version 1.15, 2016/02/07 06:53:00 |
version 1.20, 2016/09/22 02:51:13 |
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> |
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<ol> |
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<li> R.Vidunas, A.Takemura, |
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Differential relations for the largest root distribution |
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of complex non-central Wishart matrices, |
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<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 31 A-Hpergeometric Distributions and Newton Polytopes, |
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Line 45 A-Hpergeometric Distributions and Newton Polytopes, |
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Normalizing Kernels in the Billera-Holmes-Vogtmann Treespace, |
Normalizing Kernels in the Billera-Holmes-Vogtmann Treespace, |
<a href="http://arxiv.org/abs/1506.00142"> arxiv:1506.00142 </a> |
<a href="http://arxiv.org/abs/1506.00142"> arxiv:1506.00142 </a> |
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<li> C.Siriteanu, A.Takemura, C.Koutschan, S.Kuriki, D.St.P.Richards, H.Sin, |
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Exact ZF Analysis and Computer-Algebra-Aided Evaluation |
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in Rank-1 LoS Rician Fading, |
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<a href="http://arxiv.org/abs/1507.07056"> arxiv:1507.07056 </a> |
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<li> K.Ohara, N.Takayama, |
<li> K.Ohara, N.Takayama, |
Pfaffian Systems of A-Hypergeometric Systems II --- |
Pfaffian Systems of A-Hypergeometric Systems II --- |
Holonomic Gradient Method, |
Holonomic Gradient Method, |
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<ul> |
<ul> |
<li> |
<li> |
CRAN package <a href="https//cran.r-project.org/web/packages/hgm/index.html"> hgm </a> (for R). |
CRAN package <a href="https://cran.r-project.org/web/packages/hgm/index.html"> hgm </a> (for R). |
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<li> |
<li> |
Some software packages are experimental and temporary documents are found in |
Some software packages are experimental and temporary documents are found in |
Line 215 maximal Likehood estimates for the Fisher-Bingham dist |
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Line 234 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 1.14 2016/02/07 05:18:20 takayama Exp $ </pre> |
<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.19 2016/09/15 02:25:48 takayama Exp $ </pre> |
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