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Line 14  the Holonomic Gradient Descent Method  (HGD) </h1>
Line 14  the Holonomic Gradient Descent Method  (HGD) </h1>
   
 <h2> Papers  and Tutorials</h2>  <h2> Papers  and Tutorials</h2>
 <ol>  <ol>
   <li> Nobuki Takayama, Takaharu Yaguchi, Yi Zhang,
   Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics,
   <a href="https://arxiv.org/abs/2111.10947"> arxiv:2111.10947 </a>
   
   <li> Shuhei Mano, Nobuki Takayama,
   Algebraic algorithm for direct sampling from toric models,
   <a href="https://arxiv.org/abs/2110.14992"> arxiv:2110.14992 </a>
   
   <li> M.Adamer, A.Lorincz, A.L.Sattelberger, B.Sturmfels, Algebraic Analysis of Rotation Data
   <a href="https://arxiv.org/abs/1912.00396"> arxiv: 1912.00396 </a>
 <li>  <li>
 Anna-Laura Sattelberger, Bernd Sturmfels,  Anna-Laura Sattelberger, Bernd Sturmfels,
 D-Modules and Holonomic Functions  D-Modules and Holonomic Functions
Line 21  D-Modules and Holonomic Functions
Line 31  D-Modules and Holonomic Functions
 <li>  <li>
 N.Takayama, L.Jiu, S.Kuriki, Y.Zhang,  N.Takayama, L.Jiu, S.Kuriki, Y.Zhang,
 Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix,  Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix,
 <a href="https://arxiv.org/abs/1903.10099"> arxiv:1903.10099 </a>  <!--
   <a href="https://arxiv.org/abs/1903.10099"> arxiv:1903.10099 </a> -->
   <a href="https://doi.org/10.1016/j.jmva.2020.104642"> jmva </a>
 <li> M.Harkonen, T.Sei, Y.Hirose,  <li> M.Harkonen, T.Sei, Y.Hirose,
 Holonomic extended least angle regression,  Holonomic extended least angle regression,
 <a href="https://arxiv.org/abs/1809.08190"> arxiv:1809.08190 </a>  <a href="https://arxiv.org/abs/1809.08190"> arxiv:1809.08190 </a>
Line 55  of complex non-central Wishart matrices,
Line 67  of complex non-central Wishart matrices,
 <li> S.Mano,  <li> S.Mano,
 The A-hypergeometric System Associated with the Rational Normal Curve and  The A-hypergeometric System Associated with the Rational Normal Curve and
 Exchangeable Structures,  Exchangeable Structures,
   <a href="http://doi.org/10.1214/17-EJS1361"> doi </a>,
 <a href="http://arxiv.org/abs/1607.03569"> arxiv:1607.03569 </a>  <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 71  region
Line 85  region
 with a multivariate normal distribution,  with a multivariate normal distribution,
 <a href="http://arxiv.org/abs/1512.06564">  arxiv:1512.06564 </a>  <a href="http://arxiv.org/abs/1512.06564">  arxiv:1512.06564 </a>
   
   <li> N.Takayama, Holonomic Gradient Method (in Japanese, survey),
   <a href="http://www.math.kobe-u.ac.jp/HOME/taka/2015/hgm-dic.pdf">
   hgm-dic.pdf </a>
   
 <li> N.Takayama, S.Kuriki, A.Takemura,  <li> N.Takayama, S.Kuriki, A.Takemura,
 A-Hpergeometric Distributions and Newton Polytopes,  A-Hpergeometric Distributions and Newton Polytopes,
Line 271  maximal Likehood estimates for the Fisher-Bingham dist
Line 288  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 1.28 2019/04/23 22:51:12 takayama Exp $ </pre>  <pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.33 2021/12/13 04:40:21 takayama Exp $ </pre>
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