Neural Networks with Discontinuous/Impact Activations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
2014
|
| Series: | Nonlinear Systems and Complexity
9 |
| Subjects: | |
| Online Access: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext |
| Item Description: | This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided. This book also: Explores questions related to the biological underpinning for models of neural networks\ Considers neural networks modeling using differential equations with impulsive and piecewise constant argument discontinuities Provides all necessary mathematical basics for application to the theory of neural networks Neural Networks with Discontinuous/Impact Activations is an ideal book for researchers and professionals in the field of engineering mathematics that have an interest in applying these systems to computational problems |
| Physical Description: | 1 Online-Ressource (XI, 168 p.) 28 illus., 23 illus. in color |
| ISBN: | 9781461485667 |
| DOI: | 10.1007/978-1-4614-8566-7 |
Staff View
MARC
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| 500 | |a This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided. This book also: Explores questions related to the biological underpinning for models of neural networks\ Considers neural networks modeling using differential equations with impulsive and piecewise constant argument discontinuities Provides all necessary mathematical basics for application to the theory of neural networks Neural Networks with Discontinuous/Impact Activations is an ideal book for researchers and professionals in the field of engineering mathematics that have an interest in applying these systems to computational problems | ||
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| author | Akhmet, Marat 1954- |
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| contents | Introduction -- Differential Equations with Piecewise Constant Argument of Generalized Type -- Impulsive Differential Equations -- Periodic Motions and Equilibria of Neural Networks with Piecewise Constant Argument -- Equilibria of Neural Networks with Impact Activation and Piecewise Constant Argument -- Periodic Motions of Neural Networks with Impact Activation and Piecewise Constant Argument -- The Method of Lyapunov Functions: RNNs -- The Lyapunov-Razumikhin Method: CNNs |
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| doi_str_mv | 10.1007/978-1-4614-8566-7 |
| format | Electronic eBook |
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| id | DE-604.BV041470898 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:39:06Z |
| institution | BVB |
| isbn | 9781461485667 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026917040 |
| oclc_num | 874381360 |
| open_access_boolean | |
| owner | DE-Aug4 DE-92 DE-634 DE-859 DE-898 DE-BY-UBR DE-573 DE-861 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
| owner_facet | DE-Aug4 DE-92 DE-634 DE-859 DE-898 DE-BY-UBR DE-573 DE-861 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
| physical | 1 Online-Ressource (XI, 168 p.) 28 illus., 23 illus. in color |
| psigel | ZDB-2-ENG |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| record_format | marc |
| series | Nonlinear Systems and Complexity |
| series2 | Nonlinear Systems and Complexity |
| spellingShingle | Akhmet, Marat 1954- Neural Networks with Discontinuous/Impact Activations Nonlinear Systems and Complexity Introduction -- Differential Equations with Piecewise Constant Argument of Generalized Type -- Impulsive Differential Equations -- Periodic Motions and Equilibria of Neural Networks with Piecewise Constant Argument -- Equilibria of Neural Networks with Impact Activation and Piecewise Constant Argument -- Periodic Motions of Neural Networks with Impact Activation and Piecewise Constant Argument -- The Method of Lyapunov Functions: RNNs -- The Lyapunov-Razumikhin Method: CNNs Engineering Artificial intelligence Differential Equations Physics Biomedical engineering Complexity Artificial Intelligence (incl. Robotics) Biomedical Engineering Ordinary Differential Equations Mathematical Models of Cognitive Processes and Neural Networks Ingenieurwissenschaften Künstliche Intelligenz |
| title | Neural Networks with Discontinuous/Impact Activations |
| title_auth | Neural Networks with Discontinuous/Impact Activations |
| title_exact_search | Neural Networks with Discontinuous/Impact Activations |
| title_full | Neural Networks with Discontinuous/Impact Activations by Marat Akhmet, Enes Yılmaz |
| title_fullStr | Neural Networks with Discontinuous/Impact Activations by Marat Akhmet, Enes Yılmaz |
| title_full_unstemmed | Neural Networks with Discontinuous/Impact Activations by Marat Akhmet, Enes Yılmaz |
| title_short | Neural Networks with Discontinuous/Impact Activations |
| title_sort | neural networks with discontinuous impact activations |
| topic | Engineering Artificial intelligence Differential Equations Physics Biomedical engineering Complexity Artificial Intelligence (incl. Robotics) Biomedical Engineering Ordinary Differential Equations Mathematical Models of Cognitive Processes and Neural Networks Ingenieurwissenschaften Künstliche Intelligenz |
| topic_facet | Engineering Artificial intelligence Differential Equations Physics Biomedical engineering Complexity Artificial Intelligence (incl. Robotics) Biomedical Engineering Ordinary Differential Equations Mathematical Models of Cognitive Processes and Neural Networks Ingenieurwissenschaften Künstliche Intelligenz |
| url | https://doi.org/10.1007/978-1-4614-8566-7 |
| volume_link | (DE-604)BV041257000 |
| work_keys_str_mv | AT akhmetmarat neuralnetworkswithdiscontinuousimpactactivations AT yılmazenes neuralnetworkswithdiscontinuousimpactactivations |