A RNNs-based Algorithm for Decentralized-partial-consensus Constrained Optimization Article Swipe
Zicong Xia
,
Yang Liu
,
Jianlong Qiu
,
Qihua Ruan
,
Jinde Cao
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2103.11659
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2103.11659
This technical note proposes the decentralized-partial-consensus optimization with inequality constraints, and a continuous-time algorithm based on multiple interconnected recurrent neural networks (RNNs) is derived to solve the obtained optimization problems. First, the partial-consensus matrix originating from Laplacian matrix is constructed to tackle the partial-consensus constraints. In addition, using the non-smooth analysis and Lyapunov-based technique, the convergence property about the designed algorithm is further guaranteed. Finally, the effectiveness of the obtained results is shown while several examples are presented.
Related Topics
Concepts
Recurrent neural network
Convergence (economics)
Mathematical optimization
Laplacian matrix
Computer science
Property (philosophy)
Algorithm
Matrix (chemical analysis)
Mathematics
Artificial neural network
Artificial intelligence
Theoretical computer science
Composite material
Materials science
Graph
Philosophy
Economic growth
Economics
Epistemology
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2103.11659
- https://arxiv.org/pdf/2103.11659
- OA Status
- green
- References
- 30
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3139082340
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3139082340Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2103.11659Digital Object Identifier
- Title
-
A RNNs-based Algorithm for Decentralized-partial-consensus Constrained OptimizationWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-03-22Full publication date if available
- Authors
-
Zicong Xia, Yang Liu, Jianlong Qiu, Qihua Ruan, Jinde CaoList of authors in order
- Landing page
-
https://arxiv.org/abs/2103.11659Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2103.11659Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2103.11659Direct OA link when available
- Concepts
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Recurrent neural network, Convergence (economics), Mathematical optimization, Laplacian matrix, Computer science, Property (philosophy), Algorithm, Matrix (chemical analysis), Mathematics, Artificial neural network, Artificial intelligence, Theoretical computer science, Composite material, Materials science, Graph, Philosophy, Economic growth, Economics, EpistemologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
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30Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.partial-consensus | 32, 43 |
| abstract_inverted_index.decentralized-partial-consensus | 5 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 5 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/10 |
| sustainable_development_goals[0].score | 0.5600000023841858 |
| sustainable_development_goals[0].display_name | Reduced inequalities |
| citation_normalized_percentile |