Nonsmooth Neural Network for Convex Time-Dependent Constraint Satisfaction Problems

IEEE Transactions on Neural Networks and Learning Systems
Mauro Di MarcoLuca Pancioni

Abstract

This paper introduces a nonsmooth (NS) neural network that is able to operate in a time-dependent (TD) context and is potentially useful for solving some classes of NS-TD problems. The proposed network is named nonsmooth time-dependent network (NTN) and is an extension to a TD setting of a previous NS neural network for programming problems. Suppose C(t), t ≥ 0, is a nonempty TD convex feasibility set defined by TD inequality constraints. The constraints are in general NS (nondifferentiable) functions of the state variables and time. NTN is described by the subdifferential with respect to the state variables of an NS-TD barrier function and a vector field corresponding to the unconstrained dynamics. This paper shows that for suitable values of the penalty parameter, the NTN dynamics displays two main phases. In the first phase, any solution of NTN not starting in C(0) at t = 0 is able to reach the moving set C(·) in finite time th, whereas in the second phase, the solution tracks the moving set, i.e., it stays within C(t) for all subsequent times t ≥ th. NTN is thus able to find an exact feasible solution in finite time and also to provide an exact feasible solution for subsequent times. This new and peculiar dynamics displayed...Continue Reading

References

Dec 8, 2004·Medical Image Analysis·Johan Montagnat, Hervé Delingette
Dec 14, 2005·IEEE Transactions on Neural Networks·Yunong Zhang, Shuzhi Sam Ge
May 26, 2006·IEEE Transactions on Neural Networks·Zhigang Zeng, Jun Wang
Nov 30, 2006·IEEE Transactions on Neural Networks·Mauro FortiMarc Quincampoix
Oct 12, 2007·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xiaolin Hu, Jun Wang
Feb 5, 2008·IEEE Transactions on Neural Networks·Yunong ZhangJun Wang
Feb 8, 2008·IEEE Transactions on Neural Networks·Y Xia, J Wang
Aug 15, 2008·IEEE Transactions on Neural Networks·Youshen XiaJun Wang
May 9, 2009·IEEE Transactions on Neural Networks·Long ChengMin Tan
May 4, 2011·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Qingshan Liu, Jun Wang
Dec 3, 2013·Neural Networks : the Official Journal of the International Neural Network Society·Guocheng LiJun Wang
Jan 11, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Dongshu Wang, Lihong Huang
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Dongsheng Guo, Yunong Zhang
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Wei Bian, Xiaojun Chen
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Qingshan Liu, Jun Wang
Mar 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Wei Bian, Xiaojun Chen

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Neural Networks : the Official Journal of the International Neural Network Society
Alireza HosseiniS Mohammad Hosseini
Neural Networks : the Official Journal of the International Neural Network Society
Guocheng LiJun Wang
Neural Networks : the Official Journal of the International Neural Network Society
Guocheng LiJun Wang
IEEE Transactions on Neural Networks and Learning Systems
Sitian Qin, Xiaoping Xue
© 2021 Meta ULC. All rights reserved