Dan Geiger, David Heckerman  Home/Search
Context Related
| microsoft.com/pub/tr/tr9416.ps microsoft.com/pub/TechRe...TR9416.PS Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: microsoft.com/scripts/pub...trpub (more) From: lls.informatik.unio...BayesRefG (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: this article is a characterization of the Dirichlet distribution based on local and global parameter independence and on the assumption that the probability distributions of all the parameters are positive pdfs. In Section 3 we explore the circumstances under which our characterization implies that the distribution of the parameters associated with each node in a Bayesian network must be Dirichlet, in which case, the fifth assumption for learning is actually redundant. The as3 sumption of... (Update)
Context of citations to this paper: More
.... complete network structure dictates that the only possible prior parameter distribution for discrete DAG models is a Dirichlet prior [5, 7]. In contrast, in a subsequent work, it was shown that for Gaussian DAG models, which consist of a recursive set of linear regression...
.... with a strictly positive density, that satisfy certain natural mutual conditional indepen dence assumptions, is the Dirichlet distribution [GHe97]. Consequently, we assume that bik s are Dirichlet distributed ( ilk, bill, M) Di(kl, kM) 10) where ni s are global...
Cited by: More
Bayesian Network Learning with Parameter Constraints - Niculescu, Mitchell, al. (2006) (Correct)
On Predictive Distributions and Bayesian Networks - Kontkanen, Myllymäki.. (1998) (Correct)
A Bayesian design pattern for regression problems - Vasko (2001) (Correct)
Similar documents (at the sentence level):
19.7%: A Characterization of the Dirichlet Distribution through.. - Geiger, Heckerman (1995) (Correct)
Active bibliography (related documents): More All
0.5: A Characterization of the Bivariate Normal-Wishart Distribution - Geiger, Heckerman (1995) (Correct)
0.3: Qualitative behaviour of approximate solutions of some.. - Ford, Edwards.. (2000) (Correct)
0.3: A Roadmap to Research on Bayesian Networks and other.. - Chrisman (1998) (Correct)
System load high. Please wait...
Timeout. Please try your query later.
Similar documents based on text: More All
0.4: A Characterization of the Dirichlet Distribution with.. - Geiger, Heckerman (1995) (Correct)
0.2: A Distance-Based Branch and Bound Feature Selection Algorithm - Technion (Correct)
0.2: Structured Variational Inference Procedures and their.. - Dan Geiger Computer (Correct)
Related documents from co-citation: More All
9: Learning Bayesian networks: The combination of knowledge and statistical data - Heckerman, Geiger et al. - 1995
7: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference (context) - Pearl - 1988
7: Sequential updating of conditional probabilities on directed graphical structure.. (context) - Spiegelhalter, Lauritzen - 1990
BibTeX entry: (Update)
D. Geiger and D. Heckerman, A characterization of the Dirichlet distribution through local and global parameter independence. Submitted to Annals of Statistics, February 1995. http://citeseer.ist.psu.edu/article/geiger96characterization.html More
@techreport{ david94characterization,
author = "Heckerman, Dan Geiger David",
title = "{A} {C}haracterization of the {D}irichlet {D}istribution {T}hrough {G}lobal and {L}ocal {I}ndependence",
number = "MSR-TR-94-16",
month = "November",
year = "1994",
url = "citeseer.ist.psu.edu/article/geiger96characterization.html" }
Citations (may not include all citations):1543 Probabilistic Reasoning in Intelligent Systems: Networks of .. (context) - Pearl - 1988
582 Local computations with probabilities on graphical structure.. (context) - Lauritzen, Spiegelhalter - 1988
416 A Bayesian method for the induction of probabilistic network.. (context) - Cooper, Herskovits - 1992
351 Learning Bayesian networks: The combination of knowledge and.. - Heckerman, Geiger et al. - 1995
181 Optimal statistical decisions (context) - DeGroot - 1970
166 Evaluating influence diagrams (context) - Shachter - 1986
148 Bayesian analysis in expert systems (context) - Spiegelhalter, Dawid et al. - 1993
118 Sequential updating of conditional probabilities on directed.. (context) - Spiegelhalter, Lauritzen - 1990
86 Springer-Verlag (context) - Spirtes, Glymour et al. - 1995
84 Theory refinement on Bayesian networks - Buntine - 1991
84 Bayesian updating in recursive graphical models by local com.. (context) - Jensen, Lauritzen et al. - 1990
73 Probabilistic Similarity Networks (context) - Heckerman - 1991
72 Equivalence and synthesis of causal models (context) - Verma, Pearl - 1990
72 Probabilistic inference and influence diagrams (context) - Shachter - 1988
67 and structuring in belief networks (context) - Pearl, propagation - 1986
59 Identifying independence in Bayesian networks (context) - Geiger, Verma et al. - 1990
58 Causal diagrams for empirical research - Pearl - 1995
55 Evidential reasoning using stochastic simulation of causal m.. (context) - Pearl - 1987
52 Hyper Markov laws in statistical analysis of decomposable gr.. (context) - Dawid, Lauritzen - 1993
26 Characterization problems in mathematical statistics (context) - Kagan, Linnik et al. - 1962
25 Lectures on functional equations and their applications (context) - Acz'el - 1966
22 Wiley and Sons (context) - Wilks, Statistics - 1962
21 A transformational characterization of equivalent Bayesian-n.. - Chickering - 1995
20 Belief Networks Revisited - Pearl - 1993
12 A multivariate exponential distribution (context) - Marshall, Olkin - 1967
7 A characterization of the Dirichlet distribution with applic.. - Geiger, Heckerman - 1995
6 Comment: Graphical Models (context) - Pearl - 1993
5 Graphical and recursive models for contingency (context) - Wermouth, Lauritzen
3 Functional equations in probability theory (context) - Ramachandran, Lau - 1991
2 On regular solutions of functional equations (context) - J'arai - 1986
2 Two characterizations of the Dirichlet distribution (context) - Fabius - 1973
2 A new characterization of the Dirichlet distribution through.. (context) - James, Mosimann - 1980
1 A characterization of the Dirichlet distribution (context) - Darroch, Ratcliff - 1971
1 University of Aalborg Press (context) - Lauritzen, Contingency - 1982
1 Choquet-Deny type functional equations with applications to .. (context) - Rao, Shanbhag - 1994
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.research.microsoft.com/scripts/pubdb/trpub.asp): More
A Bayesian Approach to Learning Causal Networks - Heckerman (1995) (Correct)
Issues in Using Commodity Operating Systems for Time-Dependent .. - Jones, Regehr (1998) (Correct)
Asymmetric Real Time Scheduling on a Multimedia Processor - Forin, Raffman, Van Aken (1998) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC