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Circuit Complexity and Neural Networks (Foundations of Computing)

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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.

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50 Steps To Business Success: Entrepreneurial Leadership In Manageable Bites
50 Steps To Business Success: Entrepreneurial Leadership In Manageable Bites

Here is a master plan for leaders who want to know the dynamic, proven techniques any business leader-from the fruit stand owner to the Fortune 500 chairman-must use to build a successful entrepreneurial enterprise. At the heart of this program is a fundamental belief in the continuous work necessary to improve all activities-a constant quest...

Combinatorial Optimization: 3-Volume Set (ISTE)
Combinatorial Optimization: 3-Volume Set (ISTE)

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major domains: mathematics, theoretical computer science and management.

The three volumes of the Combinatorial Optimization set aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and...

Organic Chemistry
Organic Chemistry

Succeed in the course with this student-friendly, proven text. Designed throughout to help you master key concepts and improve your problem-solving skills, CHEMISTRY, Seventh Edition includes a running margin glossary, end-of-chapter in-text mini study guides, a focus on "how to" skills, and more in-chapter examples and problems...


The Photoshop Darkroom 2: Creative Digital Transformations
The Photoshop Darkroom 2: Creative Digital Transformations

Back in the old days, working in a chemical darkroom, I could only have dreamed of a postprocessing tool as wonderful as Photoshop. But for me that’s exactly what Photoshop is—a tool. It’s a tool that helps me as a professional image creator. The image is what matters, not the tool.

The Photoshop...

Beginning C++ Programming
Beginning C++ Programming

Key Features

  • This book gets you started with the exciting world of C++ programming
  • It will enable you to write C++ code that uses the standard library, has a level of object orientation, and uses memory in a safe and effective way
  • It forms the basis of programming and covers...
Applied Microsoft Analysis Services 2005: And Microsoft Business Intelligence Platform
Applied Microsoft Analysis Services 2005: And Microsoft Business Intelligence Platform
Knowledge is power! As its name suggests, the promise of Microsoft SQL Server Analysis Services 2005 is to promote better data analytics by giving information workers the right tool to analyze consistent, timely, and reliable data. Empowered with Analysis Services and Microsoft Business Intelligence Platform, you are well positioned to solve the...
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