A lagrange programming neural network approach for nuclear norm optimization
Xiangguang Dai, Jian Qiu, Chaoyang Wan, Facheng Dai, Ji-Hoon Yun, Ji-Hoon Yun, Ji-Hoon Yun, Ji-Hoon Yun, Ji-Hoon Yun
TL;DR
This paper introduces a new neural network method for optimizing the nuclear norm, showing better performance in image recovery.
Contribution
A novel Lagrangian programming neural network is proposed for nuclear norm minimization with proven convergence.
Findings
The proposed LPNN outperforms traditional algorithms in image recovery tasks.
Convergence conditions of LPNN are established using the Lyapunov method.
Experiments confirm the convergence and effectiveness of the LPNN approach.
Abstract
This article proposes a continuous-time optimization approch instead of tranditional optimiztion methods to address the nuclear norm minimization (NNM) problem. Refomulating the NNM into a matrix form, we propose a Lagrangian programming neural network (LPNN) to solve the NNM. Moreover, the convergence condtions of LPNN are presented by the Lyapunov method. Convergence experiments are presented to demonstrate the convergence of LPNN. Compared with tranditional algorithms of NNM, the proposed algorithm outperforms in terms of image recovery.
Genes, proteins, chemicals, diseases, species, mutations and cell lines named across the full text — each resolved to its canonical identifier and authoritative record.
Click any figure to enlarge with its caption.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Figure 19
Figure 20
Figure 21
Figure 22
Figure 23
Figure 24
Figure 25
Figure 26
Figure 27
Figure 28
Figure 29
Figure 30
Figure 31
Figure 32
Figure 33
Figure 34
Figure 35
Figure 36
Figure 37
Figure 38
Figure 39
Figure 40
Figure 41
Figure 42
Figure 43
Figure 44
Figure 45
Figure 46
Figure 47
Figure 48
Figure 49
Figure 50Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSparse and Compressive Sensing Techniques · Blind Source Separation Techniques · Advanced SAR Imaging Techniques