Random Walks And Diffusions On Graphs And Databases

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Random Walks and Diffusions on Graphs and Databases

Philipp Blanchard,Dimitri Volchenkov
Random Walks and Diffusions on Graphs and Databases Book PDF

Author : Philipp Blanchard,Dimitri Volchenkov
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 45,9 Mb
Release : 2011-05-26
Category : Science
ISBN : 9783642195921

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Random Walks and Diffusions on Graphs and Databases Book in PDF, Epub and Kindle

Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks.

Interconnected Networks

Antonios Garas
Interconnected Networks Book PDF

Author : Antonios Garas
Publisher : Springer
Page : 229 pages
File Size : 47,6 Mb
Release : 2016-02-04
Category : Science
ISBN : 9783319239477

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Interconnected Networks Book in PDF, Epub and Kindle

This volume provides an introduction to and overview of the emerging field of interconnected networks which include multilayer or multiplex networks, as well as networks of networks. Such networks present structural and dynamical features quite different from those observed in isolated networks. The presence of links between different networks or layers of a network typically alters the way such interconnected networks behave – understanding the role of interconnecting links is therefore a crucial step towards a more accurate description of real-world systems. While examples of such dissimilar properties are becoming more abundant – for example regarding diffusion, robustness and competition – the root of such differences remains to be elucidated. Each chapter in this topical collection is self-contained and can be read on its own, thus making it also suitable as reference for experienced researchers wishing to focus on a particular topic.

Biologically Inspired Cognitive Architectures (BICA) for Young Scientists

Alexei V. Samsonovich,Valentin V. Klimov
Biologically Inspired Cognitive Architectures BICA for Young Scientists Book PDF

Author : Alexei V. Samsonovich,Valentin V. Klimov
Publisher : Springer
Page : 358 pages
File Size : 49,6 Mb
Release : 2017-07-25
Category : Technology & Engineering
ISBN : 9783319639406

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Biologically Inspired Cognitive Architectures (BICA) for Young Scientists Book in PDF, Epub and Kindle

This book includes papers from the second year of the prestigious First International Early Research Career Enhancement School (FIERCES) series: a successful, new format that puts a school in direct connection with a conference and a social program, all dedicated to young scientists. Reflecting the friendly, social atmosphere of excitement and opportunity, the papers represent a good mixture of cutting-edge research focused on advances towards the most inspiring challenges of our time and first ambitious attempts at major challenges by as yet unknown, talented young scientists. In this second year of FIERCES, the BICA Challenge (to replicate all the essential aspects of the human mind in the digital environment) meets the Cybersecurity Challenge (to protect all the essential assets of the human mind in the digital environment), which is equally important in our age. As a result, the book fosters lively discussions on today’s hot topics in science and technology, and stimulates the emergence of new cross-disciplinary, cross-generation and cross-cultural collaboration. FIERCES 2017, or the First International Early Research Career Enhancement School on Biologically Inspired Cognitive Architectures and Cybersecurity, was held on August 1–5 at the Baltschug Kempinski in Moscow, Russia.

Nonlinear Dynamics and Complexity

Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Nonlinear Dynamics and Complexity Book PDF

Author : Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 42,9 Mb
Release : 2013-11-22
Category : Technology & Engineering
ISBN : 9783319023533

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Nonlinear Dynamics and Complexity Book in PDF, Epub and Kindle

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

Spectral Analysis of Growing Graphs

Nobuaki Obata
Spectral Analysis of Growing Graphs Book PDF

Author : Nobuaki Obata
Publisher : Springer
Page : 138 pages
File Size : 45,9 Mb
Release : 2017-02-17
Category : Science
ISBN : 9789811035067

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Spectral Analysis of Growing Graphs Book in PDF, Epub and Kindle

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.

Fractional Dynamics on Networks and Lattices

Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Fractional Dynamics on Networks and Lattices Book PDF

Author : Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 41,6 Mb
Release : 2019-04-09
Category : Technology & Engineering
ISBN : 9781119608202

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Fractional Dynamics on Networks and Lattices Book in PDF, Epub and Kindle

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.

The Nature of Complex Networks

Sergey N. Dorogovtsev,José F. F. Mendes
The Nature of Complex Networks Book PDF

Author : Sergey N. Dorogovtsev,José F. F. Mendes
Publisher : Oxford University Press
Page : 456 pages
File Size : 50,9 Mb
Release : 2022-06-15
Category : Science
ISBN : 9780192693181

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The Nature of Complex Networks Book in PDF, Epub and Kindle

The Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and the different theoretical achievements in the field that are now finding strands in common. The book presents a wide range of networks and the processes taking place on them, including recently developed directions, methods, and techniques. It assumes a statistical mechanics view of random networks based on the concept of statistical ensembles but also features the approaches and methods of modern random graph theory and their overlaps with statistical physics. This book will appeal to graduate students and researchers in the fields of statistical physics, complex systems, graph theory, applied mathematics, and theoretical epidemiology.

Semigroup Methods for Evolution Equations on Networks

Delio Mugnolo
Semigroup Methods for Evolution Equations on Networks Book PDF

Author : Delio Mugnolo
Publisher : Springer
Page : 286 pages
File Size : 48,7 Mb
Release : 2014-05-21
Category : Science
ISBN : 9783319046211

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Semigroup Methods for Evolution Equations on Networks Book in PDF, Epub and Kindle

This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.

Artificial Intelligence

Sergei O. Kuznetsov,Gennady S. Osipov,Vadim L. Stefanuk
Artificial Intelligence Book PDF

Author : Sergei O. Kuznetsov,Gennady S. Osipov,Vadim L. Stefanuk
Publisher : Springer
Page : 292 pages
File Size : 42,7 Mb
Release : 2018-09-07
Category : Computers
ISBN : 9783030006174

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Artificial Intelligence Book in PDF, Epub and Kindle

This book constitutes the proceedings of the 16th Russian Conference on Artificial Intelligence, RCAI 2018, Moscow, Russia, in September 2018. The 22 full papers presented along with 4 short papers in this volume were carefully reviewed and selected from 75 submissions. The conference deals with a wide range of topics, including data mining and knowledge discovery, text mining, reasoning, decision making, natural language processing, vision, intelligent robotics, multi-agent systems, machine learning, ontology engineering.

Grammar Of Complexity: From Mathematics To A Sustainable World

Volchenkov Dimitri
Grammar Of Complexity From Mathematics To A Sustainable World Book PDF

Author : Volchenkov Dimitri
Publisher : World Scientific
Page : 284 pages
File Size : 51,5 Mb
Release : 2018-01-17
Category : Mathematics
ISBN : 9789813232518

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Grammar Of Complexity: From Mathematics To A Sustainable World Book in PDF, Epub and Kindle

The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems. Our self-consistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions. Contents: Perplexity of ComplexityPreliminaries: Permutations, Partitions, Probabilities and InformationTheory of Extreme EventsStatistical Basis of Inequality and Discounting the Future and InequalityElements of Graph Theory. Adjacency, Walks, and EntropiesExploring Graph Structures by Random WalksWe Shape Our Buildings: Thereafter They Shape UsComplexity of Musical Harmony Readership: Graduate student in information theory, complex systems and mathematical modeling. Keywords: Complex Systems and Processes;Extreme Events;Discounting the Future and Inequality;Urban Environments;Complexity of Musical HarmonyReview: Key Features: The book provides the unique treatment of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory as applied for exploration and characterization of complex systemsThe book shows how the concepts of complexity theory is applicable to the problem fo survival, urban studies, income inequality, musical harmonyThe book might be used as recommended reading for a course

Survival under Uncertainty

Dimitri Volchenkov
Survival under Uncertainty Book PDF

Author : Dimitri Volchenkov
Publisher : Springer
Page : 238 pages
File Size : 43,8 Mb
Release : 2016-06-28
Category : Science
ISBN : 9783319394213

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Survival under Uncertainty Book in PDF, Epub and Kindle

This book introduces and studies a number of stochastic models of subsistence, communication, social evolution and political transition that will allow the reader to grasp the role of uncertainty as a fundamental property of our irreversible world. At the same time, it aims to bring about a more interdisciplinary and quantitative approach across very diverse fields of research in the humanities and social sciences. Through the examples treated in this work – including anthropology, demography, migration, geopolitics, management, and bioecology, among other things – evidence is gathered to show that volatile environments may change the rules of the evolutionary selection and dynamics of any social system, creating a situation of adaptive uncertainty, in particular, whenever the rate of change of the environment exceeds the rate of adaptation. Last but not least, it is hoped that this book will contribute to the understanding that inherent randomness can also be a great opportunity – for social systems and individuals alike – to help face the challenge of “survival under uncertainty”.

Network Effects of International Shocks and Spillovers

Mr. Alexei Kireyev,Andrei Leonidov
Network Effects of International Shocks and Spillovers Book PDF

Author : Mr. Alexei Kireyev,Andrei Leonidov
Publisher : International Monetary Fund
Page : 43 pages
File Size : 55,7 Mb
Release : 2015-07-07
Category : Business & Economics
ISBN : 9781513500652

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Network Effects of International Shocks and Spillovers Book in PDF, Epub and Kindle

This paper proposes a method for assessing international spillovers from nominal demand shocks. It quantifies the impact of a shock in one country on all other countries. The paper concludes that the network effects in shock spillovers can be substantial, comparable, and often exceed the initial shock. Individual countries may amplify, absorb, or block spillovers. Most developed countries pass-through shocks, whereas low-income countries and oil exporters tend to block shock spillovers. The method is used to study demand shocks originating from a large and medium country, China and Ukraine respectively.

Smart City Networks

Stamatina Th. Rassia,Panos M. Pardalos
Smart City Networks Book PDF

Author : Stamatina Th. Rassia,Panos M. Pardalos
Publisher : Springer
Page : 227 pages
File Size : 53,5 Mb
Release : 2017-10-04
Category : Mathematics
ISBN : 9783319613130

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Smart City Networks Book in PDF, Epub and Kindle

This book both analyzes and synthesizes new cutting-edge theories and methods for future design implementations in smart cities through interdisciplinary synergizing of architecture, technology, and the Internet of Things (IoT). Implementation of IoT enables the collection and data exchange of objects embedded with electronics, software, sensors, and network connectivity. Recently IoT practices have moved into uniquely identifiable objects that are able to transfer data directly into networks. This book features new technologically advanced ideas, highlighting properties of smart future city networks. Chapter contributors include theorists, computer scientists, mathematicians, and interdisciplinary planners, who currently work on identifying theories, essential elements, and practices where the IoT can impact the formation of smart cities and sustainability via optimization, network analyses, data mining, mathematical modeling and engineering. Moreover, this book includes research-based theories and real world practices aimed toward graduate researchers, experts, practitioners and the general public interested in architecture, engineering, mathematical modeling, industrial design, computer science technologies, and related fields.

Machine Learning and Knowledge Discovery in Databases

Annalisa Appice,Pedro Pereira Rodrigues,Vítor Santos Costa,João Gama,Alípio Jorge,Carlos Soares
Machine Learning and Knowledge Discovery in Databases Book PDF

Author : Annalisa Appice,Pedro Pereira Rodrigues,Vítor Santos Costa,João Gama,Alípio Jorge,Carlos Soares
Publisher : Springer
Page : 773 pages
File Size : 44,7 Mb
Release : 2015-08-28
Category : Computers
ISBN : 9783319235257

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Machine Learning and Knowledge Discovery in Databases Book in PDF, Epub and Kindle

The three volume set LNAI 9284, 9285, and 9286 constitutes the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2015, held in Porto, Portugal, in September 2015. The 131 papers presented in these proceedings were carefully reviewed and selected from a total of 483 submissions. These include 89 research papers, 11 industrial papers, 14 nectar papers, 17 demo papers. They were organized in topical sections named: classification, regression and supervised learning; clustering and unsupervised learning; data preprocessing; data streams and online learning; deep learning; distance and metric learning; large scale learning and big data; matrix and tensor analysis; pattern and sequence mining; preference learning and label ranking; probabilistic, statistical, and graphical approaches; rich data; and social and graphs. Part III is structured in industrial track, nectar track, and demo track.

Machine Learning and Knowledge Discovery in Databases. Applied Data Science and Demo Track

Yuxiao Dong,Georgiana Ifrim,Dunja Mladenić,Craig Saunders,Sofie Van Hoecke
Machine Learning and Knowledge Discovery in Databases Applied Data Science and Demo Track Book PDF

Author : Yuxiao Dong,Georgiana Ifrim,Dunja Mladenić,Craig Saunders,Sofie Van Hoecke
Publisher : Springer Nature
Page : 577 pages
File Size : 52,9 Mb
Release : 2021-02-24
Category : Computers
ISBN : 9783030676704

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Machine Learning and Knowledge Discovery in Databases. Applied Data Science and Demo Track Book in PDF, Epub and Kindle

The 5-volume proceedings, LNAI 12457 until 12461 constitutes the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2020, which was held during September 14-18, 2020. The conference was planned to take place in Ghent, Belgium, but had to change to an online format due to the COVID-19 pandemic. The 232 full papers and 10 demo papers presented in this volume were carefully reviewed and selected for inclusion in the proceedings. The volumes are organized in topical sections as follows: Part I: Pattern Mining; clustering; privacy and fairness; (social) network analysis and computational social science; dimensionality reduction and autoencoders; domain adaptation; sketching, sampling, and binary projections; graphical models and causality; (spatio-) temporal data and recurrent neural networks; collaborative filtering and matrix completion. Part II: deep learning optimization and theory; active learning; adversarial learning; federated learning; Kernel methods and online learning; partial label learning; reinforcement learning; transfer and multi-task learning; Bayesian optimization and few-shot learning. Part III: Combinatorial optimization; large-scale optimization and differential privacy; boosting and ensemble methods; Bayesian methods; architecture of neural networks; graph neural networks; Gaussian processes; computer vision and image processing; natural language processing; bioinformatics. Part IV: applied data science: recommendation; applied data science: anomaly detection; applied data science: Web mining; applied data science: transportation; applied data science: activity recognition; applied data science: hardware and manufacturing; applied data science: spatiotemporal data. Part V: applied data science: social good; applied data science: healthcare; applied data science: e-commerce and finance; applied data science: computational social science; applied data science: sports; demo track.