Random Fields On A Network

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Random Fields on a Network

Author : Xavier Guyon
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 53,9 Mb
Release : 1995-06-23
Category : Mathematics
ISBN : 0387944281

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Random Fields on a Network by Xavier Guyon Pdf

The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years. This book provides a graduate-level introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of second-order processes. A particular strength of this book is its emphasis on examples - both to motivate the theory which is being developed, and to demonstrate the applications which range from statistical mechanics to image analysis and from statistics to stochastic algorithms.

Random Fields on a Network

Author : Xavier Guyon
Publisher : Unknown
Page : 255 pages
File Size : 43,5 Mb
Release : 1995
Category : Random fields
ISBN : 3540944281

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Random Fields on a Network by Xavier Guyon Pdf

Markov Random Field

Author : Fouad Sabry
Publisher : One Billion Knowledgeable
Page : 101 pages
File Size : 50,9 Mb
Release : 2024-05-12
Category : Computers
ISBN : PKEY:6610000567577

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Markov Random Field by Fouad Sabry Pdf

What is Markov Random Field In the domain of physics and probability, a Markov random field (MRF), Markov network or undirected graphical model is a set of random variables having a Markov property described by an undirected graph. In other words, a random field is said to be a Markov random field if it satisfies Markov properties. The concept originates from the Sherrington-Kirkpatrick model. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Markov random field Chapter 2: Multivariate random variable Chapter 3: Hidden Markov model Chapter 4: Bayesian network Chapter 5: Graphical model Chapter 6: Random field Chapter 7: Belief propagation Chapter 8: Factor graph Chapter 9: Conditional random field Chapter 10: Hammersley-Clifford theorem (II) Answering the public top questions about markov random field. (III) Real world examples for the usage of markov random field in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Markov Random Field.

Hybrid Random Fields

Author : Antonino Freno,Edmondo Trentin
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 40,6 Mb
Release : 2011-04-11
Category : Technology & Engineering
ISBN : 9783642203084

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Hybrid Random Fields by Antonino Freno,Edmondo Trentin Pdf

This book presents an exciting new synthesis of directed and undirected, discrete and continuous graphical models. Combining elements of Bayesian networks and Markov random fields, the newly introduced hybrid random fields are an interesting approach to get the best of both these worlds, with an added promise of modularity and scalability. The authors have written an enjoyable book---rigorous in the treatment of the mathematical background, but also enlivened by interesting and original historical and philosophical perspectives. -- Manfred Jaeger, Aalborg Universitet The book not only marks an effective direction of investigation with significant experimental advances, but it is also---and perhaps primarily---a guide for the reader through an original trip in the space of probabilistic modeling. While digesting the book, one is enriched with a very open view of the field, with full of stimulating connections. [...] Everyone specifically interested in Bayesian networks and Markov random fields should not miss it. -- Marco Gori, Università degli Studi di Siena Graphical models are sometimes regarded---incorrectly---as an impractical approach to machine learning, assuming that they only work well for low-dimensional applications and discrete-valued domains. While guiding the reader through the major achievements of this research area in a technically detailed yet accessible way, the book is concerned with the presentation and thorough (mathematical and experimental) investigation of a novel paradigm for probabilistic graphical modeling, the hybrid random field. This model subsumes and extends both Bayesian networks and Markov random fields. Moreover, it comes with well-defined learning algorithms, both for discrete and continuous-valued domains, which fit the needs of real-world applications involving large-scale, high-dimensional data.

Control of Spatially Structured Random Processes and Random Fields with Applications

Author : Ruslan K. Chornei,Hans Daduna,Pavel S. Knopov
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 52,6 Mb
Release : 2006-09-03
Category : Mathematics
ISBN : 9780387312798

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Control of Spatially Structured Random Processes and Random Fields with Applications by Ruslan K. Chornei,Hans Daduna,Pavel S. Knopov Pdf

This book is devoted to the study and optimization of spatiotemporal stochastic processes - processes which develop simultaneously in space and time under random influences. These processes are seen to occur almost everywhere when studying the global behavior of complex systems. The book presents problems and content not considered in other books on controlled Markov processes, especially regarding controlled Markov fields on graphs.

Estimation of Random Fields from Network Observations

Author : André François Cabannes,Stanford University. Department of Statistics
Publisher : Unknown
Page : 272 pages
File Size : 55,7 Mb
Release : 1979
Category : Estimation theory
ISBN : STANFORD:36105025675864

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Estimation of Random Fields from Network Observations by André François Cabannes,Stanford University. Department of Statistics Pdf

Random Fields for Spatial Data Modeling

Author : Dionissios T. Hristopulos
Publisher : Springer Nature
Page : 884 pages
File Size : 42,5 Mb
Release : 2020-02-17
Category : Science
ISBN : 9789402419184

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Random Fields for Spatial Data Modeling by Dionissios T. Hristopulos Pdf

This book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.

50 years of Statistical Physics in Mexico: Development, State of the Art and Perspectives

Author : Ramon Castañeda-Priego,Enrique Hernandez-Lemus,Susana Figueroa-Gerstenmaier,Atahualpa Kraemer
Publisher : Frontiers Media SA
Page : 213 pages
File Size : 43,8 Mb
Release : 2021-09-13
Category : Science
ISBN : 9782889712953

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50 years of Statistical Physics in Mexico: Development, State of the Art and Perspectives by Ramon Castañeda-Priego,Enrique Hernandez-Lemus,Susana Figueroa-Gerstenmaier,Atahualpa Kraemer Pdf

Quantum Computing: Physics, Blockchains, And Deep Learning Smart Networks

Author : Melanie Swan,Renato P Dos Santos,Frank Witte
Publisher : World Scientific
Page : 400 pages
File Size : 50,5 Mb
Release : 2020-03-20
Category : Science
ISBN : 9781786348227

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Quantum Computing: Physics, Blockchains, And Deep Learning Smart Networks by Melanie Swan,Renato P Dos Santos,Frank Witte Pdf

Quantum information and contemporary smart network domains are so large and complex as to be beyond the reach of current research approaches. Hence, new theories are needed for their understanding and control. Physics is implicated as smart networks are physical systems comprised of particle-many items interacting and reaching criticality and emergence across volumes of macroscopic and microscopic states. Methods are integrated from statistical physics, information theory, and computer science. Statistical neural field theory and the AdS/CFT correspondence are employed to derive a smart network field theory (SNFT) and a smart network quantum field theory (SNQFT) for the orchestration of smart network systems. Specifically, a smart network field theory (conventional or quantum) is a field theory for the organization of particle-many systems from a characterization, control, criticality, and novelty emergence perspective.This book provides insight as to how quantum information science as a paradigm shift in computing may influence other high-impact digital transformation technologies, such as blockchain and machine learning. Smart networks refer to the idea that the internet is no longer simply a communications network, but rather a computing platform. The trajectory is that of communications networks becoming computing networks (with self-executing code), and perhaps ultimately quantum computing networks. Smart network technologies are conceived as autonomous self-operating computing networks. This includes blockchain economies, deep learning neural networks, autonomous supply chains, self-piloting driving fleets, unmanned aerial vehicles, industrial robotics cloudminds, real-time bidding for advertising, high-frequency trading networks, smart city IoT sensors, and the quantum internet.

Virtual Communities, Social Networks and Collaboration

Author : Athina A. Lazakidou
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 42,9 Mb
Release : 2012-06-20
Category : Computers
ISBN : 9781461436348

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Virtual Communities, Social Networks and Collaboration by Athina A. Lazakidou Pdf

Online communities are among the most obvious manifestations of social networks based on new media technology. Facilitating ad-hoc communication and leveraging collective intelligence by matching similar or related users have become important success factors in almost every successful business plan. Researchers are just beginning to understand virtual communities and collaborations among participants currently proliferating across the world. Virtual Communities, Social Networks and Collaboration covers cutting edge research topics of utmost real-world importance in the specific domain of social networks. This volume focuses on exploring issues relating to the design, development, and outcomes from electronic groups and online communities, including: - The implications of social networking, - Understanding of how and why knowledge is shared among participants, - What leads to participation, effective collaboration, co-creation and innovation, - How organizations can better utilize the potential benefits of communities in both internal operations, marketing, and new product development.

Applications

Author : Katharina Morik,Jörg Rahnenführer,Christian Wietfeld,Jens Buß,Andreas Becker
Publisher : Walter de Gruyter GmbH & Co KG
Page : 478 pages
File Size : 54,9 Mb
Release : 2022-12-31
Category : Science
ISBN : 9783110785982

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Applications by Katharina Morik,Jörg Rahnenführer,Christian Wietfeld,Jens Buß,Andreas Becker Pdf

Machine learning is part of Artificial Intelligence since its beginning. Certainly, not learning would only allow the perfect being to show intelligent behavior. All others, be it humans or machines, need to learn in order to enhance their capabilities. In the eighties of the last century, learning from examples and modeling human learning strategies have been investigated in concert. The formal statistical basis of many learning methods has been put forward later on and is still an integral part of machine learning. Neural networks have always been in the toolbox of methods. Integrating all the pre-processing, exploitation of kernel functions, and transformation steps of a machine learning process into the architecture of a deep neural network increased the performance of this model type considerably. Modern machine learning is challenged on the one hand by the amount of data and on the other hand by the demand of real-time inference. This leads to an interest in computing architectures and modern processors. For a long time, the machine learning research could take the von-Neumann architecture for granted. All algorithms were designed for the classical CPU. Issues of implementation on a particular architecture have been ignored. This is no longer possible. The time for independently investigating machine learning and computational architecture is over. Computing architecture has experienced a similarly rampant development from mainframe or personal computers in the last century to now very large compute clusters on the one hand and ubiquitous computing of embedded systems in the Internet of Things on the other hand. Cyber-physical systems’ sensors produce a huge amount of streaming data which need to be stored and analyzed. Their actuators need to react in real-time. This clearly establishes a close connection with machine learning. Cyber-physical systems and systems in the Internet of Things consist of diverse components, heterogeneous both in hard- and software. Modern multi-core systems, graphic processors, memory technologies and hardware-software codesign offer opportunities for better implementations of machine learning models. Machine learning and embedded systems together now form a field of research which tackles leading edge problems in machine learning, algorithm engineering, and embedded systems. Machine learning today needs to make the resource demands of learning and inference meet the resource constraints of used computer architecture and platforms. A large variety of algorithms for the same learning method and, moreover, diverse implementations of an algorithm for particular computing architectures optimize learning with respect to resource efficiency while keeping some guarantees of accuracy. The trade-off between a decreased energy consumption and an increased error rate, to just give an example, needs to be theoretically shown for training a model and the model inference. Pruning and quantization are ways of reducing the resource requirements by either compressing or approximating the model. In addition to memory and energy consumption, timeliness is an important issue, since many embedded systems are integrated into large products that interact with the physical world. If the results are delivered too late, they may have become useless. As a result, real-time guarantees are needed for such systems. To efficiently utilize the available resources, e.g., processing power, memory, and accelerators, with respect to response time, energy consumption, and power dissipation, different scheduling algorithms and resource management strategies need to be developed. This book series addresses machine learning under resource constraints as well as the application of the described methods in various domains of science and engineering. Turning big data into smart data requires many steps of data analysis: methods for extracting and selecting features, filtering and cleaning the data, joining heterogeneous sources, aggregating the data, and learning predictions need to scale up. The algorithms are challenged on the one hand by high-throughput data, gigantic data sets like in astrophysics, on the other hand by high dimensions like in genetic data. Resource constraints are given by the relation between the demands for processing the data and the capacity of the computing machinery. The resources are runtime, memory, communication, and energy. Novel machine learning algorithms are optimized with regard to minimal resource consumption. Moreover, learned predictions are applied to program executions in order to save resources. The three books will have the following subtopics: Volume 1: Machine Learning under Resource Constraints - Fundamentals Volume 2: Machine Learning and Physics under Resource Constraints - Discovery Volume 3: Machine Learning under Resource Constraints - Applications Volume 3 describes how the resource-aware machine learning methods and techniques are used to successfully solve real-world problems. The book provides numerous specific application examples. In the areas of health and medicine, it is demonstrated how machine learning can improve risk modelling, diagnosis, and treatment selection for diseases. Machine learning supported quality control during the manufacturing process in a factory allows to reduce material and energy cost and save testing times is shown by the diverse real-time applications in electronics and steel production as well as milling. Additional application examples show, how machine-learning can make traffic, logistics and smart cities more efficient and sustainable. Finally, mobile communications can benefit substantially from machine learning, for example by uncovering hidden characteristics of the wireless channel.

Computational Intelligence in Bioinformatics

Author : Arpad Kelemen,Ajith Abraham,Yuehui Chen
Publisher : Springer
Page : 326 pages
File Size : 45,6 Mb
Release : 2008-01-03
Category : Science
ISBN : 9783540768036

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Computational Intelligence in Bioinformatics by Arpad Kelemen,Ajith Abraham,Yuehui Chen Pdf

Bioinformatics involve the creation and advancement of algorithms using techniques including computational intelligence, applied mathematics and statistics, informatics, and biochemistry to solve biological problems usually on the molecular level. This book deals with the application of computational intelligence in bioinformatics. Addressing the various issues of bioinformatics using different computational intelligence approaches is the novelty of this edited volume.

Tools for Design, Implementation and Verification of Emerging Information Technologies

Author : Yu Weng,Yuyu Yin,Li Kuang,Zijian Zhang
Publisher : Springer Nature
Page : 159 pages
File Size : 46,9 Mb
Release : 2021-05-21
Category : Computers
ISBN : 9783030774288

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Tools for Design, Implementation and Verification of Emerging Information Technologies by Yu Weng,Yuyu Yin,Li Kuang,Zijian Zhang Pdf

This book constitutes the refereed post-conference proceedings of the 15th EAI International Conference on Tools for Design, Implementation and Verification of Emerging Information Technologies, TridentCom 2020. Due to COVID 19 pandemic the conference was held virtually. The 12 full papers were selected from 32 submissions and deal the emerging technologies of big data, cyber-physical systems and computer communications. The papers are grouped in thematical sessions on computer network and testbed application as well as analytics for big data of images and test.

Compressive Sensing for Wireless Networks

Author : Zhu Han,Husheng Li,Wotao Yin
Publisher : Cambridge University Press
Page : 128 pages
File Size : 40,5 Mb
Release : 2013-06-06
Category : Technology & Engineering
ISBN : 9781107328464

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Compressive Sensing for Wireless Networks by Zhu Han,Husheng Li,Wotao Yin Pdf

Compressive sensing is a new signal processing paradigm that aims to encode sparse signals by using far lower sampling rates than those in the traditional Nyquist approach. It helps acquire, store, fuse and process large data sets efficiently and accurately. This method, which links data acquisition, compression, dimensionality reduction and optimization, has attracted significant attention from researchers and engineers in various areas. This comprehensive reference develops a unified view on how to incorporate efficiently the idea of compressive sensing over assorted wireless network scenarios, interweaving concepts from signal processing, optimization, information theory, communications and networking to address the issues in question from an engineering perspective. It enables students, researchers and communications engineers to develop a working knowledge of compressive sensing, including background on the basics of compressive sensing theory, an understanding of its benefits and limitations, and the skills needed to take advantage of compressive sensing in wireless networks.

High-Dimensional Single Cell Analysis

Author : Harris G. Fienberg,Garry P. Nolan
Publisher : Springer
Page : 215 pages
File Size : 49,8 Mb
Release : 2014-04-22
Category : Medical
ISBN : 9783642548277

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High-Dimensional Single Cell Analysis by Harris G. Fienberg,Garry P. Nolan Pdf

This volume highlights the most interesting biomedical and clinical applications of high-dimensional flow and mass cytometry. It reviews current practical approaches used to perform high-dimensional experiments and addresses key bioinformatic techniques for the analysis of data sets involving dozens of parameters in millions of single cells. Topics include single cell cancer biology; studies of the human immunome; exploration of immunological cell types such as CD8+ T cells; decipherment of signaling processes of cancer; mass-tag cellular barcoding; analysis of protein interactions by proximity ligation assays; Cytobank, a platform for the analysis of cytometry data; computational analysis of high-dimensional flow cytometric data; computational deconvolution approaches for the description of intracellular signaling dynamics and hyperspectral cytometry. All 10 chapters of this book have been written by respected experts in their fields. It is an invaluable reference book for both basic and clinical researchers.