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version 1.11, 2014/05/20 02:12:18 |
Line 12 the Holonomic Gradient Descent Method (HGD) </h1> |
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Line 12 the Holonomic Gradient Descent Method (HGD) </h1> |
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<h2> Papers and Tutorials</h2> |
<h2> Papers and Tutorials</h2> |
<ol> |
<ol> |
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<li>N.Marumo, T.Oaku, A.Takemura, |
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Properties of powers of functions satisfying second-order linear differential equations with applications to statistics, |
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<a href="http://arxiv.org/abs/1405.4451"> arxiv:1405.4451</a> |
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<li> J.Hayakawa, A.Takemura, |
<li> J.Hayakawa, A.Takemura, |
Estimation of exponential-polynomial distribution by holonomic gradient descent |
Estimation of exponential-polynomial distribution by holonomic gradient descent |
<a href="http://arxiv.org/abs/1403.7852"> arxiv:1403.7852</a> |
<a href="http://arxiv.org/abs/1403.7852"> arxiv:1403.7852</a> |
Line 51 Calculation of Orthant Probabilities by the Holonomic |
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Line 55 Calculation of Orthant Probabilities by the Holonomic |
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<li>T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama, |
<li>T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama, |
Holonomic Rank of the Fisher-Bingham System of Differential Equations, |
Holonomic Rank of the Fisher-Bingham System of Differential Equations, |
<!-- <a href="http://arxiv.org/abs/1205.6144"> arxiv:1205.6144 </a>--> |
<!-- <a href="http://arxiv.org/abs/1205.6144"> arxiv:1205.6144 </a>--> |
to appear in Journal of Pure and Applied Algebra |
Journal of Pure and Applied Algebra (online), |
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<a href="http://dx.doi.org/10.1016/j.jpaa.2014.03.004"> DOI </a> |
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<li> |
<li> |
T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama, |
T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama, |
Line 74 Journal of Multivariate Analysis, 116 (2013), 440--455 |
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Line 79 Journal of Multivariate Analysis, 116 (2013), 440--455 |
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<li>T.Koyama, A Holonomic Ideal which Annihilates the Fisher-Bingham Integral, |
<li>T.Koyama, A Holonomic Ideal which Annihilates the Fisher-Bingham Integral, |
Funkcialaj Ekvacioj 56 (2013), 51--61. |
Funkcialaj Ekvacioj 56 (2013), 51--61. |
<!-- <a href="http://dx.doi.org/10.1619/fesi.56.51">DOI</a> --> |
<a href="http://dx.doi.org/10.1619/fesi.56.51">DOI</a> |
<a href="https://www.jstage.jst.go.jp/article/fesi/56/1/56_51/_article">jstage</a> |
<!-- <a href="https://www.jstage.jst.go.jp/article/fesi/56/1/56_51/_article">jstage</a> --> |
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<li> |
<li> |
Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara, |
Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara, |
Line 116 cvsweb page</a>. |
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Line 121 cvsweb page</a>. |
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<li> Command line interfaces are in the folder OpenXM/src/hgm |
<li> Command line interfaces are in the folder OpenXM/src/hgm |
in the OpenXM source tree. See <a href="http://www.math.kobe-u.ac.jp/OpenXM"> |
in the OpenXM source tree. See <a href="http://www.math.kobe-u.ac.jp/OpenXM"> |
OpenXM distribution page </a>. |
OpenXM distribution page </a>. |
<li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/hgm/"> hgm package for R </a> (hgm_*tar.gz, hgm-manual.pdf) for the step 3. |
<li> <a href="http://www.math.kobe-u.ac.jp/OpenXM/Math/hgm/"> hgm package for R </a> (hgm_*tar.gz, hgm-manual.pdf) for the step 3. |
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To install this package in R, type in |
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<pre> |
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R CMD install hgm_*.tar.gz |
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</pre> |
<li> The following packages are |
<li> The following packages are |
for the computer algebra system |
for the computer algebra system |
<a href="http://www.math.kobe-u.ac.jp/Asir"> Risa/Asir</a>. |
<a href="http://www.math.kobe-u.ac.jp/Asir"> Risa/Asir</a>. |
Line 138 maximal Likehood estimates for the Fisher-Bingham dist |
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Line 147 maximal Likehood estimates for the Fisher-Bingham dist |
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<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> |
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<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.9 2014/05/15 07:34:05 takayama Exp $ </pre> |
<pre> $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.10 2014/05/16 11:30:31 takayama Exp $ </pre> |
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