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Invariance Entropy for Control Systems on Lie Groups and Homogeneous Spaces

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Release : 2013
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Kind : eBook
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Book Synopsis Invariance Entropy for Control Systems on Lie Groups and Homogeneous Spaces by : Adriano João Da Silva

Download or read book Invariance Entropy for Control Systems on Lie Groups and Homogeneous Spaces written by Adriano João Da Silva. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:

Invariance Entropy for Control Systems

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Release : 2009
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Book Synopsis Invariance Entropy for Control Systems by : Christoph Kawan

Download or read book Invariance Entropy for Control Systems written by Christoph Kawan. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Group Machine Learning

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Release : 2018-11-05
Genre : Computers
Kind : eBook
Book Rating : 509/5 ( reviews)

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Book Synopsis Lie Group Machine Learning by : Fanzhang Li

Download or read book Lie Group Machine Learning written by Fanzhang Li. This book was released on 2018-11-05. Available in PDF, EPUB and Kindle. Book excerpt: This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.

Invariance Entropy for Deterministic Control Systems

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Release : 2013-10-02
Genre : Mathematics
Kind : eBook
Book Rating : 886/5 ( reviews)

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Book Synopsis Invariance Entropy for Deterministic Control Systems by : Christoph Kawan

Download or read book Invariance Entropy for Deterministic Control Systems written by Christoph Kawan. This book was released on 2013-10-02. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connected by a digital channel, invariance entropy provides a measure for the smallest data rate above which it is possible to render a given subset of the state space invariant by means of a symbolic coder-controller pair. This concept is essentially equivalent to the notion of topological feedback entropy introduced by Nair, Evans, Mareels and Moran (Topological feedback entropy and nonlinear stabilization. IEEE Trans. Automat. Control 49 (2004), 1585–1597). The book presents the foundations of a theory which aims at finding expressions for invariance entropy in terms of dynamical quantities such as Lyapunov exponents. While both discrete-time and continuous-time systems are treated, the emphasis lies on systems given by differential equations.

Entropy for Group Endomorphisms and Homogeneous Spaces

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Release : 1970
Genre : Differential topology
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Book Synopsis Entropy for Group Endomorphisms and Homogeneous Spaces by : Rufus Bowen

Download or read book Entropy for Group Endomorphisms and Homogeneous Spaces written by Rufus Bowen. This book was released on 1970. Available in PDF, EPUB and Kindle. Book excerpt:

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