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Adaptive filters play an important role in the fields related to digital signal processing and communication, such as system identification, noise cancellation, channel equalization, and beamforming. In practical applications, the computational complexity of an adaptive filter is an important consideration. The Least Mean Square (LMS) algorithm is widely used because of its low computational complexity (O(N)) and simplicity in implementation. The least squares algorithms, such as Recursive Least Squares (RLS), Conjugate Gradient (CG), and Euclidean Direction Search (EDS), can converge faster and have lower steadystate mean square error (MSE) than LMS. However, their high computational complexity (O(N2)) makes them unsuitable for many realtime applications. A wellknown approach to controlling computational complexity is applying partial update (PU) method to adaptive filters. A partial update method can reduce the adaptive algorithm complexity by updating part of the weight vector instead of the entire vector or by updating part of the time. In the literature, there are only a few analyses of these partial update adaptive filter algorithms. Most analyses are based on partial update LMS and its variants. Only a few papers have addressed partial update RLS and Affine Projection (AP). Therefore, analyses for PU leastsquares adaptive filter algorithms are necessary and meaningful.
Adaptive filters  Least squares.  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Mathematics  Probabilities  Triangulation  Filters, Adaptive  Electric filters  Design and construction.
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Mathematical statistics  Least squares.  Error analysis (Mathematics)  Least squares  #TELE:SISTA  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematics  Probabilities  Triangulation  Errors, Theory of  Instrumental variables (Statistics)  Numerical analysis  Statistics
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Ten chapters discuss key aspects of advanced PLS analysis and its practical applications, covering new guidelines and improvements in the use of PLSPM as well as various individual topics.
Least squares.  Structural equation modeling.  SEM (Structural equation modeling)  Multivariate analysis  Factor analysis  Regression analysis  Path analysis (Statistics)  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Mathematics  Probabilities  Triangulation  Hospitality industry  Research  Ebooks  Service industries
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Filtering and system identification are powerful techniques for building models of complex systems. This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models derived using these techniques. Emphasis is on the least squares approach as applied to the linear statespace model, and problems of increasing complexity are analyzed and solved within this framework, starting with the Kalman filter and concluding with the estimation of a full model, noise statistics and state estimator directly from the data. Key background topics, including linear matrix algebra and linear system theory, are covered, followed by different estimation and identification methods in the statespace model. With endofchapter exercises, MATLAB simulations and numerous illustrations, this book will appeal to graduate students and researchers in electrical, mechanical and aerospace engineering. It is also useful for practitioners. Additional resources for this title, including solutions for instructors, are available online at www.cambridge.org/9780521875127.
Filters (Mathematics)  System identification.  Filtres (Mathématiques)  Systèmes, Identification des  Mathematics  Identification, System  System analysis  Least squares.  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Probabilities  Triangulation
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Error analysis (Mathematics)  Least squares  Academic collection  #TELE:SISTA  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Mathematics  Probabilities  Triangulation  Errors, Theory of  Instrumental variables (Statistics)  Numerical analysis  Statistics  Congresses
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Running Regressions introduces firstyear social science undergraduates, particularly those studying economics and business, to the practical aspects of simple regression analysis, without adopting an esoteric, mathematical approach. It shows that statistical analysis can be simultaneously straightforward, useful and interesting, and can deal with topical, realworld issues. Each chapter introduces an economic theory or idea by relating it to an issue of topical interest, and explains how data and econometric analysis can be used to test it. The book can be used as a selfstanding text or to supplement conventional econometric texts. It is also ideally suited as a guide to essays and project work.
Econometrics.  Least squares.  Regression analysis.  Analysis, Regression  Linear regression  Regression modeling  Multivariate analysis  Structural equation modeling  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Mathematics  Probabilities  Triangulation  Economics, Mathematical  Statistics
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Mathematical statistics  Least squares  Linear models (Statistics)  Proof theory  Mathematical statistics.  Least squares.  Proof theory.  Logic, Symbolic and mathematical  Models, Linear (Statistics)  Mathematical models  Statistics  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematics  Probabilities  Triangulation  Statistical inference  Statistics, Mathematical  Sampling (Statistics)  Statistical methods
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Mathematical statistics  Échantillonnage  Sampling  519.235  Least squares  Regression analysis  #TELE:SISTA  Analysis, Regression  Linear regression  Regression modeling  Multivariate analysis  Structural equation modeling  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematics  Probabilities  Triangulation  Statistics of dependent variables. Contingency tables  Least squares.  Regression analysis.  519.235 Statistics of dependent variables. Contingency tables
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Operational research. Game theory  Moindres carrés  Least squares  Academic collection  #TELE:SISTA  519.6  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematical statistics  Mathematics  Probabilities  Triangulation  Computational mathematics. Numerical analysis. Computer programming  Least squares.  519.6 Computational mathematics. Numerical analysis. Computer programming  Moindres carrés
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Numerical analysis  Mathematical statistics  Equations, Simultaneous  Least squares  Moindres carrés  Numerical solutions  Least squares.  Numerical solutions.  519.65  Least squares  #TELE:SISTA  Method of least squares  Squares, Least  Curve fitting  Geodesy  Mathematics  Probabilities  Triangulation  Simultaneous equations  Approximation. Interpolation  519.65 Approximation. Interpolation  Moindres carrés  Numerical calculations  Calculs numériques  Moindres carrés.  Calculs numériques.  Analyse numérique.  Algèbre linéaire.  Algebras, Linear
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