Abstract:
We examine a graphical representation of uncertain knowledge called a Bayesian network. The representation is easy to construct and interpret, yet has formal probabilistic semantics making it suitable for statistical manipulation. We show how we can use the representation to learn new knowledge by combining domain knowledge with statistical data. 1 Introduction Many techniques for learning rely heavily on data. In contrast, the knowledge encoded in expert systems usually comes solely from an expert. In this paper, we examine a knowledge representation, called a Bayesian network, that lets us have the best of both worlds. Namely, the representation allows us to learn new knowledge by combining expert domain knowledge and statistical data. A Bayesian network is a graphical representation of uncertain knowledge that most people find easy to construct and interpret. In addition, the representation has formal probabilistic semantics, making it suitable for statistical manipulation (Howard,...
Citations
|
4735
|
Maximum Likelihood from incomplete data via the EM algorithm
– Dempster, Laird, et al.
- 1977
|
|
726
|
A bayesian method for the induction of probabilistic networks from data
– Cooper, Herskovits
- 1992
|
|
615
|
Learning Bayesian networks: The combination of knowledge and statistical data
– Heckerman, Geiger, et al.
- 1995
|
|
345
|
Optimal statistical decisions
– DeGroot
- 1970
|
|
278
|
Evaluating influence diagrams
– Shachter
- 1986
|
|
271
|
Causation, Prediction and Search
– Spirtes, Glymour, et al.
- 2000
|
|
183
|
Model selection and accounting for model uncertainty in graphical models using Occam’s window
– Madigan, Raftery
- 1994
|
|
167
|
Sequential updating of conditional probabilities on directed graphical structures, Networks
– Spiegelhalter, Lauritzen
- 1990
|
|
164
|
Bayesian analysis in expert systems
– Spiegelhalter, Dawid, et al.
- 1993
|
|
152
|
Lectures on functional equations and their applications
– Aczél
- 1966
|
|
151
|
A Theory of Inferred Causation
– Pearl, Verma
- 1991
|
|
135
|
Theory refinement of Bayesian networks
– Buntine
- 1991
|
|
95
|
Causal Diagrams for Empirical Research
– Pearl
- 1995
|
|
84
|
Hyper Markov laws in the statistical analysis of decomposable graphical models
– Dawid, Lauritzen
- 1993
|
|
72
|
Learning Gaussian networks
– Geiger, Heckerman
- 1994
|
|
58
|
A Bayesian Method for Constructing Bayesian Belief Networks fromDatabases
– Cooper, Herskovits
- 1991
|
|
34
|
Causality in Bayesian belief networks
– Druzdzel, Simon
- 1993
|
|
19
|
The assessment of prior distributions in Bayesian analysis
– WINKLER
- 1967
|
|
14
|
A decision-based view of causality
– Heckerman
- 1994
|
|
13
|
Updating a diagnostic system using unconfirmed cases. Applied Statistics
– Titterington
- 1976
|
|
11
|
Lectures on Contingency Tables
– Lauritzen
- 1982
|
|
8
|
On the theory of correlation for any number of variables, treated by a new system of notations
– Yule
- 1907
|
|
7
|
Bayesian Methods for the Analysis of Misclassified or Incomplete Multivariate Discrete Data (in preparation
– York
- 1992
|
|
6
|
A characterization of the Dirichlet distribution applicable to learning Bayesian networks
– Geiger, Heckerman
- 1995
|
|
4
|
Learning discrete Bayesian networks
– Heckerman, Geiger, et al.
- 1995
|
|
2
|
Learning causal networks
– Heckerman
- 1995
|