Random Fields for Spatial Data Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Fields for Spatial Data Modeling write by Dionissios T. Hristopulos. This book was released on 2020-02-17. Random Fields for Spatial Data Modeling available in PDF, EPUB and Kindle. 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.
Random Fields on a Network
Random Fields on a Network - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Fields on a Network write by Xavier Guyon. This book was released on 1995-06-23. Random Fields on a Network available in PDF, EPUB and Kindle. 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.
Collecting Spatial Data
Collecting Spatial Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Collecting Spatial Data write by Werner G. Müller. This book was released on 2007-08-17. Collecting Spatial Data available in PDF, EPUB and Kindle. The book is concerned with the statistical theory for locating spatial sensors. It bridges the gap between spatial statistics and optimum design theory. After introductions to those two fields the topics of exploratory designs and designs for spatial trend and variogram estimation are treated. Special attention is devoted to describing new methodologies to cope with the problem of correlated observations.
Prediction of Random Fields and Modeling of Spatial-temporal Satellite Data
Prediction of Random Fields and Modeling of Spatial-temporal Satellite Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Prediction of Random Fields and Modeling of Spatial-temporal Satellite Data write by Montserrat Fuentes. This book was released on 1998. Prediction of Random Fields and Modeling of Spatial-temporal Satellite Data available in PDF, EPUB and Kindle.
Markov Random Field Modeling in Image Analysis
Markov Random Field Modeling in Image Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Markov Random Field Modeling in Image Analysis write by Stan Z. Li. This book was released on 2009-04-03. Markov Random Field Modeling in Image Analysis available in PDF, EPUB and Kindle. Markov random field (MRF) theory provides a basis for modeling contextual constraints in visual processing and interpretation. It enables us to develop optimal vision algorithms systematically when used with optimization principles. This book presents a comprehensive study on the use of MRFs for solving computer vision problems. Various vision models are presented in a unified framework, including image restoration and reconstruction, edge and region segmentation, texture, stereo and motion, object matching and recognition, and pose estimation. This third edition includes the most recent advances and has new and expanded sections on topics such as: Bayesian Network; Discriminative Random Fields; Strong Random Fields; Spatial-Temporal Models; Learning MRF for Classification. This book is an excellent reference for researchers working in computer vision, image processing, statistical pattern recognition and applications of MRFs. It is also suitable as a text for advanced courses in these areas.
