Fractal Dimensions Of Networks
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Fractal Dimensions Of Networks
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Author : Eric Rosenberg
language : en
Publisher: Springer Nature
Release Date : 2020-07-07
Fractal Dimensions Of Networks written by Eric Rosenberg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-07 with Computers categories.
Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects. The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.
A Survey Of Fractal Dimensions Of Networks
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Author : Eric Rosenberg
language : en
Publisher: Springer
Release Date : 2018-05-29
A Survey Of Fractal Dimensions Of Networks written by Eric Rosenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-29 with Computers categories.
Many different fractal dimensions have been proposed for networks. In A Survey of Fractal Dimensions of Networks the theory and computation of the most important of these dimensions are reviewed, including the box counting dimension, the correlation dimension, the mass dimension, the transfinite fractal dimension, the information dimension, the generalized dimensions (which provide a way to describe multifractals), and the sandbox method (for approximating the generalized dimensions). The book describes the use of diameter-based and radius-based boxes, and presents several heuristic methods for box counting, including greedy coloring, random sequential node burning, and a method for computing a lower bound. We also discuss very recent results on resolving ambiguity in the calculation of the information dimension and the generalized dimensions, and on the non-monotonicity of the generalized dimensions. Anyone interested in the theory and application of networks will want to read this Brief. This includes anyone studying, e.g., social networks, telecommunications networks, transportation networks, ecological networks, food chain networks, network models of the brain, or financial networks.
Artificial Neural Networks In Medicine And Biology
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Author : H. Malmgren
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Artificial Neural Networks In Medicine And Biology written by H. Malmgren and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book contains the proceedings of the conference ANNIMAB-l, held 13-16 May 2000 in Goteborg, Sweden. The conference was organized by the Society for Artificial Neural Networks in Medicine and Biology (ANNIMAB-S), which was established to promote research within a new and genuinely cross-disciplinary field. Forty-two contributions were accepted for presentation; in addition to these, S invited papers are also included. Research within medicine and biology has often been characterised by application of statistical methods for evaluating domain specific data. The growing interest in Artificial Neural Networks has not only introduced new methods for data analysis, but also opened up for development of new models of biological and ecological systems. The ANNIMAB-l conference is focusing on some of the many uses of artificial neural networks with relevance for medicine and biology, specifically: • Medical applications of artificial neural networks: for better diagnoses and outcome predictions from clinical and laboratory data, in the processing of ECG and EEG signals, in medical image analysis, etc. More than half of the contributions address such clinically oriented issues. • Uses of ANNs in biology outside clinical medicine: for example, in models of ecology and evolution, for data analysis in molecular biology, and (of course) in models of animal and human nervous systems and their capabilities. • Theoretical aspects: recent developments in learning algorithms, ANNs in relation to expert systems and to traditional statistical procedures, hybrid systems and integrative approaches.
Recent Developments In Intelligent Computing Communication And Devices
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Author : Srikanta Patnaik
language : en
Publisher: Springer
Release Date : 2018-08-22
Recent Developments In Intelligent Computing Communication And Devices written by Srikanta Patnaik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-22 with Computers categories.
This book offers a collection of high-quality, peer-reviewed research papers presented at the International Conference on Intelligent Computing, Communication and Devices (ICCD 2017), discussing all dimensions of intelligent sciences – intelligent computing, intelligent communication, and intelligent devices. Intelligent computing addresses areas such as intelligent and distributed computing, intelligent grid and cloud computing, internet of things, soft computing and engineering applications, data mining and knowledge discovery, semantic and web technology, hybrid systems, agent computing, bioinformatics, and recommendation systems. Intelligent communication is concerned with communication and network technologies, such as mobile broadband and all optical networks that are the key to groundbreaking inventions of intelligent communication technologies. It includes communication hardware, software and networked intelligence, mobile technologies, machine-to-machine communication networks, speech and natural language processing, routing techniques and network analytics, wireless ad hoc and sensor networks, communications and information security, signal, image and video processing, network management, and traffic engineering. Lastly, intelligent devices are any equipment, instruments, or machines that have their own computing capability. As computing technology becomes more advanced and less expensive, it can be incorporated an increasing number of devices of all kinds. This area covers such as embedded systems, radiofrequency identification (RFID), radiofrequency microelectromechanical system (RF MEMS), very-large-scale integration (VLSI) design and electronic devices, analog and mixed-signal integrated circuit (IC) design and testing, microelectromechanical system (MEMS) and microsystems, solar cells and photonics, nanodevices, single electron and spintronics devices, space electronics, and intelligent robotics.
Metaheuristics For Intelligent Electrical Networks
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Author : Frédéric Héliodore
language : en
Publisher: John Wiley & Sons
Release Date : 2017-08-07
Metaheuristics For Intelligent Electrical Networks written by Frédéric Héliodore and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with Computers categories.
Intelligence is defined by the ability to optimize, manage and reconcile the currents of physical, economic and even social flows. The strong constraint of immediacy proves to be an opportunity to imagine, propose and deliver solutions on the common basis of optimization techniques. Metaheuristics for Intelligent Electrical Networks analyzes the use of metaheuristics through independent applications but united by the same methodology.
Introduction To Aquifer Analysis
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Author : Michael Kasenow
language : en
Publisher: Water Resources Publication
Release Date : 1997
Introduction To Aquifer Analysis written by Michael Kasenow and has been published by Water Resources Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Aquifers categories.
Topological Structure Of Road Networks Models And Computation Methods
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Author : Hong Zhang
language : en
Publisher: World Scientific
Release Date : 2024-10-18
Topological Structure Of Road Networks Models And Computation Methods written by Hong Zhang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-18 with Technology & Engineering categories.
Roads are essential components of a city. Despite their increasing importance in our daily lives, modeling and simulating road networks is challenging due to their dynamic and complex nature. The underlying order and patterns of the seemingly chaotic and diverse physical patterns of roads are still unclear. Furthermore, there is a knowledge gap regarding the relationships between the size, scale, shape, structure, and space of road networks.This book presents the state-of-the-art in computational methods for modeling the topological structure of road networks. Each chapter focuses on a specific aspect of this topology and provides models, indicators, and empirical studies of road network structures. The book includes six types of structural models and three types of spatial simulation models to help understand the topological structural complexity of road networks. The appendices include several examples of road networks and their universal scale-free patterns.This interdisciplinary book is helpful for individuals interested in spatial modeling, network analysis, transportation geography, and urban studies. It is also a fundamental resource for modeling and computing spatial complex systems. The book is suitable for undergraduate, graduate, and professional researchers interested in geographic modeling and urban design. The text is written with moderate mathematical detail to enhance comprehension of the concepts and principles presented. The use of maps, graphics, and examples makes the modeling and computational processes more intuitive.
Physical Networks
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Author : Walther Burchard
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-05-31
Physical Networks written by Walther Burchard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-05-31 with Technology & Engineering categories.
Fractional Dynamics On Networks And Lattices
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Author : Thomas Michelitsch
language : en
Publisher: John Wiley & Sons
Release Date : 2019-04-10
Fractional Dynamics On Networks And Lattices written by Thomas Michelitsch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-10 with Technology & Engineering categories.
This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.
Modern And Interdisciplinary Problems In Network Science
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Author : Zengqiang Chen
language : en
Publisher: CRC Press
Release Date : 2018-09-05
Modern And Interdisciplinary Problems In Network Science written by Zengqiang Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-05 with Mathematics categories.
Modern and Interdisciplinary Problems in Network Science: A Translational Research Perspective covers a broad range of concepts and methods, with a strong emphasis on interdisciplinarity. The topics range from analyzing mathematical properties of network-based methods to applying them to application areas. By covering this broad range of topics, the book aims to fill a gap in the contemporary literature in disciplines such as physics, applied mathematics and information sciences.