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RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v
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retrieving revision 1.19
diff -u -p -r1.12 -r1.19
--- OpenXM/src/hgm/doc/ref-hgm.html 2016/02/05 01:58:34 1.12
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@@ -3,7 +3,7 @@
References for HGM
-
+
@@ -12,10 +12,69 @@ the Holonomic Gradient Descent Method (HGD)
Papers and Tutorials
+- R.Vidunas, A.Takemura,
+Differential relations for the largest root distribution
+of complex non-central Wishart matrices,
+ arxiv:1609.01799
+
+
- M.Noro,
+System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions,
+ ACM DL
+
- Y.Goto, K.Matsumoto,
Pfaffian equations and contiguity relations of the hypergeometric function of type (k+1,k+n+2) and their applications,
- arxiv:1602.01637
+ arxiv:1602.01637
+
- T.Koyama,
+Holonomic gradient method for the probability content of a simplex
+region
+with a multivariate normal distribution,
+ arxiv:1512.06564
+
+
+
- N.Takayama, S.Kuriki, A.Takemura,
+A-Hpergeometric Distributions and Newton Polytopes,
+ arxiv:1510.02269
+
+
- G.Weyenberg, R.Yoshida, D.Howe,
+Normalizing Kernels in the Billera-Holmes-Vogtmann Treespace,
+ arxiv:1506.00142
+
+
- C.Siriteanu, A.Takemura, C.Koutschan, S.Kuriki, D.St.P.Richards, H.Sin,
+Exact ZF Analysis and Computer-Algebra-Aided Evaluation
+in Rank-1 LoS Rician Fading,
+ arxiv:1507.07056
+
+
- K.Ohara, N.Takayama,
+Pfaffian Systems of A-Hypergeometric Systems II ---
+Holonomic Gradient Method,
+ arxiv:1505.02947
+
+
- T.Koyama,
+The Annihilating Ideal of the Fisher Integral,
+ arxiv:1503.05261
+
+
- T.Koyama, A.Takemura,
+Holonomic gradient method for distribution function of a weighted sum
+of noncentral chi-square random variables,
+ arxiv:1503.00378
+
+
- Y.Goto,
+Contiguity relations of Lauricella's F_D revisited,
+ arxiv:1412.3256
+
+
-
+T.Koyama, H.Nakayama, K.Ohara, T.Sei, N.Takayama,
+Software Packages for Holonomic Gradient Method,
+Mathematial Software --- ICMS 2014,
+4th International Conference, Proceedings.
+Edited by Hoon Hong and Chee Yap,
+Springer lecture notes in computer science 8592,
+706--712.
+
+DOI
+
+
- N.Marumo, T.Oaku, A.Takemura,
Properties of powers of functions satisfying second-order linear differential equations with applications to statistics,
arxiv:1405.4451
@@ -93,8 +152,19 @@ Holonomic Gradient Descent and its Application to Fis
Advances in Applied Mathematics 47 (2011), 639--658,
DOI
+
+Early papers related to HGM.
+
+-
+H.Dwinwoodie, L.Matusevich, E. Mosteig,
+Transform methods for the hypergeometric distribution,
+Statistics and Computing 14 (2004), 287--297.
+
+
+
+
Three Steps of HGM
- Finding a holonomic system satisfied by the normalizing constant.
@@ -111,7 +181,13 @@ equations.
Software Packages for HGM
-Most software packages are experimental and temporary documents are found in
+
+
+
+
Programs to try examples of our papers
- d-dimensional Fisher-Bingham System
- $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.11 2014/05/20 02:12:18 takayama Exp $
+ $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.18 2016/09/11 22:55:33 takayama Exp $