[PDF][PDF] 概率图模型学习技术研究进展

刘建伟, 黎海恩, 罗雄麟 - 自动化学报, 2014 - aas.net.cn
摘要概率图模型能有效处理不确定性推理, 从样本数据中准确高效地学习概率图模型是其在实际
应用中的关键问题. 概率图模型的表示由参数和结构两部分组成, 其学习算法也相应分为参数 …

Learning optimal bounded treewidth Bayesian networks via maximum satisfiability

J Berg, M Järvisalo, B Malone - Artificial Intelligence and …, 2014 - proceedings.mlr.press
Bayesian network structure learning is the well-known computationally hard problem of
finding a directed acyclic graph structure that optimally describes given data. A learned …

Scaling up the greedy equivalence search algorithm by constraining the search space of equivalence classes

JI Alonso-Barba, JA Gámez, JM Puerta - International journal of …, 2013 - Elsevier
Greedy Equivalence Search (GES) is nowadays the state of the art algorithm for learning
Bayesian networks (BNs) from complete data. However, from a practical point of view, this …

Polyhedral aspects of score equivalence in Bayesian network structure learning

J Cussens, D Haws, M Studený - Mathematical Programming, 2017 - Springer
This paper deals with faces and facets of the family-variable polytope and the characteristic-
imset polytope, which are special polytopes used in integer linear programming approaches …

Characteristic imsets for learning Bayesian network structure

R Hemmecke, S Lindner, M Studený - International Journal of Approximate …, 2012 - Elsevier
The motivation for the paper is the geometric approach to learning Bayesian network (BN)
structure. The basic idea of our approach is to represent every BN structure by a certain …

Exact estimation of multiple directed acyclic graphs

CJ Oates, JQ Smith, S Mukherjee, J Cussens - Statistics and Computing, 2016 - Springer
This paper considers structure learning for multiple related directed acyclic graph (DAG)
models. Building on recent developments in exact estimation of DAGs using integer linear …

Evaluating structure learning algorithms with a balanced scoring function

AC Constantinou - arXiv preprint arXiv:1905.12666, 2019 - arxiv.org
Several structure learning algorithms have been proposed towards discovering causal or
Bayesian Network (BN) graphs. The validity of these algorithms tends to be evaluated by …

Generalized permutohedra from probabilistic graphical models

F Mohammadi, C Uhler, C Wang, J Yu - SIAM Journal on Discrete Mathematics, 2018 - SIAM
A graphical model encodes conditional independence relations via the Markov properties.
For an undirected graph these conditional independence relations can be represented by a …

Unifying causal inference and reinforcement learning using higher-order category theory

S Mahadevan - arXiv preprint arXiv:2209.06262, 2022 - arxiv.org
We present a unified formalism for structure discovery of causal models and predictive state
representation (PSR) models in reinforcement learning (RL) using higher-order category …

[PDF][PDF] Characteristic imset: a simple algebraic representative of a Bayesian network structure

M Studený, R Hemmecke, S Lindner - … of the 5th European workshop on …, 2010 - Citeseer
First, we recall the basic idea of an algebraic and geometric approach to learning a
Bayesian network (BN) structure proposed in (Studený, Vomlel and Hemmecke, 2010): to …