===================================================================
RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v
retrieving revision 1.5
retrieving revision 1.10
diff -u -p -r1.5 -r1.10
--- OpenXM/src/hgm/doc/ref-hgm.html 2014/03/26 05:02:18 1.5
+++ OpenXM/src/hgm/doc/ref-hgm.html 2014/05/16 11:30:31 1.10
@@ -12,6 +12,14 @@ the Holonomic Gradient Descent Method (HGD)
Papers and Tutorials
+- J.Hayakawa, A.Takemura,
+Estimation of exponential-polynomial distribution by holonomic gradient descent
+ arxiv:1403.7852
+
+
- C.Siriteanu, A.Takemura, S.Kuriki,
+MIMO Zero-Forcing Detection Performance Evaluation by Holonomic Gradient Method
+ arxiv:1403.3788
+
- T.Koyama,
Holonomic Modules Associated with Multivariate Normal Probabilities of Polyhedra,
arxiv:1311.6905
@@ -80,30 +88,49 @@ Advances in Applied Mathematics 47 (2011), 639--658,
Three Steps of HGM
-- Find a holonomic system satisfied by the normalizing constant.
+
- Finding a holonomic system satisfied by the normalizing constant.
We may use computational or theoretical methods to find it.
Groebner basis and related methods are used.
-
- Find an initial value vector for the holonomic system.
+
- Finding an initial value vector for the holonomic system.
This is equivalent to evaluating the normalizing constant and its derivatives
at a point.
This step is usually performed by a series expansion.
-
- Solve the holonomic system numerically. We use several methods
+
- Solving the holonomic system numerically. We use several methods
in numerical analysis such as the Runge-Kutta method of solving
ordinary differential equations and efficient solvers of systems of linear
equations.
Software Packages for HGM
+Most software packages are experimental and temporary documents are found in
+"asir-contrib manual" (auto-autogenerated part), or
+"Experimental Functions in Asir", or "miscellaneous and other documents"
+of the
+
+OpenXM documents
+or in this folder.
+The nightly snapshot of the asir-contrib can be found in the asir page below,
+or look up our
+cvsweb page.
-- hgm package for R for the step 3.
-
- yang (for Pfaffian systems) , nk_restriction (for D-module integrations),
-tk_jack (for Jack polynomials), ko_fb_pfaffian (Pfaffian system for the Fisher-Bingham system)
-are for the steps 1 or 2 and in the
- asir-contrib
-
- nk_fb_gen_c is a package to generate a C program to perform
-maximal Likehood estimates for the Fisher-Bingham distribution by HGD (holonomic gradient descent)
-It is in the
- asir-contrib
+
- Command line interfaces are in the folder OpenXM/src/hgm
+in the OpenXM source tree. See
+OpenXM distribution page .
+
- hgm package for R (hgm_*tar.gz, hgm-manual.pdf) for the step 3.
+
- The following packages are
+for the computer algebra system
+ Risa/Asir.
+They are in the asir-contrib collection.
+
+- yang.rr (for Pfaffian systems) ,
+nk_restriction.rr (for D-module integrations),
+tk_jack.rr (for Jack polynomials),
+ko_fb_pfaffian.rr (Pfaffian system for the Fisher-Bingham system),
+are for the steps 1 or 2.
+
- nk_fb_gen_c.rr is a package to generate a C program to perform
+maximal Likehood estimates for the Fisher-Bingham distribution by HGD (holonomic gradient descent).
+
- ot_hgm_ahg.rr (HGM for A-distributions, very experimental).
+
Programs to try examples of our papers
@@ -111,6 +138,6 @@ It is in the
- d-dimensional Fisher-Bingham System
- $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.4 2014/03/24 21:03:55 takayama Exp $
+ $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.9 2014/05/15 07:34:05 takayama Exp $