Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/C125E5F5-07EA-4310-AC61-ABE669D81660 | - |
| Αναγνωριστικό | https://doi.org/10.1007/978-94-024-1918-4 | - |
| Αναγνωριστικό | https://link.springer.com/book/10.1007/978-94-024-1918-4 | - |
| Γλώσσα | en | - |
| Μέγεθος | 867 pages | en |
| Τίτλος | Random fields for spatial data modeling: a primer for scientists and engineers | en |
| Δημιουργός | Christopoulos Dionysios | en |
| Δημιουργός | Χριστοπουλος Διονυσιος | el |
| Εκδότης | Springer Nature | en |
| Περίληψη | 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. | en |
| Τύπος | Βιβλίο | el |
| Τύπος | Book | en |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2022-07-27 | - |
| Ημερομηνία Δημοσίευσης | 2020 | - |
| Θεματική Κατηγορία | Conditional simulation | en |
| Θεματική Κατηγορία | Gaussian statistical field theory | en |
| Θεματική Κατηγορία | Local interaction models | en |
| Θεματική Κατηγορία | Random fields | en |
| Θεματική Κατηγορία | Spatial analysis of natural systems | en |
| Θεματική Κατηγορία | Spatial data modelling | en |
| Θεματική Κατηγορία | Spatial random field theory | en |
| Θεματική Κατηγορία | Spatial statistics | en |
| Θεματική Κατηγορία | Stochastics differential equations data-driven science, modeling and theory building | en |
| Βιβλιογραφική Αναφορά | D. T. Hristopoulos, “Random fields for spatial data modeling: a primer for scientists and engineers,” Advances in Geographic Information Science, Dordrecht, The Netherlands: Springer Nature, 2020, doi: 10.1007/978-94-024-1918-4. | en |
| Έκδοση Βιβλίου | 1 | - |
| Σειρά Βιβλίου | Advances in Geographic Information Science | en |
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