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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 Neural Networks addresses the important question of how well neural networks scale - that is, how fast the computation time and number of neurons grow as the problem size increases. It surveys recent research in circuit complexity (a robust branch of theoretical computer science) and applies this work to a theoretical understanding of the problem of scalability.Most research in neural networks focuses on learning, yet it is important to understand the physical limitations of the network before the resources needed to solve a certain problem can be calculated. One of the aims of this book is to compare the complexity of neural networks and the complexity of conventional computers, looking at the computational ability and resources (neurons and time) that are a necessary part of the foundations of neural network learning.Circuit Complexity and Neural Networks contains a significant amount of background material on conventional complexity theory that will enable neural network scientists to learn about how complexity theory applies to their discipline, and allow complexity theorists to see how their discipline applies to neural networks.

- Series:
**Foundations of Computing** - Author:
**Ian Parberry** - Year:
**1994** - Publisher:
**The MIT Press** - Language:
**English** - ISBN:
**0-262-16148-6,9780262161480**

- File size:
**28 331 186** - Format:
**pdf**

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This is the major conference in the field of neural networks with the latest theoretical and practical developments. Topics include: applications, image & signal processing, data analysis, mathematical foundations, neural network architectures, and r...

Recent research indicates that complex-valued neural networks whose parameters (weights and threshold values) are all complex numbers are in fact useful, containing characteristics bringing about many significant applications. Complex-Valued Neural Networ...

In response to the exponentially increasing need to analyze vast amounts of data, Neural Networks for Applied Sciences and Engineering: From Fundamentals to Complex Pattern Recognition provides scientists with a simple but systematic introduction to neura...

This monograph instructs graduate- and undergraduate-level students in electrical engineering, informatics, control engineering, mechanics, robotics, bioengineering on the concepts of complex-valued neural networks. Emphasizing basic concepts and ways of ...

Complex-Valued Neural Networks have higher functionality, learn faster and generalize better than their real-valued counterparts.This book is devoted to the Multi-Valued Neuron (MVN) and MVN-based neural networks. It contains a comprehensive observation o...

Recent advancements in the field of telecommunications, medical imaging and signal processing deal with signals that are inherently time varying, nonlinear and complex-valued. The time varying, nonlinear characteristics of these signals can be effectively...

This book brings together a representative set of Earth System Science (ESS) applications of the neural network (NN) technique. It examines a progression of atmospheric and oceanic problems, which, from the mathematical point of view, can be formulated as...

This concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial ...

The development of neural networks has now reached the stage where they are employed in a large variety of practical contexts. However, to date the majority of such implementations have been in software. While it is generally recognised that hardware impl...

Todayβs accelerated pace of research, aided by new instruments and techniques that combine the approaches of genetics, biochemistry, and cell biology, has changed the character of mycology. A new approach is necessary for the organization and study of fun...

Discover the Flexibility to Teach Science Your Way! Glencoe Science: Life's Structure and Function, a module in the Glencoe Science 15 book series, provides students with accurate and comprehensive coverage of middle school National Science Education Stan...

Discover the flexibility to teach science your way Earth Materials and Processes, as a part of the Glencoe Science 15-Book Series, provides students with accurate and comprehensive coverage of the mineral and rocks, along with the dynamic nature of plate ...

This fascinating book, which launches a series on the manufacturing processes of products from foods to cosmetics to electronics to vehicles, details the manufacture of 101 randomly selected items. The products covered here are a curious mix, including au...

Written by a holistic health doctor, this essential guide explains the crucial role vitamins and minerals play in nutrition and physiology. You'll find details on the type and amount required for survival and for increased disease resistance. The book out...