Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Theory refinement on Bayesian networks
Proceedings of the seventh conference (1991) on Uncertainty in artificial intelligence
Learning in graphical models
A Guide to the Literature on Learning Probabilistic Networks from Data
IEEE Transactions on Knowledge and Data Engineering
The EQ Framework for Learning Equivalence Classes of Bayesian Networks
ICDM '01 Proceedings of the 2001 IEEE International Conference on Data Mining
Probalistic Network Construction Using the Minimum Description Length Principle
ECSQARU '93 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Equivalence and synthesis of causal models
UAI '90 Proceedings of the Sixth Annual Conference on Uncertainty in Artificial Intelligence
Enumerating Markov Equivalence Classes of Acyclic Digraph Models
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
On characterizing Inclusion of Bayesian Networks
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Decision-theoretic foundations for causal reasoning
Journal of Artificial Intelligence Research
A hybrid anytime algorithm for the construction of causal models from sparse data
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
A transformational characterization of equivalent Bayesian network structures
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Causal inference and causal explanation with background knowledge
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Learning equivalence classes of Bayesian network structures
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Optimal structure identification with greedy search
The Journal of Machine Learning Research
On inclusion-driven learning of bayesian networks
The Journal of Machine Learning Research
Identifying character non-independence in phylogenetic data using data mining techniques
APBC '04 Proceedings of the second conference on Asia-Pacific bioinformatics - Volume 29
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - New trends in probabilistic graphical models
Spatial bayesian learning algorithms for geographic information retrieval
Proceedings of the 13th annual ACM international workshop on Geographic information systems
A Graphical Representation of Equivalence Classes of AMP Chain Graphs
The Journal of Machine Learning Research
The Journal of Machine Learning Research
Estimating High-Dimensional Directed Acyclic Graphs with the PC-Algorithm
The Journal of Machine Learning Research
Bayesian network learning algorithms using structural restrictions
International Journal of Approximate Reasoning
An application of formal argumentation: Fusing Bayesian networks in multi-agent systems
Artificial Intelligence
A heuristic algorithm for pattern-to-DAG conversion
AIAP'07 Proceedings of the 25th conference on Proceedings of the 25th IASTED International Multi-Conference: artificial intelligence and applications
Latent tree models and diagnosis in traditional Chinese medicine
Artificial Intelligence in Medicine
Learning Bayesian networks from incomplete databases using a novel evolutionary algorithm
Decision Support Systems
Evolved bayesian networks as a versatile alternative to partin tables for prostate cancer management
Proceedings of the 10th annual conference on Genetic and evolutionary computation
A Recursive Method for Structural Learning of Directed Acyclic Graphs
The Journal of Machine Learning Research
Search for Additive Nonlinear Time Series Causal Models
The Journal of Machine Learning Research
Two Evolutionary Methods for Learning Bayesian Network Structures
Computational Intelligence and Security
Discovering Latent Structures: Experience with the CoIL Challenge 2000 Data Set
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007
On Concentration of Discrete Distributions with Applications to Supervised Learning of Classifiers
MLDM '07 Proceedings of the 5th international conference on Machine Learning and Data Mining in Pattern Recognition
A Direct Measure for the Efficacy of Bayesian Network Structures Learned from Data
MLDM '07 Proceedings of the 5th international conference on Machine Learning and Data Mining in Pattern Recognition
Parallell interacting MCMC for learning of topologies of graphical models
Data Mining and Knowledge Discovery
Constraint Minimization for Efficient Modeling of Gene Regulatory Network
PRIB '08 Proceedings of the Third IAPR International Conference on Pattern Recognition in Bioinformatics
Bayesian classifiers based on kernel density estimation: Flexible classifiers
International Journal of Approximate Reasoning
BAIS: A Bayesian Artificial Immune System for the effective handling of building blocks
Information Sciences: an International Journal
VC dimension and inner product space induced by Bayesian networks
International Journal of Approximate Reasoning
Approximation Methods for Efficient Learning of Bayesian Networks
Proceedings of the 2008 conference on Approximation Methods for Efficient Learning of Bayesian Networks
Learning directed probabilistic logical models: ordering-search versus structure-search
Annals of Mathematics and Artificial Intelligence
MCMC Based Bayesian Inference for Modeling Gene Networks
PRIB '09 Proceedings of the 4th IAPR International Conference on Pattern Recognition in Bioinformatics
Journal of Artificial Intelligence Research
Learning Bayesian network equivalence classes with Ant Colony optimization
Journal of Artificial Intelligence Research
The Journal of Machine Learning Research
Optimal Search on Clustered Structural Constraint for Learning Bayesian Network Structure
The Journal of Machine Learning Research
Learning Bayesian networks using evolutionary algorithm and a variant of MDL score
KES'07/WIRN'07 Proceedings of the 11th international conference, KES 2007 and XVII Italian workshop on neural networks conference on Knowledge-based intelligent information and engineering systems: Part III
A hybrid approach for learning Markov equivalence classes of Bayesian network
KSEM'07 Proceedings of the 2nd international conference on Knowledge science, engineering and management
How do the structure and the parameters of Gaussian tree models affect structure learning?
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
ICNC'09 Proceedings of the 5th international conference on Natural computation
Feature subset selection based on Bayesian networks
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 1
Learning Gaussian tree models: analysis of error exponents and extremal structures
IEEE Transactions on Signal Processing
Learning an L1-regularized Gaussian Bayesian network in the equivalence class space
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An efficient and scalable algorithm for local Bayesian network structure discovery
ECML PKDD'10 Proceedings of the 2010 European conference on Machine learning and knowledge discovery in databases: Part III
Constructing the Bayesian network structure from dependencies implied in multiple relational schemas
Expert Systems with Applications: An International Journal
Discriminative Learning of Bayesian Networks via Factorized Conditional Log-Likelihood
The Journal of Machine Learning Research
SemCaDo: a serendipitous strategy for learning causal Bayesian networks using ontologies
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Multiple hypothesis testing and quasi essential graph for comparing two sets of bayesian networks
KES'11 Proceedings of the 15th international conference on Knowledge-based and intelligent information and engineering systems - Volume Part II
A probabilistic framework for learning kinematic models of articulated objects
Journal of Artificial Intelligence Research
On the properties of concept classes induced by multivalued Bayesian networks
Information Sciences: an International Journal
UAI'02 Proceedings of the Eighteenth conference on Uncertainty in artificial intelligence
An algorithm for cooperative learning of bayesian network structure from data
CSCWD'04 Proceedings of the 8th international conference on Computer Supported Cooperative Work in Design I
Learning measurement models for unobserved variables
UAI'03 Proceedings of the Nineteenth conference on Uncertainty in Artificial Intelligence
Analysis of nasopharyngeal carcinoma risk factors with Bayesian networks
Artificial Intelligence in Medicine
Review: learning bayesian networks: Approaches and issues
The Knowledge Engineering Review
An optimization-based approach for the design of Bayesian networks
Mathematical and Computer Modelling: An International Journal
Learning optimal Bayesian networks using A* search
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Three
Multimedia Tools and Applications
Analysis of Markov Boundary Induction in Bayesian Networks: A New View From Matroid Theory
Fundamenta Informaticae
Non-stationary bayesian networks based on perfect simulation
Proceedings of the 21st ACM international conference on Information and knowledge management
Score-based methods for learning Markov boundaries by searching in constrained spaces
Data Mining and Knowledge Discovery
A review on evolutionary algorithms in Bayesian network learning and inference tasks
Information Sciences: an International Journal
Estimating building simulation parameters via Bayesian structure learning
Proceedings of the 2nd International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications
The Journal of Machine Learning Research
Learning linear cyclic causal models with latent variables
The Journal of Machine Learning Research
Incremental causal network construction over event streams
Information Sciences: an International Journal
PC algorithm for nonparanormal graphical models
The Journal of Machine Learning Research
A PC algorithm variation for ordinal variables
Computational Statistics
Learning optimal bayesian networks: a shortest path perspective
Journal of Artificial Intelligence Research
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Two Bayesian-network structures are said to be equivalent if the set of distributions that can be represented with one of those structures is identical to the set of distributions that can be represented with the other. Many scoring criteria that are used to learn Bayesian-network structures from data are score equivalent; that is, these criteria do not distinguish among networks that are equivalent. In this paper, we consider using a score equivalent criterion in conjunction with a heuristic search algorithm to perform model selection or model averaging. We argue that it is often appropriate to search among equivalence classes of network structures as opposed to the more common approach of searching among individual Bayesian-network structures. We describe a convenient graphical representation for an equivalence class of structures, and introduce a set of operators that can be applied to that representation by a search algorithm to move among equivalence classes. We show that our equivalence-class operators can be scored locally, and thus share the computational efficiency of traditional operators defined for individual structures. We show experimentally that a greedy model-selection algorithm using our representation yields slightly higher-scoring structures than the traditional approach without any additional time overhead, and we argue that more sophisticated search algorithms are likely to benefit much more.