國立虎尾科技大學 |

Efficient online learning algorithms for Total Least Square problems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Efficient online learning algorithms for Total Least Square problems/ by Xiangyu Kong, Dazheng Feng.
Author:	Kong, Xiangyu.
other author:	Feng, Dazheng.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	xxvii, 269 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Least squares. -
Online resource:	https://doi.org/10.1007/978-981-97-1765-1
ISBN:	9789819717651

Efficient online learning algorithms for Total Least Square problems
Kong, Xiangyu.

Efficient online learning algorithms for Total Least Square problems[electronic resource] /by Xiangyu Kong, Dazheng Feng. - Singapore :Springer Nature Singapore :2024. - xxvii, 269 p. :ill. (some col.), digital ;24 cm. - Engineering applications of computational methods,v. 212662-3374 ;. - Engineering applications of computational methods ;v. 15..

Introduction -- Least Square Problems -- Total Least Square Methods -- Fast Recursive TLS Algorithms -- Approximate Inverse Power Iteration TLS Algorithm -- Neural Based MCA Algorithms for Adaptive TLS -- Neural-Based SVD Algorithms -- Neural based TLS Algorithms -- TLS Algorithm Under Non-Gaussian Noises -- Performance Analysis Methods of TLS Algorithms.

This book reports the developments of the Total Least Square (TLS) algorithms for parameter estimation and adaptive filtering. Specifically, it introduces the authors' latest achievements in the past 20 years, including the recursive TLS algorithms, the approximate inverse power iteration TLS algorithm, the neural based MCA algorithm, the neural based SVD algorithm, the neural based TLS algorithm, the TLS algorithms under non-Gaussian noises, performance analysis methods of TLS algorithms, etc. In order to faster the understanding and mastering of the new methods provided in this book for readers, before presenting each new method in each chapter, a specialized section is provided to review the closely related several basis models. Throughout the book, large of procedure of new methods are provided, and all new algorithms or methods proposed by us are tested and verified by numerical simulations or actual engineering applications. Readers will find illustrative demonstration examples on a range of industrial processes to study. Readers will find out the present deficiency and recent developments of the TLS parameter estimation fields, and learn from the the authors' latest achievements or new methods around the practical industrial needs. In my opinion, this book can be assimilated by advanced undergraduates and graduate students, as well as statisticians, because of the new tools in data analysis, applied mathematics experts, because of the novel theories and techniques that we propose, engineers, above all for the applications in control, system identification, computer vision, and signal processing.

ISBN: 9789819717651

Standard No.: 10.1007/978-981-97-1765-1doiSubjects--Topical Terms:

527954
Least squares.

LC Class. No.: TA347.L4

Dewey Class. No.: 620.00151

Efficient online learning algorithms for Total Least Square problems
LDR:03155nam a2200361 a 4500 001 1134262
003 DE-He213
005 20240718102245.0
006 m d
007 cr nn 008maaau
008 241213s2024 si s 0 eng d
020 $a 9789819717651 $q (electronic bk.)
020 $a 9789819717644 $q (paper)
024 7 $a 10.1007/978-981-97-1765-1 $2 doi
035 $a 978-981-97-1765-1
040 $a GP $c GP
041 1 $a eng $h chi
050 4 $a TA347.L4
072 7 $a PBWH $2 bicssc
072 7 $a TBJ $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
072 7 $a TBJ $2 thema
082 0 4 $a 620.00151 $2 23
090 $a TA347.L4 $b K82 2024
100 1 $a Kong, Xiangyu. $3 1250567
245 1 0 $a Efficient online learning algorithms for Total Least Square problems $h [electronic resource] / $c by Xiangyu Kong, Dazheng Feng.
260 $a Singapore : $c 2024. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a xxvii, 269 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Engineering applications of computational methods, $x 2662-3374 ; $v v. 21
505 0 $a Introduction -- Least Square Problems -- Total Least Square Methods -- Fast Recursive TLS Algorithms -- Approximate Inverse Power Iteration TLS Algorithm -- Neural Based MCA Algorithms for Adaptive TLS -- Neural-Based SVD Algorithms -- Neural based TLS Algorithms -- TLS Algorithm Under Non-Gaussian Noises -- Performance Analysis Methods of TLS Algorithms.
520 $a This book reports the developments of the Total Least Square (TLS) algorithms for parameter estimation and adaptive filtering. Specifically, it introduces the authors' latest achievements in the past 20 years, including the recursive TLS algorithms, the approximate inverse power iteration TLS algorithm, the neural based MCA algorithm, the neural based SVD algorithm, the neural based TLS algorithm, the TLS algorithms under non-Gaussian noises, performance analysis methods of TLS algorithms, etc. In order to faster the understanding and mastering of the new methods provided in this book for readers, before presenting each new method in each chapter, a specialized section is provided to review the closely related several basis models. Throughout the book, large of procedure of new methods are provided, and all new algorithms or methods proposed by us are tested and verified by numerical simulations or actual engineering applications. Readers will find illustrative demonstration examples on a range of industrial processes to study. Readers will find out the present deficiency and recent developments of the TLS parameter estimation fields, and learn from the the authors' latest achievements or new methods around the practical industrial needs. In my opinion, this book can be assimilated by advanced undergraduates and graduate students, as well as statisticians, because of the new tools in data analysis, applied mathematics experts, because of the novel theories and techniques that we propose, engineers, above all for the applications in control, system identification, computer vision, and signal processing.
650 0 $a Least squares. $3 527954
650 0 $a Algorithms. $3 527865
650 0 $a Engineering mathematics. $3 562757
650 1 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
650 2 4 $a Control and Systems Theory. $3 1211358
650 2 4 $a Computational Science and Engineering. $3 670319
700 1 $a Feng, Dazheng. $3 1455649
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Engineering applications of computational methods ; $v v. 15. $3 1417349
856 4 0 $u https://doi.org/10.1007/978-981-97-1765-1
950 $a Mathematics and Statistics (SpringerNature-11649)