Uniform design applied to nonlinear multivariate calibration by ANN

Lin Zhang; Yi-Zeng Liang; Jian-Hui Jiang; Ru-Qin Yu; Kai-Tai Fang

doi:10.1016/S0003-2670(98)00256-6

Uniform design applied to nonlinear multivariate calibration by ANN

Lin Zhang
, Yi-Zeng Liang^*
, Jian-Hui Jiang
, Ru-Qin Yu
, Kai-Tai Fang

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

82 Citations (Scopus)

Abstract

In this paper, a new experimental design called uniform design (UD) has been introduced as a promising candidate for experimental design in nonlinear multivariate calibration by ANN. In its application to ANN, the UD has the following merits:
    1. it is capable of producing samples with high representativeness;
    2. it imposes no strong assumption on the model; and
    3. it allows many levels for each factor.
A comparative study has been made among UD, orthogonal array design (OAD) and central composite design (CCD). The results by UD in simulated and real-fluorescence systems are satisfactory.

Original language	English
Pages (from-to)	65-77
Number of pages	13
Journal	Analytica Chimica Acta
Volume	370
Issue number	1
DOIs	https://doi.org/10.1016/S0003-2670(98)00256-6
Publication status	Published - 31 Aug 1998
Externally published	Yes

User-Defined Keywords

Experimental design
Multilayer feed forward network
Nonlinear calibration
Nonlinear fluorescence system
Uniform design (UD)

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10.1016/S0003-2670(98)00256-6

Cite this

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title = "Uniform design applied to nonlinear multivariate calibration by ANN",

abstract = "In this paper, a new experimental design called uniform design (UD) has been introduced as a promising candidate for experimental design in nonlinear multivariate calibration by ANN. In its application to ANN, the UD has the following merits: 1. it is capable of producing samples with high representativeness; 2. it imposes no strong assumption on the model; and 3. it allows many levels for each factor. A comparative study has been made among UD, orthogonal array design (OAD) and central composite design (CCD). The results by UD in simulated and real-fluorescence systems are satisfactory.",

keywords = "Experimental design, Multilayer feed forward network, Nonlinear calibration, Nonlinear fluorescence system, Uniform design (UD)",

author = "Lin Zhang and Yi-Zeng Liang and Jian-Hui Jiang and Ru-Qin Yu and Kai-Tai Fang",

note = "Funding Information: This work was financially supported by the National Natural Science Foundation of the P.R. of China and the Fok Yin Tung Foundation of Education Commission of P.R. of China. Valuable comments from Professor Pete de B. Harrington (Ohio University) are gratefully acknowledged. Publisher copyright: {\textcopyright} 1998 Elsevier Science B.V. All rights reserved.",

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T1 - Uniform design applied to nonlinear multivariate calibration by ANN

AU - Zhang, Lin

AU - Liang, Yi-Zeng

AU - Jiang, Jian-Hui

AU - Yu, Ru-Qin

AU - Fang, Kai-Tai

N1 - Funding Information: This work was financially supported by the National Natural Science Foundation of the P.R. of China and the Fok Yin Tung Foundation of Education Commission of P.R. of China. Valuable comments from Professor Pete de B. Harrington (Ohio University) are gratefully acknowledged. Publisher copyright: © 1998 Elsevier Science B.V. All rights reserved.

PY - 1998/8/31

Y1 - 1998/8/31

N2 - In this paper, a new experimental design called uniform design (UD) has been introduced as a promising candidate for experimental design in nonlinear multivariate calibration by ANN. In its application to ANN, the UD has the following merits: 1. it is capable of producing samples with high representativeness; 2. it imposes no strong assumption on the model; and 3. it allows many levels for each factor. A comparative study has been made among UD, orthogonal array design (OAD) and central composite design (CCD). The results by UD in simulated and real-fluorescence systems are satisfactory.

AB - In this paper, a new experimental design called uniform design (UD) has been introduced as a promising candidate for experimental design in nonlinear multivariate calibration by ANN. In its application to ANN, the UD has the following merits: 1. it is capable of producing samples with high representativeness; 2. it imposes no strong assumption on the model; and 3. it allows many levels for each factor. A comparative study has been made among UD, orthogonal array design (OAD) and central composite design (CCD). The results by UD in simulated and real-fluorescence systems are satisfactory.

KW - Experimental design

KW - Multilayer feed forward network

KW - Nonlinear calibration

KW - Nonlinear fluorescence system

KW - Uniform design (UD)

UR - https://www.scopus.com/pages/publications/0031807237

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DO - 10.1016/S0003-2670(98)00256-6

M3 - Journal article

AN - SCOPUS:0031807237

SN - 0003-2670

VL - 370

SP - 65

EP - 77

JO - Analytica Chimica Acta

JF - Analytica Chimica Acta

IS - 1

ER -

Uniform design applied to nonlinear multivariate calibration by ANN

Abstract

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