Neural Network Design and the Complexity of Learning

Neural Network Design and the Complexity of Learning
Author: J. Stephen Judd
Publisher: MIT Press
Total Pages: 188
Release: 1990
Genre: Computers
ISBN: 9780262100458

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Using the tools of complexity theory, Stephen Judd develops a formal description of associative learning in connectionist networks. He rigorously exposes the computational difficulties in training neural networks and explores how certain design principles will or will not make the problems easier.Judd looks beyond the scope of any one particular learning rule, at a level above the details of neurons. There he finds new issues that arise when great numbers of neurons are employed and he offers fresh insights into design principles that could guide the construction of artificial and biological neural networks.The first part of the book describes the motivations and goals of the study and relates them to current scientific theory. It provides an overview of the major ideas, formulates the general learning problem with an eye to the computational complexity of the task, reviews current theory on learning, relates the book's model of learning to other models outside the connectionist paradigm, and sets out to examine scale-up issues in connectionist learning.Later chapters prove the intractability of the general case of memorizing in networks, elaborate on implications of this intractability and point out several corollaries applying to various special subcases. Judd refines the distinctive characteristics of the difficulties with families of shallow networks, addresses concerns about the ability of neural networks to generalize, and summarizes the results, implications, and possible extensions of the work. Neural Network Design and the Complexity of Learning is included in the Network Modeling and Connectionism series edited by Jeffrey Elman.

Circuit Complexity and Neural Networks

Circuit Complexity and Neural Networks
Author: Ian Parberry
Publisher: MIT Press
Total Pages: 312
Release: 1994
Genre: Computers
ISBN: 9780262161480

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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.

Neural Network Design

Neural Network Design
Author: Martin T. Hagan
Publisher:
Total Pages:
Release: 2003
Genre: Neural networks (Computer science)
ISBN: 9789812403766

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Artificial Neural Nets and Genetic Algorithms

Artificial Neural Nets and Genetic Algorithms
Author: Rudolf F. Albrecht
Publisher: Springer Science & Business Media
Total Pages: 752
Release: 2012-12-06
Genre: Computers
ISBN: 370917533X

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Artificial neural networks and genetic algorithms both are areas of research which have their origins in mathematical models constructed in order to gain understanding of important natural processes. By focussing on the process models rather than the processes themselves, significant new computational techniques have evolved which have found application in a large number of diverse fields. This diversity is reflected in the topics which are the subjects of contributions to this volume. There are contributions reporting theoretical developments in the design of neural networks, and in the management of their learning. In a number of contributions, applications to speech recognition tasks, control of industrial processes as well as to credit scoring, and so on, are reflected. Regarding genetic algorithms, several methodological papers consider how genetic algorithms can be improved using an experimental approach, as well as by hybridizing with other useful techniques such as tabu search. The closely related area of classifier systems also receives a significant amount of coverage, aiming at better ways for their implementation. Further, while there are many contributions which explore ways in which genetic algorithms can be applied to real problems, nearly all involve some understanding of the context in order to apply the genetic algorithm paradigm more successfully. That this can indeed be done is evidenced by the range of applications covered in this volume.

Deep Learning Neural Networks: Design And Case Studies

Deep Learning Neural Networks: Design And Case Studies
Author: Daniel Graupe
Publisher: World Scientific Publishing Company
Total Pages: 280
Release: 2016-07-07
Genre: Computers
ISBN: 9813146478

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Deep Learning Neural Networks is the fastest growing field in machine learning. It serves as a powerful computational tool for solving prediction, decision, diagnosis, detection and decision problems based on a well-defined computational architecture. It has been successfully applied to a broad field of applications ranging from computer security, speech recognition, image and video recognition to industrial fault detection, medical diagnostics and finance.This comprehensive textbook is the first in the new emerging field. Numerous case studies are succinctly demonstrated in the text. It is intended for use as a one-semester graduate-level university text and as a textbook for research and development establishments in industry, medicine and financial research.

Neural Network Design

Neural Network Design
Author: Martin T. Hagan
Publisher: Martin Hagan
Total Pages: 736
Release: 2002-01-01
Genre: Neural networks (Computer science)
ISBN: 9780971732100

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This book provides a clear and detailed survey of basic neural network architectures and learning rules. In it, the authors emphasize mathematical analysis of networks, methods for training networks, and application of networks to practical engineering problems in pattern recognition, signal processing, and control systems.

Deep Learning

Deep Learning
Author: Dengsheng Zhang
Publisher: ZDS Online Publishing
Total Pages: 285
Release:
Genre: Computers
ISBN:

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This book aims to help readers have a systematic understanding of deep learning technology through practical systems and develop their own strategies on network design. To achieve this goal, the book adopts a diagnostic and prescriptive approach. The book starts with breaking down a canonical deep learning network into blocks and layers to understand the complexity and behavior of the network, bottlenecks and issues are identified as a result. A series of advanced network engineering methods are presented targeting specific issues in deep learning design. Those methods include recurrent convolutional neural network, residual convolutional neural networks, 1x1 transformation, autoencoder, U-nets, graph convolution network, region-based convolutional neural networks, YOLO object detection network, backpropagation and generative adversarial networks.

Neural Networks and Deep Learning

Neural Networks and Deep Learning
Author: Charu C. Aggarwal
Publisher: Springer
Total Pages: 512
Release: 2018-08-25
Genre: Computers
ISBN: 3319944630

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This book covers both classical and modern models in deep learning. The primary focus is on the theory and algorithms of deep learning. The theory and algorithms of neural networks are particularly important for understanding important concepts, so that one can understand the important design concepts of neural architectures in different applications. Why do neural networks work? When do they work better than off-the-shelf machine-learning models? When is depth useful? Why is training neural networks so hard? What are the pitfalls? The book is also rich in discussing different applications in order to give the practitioner a flavor of how neural architectures are designed for different types of problems. Applications associated with many different areas like recommender systems, machine translation, image captioning, image classification, reinforcement-learning based gaming, and text analytics are covered. The chapters of this book span three categories: The basics of neural networks: Many traditional machine learning models can be understood as special cases of neural networks. An emphasis is placed in the first two chapters on understanding the relationship between traditional machine learning and neural networks. Support vector machines, linear/logistic regression, singular value decomposition, matrix factorization, and recommender systems are shown to be special cases of neural networks. These methods are studied together with recent feature engineering methods like word2vec. Fundamentals of neural networks: A detailed discussion of training and regularization is provided in Chapters 3 and 4. Chapters 5 and 6 present radial-basis function (RBF) networks and restricted Boltzmann machines. Advanced topics in neural networks: Chapters 7 and 8 discuss recurrent neural networks and convolutional neural networks. Several advanced topics like deep reinforcement learning, neural Turing machines, Kohonen self-organizing maps, and generative adversarial networks are introduced in Chapters 9 and 10. The book is written for graduate students, researchers, and practitioners. Numerous exercises are available along with a solution manual to aid in classroom teaching. Where possible, an application-centric view is highlighted in order to provide an understanding of the practical uses of each class of techniques.

Exploring Neural Networks with C#

Exploring Neural Networks with C#
Author: Ryszard Tadeusiewicz
Publisher: CRC Press
Total Pages: 296
Release: 2017-07-27
Genre: Computers
ISBN: 1482233401

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The utility of artificial neural network models lies in the fact that they can be used to infer functions from observations making them especially useful in applications where the complexity of data or tasks makes the design of such functions by hand impractical.Exploring Neural Networks with C# presents the important properties of neural networks

Neural Network Learning

Neural Network Learning
Author: Martin Anthony
Publisher:
Total Pages: 389
Release: 1999-11-04
Genre: Computers
ISBN: 9780521573535

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This book describes recent theoretical advances in the study of artificial neural networks. It explores probabilistic models of supervised learning problems, and addresses the key statistical and computational questions. The authors also discuss the computational complexity of neural network learning, describing a variety of hardness results, and outlining two efficient constructive learning algorithms. The book is essentially self-contained, since it introduces the necessary background material on probability, statistics, combinatorics and computational complexity; and it is intended to be accessible to researchers and graduate students in computer science, engineering, and mathematics.