Spectral Analysis Of Growing Graphs

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Spectral Analysis of Growing Graphs

Author : Nobuaki Obata
Publisher : Springer
ISBN 13 : 9811035067
Total Pages : 141 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Spectral Analysis of Growing Graphs by : Nobuaki Obata

Download or read book Spectral Analysis of Growing Graphs written by Nobuaki Obata and published by Springer. This book was released on 2017-02-17 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as a concise introduction to the recent achievements on spectral analysis of graphs or networks from the point of view of quantum (or non-commutative) probability theory. The main topics are spectral distributions of the adjacency matrices of finite or infinite graphs and their limit distributions for growing graphs. The main vehicle is quantum probability, an algebraic extension of the traditional probability theory, which provides a new framework for the analysis of adjacency matrices revealing their non-commutative nature. For example, the method of quantum decomposition makes it possible to study spectral distributions by means of interacting Fock spaces or equivalently by orthogonal polynomials. Various concepts of independence in quantum probability and corresponding central limit theorems are used for the asymptotic study of spectral distributions for product graphs.This book is written for researchers, teachers, and students interested in graph spectra, their (asymptotic) spectral distributions, and various ideas and methods on the basis of quantum probability. It is also useful for a quick introduction to quantum probability and for an analytic basis of orthogonal polynomials.

Quantum Probability and Spectral Analysis of Graphs

Author : Akihito Hora
Publisher : Springer Science & Business Media
ISBN 13 : 3540488634
Total Pages : 384 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quantum Probability and Spectral Analysis of Graphs by : Akihito Hora

Download or read book Quantum Probability and Spectral Analysis of Graphs written by Akihito Hora and published by Springer Science & Business Media. This book was released on 2007-07-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

Spectral Analysis of Growing Graphs

Author : Nobuaki Obata
Publisher :
ISBN 13 : 9789811035074
Total Pages : 138 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Spectral Analysis of Growing Graphs by : Nobuaki Obata

Download or read book Spectral Analysis of Growing Graphs written by Nobuaki Obata and published by . This book was released on 2017 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groups and Graphs, Designs and Dynamics

Author : R. A. Bailey
Publisher : Cambridge University Press
ISBN 13 : 1009465945
Total Pages : 452 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Groups and Graphs, Designs and Dynamics by : R. A. Bailey

Download or read book Groups and Graphs, Designs and Dynamics written by R. A. Bailey and published by Cambridge University Press. This book was released on 2024-05-30 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references.

Graph Representation Learning

Author : William L. William L. Hamilton
Publisher : Springer Nature
ISBN 13 : 3031015886
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Graph Representation Learning by : William L. William L. Hamilton

Download or read book Graph Representation Learning written by William L. William L. Hamilton and published by Springer Nature. This book was released on 2022-06-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.

Graph Spectral Image Processing

Author : Gene Cheung
Publisher : John Wiley & Sons
ISBN 13 : 1119850819
Total Pages : 322 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Graph Spectral Image Processing by : Gene Cheung

Download or read book Graph Spectral Image Processing written by Gene Cheung and published by John Wiley & Sons. This book was released on 2021-08-16 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph spectral image processing is the study of imaging data from a graph frequency perspective. Modern image sensors capture a wide range of visual data including high spatial resolution/high bit-depth 2D images and videos, hyperspectral images, light field images and 3D point clouds. The field of graph signal processing – extending traditional Fourier analysis tools such as transforms and wavelets to handle data on irregular graph kernels – provides new flexible computational tools to analyze and process these varied types of imaging data. Recent methods combine graph signal processing ideas with deep neural network architectures for enhanced performances, with robustness and smaller memory requirements. The book is divided into two parts. The first is centered on the fundamentals of graph signal processing theories, including graph filtering, graph learning and graph neural networks. The second part details several imaging applications using graph signal processing tools, including image and video compression, 3D image compression, image restoration, point cloud processing, image segmentation and image classification, as well as the use of graph neural networks for image processing.

An Introduction to the Theory of Graph Spectra

Author : Dragoš Cvetković
Publisher : Cambridge University Press
ISBN 13 : 9780521134088
Total Pages : 0 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis An Introduction to the Theory of Graph Spectra by : Dragoš Cvetković

Download or read book An Introduction to the Theory of Graph Spectra written by Dragoš Cvetković and published by Cambridge University Press. This book was released on 2009-10-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many new developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.

Vertex-Frequency Analysis of Graph Signals

Author : Ljubiša Stanković
Publisher : Springer
ISBN 13 : 3030035743
Total Pages : 516 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Vertex-Frequency Analysis of Graph Signals by : Ljubiša Stanković

Download or read book Vertex-Frequency Analysis of Graph Signals written by Ljubiša Stanković and published by Springer. This book was released on 2018-12-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new methods to analyze vertex-varying graph signals. In many real-world scenarios, the data sensing domain is not a regular grid, but a more complex network that consists of sensing points (vertices) and edges (relating the sensing points). Furthermore, sensing geometry or signal properties define the relation among sensed signal points. Even for the data sensed in the well-defined time or space domain, the introduction of new relationships among the sensing points may produce new insights in the analysis and result in more advanced data processing techniques. The data domain, in these cases and discussed in this book, is defined by a graph. Graphs exploit the fundamental relations among the data points. Processing of signals whose sensing domains are defined by graphs resulted in graph data processing as an emerging field in signal processing. Although signal processing techniques for the analysis of time-varying signals are well established, the corresponding graph signal processing equivalent approaches are still in their infancy. This book presents novel approaches to analyze vertex-varying graph signals. The vertex-frequency analysis methods use the Laplacian or adjacency matrix to establish connections between vertex and spectral (frequency) domain in order to analyze local signal behavior where edge connections are used for graph signal localization. The book applies combined concepts from time-frequency and wavelet analyses of classical signal processing to the analysis of graph signals. Covering analytical tools for vertex-varying applications, this book is of interest to researchers and practitioners in engineering, science, neuroscience, genome processing, just to name a few. It is also a valuable resource for postgraduate students and researchers looking to expand their knowledge of the vertex-frequency analysis theory and its applications. The book consists of 15 chapters contributed by 41 leading researches in the field.

Analysis on Graphs and Its Applications

Author : Pavel Exner
Publisher : American Mathematical Soc.
ISBN 13 : 0821844717
Total Pages : 721 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analysis on Graphs and Its Applications by : Pavel Exner

Download or read book Analysis on Graphs and Its Applications written by Pavel Exner and published by American Mathematical Soc.. This book was released on 2008 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.

Progress in Nanophotonics 5

Author : Takashi Yatsui
Publisher : Springer
ISBN 13 : 3319982672
Total Pages : 215 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Progress in Nanophotonics 5 by : Takashi Yatsui

Download or read book Progress in Nanophotonics 5 written by Takashi Yatsui and published by Springer. This book was released on 2018-08-29 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents important topics in nanophotonics in review-style chapters written by world leading scientists. The book sketches the history of dressed photon science and technology and explains why advanced theories of dressed photons are required. To meet this requirement, the recent results of theoretical studies and the theory of dressed photons are displayed by modifying the conventional electromagnetic theory. The classical theoretical model of spatiotemporal vortex dynamics is explained by treating the dressed photon as a space-like virtual photon. Also discussed in the book is the energy transfer of dressed photons, based on a quantum walk model and a quantum mechanical measurement process of dressed photons for connecting the nano- and macro-systems. Dressed photons are explained as quantum fields by characterizing them in momentum space.

Selected Papers on Analysis and Related Topics

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839287
Total Pages : 190 pages
Book Rating : 4.8/5 (392 download)

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Book Synopsis Selected Papers on Analysis and Related Topics by :

Download or read book Selected Papers on Analysis and Related Topics written by and published by American Mathematical Soc.. This book was released on 2008 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal 'Sugaku'. The papers range over a variety of topics, including operator algebras, analysis, and statistics.

Graph-Based Methods in Computer Vision: Developments and Applications

Author : Bai, Xiao
Publisher : IGI Global
ISBN 13 : 1466618922
Total Pages : 395 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Graph-Based Methods in Computer Vision: Developments and Applications by : Bai, Xiao

Download or read book Graph-Based Methods in Computer Vision: Developments and Applications written by Bai, Xiao and published by IGI Global. This book was released on 2012-07-31 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer vision, the science and technology of machines that see, has been a rapidly developing research area since the mid-1970s. It focuses on the understanding of digital input images in many forms, including video and 3-D range data. Graph-Based Methods in Computer Vision: Developments and Applications presents a sampling of the research issues related to applying graph-based methods in computer vision. These methods have been under-utilized in the past, but use must now be increased because of their ability to naturally and effectively represent image models and data. This publication explores current activity and future applications of this fascinating and ground-breaking topic.

A Beginner's Guide to Graph Theory

Author : W.D. Wallis
Publisher : Springer Science & Business Media
ISBN 13 : 0817645802
Total Pages : 266 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Beginner's Guide to Graph Theory by : W.D. Wallis

Download or read book A Beginner's Guide to Graph Theory written by W.D. Wallis and published by Springer Science & Business Media. This book was released on 2010-05-05 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

Instrument Engineers' Handbook, Volume 3

Author : Bela G. Liptak
Publisher : CRC Press
ISBN 13 : 1351832980
Total Pages : 1142 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Instrument Engineers' Handbook, Volume 3 by : Bela G. Liptak

Download or read book Instrument Engineers' Handbook, Volume 3 written by Bela G. Liptak and published by CRC Press. This book was released on 2018-10-08 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instrument Engineers' Handbook – Volume 3: Process Software and Digital Networks, Fourth Edition is the latest addition to an enduring collection that industrial automation (AT) professionals often refer to as the "bible." First published in 1970, the entire handbook is approximately 5,000 pages, designed as standalone volumes that cover the measurement (Volume 1), control (Volume 2), and software (Volume 3) aspects of automation. This fourth edition of the third volume provides an in-depth, state-of-the-art review of control software packages used in plant optimization, control, maintenance, and safety. Each updated volume of this renowned reference requires about ten years to prepare, so revised installments have been issued every decade, taking into account the numerous developments that occur from one publication to the next. Assessing the rapid evolution of automation and optimization in control systems used in all types of industrial plants, this book details the wired/wireless communications and software used. This includes the ever-increasing number of applications for intelligent instruments, enhanced networks, Internet use, virtual private networks, and integration of control systems with the main networks used by management, all of which operate in a linked global environment. Topics covered include: Advances in new displays, which help operators to more quickly assess and respond to plant conditions Software and networks that help monitor, control, and optimize industrial processes, to determine the efficiency, energy consumption, and profitability of operations Strategies to counteract changes in market conditions and energy and raw material costs Techniques to fortify the safety of plant operations and the security of digital communications systems This volume explores why the holistic approach to integrating process and enterprise networks is convenient and efficient, despite associated problems involving cyber and local network security, energy conservation, and other issues. It shows how firewalls must separate the business (IT) and the operation (automation technology, or AT) domains to guarantee the safe function of all industrial plants. This book illustrates how these concerns must be addressed using effective technical solutions and proper management policies and practices. Reinforcing the fact that all industrial control systems are, in general, critically interdependent, this handbook provides a wide range of software application examples from industries including: automotive, mining, renewable energy, steel, dairy, pharmaceutical, mineral processing, oil, gas, electric power, utility, and nuclear power.

Selected Water Resources Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 802 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Selected Water Resources Abstracts by :

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1975-03 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Meeting Abstracts

Author : Electrochemical Society. Meeting
Publisher :
ISBN 13 :
Total Pages : 3084 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Meeting Abstracts by : Electrochemical Society. Meeting

Download or read book Meeting Abstracts written by Electrochemical Society. Meeting and published by . This book was released on 1997 with total page 3084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Compendium in Astronomy

Author : Elias G. Mariolopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 9400977662
Total Pages : 453 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Compendium in Astronomy by : Elias G. Mariolopoulos

Download or read book Compendium in Astronomy written by Elias G. Mariolopoulos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we first approached some colleagues allover the world to sound them about a volume dedicated to Professor John Xanthakis on the occasion of completing twenty-five years of scientific activities as fellow of the National Academy of Athens, any possible doubts as to the feasibility of the project were quickly dispelled by their warm and encouraging response. In a short time 50 authors from 15 countries, coming from a wide range of Professor Xanthakis' immediate colleagues, pupils and friends joined to produce the 36 contributions included in this volume. Some of those who where originally approached found themselves un able to contribute, because of the time-limit necessarily imposed. Happi ly, they were only few in number, and we should like to record our grat itude to them for their good wishes for the success of the venture. Their warm words were among the many sources of inspiring encouragement extended to us.