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Theoretical Advances in Neural Computation and Learning
 
 
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Theoretical Advances in Neural Computation and Learning [Hardcover]

Vwani Roychowdhury (Editor), Kai-Yeung Siu (Editor), Alon Orlitsky (Editor)

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Book Description

079239478X 978-0792394785 November 30, 1994 1
Theoretical Advances in Neural Computation and Learning brings together in one volume some of the recent advances in the development of a theoretical framework for studying neural networks. A variety of novel techniques from disciplines such as computer science, electrical engineering, statistics, and mathematics have been integrated and applied to develop ground-breaking analytical tools for such studies. This volume emphasizes the computational issues in artificial neural networks and compiles a set of pioneering research works, which together establish a general framework for studying the complexity of neural networks and their learning capabilities. This book represents one of the first efforts to highlight these fundamental results, and provides a unified platform for a theoretical exploration of neural computation. Each chapter is authored by a leading researcher and/or scholar who has made significant contributions in this area. Part 1 provides a complexity theoretic study of different models of neural computation. Complexity measures for neural models are introduced, and techniques for the efficient design of networks for performing basic computations, as well as analytical tools for understanding the capabilities and limitations of neural computation are discussed. The results describe how the computational cost of a neural network increases with the problem size. Equally important, these results go beyond the study of single neural elements, and establish to computational power of multilayer networks. Part 2 discusses concepts and results concerning learning using models of neural computation. Basic concepts such as VC-dimension and PAC-learning are introduced, and recent results relating neural networks to learning theory are derived. In addition, a number of the chapters address fundamental issues concerning learning algorithms, such as accuracy and rate of convergence, selection of training data, and efficient algorithms for learning useful classes of mappings.

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Inside This Book (learn more)
First Sentence:
This chapter introduces the computational models studied in Part I of the book and some analytical techniques that have proven useful in analyzing both these models and the learning frameworks considered in Part II. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
randomized polynomial hypothesis finder, boolean threshold gate, boolean threshold circuits, interconnectivity graph, sparse interconnectivity, threshold gate learn, good connectivity properties, linear threshold gates, analog computational elements, symmetric gates, analog neural nets, sparse function, boolean functions computable, arbitrary real weights, coloring condition, synchronous step, programmable parameters, random restriction, parity gates, probabilistic communication complexity, depth threshold circuits, equivalence queries, nomial size, random probe, equivalence query
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Foundations of Computer Science, New York, Theory of Computing, Morgan Kaufmann, Annual Symposium, Englewood Cliffs, Parallel Distributed Processing, San Mateo, Annual Structure, Annual Workshop, Information Processing Letters, Neural Information Processing Systems, Complexity Theory Conference, Electronic Computers, John Wiley, Journal of Complexity, Prentice Hall, Principles of Neurodynamics, Spartan Books, Springer Lect, International Colloquium, Journal of Discrete Math, Lecture Notes, New Brunswick, Peter Auer
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This book cites 36 books:
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