The book of GENESIS (2nd ed.): exploring realistic neural models with the GEneral NEural SImulation System
Pulsed Neural Networks
Modeling Connectionist Network Structures: Some Geometric and Categorical Aspects
Annals of Mathematics and Artificial Intelligence
A Note on Modeling Connectionist Network Structures: Geometric and Categorical Aspects
AISC '00 Revised Papers from the International Conference on Artificial Intelligence and Symbolic Computation
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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.