=================================================================== RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v retrieving revision 1.19 retrieving revision 1.32 diff -u -p -r1.19 -r1.32 --- OpenXM/src/hgm/doc/ref-hgm.html 2016/09/15 02:25:48 1.19 +++ OpenXM/src/hgm/doc/ref-hgm.html 2020/08/24 23:24:27 1.32 @@ -2,6 +2,8 @@ + + References for HGM @@ -12,11 +14,53 @@ the Holonomic Gradient Descent Method (HGD)

Papers and Tutorials

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  1. M.Adamer, A.Lorincz, A.L.Sattelberger, B.Sturmfels, Algebraic Analysis of Rotation Data + arxiv: 1912.00396 +
  2. +Anna-Laura Sattelberger, Bernd Sturmfels, +D-Modules and Holonomic Functions + arxiv:1910.01395 +
  3. +N.Takayama, L.Jiu, S.Kuriki, Y.Zhang, +Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix, + + jmva +
  4. M.Harkonen, T.Sei, Y.Hirose, +Holonomic extended least angle regression, + arxiv:1809.08190 +
  5. S.Mano, +Partitions, Hypergeometric Systems, and Dirichlet Processes in Statistics, + +JSS Research Series in Statistics, 2018. +
  6. A.Kume, T.Sei, +On the exact maximum likelihood inference of Fisher–Bingham distributions using an adjusted holonomic gradient method, + doi (2018) +
  7. Yoshihito Tachibana, Yoshiaki Goto, Tamio Koyama, Nobuki Takayama, +Holonomic Gradient Method for Two Way Contingency Tables, + arxiv:1803.04170 +
  8. 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 +
  9. T.Koyama, +An integral formula for the powered sum of the independent, identically and normally distributed random variables, + arxiv:1706.03989 +
  10. H.Hashiguchi, N.Takayama, A.Takemura, +Distribution of Ratio of two Wishart Matrices and Evaluation of Cumulative Probability +by Holonomic Gradient Method, + arxiv:1610.09187 +
  11. R.Vidunas, A.Takemura, Differential relations for the largest root distribution of complex non-central Wishart matrices, arxiv:1609.01799 +
  12. S.Mano, +The A-hypergeometric System Associated with the Rational Normal Curve and +Exchangeable Structures, + arxiv:1607.03569 +
  13. M.Noro, System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions, ACM DL @@ -31,6 +75,9 @@ region with a multivariate normal distribution, arxiv:1512.06564 +
  14. N.Takayama, Holonomic Gradient Method (in Japanese, survey), + +hgm-dic.pdf
  15. N.Takayama, S.Kuriki, A.Takemura, A-Hpergeometric Distributions and Newton Polytopes, @@ -95,7 +142,9 @@ Holonomic Modules Associated with Multivariate Normal Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103 -(major revision v2 of arxiv:1212.6103) +(major revision v2 of arxiv:1212.6103). +Accepted version is at + DOI
  16. Intro @@ -229,6 +278,6 @@ maximal Likehood estimates for the Fisher-Bingham dist
  17. d-dimensional Fisher-Bingham System
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