Proceedings of the 2nd International Conference on Intelligent Computing and Cognitive Informatics

The Location and Evaluation of Gross Error Based on the Partly Least Square Ridge Estimation

Authors
Cheng Zhang, Lihong Jin, Yuting Lv
Corresponding Author
Cheng Zhang
Available Online September 2015.
DOI
10.2991/icicci-15.2015.16How to use a DOI?
Keywords
Keywords-gross error; ill-posed problem; partly least square; ridge estimation; location and evaluation.
Abstract

Abstract—By using the principle of partly least square to locate and value the gross errors in the observational data, the matrix equation of the adjustment model may have ill-posed problems, which results in the locations and evaluations of the gross error unreliable. For the observational data which contain gross errors and have ill-posed problems, firstly, this paper chooses the ridge estimation to deal with the ill-posed problems, then proposes a method based on the partly least square ridge estimation to locate and value the gross errors, and the specific search steps for gross errors are given, the locations and evaluations of the gross error can be gotten by the iterative algorithm. At last ,by using the method of partly least square and the partly least square ridge estimation to locate and value the gross errors in one simulating computation, and analyzing the two methods’ results, the proposed method’s validity is verified. This method discusses the gross error approach from another perspective, it extends the existing error theory.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2nd International Conference on Intelligent Computing and Cognitive Informatics
Series
Advances in Intelligent Systems Research
Publication Date
September 2015
ISBN
10.2991/icicci-15.2015.16
ISSN
1951-6851
DOI
10.2991/icicci-15.2015.16How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Cheng Zhang
AU  - Lihong Jin
AU  - Yuting Lv
PY  - 2015/09
DA  - 2015/09
TI  - The Location and Evaluation of Gross Error Based on the Partly Least Square Ridge Estimation
BT  - Proceedings of the 2nd International Conference on Intelligent Computing and Cognitive Informatics
PB  - Atlantis Press
SP  - 72
EP  - 76
SN  - 1951-6851
UR  - https://doi.org/10.2991/icicci-15.2015.16
DO  - 10.2991/icicci-15.2015.16
ID  - Zhang2015/09
ER  -