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Line 12  the Holonomic Gradient Descent Method  (HGD) </h1>
Line 12  the Holonomic Gradient Descent Method  (HGD) </h1>
   
 <h2> Papers  and Tutorials</h2>  <h2> Papers  and Tutorials</h2>
 <ol>  <ol>
   <li> Yoshihito Tachibana, Yoshiaki Goto, Tamio Koyama, Nobuki Takayama,
   Holonomic Gradient Method for Two Way Contingency Tables,
   <a href="https://arxiv.org/abs/1803.04170"> arxiv:1803.04170
   <li> F.H.Danufane, K.Ohara, N.Takayama,
   Holonomic Gradient Method for the Distribution Function of the Largest Root of Complex Non-central Wishart Matrices,
   <a href="https://arxiv.org/abs/1707.02564"> arxiv:1707.02564 </a>
   <li> T.Koyama,
   An integral formula for the powered sum of the independent, identically and normally distributed random variables,
   <a href="https://arxiv.org/abs/1706.03989"> arxiv:1706.03989 </a>
   <li> H.Hashiguchi, N.Takayama, A.Takemura,
   Distribution of Ratio of two Wishart Matrices and Evaluation of Cumulative Probability
   by Holonomic Gradient Method,
   <a href="https://arxiv.org/abs/1610.09187"> arxiv:1610.09187 </a>
   
 <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>
   
   <li> S.Mano,
   The A-hypergeometric System Associated with the Rational Normal Curve and
   Exchangeable Structures,
   <a href="http://arxiv.org/abs/1607.03569"> arxiv:1607.03569 </a>
   
 <li> M.Noro,  <li> M.Noro,
 System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions,  System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions,
 <a href="http://dl.acm.org/citation.cfm?doid=2930889.2930905"> ACM DL </a>  <a href="http://dl.acm.org/citation.cfm?doid=2930889.2930905"> ACM DL </a>
Line 95  Holonomic Modules Associated with Multivariate Normal 
Line 114  Holonomic Modules Associated with Multivariate Normal 
 Pfaffian Systems of A-Hypergeometric Equations I,  Pfaffian Systems of A-Hypergeometric Equations I,
 Bases of Twisted Cohomology Groups,  Bases of Twisted Cohomology Groups,
 <a href="http://arxiv.org/abs/1212.6103"> arxiv:1212.6103 </a>  <a href="http://arxiv.org/abs/1212.6103"> arxiv:1212.6103 </a>
 (major revision v2 of arxiv:1212.6103)  (major revision v2 of arxiv:1212.6103).
   Accepted version is at
   <a href="http://dx.doi.org/10.1016/j.aim.2016.10.021"> DOI </a>
   
 <li> <img src="./wakaba01.png" alt="Intro">  <li> <img src="./wakaba01.png" alt="Intro">
 <a href="http://link.springer.com/book/10.1007/978-4-431-54574-3">  <a href="http://link.springer.com/book/10.1007/978-4-431-54574-3">
Line 229  maximal Likehood estimates for the Fisher-Bingham dist
Line 250  maximal Likehood estimates for the Fisher-Bingham dist
 <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>
 </ol>  </ol>
   
 <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.18 2016/09/11 22:55:33 takayama Exp $ </pre>  <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.23 2017/07/12 01:32:58 takayama Exp $ </pre>
 </body>  </body>
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