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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 10: AAAI-21 Technical Tracks 10

Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding

February 1, 2023

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Authors

Yangyang Li

Key Lab. of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University


Lin Kong

Key Lab. of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University


Fanhua Shang

Key Lab. of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University Peng Cheng Lab


Yuanyuan Liu

Key Lab. of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University


Hongying Liu

Key Lab. of Intelligent Perception and Image Understanding of Ministry of Education, School of Artificial Intelligence, Xidian University


Zhouchen Lin

Key Lab. of Machine Perception (MoE), School of EECS, Peking University


DOI:

10.1609/aaai.v35i10.17032


Abstract:

Recently, the study on learned iterative shrinkage thresholding algorithm (LISTA) has attracted increasing attentions. A large number of experiments as well as some theories have proved the high efficiency of LISTA for solving sparse coding problems. However, existing LISTA methods are all serial connection. To address this issue, we propose a novel extragradient based LISTA (ELISTA), which has a residual structure and theoretical guarantees. Moreover, most LISTA methods use the soft thresholding function, which has been found to cause a large estimation bias. Therefore, we propose a thresholding function for ELISTA instead of soft thresholding. From a theoretical perspective, we prove that our method attains linear convergence. Through ablation experiments, the improvements of our method on the network structure and the thresholding function are verified in practice. Extensive empirical results verify the advantages of our method.

Topics: AAAI

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HOW TO CITE:

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding Proceedings of the AAAI Conference on Artificial Intelligence (2021) 8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding AAAI 2021, 8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin (2021). Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding. Proceedings of the AAAI Conference on Artificial Intelligence, 8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin. Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin. 2021. Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding. "Proceedings of the AAAI Conference on Artificial Intelligence". 8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin. (2021) "Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding", Proceedings of the AAAI Conference on Artificial Intelligence, p.8501-8509

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin, "Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding", AAAI, p.8501-8509, 2021.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin. "Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin. "Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 8501-8509.

Yangyang Li||Lin Kong||Fanhua Shang||Yuanyuan Liu||Hongying Liu||Zhouchen Lin. Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding. AAAI[Internet]. 2021[cited 2023]; 8501-8509.


ISSN: 2374-3468


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