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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 25 / No. 1: Twenty-Fifth AAAI Conference on Artificial Intelligence

Symmetric Graph Regularized Constraint Propagation

March 8, 2023

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Authors

Zhenyong Fu

City University of Hong Kong


Zhiwu Lu

Peking University


Horace Ip

City University of Hong Kong


Yuxin Peng

Peking University


Hongtao Lu

Shanghai Jiao Tong University


DOI:

10.1609/aaai.v25i1.7897


Abstract:

This paper presents a novel symmetric graph regularization framework for pairwise constraint propagation. We first decompose the challenging problem of pairwise constraint propagation into a series of two-class label propagation subproblems and then deal with these subproblems by quadratic optimization with symmetric graph regularization. More importantly, we clearly show that pairwise constraint propagation is actually equivalent to solving a Lyapunov matrix equation, which is widely used in Control Theory as a standard continuous-time equation. Different from most previous constraint propagation methods that suffer from severe limitations, our method can directly be applied to multi-class problem and also can effectively exploit both must-link and cannot-link constraints. The propagated constraints are further used to adjust the similarity between data points so that they can be incorporated into subsequent clustering. The proposed method has been tested in clustering tasks on six real-life data sets and then shown to achieve significant improvements with respect to the state of the arts.

Topics: AAAI

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HOW TO CITE:

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu Symmetric Graph Regularized Constraint Propagation Proceedings of the AAAI Conference on Artificial Intelligence, 25 (2011) 350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu Symmetric Graph Regularized Constraint Propagation AAAI 2011, 350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu (2011). Symmetric Graph Regularized Constraint Propagation. Proceedings of the AAAI Conference on Artificial Intelligence, 25, 350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu. Symmetric Graph Regularized Constraint Propagation. Proceedings of the AAAI Conference on Artificial Intelligence, 25 2011 p.350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu. 2011. Symmetric Graph Regularized Constraint Propagation. "Proceedings of the AAAI Conference on Artificial Intelligence, 25". 350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu. (2011) "Symmetric Graph Regularized Constraint Propagation", Proceedings of the AAAI Conference on Artificial Intelligence, 25, p.350

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu, "Symmetric Graph Regularized Constraint Propagation", AAAI, p.350, 2011.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu. "Symmetric Graph Regularized Constraint Propagation". Proceedings of the AAAI Conference on Artificial Intelligence, 25, 2011, p.350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu. "Symmetric Graph Regularized Constraint Propagation". Proceedings of the AAAI Conference on Artificial Intelligence, 25, (2011): 350.

Zhenyong Fu|| Zhiwu Lu|| Horace Ip|| Yuxin Peng|| Hongtao Lu. Symmetric Graph Regularized Constraint Propagation. AAAI[Internet]. 2011[cited 2023]; 350.


ISSN: 2374-3468


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