Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response

Frederick Kin Hing Phoa; Hsiu-Wen Chen

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Paper

Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response

Topics: Classification; Model Selection; Regression; Sparsity

In Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods ICPRAM - Volume 1, 127-131, 2013 , Barcelona, Spain

Authors: Frederick Kin Hing Phoa and Hsiu-Wen Chen

Affiliation: Academia Sinica, Taiwan

Keyword(s): Multiple Response Optimization, Desirability Function, Bernoulli-distributed Responses, Logistic Regression.

Related Ontology Subjects/Areas/Topics: Classification ; Model Selection ; Pattern Recognition ; Regression ; Sparsity ; Theory and Methods

Abstract: The multiple response optimization (MRO) problem is commonly found in industry and many other scientific areas. During the optimization stage, the desirability function method, first proposed by Harrington (1965), has been widely used for optimizing multiple responses simultaneously. However, the formulation of traditional desirability functions breaks down when the responses are Bernoulli-distributed. This paper proposes a simple solution to avoid this breakdown. Instead of the original binary responses, their probabilities of defined outcomes are considered in the logistic regression models and they are transformed into the desirability functions. An example is used for demonstration.

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Paper citation in several formats:

Kin Hing Phoa, F. and Chen, H. (2013). Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response. In Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM; ISBN 978-989-8565-41-9; ISSN 2184-4313, SciTePress, pages 127-131. DOI: 10.5220/0004216701270131

@conference{icpram13,
author={Frederick {Kin Hing Phoa}. and Hsiu{-}Wen Chen.},
title={Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response},
booktitle={Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM},
year={2013},
pages={127-131},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004216701270131},
isbn={978-989-8565-41-9},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM
TI - Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response
SN - 978-989-8565-41-9
IS - 2184-4313
AU - Kin Hing Phoa, F.
AU - Chen, H.
PY - 2013
SP - 127
EP - 131
DO - 10.5220/0004216701270131
PB - SciTePress