General-purpose computation with neural networks: A survey of complexity theoretic results

J Šíma, P Orponen - Neural Computation, 2003 - ieeexplore.ieee.org
We survey and summarize the literature on the computational aspects of neural network
models by presenting a detailed taxonomy of the various models according to their …

[图书][B] Introduction to the theory of neural computation

JA Hertz - 2018 - taylorfrancis.com
INTRODUCTION TO THE THEORY OF NEURAL COMPUTATION Page 1 Page 2
INTRODUCTION TO THE THEORY OF NEURAL COMPUTATION Page 3 Page 4 …

Analog computation via neural networks

HT Siegelmann, ED Sontag - Theoretical Computer Science, 1994 - Elsevier
We pursue a particular approach to analog computation, based on dynamical systems of the
type used in neural networks research. Our systems have a fixed structure, invariant in time …

Bounds for the computational power and learning complexity of analog neural nets

W Maass - Proceedings of the twenty-fifth annual ACM symposium …, 1993 - dl.acm.org
It is shown that high order feedforward neural nets of constant depth with piecewise
polynomial activation functions and arbitrary real weights can be simulated for boolean …

[图书][B] Discrete neural computation: A theoretical foundation

KY Siu, V Roychowdhury, T Kailath - 1995 - dl.acm.org
In the past decade, there has been growing interest in neural networks and their
applications in such disciplines as neurobiology, computer science, engineering …

[图书][B] Theoretical advances in neural computation and learning

V Roychowdhury, KY Siu, A Orlitsky - 2012 - books.google.com
For any research field to have a lasting impact, there must be a firm theoretical foundation.
Neural networks research is no exception. Some of the founda tional concepts, established …

[图书][B] Circuit complexity and neural networks

I Parberry - 1994 - books.google.com
Neural networks usually work adequately on small problems but can run into trouble when
they are scaled up to problems involving large amounts of input data. Circuit Complexity and …

Neutral networks for computing?

YS Abu-Mostafa - Neural Networks for Computing, 1986 - ui.adsabs.harvard.edu
In this paper, we address the capabilities and cost-effectiveness of the current models of
neural networks for carrying out general computation. We show that neural networks are …

[图书][B] Mathematical perspectives on neural networks

P Smolensky, MC Mozer, DE Rumelhart - 2013 - taylorfrancis.com
Recent years have seen an explosion of new mathematical results on learning and
processing in neural networks. This body of results rests on a breadth of mathematical …

[图书][B] Handbook of neural computation

E Fiesler, R Beale - 2020 - books.google.com
The Handbook of Neural Computation is a practical, hands-on guide to the design and
implementation of neural networks used by scientists and engineers to tackle difficult and/or …