Buchumschlag

Statistical mechanics for neural networks with continuous-time dynamics

Weitere Versionen anzeigen (1)

The authors summarize their current knowledge about the long-time behaviour of networks of graded response neurons with continuous-time dynamics. They demonstrate the workings of their previously developed statistical-mechanical approach to continuous-time dynamics by applying it to networks with va...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Kühn, Reimer (VerfasserIn) , Bös, Siegfried (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1993
In: Journal of physics. A, Mathematical and general
Year: 1993, Jahrgang: 26, Heft: 4, Pages: 831-857
ISSN:1361-6447
DOI:10.1088/0305-4470/26/4/012
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/26/4/012
Verlag, lizenzpflichtig, Volltext: https://dx.doi.org/10.1088/0305-4470/26/4/012
Volltext
Verfasserangaben:R. Kuhn, S. Bos
Beschreibung
Zusammenfassung:The authors summarize their current knowledge about the long-time behaviour of networks of graded response neurons with continuous-time dynamics. They demonstrate the workings of their previously developed statistical-mechanical approach to continuous-time dynamics by applying it to networks with various forms of synaptic organization (learning rules), and neural composition (neuron-types as encoded in gain functions), as well as to networks varying with respect to the ensemble of stored data (unbiased and low-activity patterns). They present phase diagrams and compute distributions of local fields for a variety of examples. Local field distributions are found to deviate from the Gaussian form obtained for stochastic neurons in the context of the replica approach. A solution to the low firing rates problems within the framework of nets of analogue neurons is also briefly discussed. Finally, the statistical-mechanical approach to the analysis of continuous-time dynamics is extended to include effects of fast stochastic noise.
Beschreibung:Falsche Namensform in der Verfasserangabe. Richtig: Kühn, Reimer und Bös, S
Gesehen am 15.06.2023
Beschreibung:Online Resource
ISSN:1361-6447
DOI:10.1088/0305-4470/26/4/012

Ähnliche Einträge