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Simultaneous localization and mapping (SLAM) is a process where an autonomous vehicle builds a map of an unknown environment while concurrently generating an estimate for its location. This book is concerned with computationally efficient solutions to the large scale SLAM problems using exactly sparse Extended Information Filters (EIF). The invaluable book also provides a comprehensive theoretical analysis of the properties of the information matrix in EIF-based algorithms for SLAM. Three exactly sparse information filters for SLAM are described in detail, together with two efficient and exact methods for recovering the state vector and the covariance matrix. Proposed algorithms are extensively evaluated both in simulation and through experiments.
Mobile robots. --- Robots --- Sparse matrices. --- Robotics. --- Mappings (Mathematics) --- Maps (Mathematics) --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Automation --- Machine theory --- Spare matrix techniques --- Matrices --- Robot control --- Robotics --- Control systems.
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"Sparse modeling is a rapidly developing area at the intersection of statistical learning and signal processing, motivated by the age-old statistical problem of selecting a small number of predictive variables in high-dimensional datasets. This collection describes key approaches in sparse modeling, focusing on its applications in fields including neuroscience, computational biology, and computer vision. Sparse modeling methods can improve the interpretability of predictive models and aid efficient recovery of high-dimensional unobserved signals from a limited number of measurements. Yet despite significant advances in the field, a number of open issues remain when sparse modeling meets real-life applications. The book discusses a range of practical applications and state-of-the-art approaches for tackling the challenges presented by these applications. Topics considered include the choice of method in genomics applications; analysis of protein mass-spectrometry data; the stability of sparse models in brain imaging applications; sequential testing approaches; algorithmic aspects of sparse recovery; and learning sparse latent models"--MIT CogNet.
Sparse matrices. --- Sampling (Statistics) --- Mathematical models. --- Data reduction. --- Reduction of data --- Automatic data collection systems --- Statistics --- Models, Mathematical --- Simulation methods --- Random sampling --- Statistics of sampling --- Mathematical statistics --- Spare matrix techniques --- Matrices --- COMPUTER SCIENCE/Machine Learning & Neural Networks --- NEUROSCIENCE/General
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This volume describes the principles and history behind the use of Krylov subspace methods in science and engineering. The outcome of the analysis is very practical and indicates what can and cannot be expected from the use of Krylov subspace methods challenging some common assumptions and justifications of standard approaches.
Sparse matrices. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Spare matrix techniques --- Matrices --- Sparse matrices
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Functional analysis --- Numerical approximation theory --- Computer science --- Computer. Automation --- computers --- informatica --- wiskunde --- computerkunde --- Numerical grid generation (Numerical analysis) --- Sparse matrices. --- Numerical analysis. --- Mathematical analysis --- Spare matrix techniques --- Matrices --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Numerical solutions
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Sparse matrices --- Iterative methods (Mathematics) --- Differential equations, Partial --- Matrices éparses --- Itération (Mathématiques) --- Equations aux dérivées partielles --- Numerical solutions --- Solutions numériques --- Sparse matrices. --- Numerical solutions. --- Iterative methods (Mathematics). --- Matrices éparses --- Itération (Mathématiques) --- Equations aux dérivées partielles --- Solutions numériques --- Numerical solutions of algebraic equations --- 519.61 --- 681.3*G13 --- -Iterative methods (Mathematics) --- Spare matrix techniques --- Iteration (Mathematics) --- Numerical methods of algebra --- Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods) --- 519.61 Numerical methods of algebra --- Matrices --- Numerical analysis --- Partial differential equations --- Differential equations, Partial - Numerical solutions
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Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike.
Matrices --- Differential equations --- Iterative methods (Mathematics) --- Integral equations --- Sparse matrices --- Equations différentielles --- Itération (Mathématiques) --- Equations intégrales --- Matrices éparses --- Numerical solutions --- Data processing --- Solutions numériques --- Informatique --- data processing --- Spare matrix techniques --- Equations, Integral --- Functional equations --- Functional analysis --- Iteration (Mathematics) --- Numerical analysis --- Data processing. --- 517.91 Differential equations --- Equations différentielles --- Itération (Mathématiques) --- Equations intégrales --- Matrices éparses --- Solutions numériques --- 517.91 --- Numerical solutions&delete& --- Sparse matrices - data processing --- Differential equations - Numerical solutions - Data processing --- Iterative methods (Mathematics) - Data processing --- Integral equations - Numerical solutions - Data processing
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Harry M Markowitz received the Nobel Prize in Economics in 1990 for his pioneering work in portfolio theory. He also received the von Neumann Prize from the Institute of Management Science and the Operations Research Institute of America in 1989 for his work in portfolio theory, sparse matrices and the SIMSCRIPT computer language. While Dr Markowitz is well-known for his work on portfolio theory, his work on sparse matrices remains an essential part of linear optimization calculations. In addition, he designed and developed SIMSCRIPT - a computer programming language. SIMSCRIPT has been widely
Investment analysis. --- Portfolio management. --- Sparse matrices. --- Analyse financière --- Gestion de portefeuille --- Matrices éparses --- Portfolio management --- -Investment analysis --- -Sparse matrices --- -330.9 --- Spare matrix techniques --- Matrices --- Analysis of investments --- Analysis of securities --- Security analysis --- Investment management --- Investment analysis --- Investments --- Securities --- Electronic information resources --- E-books --- AA / International- internationaal --- 305.91 --- 339.4 --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles. --- Vermogensbeheer. Financiële analyse. Verspreiding van de beleggingsrisico's. --- Analyse financière --- Matrices éparses --- Sparse matrices --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles --- Vermogensbeheer. Financiële analyse. Verspreiding van de beleggingsrisico's
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