Bayesian inference on the Stiefel manifold
暂无分享,去创建一个
[1] Y. Chikuse. Statistics on special manifolds , 2003 .
[2] L. Wasserman,et al. The consistency of posterior distributions in nonparametric problems , 1999 .
[3] Radford M. Neal. MCMC Using Hamiltonian Dynamics , 2011, 1206.1901.
[4] Alan Edelman,et al. The Geometry of Algorithms with Orthogonality Constraints , 1998, SIAM J. Matrix Anal. Appl..
[5] Y. Chikuse. Concentrated matrix Langevin distributions , 2003 .
[6] Y. Chikuse,et al. State space models on special manifolds , 2006 .
[7] D. Dunson,et al. Nonparametric Bayesian density estimation on manifolds with applications to planar shapes. , 2010, Biometrika.
[8] Ryan P. Adams,et al. The Gaussian Process Density Sampler , 2008, NIPS.
[9] Lancelot F. James,et al. Gibbs Sampling Methods for Stick-Breaking Priors , 2001 .
[10] Radford M. Neal. Markov Chain Sampling Methods for Dirichlet Process Mixture Models , 2000 .
[11] P. Hoff. Bayesian analysis of matrix data with rstiefel , 2013, 1304.3673.
[12] Stephen G. Walker,et al. Posterior Sampling When the Normalizing Constant is Unknown , 2011, Commun. Stat. Simul. Comput..
[13] M. Plummer,et al. CODA: convergence diagnosis and output analysis for MCMC , 2006 .
[14] J. Møller,et al. An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants , 2006 .
[15] Zoubin Ghahramani,et al. MCMC for Doubly-intractable Distributions , 2006, UAI.
[16] K. Mardia,et al. The von Mises–Fisher Matrix Distribution in Orientation Statistics , 1977 .
[17] Ronald W. Butler,et al. Laplace approximation for Bessel functions of matrix argument , 2003 .
[18] R. Muirhead. Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.
[19] T. Ferguson. A Bayesian Analysis of Some Nonparametric Problems , 1973 .
[20] A. Wood. Simulation of the von mises fisher distribution , 1994 .
[21] Akimichi Takemura,et al. Properties and applications of Fisher distribution on the rotation group , 2011, J. Multivar. Anal..
[22] Peter D. Hoff,et al. Simulation of the Matrix Bingham–von Mises–Fisher Distribution, With Applications to Multivariate and Relational Data , 2007, 0712.4166.
[23] Y. Chikuse. High dimensional asymptotic expansions for the matrix Langevin distributions on the Stiefel manifold , 1993 .
[24] Gabriel Camaño-Garcia. Statistics on Stiefel manifolds , 2006 .