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%% $OpenXM: OpenXM/src/R/r-packages/hgm/man/hgm-package.Rd,v 1.11 2015/03/21 22:49:34 takayama Exp $ |
\name{hgm-package} |
\name{hgm-package} |
\alias{hgm-package} |
\alias{hgm-package} |
\alias{HGM} |
\alias{HGM} |
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\description{ |
\description{ |
The holonomic gradient method (HGM, hgm) gives a way to evaluate normalizing |
The holonomic gradient method (HGM, hgm) gives a way to evaluate normalizing |
constants of unnormalized probability distributions by utilizing holonomic |
constants of unnormalized probability distributions by utilizing holonomic |
systems of differential equations. |
systems of differential or difference equations. |
The holonomic gradient descent (HGD, hgd) gives a method |
The holonomic gradient descent (HGD, hgd) gives a method |
to find maximal likelihood estimates by utilizing the HGM. |
to find maximal likelihood estimates by utilizing the HGM. |
} |
} |
Line 43 Tomonari Sei, Nobuki Takayama, Akimichi Takemura, |
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Line 43 Tomonari Sei, Nobuki Takayama, Akimichi Takemura, |
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Holonomic Gradient Descent and its Application to Fisher-Bingham Integral, |
Holonomic Gradient Descent and its Application to Fisher-Bingham Integral, |
Advances in Applied Mathematics 47 (2011), 639--658, |
Advances in Applied Mathematics 47 (2011), 639--658, |
\url{http://dx.doi.org/10.1016/j.aam.2011.03.001} |
\url{http://dx.doi.org/10.1016/j.aam.2011.03.001} |
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\item [dojo] Edited by T.Hibi, Groebner Bases: Statistics and Software Systems, Springer, 2013, |
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\url{http://dx.doi.org/10.1007/978-4-431-54574-3} |
\item \url{http://www.openxm.org} |
\item \url{http://www.openxm.org} |
} |
} |
} |
} |
Line 53 Advances in Applied Mathematics 47 (2011), 639--658, |
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Line 54 Advances in Applied Mathematics 47 (2011), 639--658, |
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\keyword{ HGM } |
\keyword{ HGM } |
\keyword{ HGD } |
\keyword{ HGD } |
\seealso{ |
\seealso{ |
\code{\link{hgm.mleFBByOptim}}, |
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\code{\link{hgm.ncBingham}}, |
\code{\link{hgm.ncBingham}}, |
\code{\link{hgm.ncorthant}}, |
\code{\link{hgm.ncorthant}}, |
\code{\link{hgm.ncso3}}, |
\code{\link{hgm.ncso3}}, |
\code{\link{hgm.pwishart}}, |
\code{\link{hgm.pwishart}}, |
\code{\link{hgm.Rhgm}} |
\code{\link{hgm.Rhgm}} |
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\code{\link{hgm.z.mleFBByOptim}}, |
} |
} |
\examples{ |
\examples{ |
\dontrun{ |
\dontrun{ |