Learning Bayesian Networks: A Unification for Discrete and Gaussian Domains
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Abstract (arXiv)
We examine Bayesian methods for learning Bayesian networks from a combination of prior knowledge and statistical data. In particular, we unify the approaches we presented at last year's conference for discrete and Gaussian domains. We derive a general Bayesian scoring metric, appropriate for both domains. We then use this metric in combination with well-known statistical facts about the Dirichlet and normal--Wishart distributions to derive our metrics for discrete and Gaussian domains.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 Feb 2013.
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Citing papers per year: 2021: 7; 2022: 1; 2023: 8; 2024: 4; 2025: 1.
21 papers.
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- 2023Integrating Large Language Model for Improved Causal Discoverycited by 54
- 2023Causal Order: The Key to Leveraging Imperfect Experts in Causal Inferencecited by 46
- 2021The impact of prior knowledge on causal structure learningcited by 35
- 2023Causal Structure Learning Supervised by Large Language Modelcited by 21
- 2021Bayesian structure learning and sampling of Bayesian networks with the R package BiDAGcited by 17
- 2024Large Language Models for Constrained-Based Causal Discoverycited by 15
- 2024bnRep: A repository of Bayesian networks from the academic literaturecited by 9
- 2023Synthetic data generation for a longitudinal cohort study -- Evaluation, method extension and reproduction of published data analysis resultscited by 5
- 2022The interventional Bayesian Gaussian equivalent score for Bayesian causal inference with unknown soft interventionscited by 4
- 2023A Bayesian Take on Gaussian Process Networkscited by 4
- 2021Recursive Bayesian Networks: Generalising and Unifying Probabilistic Context-Free Grammars and Dynamic Bayesian Networkscited by 3
- 2023Bayesian causal discovery from unknown general interventionscited by 2
9 more
- 2021Causal Markov Boundariescited by 1
- 2023Distinguishing Cause from Effect on Categorical Data: The Uniform Channel Modelcited by 1
- 2025Less Greedy Equivalence Searchcited by 1
- 2021Parameter Priors for Directed Acyclic Graphical Models and the Characterization of Several Probability Distributionscited by 0
- 2021Bayesian Model Averaging for Data Driven Decision Making when Causality is Partially Knowncited by 0
- 2021Likelihoods and Parameter Priors for Bayesian Networkscited by 0
- 2023Learning Bayesian Networks with Heterogeneous Agronomic Data Sets via Mixed-Effect Models and Hierarchical Clusteringcited by 0
- 2024Exact discovery is polynomial for certain sparse causal Bayesian networkscited by 0
- 2024Optimal Particle-based Approximation of Discrete Distributions (OPAD)cited by 0
- 2025Less Greedy Equivalence Search27 Jun 2025
- 2024Optimal Particle-based Approximation of Discrete Distributions (OPAD)30 Nov 2024
- 2024bnRep: A repository of Bayesian networks from the academic literature27 Sep 2024
- 2024Exact discovery is polynomial for certain sparse causal Bayesian networks21 Jun 2024
- 2024Large Language Models for Constrained-Based Causal Discovery11 Jun 2024
- 2023Bayesian causal discovery from unknown general interventions1 Dec 2023
- 2023Causal Structure Learning Supervised by Large Language Model20 Nov 2023
- 2023Causal Order: The Key to Leveraging Imperfect Experts in Causal Inference23 Oct 2023
- 2023Learning Bayesian Networks with Heterogeneous Agronomic Data Sets via Mixed-Effect Models and Hierarchical Clustering11 Aug 2023
- 2023Integrating Large Language Model for Improved Causal Discovery29 Jun 2023
- 2023A Bayesian Take on Gaussian Process Networks20 Jun 2023
- 2023Synthetic data generation for a longitudinal cohort study -- Evaluation, method extension and reproduction of published data analysis results12 May 2023
9 more
- 2023Distinguishing Cause from Effect on Categorical Data: The Uniform Channel Model14 Mar 2023
- 2022The interventional Bayesian Gaussian equivalent score for Bayesian causal inference with unknown soft interventions5 May 2022
- 2021Recursive Bayesian Networks: Generalising and Unifying Probabilistic Context-Free Grammars and Dynamic Bayesian Networks2 Nov 2021
- 2021Likelihoods and Parameter Priors for Bayesian Networks13 May 2021
- 2021Bayesian Model Averaging for Data Driven Decision Making when Causality is Partially Known12 May 2021
- 2021Parameter Priors for Directed Acyclic Graphical Models and the Characterization of Several Probability Distributions5 May 2021
- 2021Bayesian structure learning and sampling of Bayesian networks with the R package BiDAG2 May 2021
- 2021Causal Markov Boundaries12 Mar 2021
- 2021The impact of prior knowledge on causal structure learning31 Jan 2021
- 2023Integrating Large Language Model for Improved Causal Discoverycited by 54
- 2023Causal Order: The Key to Leveraging Imperfect Experts in Causal Inferencecited by 46
- 2021The impact of prior knowledge on causal structure learningcited by 35
- 2023Causal Structure Learning Supervised by Large Language Modelcited by 21
- 2021Bayesian structure learning and sampling of Bayesian networks with the R package BiDAGcited by 17
- 2024Large Language Models for Constrained-Based Causal Discoverycited by 15
- 2024bnRep: A repository of Bayesian networks from the academic literaturecited by 9
- 2023Synthetic data generation for a longitudinal cohort study -- Evaluation, method extension and reproduction of published data analysis resultscited by 5
- 2022The interventional Bayesian Gaussian equivalent score for Bayesian causal inference with unknown soft interventionscited by 4
- 2023A Bayesian Take on Gaussian Process Networkscited by 4
- 2021Recursive Bayesian Networks: Generalising and Unifying Probabilistic Context-Free Grammars and Dynamic Bayesian Networkscited by 3
- 2023Bayesian causal discovery from unknown general interventionscited by 2
12 most cited of 21 All 21 (JSON)
- 2025Less Greedy Equivalence Search27 Jun 2025
- 2024Optimal Particle-based Approximation of Discrete Distributions (OPAD)30 Nov 2024
- 2024bnRep: A repository of Bayesian networks from the academic literature27 Sep 2024
- 2024Exact discovery is polynomial for certain sparse causal Bayesian networks21 Jun 2024
- 2024Large Language Models for Constrained-Based Causal Discovery11 Jun 2024
- 2023Bayesian causal discovery from unknown general interventions1 Dec 2023
- 2023Causal Structure Learning Supervised by Large Language Model20 Nov 2023
- 2023Causal Order: The Key to Leveraging Imperfect Experts in Causal Inference23 Oct 2023
- 2023Learning Bayesian Networks with Heterogeneous Agronomic Data Sets via Mixed-Effect Models and Hierarchical Clustering11 Aug 2023
- 2023Integrating Large Language Model for Improved Causal Discovery29 Jun 2023
- 2023A Bayesian Take on Gaussian Process Networks20 Jun 2023
- 2023Synthetic data generation for a longitudinal cohort study -- Evaluation, method extension and reproduction of published data analysis results12 May 2023
12 newest of 21 All 21 (JSON)