On mathematical modeling of networks and implementation aspects

Regina Bernhaupt, Jochen Pfalzgraf

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

Based on existing work where categorical and geometrical methods were used to establish a mathematical model of neural net structures, we develop a new very general model for artificial neural networks (ANN), where all basic components of a network are described abstractly. This mathematical model serves as a guideline for design and implementation of a new ANN-simulator. The proposed model of neuron types will be illustrated by the discussion of an example, using the Single Spiking Neuron Model (SSM). The main building blocks of the simulation tool, a new construction principle for ANN, and abstract modeling of connection weights are presented.

Original languageEnglish
Title of host publicationArtificial Intelligence, Automated Reasoning and Symbolic Computation - Joint International Conferences AISC 2002 and Calculemus 2002, Proceedings
EditorsLaurent Henocque, Jacques Calmet, Belaid Benhamou, Olga Caprotti, Volker Sorge
PublisherSpringer
Pages168-180
Number of pages13
ISBN (Print)3540438653, 9783540438656
DOIs
Publication statusPublished - 1 Jan 2002
Externally publishedYes
EventJoint Conferences on 6th Artificial Intelligence and Symbolic Computation, AISC 2002 and 10th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2002 - Marseille, France
Duration: 1 Jul 20025 Jul 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2385
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceJoint Conferences on 6th Artificial Intelligence and Symbolic Computation, AISC 2002 and 10th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2002
CountryFrance
CityMarseille
Period1/07/025/07/02

Fingerprint Dive into the research topics of 'On mathematical modeling of networks and implementation aspects'. Together they form a unique fingerprint.

Cite this