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Nonlinear Filtering

Nonlinear Filtering
Author: Jitendra R. Raol
Publisher: CRC Press
Total Pages: 581
Release: 2017-07-12
Genre: Technology & Engineering
ISBN: 1498745180

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Nonlinear Filtering covers linear and nonlinear filtering in a comprehensive manner, with appropriate theoretic and practical development. Aspects of modeling, estimation, recursive filtering, linear filtering, and nonlinear filtering are presented with appropriate and sufficient mathematics. A modeling-control-system approach is used when applicable, and detailed practical applications are presented to elucidate the analysis and filtering concepts. MATLAB routines are included, and examples from a wide range of engineering applications - including aerospace, automated manufacturing, robotics, and advanced control systems - are referenced throughout the text.


Nonlinear Filters

Nonlinear Filters
Author: Peyman Setoodeh
Publisher: John Wiley & Sons
Total Pages: 308
Release: 2022-03-04
Genre: Technology & Engineering
ISBN: 1119078156

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NONLINEAR FILTERS Discover the utility of using deep learning and (deep) reinforcement learning in deriving filtering algorithms with this insightful and powerful new resource Nonlinear Filters: Theory and Applications delivers an insightful view on state and parameter estimation by merging ideas from control theory, statistical signal processing, and machine learning. Taking an algorithmic approach, the book covers both classic and machine learning-based filtering algorithms. Readers of Nonlinear Filters will greatly benefit from the wide spectrum of presented topics including stability, robustness, computability, and algorithmic sufficiency. Readers will also enjoy: Organization that allows the book to act as a stand-alone, self-contained reference A thorough exploration of the notion of observability, nonlinear observers, and the theory of optimal nonlinear filtering that bridges the gap between different science and engineering disciplines A profound account of Bayesian filters including Kalman filter and its variants as well as particle filter A rigorous derivation of the smooth variable structure filter as a predictor-corrector estimator formulated based on a stability theorem, used to confine the estimated states within a neighborhood of their true values A concise tutorial on deep learning and reinforcement learning A detailed presentation of the expectation maximization algorithm and its machine learning-based variants, used for joint state and parameter estimation Guidelines for constructing nonparametric Bayesian models from parametric ones Perfect for researchers, professors, and graduate students in engineering, computer science, applied mathematics, and artificial intelligence, Nonlinear Filters: Theory and Applications will also earn a place in the libraries of those studying or practicing in fields involving pandemic diseases, cybersecurity, information fusion, augmented reality, autonomous driving, urban traffic network, navigation and tracking, robotics, power systems, hybrid technologies, and finance.


Nonlinear Filtering

Nonlinear Filtering
Author: Kumar Pakki Bharani Chandra
Publisher: Springer
Total Pages: 184
Release: 2018-11-20
Genre: Technology & Engineering
ISBN: 3030017974

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This book gives readers in-depth know-how on methods of state estimation for nonlinear control systems. It starts with an introduction to dynamic control systems and system states and a brief description of the Kalman filter. In the following chapters, various state estimation techniques for nonlinear systems are discussed, including the extended, unscented and cubature Kalman filters. The cubature Kalman filter and its variants are introduced in particular detail because of their efficiency and their ability to deal with systems with Gaussian and/or non-Gaussian noise. The book also discusses information-filter and square-root-filtering algorithms, useful for state estimation in some real-time control system design problems. A number of case studies are included in the book to illustrate the application of various nonlinear filtering algorithms. Nonlinear Filtering is written for academic and industrial researchers, engineers and research students who are interested in nonlinear control systems analysis and design. The chief features of the book include: dedicated coverage of recently developed nonlinear, Jacobian-free, filtering algorithms; examples illustrating the use of nonlinear filtering algorithms in real-world applications; detailed derivation and complete algorithms for nonlinear filtering methods, which help readers to a fundamental understanding and easier coding of those algorithms; and MATLAB® codes associated with case-study applications, which can be downloaded from the Springer Extra Materials website.


Bayesian Filtering and Smoothing

Bayesian Filtering and Smoothing
Author: Simo Särkkä
Publisher: Cambridge University Press
Total Pages: 255
Release: 2013-09-05
Genre: Computers
ISBN: 110703065X

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A unified Bayesian treatment of the state-of-the-art filtering, smoothing, and parameter estimation algorithms for non-linear state space models.


Non-linear Latent Variable Models for Inference and Learning from Non-Gaussian Data

Non-linear Latent Variable Models for Inference and Learning from Non-Gaussian Data
Author: Hamid Mousavi
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN:

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We present a family of probabilistic generative models that encompasses a variety of probability distributions (including Gaussian, Gamma, Beta, Poisson and many more) from the exponential family. In addition, we investigate a point-wise maximum function and introduce a novel non-linear superposition for coupling the latents and observables using two matrices (if the considered noise distribution has two parameters): One to model the component means and another for component variances. We further exploit the Expectation Maximization (EM) algorithm and show that the presented link function allows for the derivation of a very general and concise set of parameter update equations. Concretely, we derive a set of updates that have the same functional form for all regular distributions of the exponential family. Our results then provide directly applicable learning equations for commonly as well as for unusually distributed data. Finally, to assess the reliability of our theoretical findings, we consider different applications of the proposed generative models and investigate a variety of complex datasets including both synthetic and real data.


Applications of Nonlinear Dynamics To Developmental Process Modeling

Applications of Nonlinear Dynamics To Developmental Process Modeling
Author: Karl M. Newell
Publisher: Psychology Press
Total Pages: 365
Release: 2014-03-05
Genre: Psychology
ISBN: 1317779118

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There has been an increasing interest in the application of dynamical systems to the study of development over the last decade. The explosion of the dynamical systems framework in the physical and biological sciences has opened the door to a new Zeitgeist for studying development. This appeal to dynamical systems by developmentalists is natural given the intuitive links between the established fundamental problems of development and the conceptual and operational scope of nonlinear dynamical systems. This promise of a new approach and framework within which to study development has led to some progress in recent years but also a growing appreciation of the difficulty of both fully examining the new metaphor and realizing its potential. Divided into 4 parts, this book is a result of a recent conference on dynamical systems and development held at Pennsylvania State University. The first 3 parts focus on the content domains of development that have given most theoretical and empirical attention to the potential applications of dynamical systems--physical growth and movement, cognition, and communication. These parts show that a range of nonlinear models have been applied to a host of developmental phenomena. Part 4 highlights two particular methodological issues that hold important implications for the modeling of developmental phenomena with dynamical systems techniques.


Longitudinal Models in the Behavioral and Related Sciences

Longitudinal Models in the Behavioral and Related Sciences
Author: Kees van Montfort
Publisher: Routledge
Total Pages: 464
Release: 2017-09-29
Genre: Education
ISBN: 1351559753

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This volume reviews longitudinal models and analysis procedures for use in the behavioral and social sciences. Written by distinguished experts in the field, the book presents the most current approaches and theories, and the technical problems that may be encountered along the way. Readers will find new ideas about the use of longitudinal analysis in solving problems that arise due to the specific nature of the research design and the data available. Longitudinal Models in the Behavioral and Related Sciences opens with the latest theoretical developments. In particular, the book addresses situations that arise due to the categorical nature of the data, issues related to state space modeling, and potential problems that may arise from network analysis and/or growth-curve data. The focus of part two is on the application of longitudinal modeling in a variety of disciplines. The book features applications such as heterogeneity on the patterns of a firm’s profit, on house prices, and on delinquent behavior; non-linearity in growth in assessing cognitive aging; measurement error issues in longitudinal research; and distance association for the analysis of change. Part two clearly demonstrates the caution that should be taken when applying longitudinal modeling as well as in the interpretation of the results. This new volume is ideal for advanced students and researchers in psychology, sociology, education, economics, management, medicine, and neuroscience.


Dynamic Neuroscience

Dynamic Neuroscience
Author: Zhe Chen
Publisher: Springer
Total Pages: 337
Release: 2017-12-27
Genre: Technology & Engineering
ISBN: 3319719769

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This book shows how to develop efficient quantitative methods to characterize neural data and extra information that reveals underlying dynamics and neurophysiological mechanisms. Written by active experts in the field, it contains an exchange of innovative ideas among researchers at both computational and experimental ends, as well as those at the interface. Authors discuss research challenges and new directions in emerging areas with two goals in mind: to collect recent advances in statistics, signal processing, modeling, and control methods in neuroscience; and to welcome and foster innovative or cross-disciplinary ideas along this line of research and discuss important research issues in neural data analysis. Making use of both tutorial and review materials, this book is written for neural, electrical, and biomedical engineers; computational neuroscientists; statisticians; computer scientists; and clinical engineers.