=================================================================== RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v retrieving revision 1.23 retrieving revision 1.33 diff -u -p -r1.23 -r1.33 --- OpenXM/src/hgm/doc/ref-hgm.html 2017/07/12 01:32:58 1.23 +++ OpenXM/src/hgm/doc/ref-hgm.html 2021/12/13 04:40:21 1.33 @@ -2,6 +2,8 @@ + + References for HGM @@ -12,8 +14,42 @@ the Holonomic Gradient Descent Method (HGD)

Papers and Tutorials

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  1. F.H.Danufane, K.Ohara, N.Takayama, -Holonomic Gradient Method for the Distribution Function of the Largest Root of Complex Non-central Wishart Matrices, +
  2. Nobuki Takayama, Takaharu Yaguchi, Yi Zhang, +Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics, + arxiv:2111.10947 + +
  3. Shuhei Mano, Nobuki Takayama, +Algebraic algorithm for direct sampling from toric models, + arxiv:2110.14992 + +
  4. M.Adamer, A.Lorincz, A.L.Sattelberger, B.Sturmfels, Algebraic Analysis of Rotation Data + arxiv: 1912.00396 +
  5. +Anna-Laura Sattelberger, Bernd Sturmfels, +D-Modules and Holonomic Functions + arxiv:1910.01395 +
  6. +N.Takayama, L.Jiu, S.Kuriki, Y.Zhang, +Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix, + + jmva +
  7. M.Harkonen, T.Sei, Y.Hirose, +Holonomic extended least angle regression, + arxiv:1809.08190 +
  8. S.Mano, +Partitions, Hypergeometric Systems, and Dirichlet Processes in Statistics, + +JSS Research Series in Statistics, 2018. +
  9. A.Kume, T.Sei, +On the exact maximum likelihood inference of Fisher–Bingham distributions using an adjusted holonomic gradient method, + doi (2018) +
  10. Yoshihito Tachibana, Yoshiaki Goto, Tamio Koyama, Nobuki Takayama, +Holonomic Gradient Method for Two Way Contingency Tables, + arxiv:1803.04170 +
  11. F.H.Danufane, K.Ohara, N.Takayama, C.Siriteanu, +Holonomic Gradient Method-Based CDF Evaluation for the Largest Eigenvalue of a Complex Noncentral Wishart Matrix +(Title of the version 1: Holonomic Gradient Method for the Distribution Function of the Largest Root of Complex Non-central Wishart Matrices), arxiv:1707.02564
  12. T.Koyama, An integral formula for the powered sum of the independent, identically and normally distributed random variables, @@ -47,6 +83,9 @@ region with a multivariate normal distribution, arxiv:1512.06564 +
  13. N.Takayama, Holonomic Gradient Method (in Japanese, survey), + +hgm-dic.pdf
  14. N.Takayama, S.Kuriki, A.Takemura, A-Hpergeometric Distributions and Newton Polytopes, @@ -247,6 +286,6 @@ maximal Likehood estimates for the Fisher-Bingham dist
  15. d-dimensional Fisher-Bingham System
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