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Title: Shearlet regularization and dimensionality reduction for the temperature distribution sensing
Author: Lei, J.1; Liu, W. Y.1; Liu, Q. B.2; Wang, X. Y.2; Liu, S.1
Source: MEASUREMENT
Issued Date: 2016-03-01
Volume: 82, Pages:176-187
Keyword: Temperature distribution sensing ; Low-dimensional representation ; Nonnegative matrix factorization ; Reconstruction method
DOI: 10.1016/j.measurement.2015.12.043
DOC Type: Article
English Abstract: In this paper, a new dimensionality reduction based temperature distribution sensing (TDS) method is proposed to reconstruct the temperature distribution via the limited number of the scattered temperature measurement data. The projective nonnegative matrix factorization (PNMF) method is developed to exact the basis vectors, and the augmented Lagrangian multipliers (ALM) method is proposed to solve the proposed PNMF model. A dimensionality reduction model is obtained via projecting the original temperature distribution onto the spaces spanned by a set of basis. An objective functional that considers the inaccurate properties of the reconstruction model and the measurement data, the Shearlet regularization and the total variation (TV) method is proposed to convert the TDS task into an optimization problem, where the temperature distribution is indirectly reconstructed via solving a low-dimensional vector. An iteration scheme is developed to solve the objective functional. Numerical simulation results validate the feasibility of the proposed reconstruction algorithm. (C) 2016 Elsevier Ltd. All rights reserved.
WOS Headings: Science & Technology ; Technology
WOS Subject: Engineering, Multidisciplinary ; Instruments & Instrumentation
WOS Subject Extended: Engineering ; Instruments & Instrumentation
WOS Keyword Plus: NONNEGATIVE MATRIX FACTORIZATION ; PRINCIPAL COMPONENT ANALYSIS ; PROPER ORTHOGONAL DECOMPOSITION ; SIMPLEX-METHOD ; RECONSTRUCTION ; GAPPY ; ALGORITHMS ; REPRESENTATION ; MINIMIZATION ; COMPLETION
Indexed Type: SCI
Funder: National Natural Science Foundation of China(51206048 ; Fundamental Research Funds for the Central Universities(13MS11) ; 51276059)
Language: 英语
WOS ID: WOS:000369235600018
Citation statistics:
Content Type: 期刊论文
URI: http://ir.etp.ac.cn/handle/311046/112352
Appears in Collections:中国科学院工程热物理所(论文库)_期刊论文(SCI)

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description.institution: 1.North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R China
2.Chinese Acad Sci, Inst Engn Thermophys, Beijing 100190, Peoples R China
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