Formulation of Pruning Maps with Rhythmic Neural Firing

Feng-Sheng Tsai, Yi-Li Shih, Chin-Tzong Pang and Sheng-Yi Hsu
Additional contact information
Feng-Sheng Tsai: Department of Biomedical Imaging and Radiological Science, China Medical University, Taichung 40402, Taiwan
Yi-Li Shih: Department of Information Management, Yuan Ze University, Chung-Li 32003, Taiwan
Chin-Tzong Pang: Department of Information Management, Yuan Ze University, Chung-Li 32003, Taiwan
Sheng-Yi Hsu: Department of Biomedical Imaging and Radiological Science, China Medical University, Taichung 40402, Taiwan

Mathematics, 2019, vol. 7, issue 12, 1-15

Abstract: Rhythmic neural firing is thought to underlie the operation of neural function. This triggers the construction of dynamical network models to investigate how the rhythms interact with each other. Recently, an approach concerning neural path pruning has been proposed in a dynamical network system, in which critical neuronal connections are identified and adjusted according to the pruning maps, enabling neurons to produce rhythmic, oscillatory activity in simulation. Here, we construct a sort of homomorphic functions based on different rhythms of neural firing in network dynamics. Armed with the homomorphic functions, the pruning maps can be simply expressed in terms of interactive rhythms of neural firing and allow a concrete analysis of coupling operators to control network dynamics. Such formulation of pruning maps is applied to probe the consolidation of rhythmic patterns between layers of neurons in feedforward neural networks.

Keywords: decirculation process; network dynamics; neural path pruning; pruning maps; rhythmic neural firing (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/12/1247/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/12/1247/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:12:p:1247-:d:298999

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().