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Arithmetic Perceptrons

Published:1995-01 Issue:1 Volume:7 Page:173-181
ISSN:0899-7667
Container-title:Neural Computation
language:en
Short-container-title:Neural Computation

Author:

Cannas Sergio A.¹

Affiliation:

1. Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Haya de la Torre y Medina Allende S/N, Ciudad Universitaria, 5000 Córdoba, Argentina

Abstract

A feedforward layered neural network (perceptron) with one hidden layer, which adds two N-bit binary numbers is constructed. The set of synaptic strengths and thresholds is obtained exactly for different architectures of the network and for arbitrary N. These structures can be easily generalized to perform more complicated arithmetic operations (like subtraction).

Publisher

MIT Press - Journals

Subject

Cognitive Neuroscience,Arts and Humanities (miscellaneous)

Link

https://www.mitpressjournals.org/doi/pdf/10.1162/neco.1995.7.1.173

Reference20 articles.

1. The statistical mechanics of learning a rule

2. Neural potentials as stimuli for attractor neural networks

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1. Constructive Threshold Logic Addition;Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003;2003

2. Letter to the Editor: NEUROCOMPUTERS: A DEAD END?;International Journal of Neural Systems;2000-12

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4. Neural addition and fibonacci numbers;Lecture Notes in Computer Science;1999

5. Solving arithmetic problems using feed-forward neural networks;Neurocomputing;1998-01