxiv:1609.01799 </a> |
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<li> S.Mano, |
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The A-hypergeometric System Associated with the Rational Normal Curve and |
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Exchangeable Structures, |
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<a href="http://arxiv.org/abs/1607.03569"> arxiv:1607.03569 </a> |
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<li> M.Noro, |
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System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions, |
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<a href="http://dl.acm.org/citation.cfm?doid=2930889.2930905"> ACM DL </a> |
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<li> Y.Goto, K.Matsumoto, |
<li> Y.Goto, K.Matsumoto, |
Pfaffian equations and contiguity relations of the hypergeometric function of type (k+1,k+n+2) and their applications, |
Pfaffian equations and contiguity relations of the hypergeometric function of type (k+1,k+n+2) and their applications, |
<a href="http://arxiv.org/abs/1602.01637"> arxiv:1602.01637 </a> |
<a href="http://arxiv.org/abs/1602.01637"> arxiv:1602.01637 </a> |
Line 225 maximal Likehood estimates for the Fisher-Bingham dist |
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Line 239 maximal Likehood estimates for the Fisher-Bingham dist |
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<li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/Fisher-Bingham-2"> d-dimensional Fisher-Bingham System </a> |
<li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/Fisher-Bingham-2"> d-dimensional Fisher-Bingham System </a> |
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<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.17 2016/04/30 11:15:58 takayama Exp $ </pre> |
<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.20 2016/09/22 02:51:13 takayama Exp $ </pre> |
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