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A randomized approximation of the MDL for stochastic models with hidden variables
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Source Annual Workshop on Computational Learning Theory archive
Proceedings of the ninth annual conference on Computational learning theory table of contents
Desenzano del Garda, Italy
Pages: 99 - 109  
Year of Publication: 1996
ISBN:0-89791-811-8
Author
Kenji Yamanishi  C&C Research Laboratories, NEC Corporation, 1-1, 4-chome, Miyazaki, Miyamae-ku, Kawasaki, Kanagawa 216, Japan
Sponsors
Univ degli Studi de Milano : Universite degli Studi de Milano
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGART: ACM Special Interest Group on Artificial Intelligence
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
B.S. Clarke and A.R. Barron. Informationtheoretic asymptotics of Bayes methods," IEEE Trans. Inform. Theory, IT-36, pp.453-471, 1990.
 
3
A.P. Dempster, N.M. Laird, and D.B. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J.R.Statist. Soc., B, 39, pp.1-38, 1977.
 
4
J. Dicbolt and C.P. Robert, "Estimation of finite mixture distributions through Bayesian sampling," J.R.Statist. Soc. B, vol 56, 2, pp.365-375, 1994.
 
5
B. Everitt and D. Hand, Finite Mizture Dzstrzbutions, London: Chapman and Hall, 1981.
 
6
A.E. Gelfand and A.F.M. Smith, "Sampling-based approach to calculating marginal densities," J. Am. Statist. Assoc., vol.85, pp.398-409, 1990.
 
7
S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayes restoration of images," IEEE Trans. on Pattern Analysis and Machzne Intelligence, PAMI-6, pp.721-741, 1984.
 
8
W.K. Hastings, "Monte Carlo sampling method using Markov chains and their applications," Biometrika, vol.57, pp.97-109, 1970.
9
 
10
N. Metropolis, M.N. Rosenbluth, A.H. Rosenbluth, A.H. Teller, and E. Teller, "Equations of state calculations by fast computation machines," J. Chemical Physics, vol.21, pp.1087-1091, 1953.
 
11
E. Nummelin, General irreducible Markov chains and non-negative operators, Cambridge University Press, 1984.
 
12
 
13
J. Rissanen, "Modeling by shortest data description,'' Automat~ca, vo1.14, pp.465-471, 1978.
 
14
J. Rissanen, "Minimum description length principle,'' IBM Res. Report, RJ 4131, 1983.
 
15
J. Rissanen, "Stochastic complexity," J. R. Star. Soc. B, vol.49, 3, pp.223-239, 1987.
 
16
 
17
J. Rissanen, "Fisher information and stochastic complexity," IEEE Trans. on Inform. Theory, IT- 42, I (1996), 40-47.
 
18
J. Rissanen, T. Speed, and B. Yu, "Density estimation by stochastic complexity," IEEE Trans. Inform. Theory, IT-38, pp.315-323, 1992.
 
19
J. Rissanen and B. Yu, "MDL learning," Progress in A utomatzons and Informatzon Systems, Springer Verlag, 1991.
 
20
G.O. Roberts and N.G. Polson, "On the geometric convergence of the Gibbs sampler," J.R.Statist. Soc. B, vol.56, 2, pp.377-384, 1994.
 
21
J. Rosenthal, "Minorization conditions and convergence rates for Markov chain Monte Carlo," Technical report No.9321, Univ. of Toronto, Dept. of Statistics, 1993.
 
22
J. Rosenthal, "Analysis of the Gibbs sampler for a model related to James-Stein estimators," Technical report No.9413, Univ. of Toronto, Dept. of Statistics, 1994.
 
23
M.A. Tanner and H.W. Wong, "The calculation of posterior distributions by data augmentation," Jr. American Statist. Assoc., vol.82, pp.528-550, 1987.
 
24
L. Tierney, "Exploring posterior distributions using Markov chains," in Proc. of 23rd Syrup. on the Interface, 1991, pp.563-570.
 
25
C.F.J. Wu, "On the convergence properties of the EM algorithm," Ann. Prob., vol 11, 95-103, 1983.
 
26
 
27
 
28
29
 
30
K. Yamanishi, "A decision-theoretic extension of stochastic complexity and its approximation to learning," submitted to IEEE Trans. Inform. Theory, 1995.
 
31
K. Yamanishi, "A randomized approximation of the minimum description length," submitted to IEEE Trans. Inform. Theory, 1995.