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How have Chow-Liu trees been used?

Independent and identically distributed random variables

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Chow–Liu tree

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Chow-Liu trees have been utilized in various ways, including learning tree-structured graphical models of distributions, focusing on homogeneous trees with active learning to reduce error probability, and optimizing the learning of tree-structured Ising models for accurate predictions. The Chow-Liu algorithm, known for efficiently computing maximum likelihood trees, has been a benchmark in learning tree-structured graphical models. Additionally, new algorithms have been introduced to enhance the error exponent in learning homogeneous tree models, showcasing significant improvements with active learning. These applications demonstrate the versatility and effectiveness of Chow-Liu trees in graphical model learning and prediction optimization.

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Open access•Journal Article•DOI Active-LATHE: An Active Learning Algorithm for Boosting the Error Exponent for Learning Homogeneous Ising Trees 01 Apr 2023-IEEE Transactions on Information Theory	Chow-Liu trees are utilized for learning tree-structured graphical models from i.i.d. sampled data vectors, with well-understood theoretical properties, as discussed in the paper.
Open access•Posted Content Near-Optimal Learning of Tree-Structured Distributions by Chow-Liu Arnab Bhattacharyya, Sutanu Gayen, Eric Price, N. V. Vinodchandran - Show less +3 more 09 Nov 2020-arXiv: Data Structures and Algorithms 18 Citations	Chow-Liu trees are utilized for learning tree-structured graphical models of distributions with finite sample guarantees, benefiting from efficient conditional independence testing and sample complexity reductions.
Open access•Proceedings Article•DOI Chow-Liu++: Optimal Prediction-Centric Learning of Tree Ising Models 01 Feb 2022 2 Citations	Chow-Liu trees are utilized for optimal prediction-centric learning of tree Ising models, ensuring accurate posterior predictions for small variable sets, outperforming traditional Chow-Liu algorithm.
Open access•Proceedings Article•DOI Near-optimal learning of tree-structured distributions by Chow-Liu Arnab Bhattacharyya, Sutanu Gayen, Eric Price, N. V. Vinodchandran - Show less +3 more 15 Jun 2021 5 Citations	Chow-Liu trees are utilized for learning tree-structured graphical models of distributions, providing finite sample guarantees and efficient estimation of mutual information and conditional independence.
Journal Article•DOI Near-Optimal Learning of Tree-Structured Distributions by Chow and Liu 15 Jun 2023-SIAM Journal on Computing	Chow-Liu trees are utilized for learning tree-structured graphical models of distributions, providing finite sample guarantees and efficient estimation of closest structured distributions in KL divergence.

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