TY - GEN
T1 - Discriminant Analysis via Smoothly Varying Regularization
AU - Yoshida, Hisao
AU - Kawano, Shuichi
AU - Ninomiya, Yoshiyuki
N1 - Funding Information:
Acknowledgements We are grateful to the editors and two referees for their helpful comments. SK was supported by JSPS KAKENHI Grant Numbers JP19K11854 and JP20H02227, and YN was supported by JSPS KAKENHI Grant Numbers JP16K00050.
Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2021
Y1 - 2021
N2 - The discriminant method, which uses a basis expansion in the logistic regression model and estimates it by a simply regularized likelihood, is considerably efficient especially when the discrimination boundary is complex. However, when the complexities of the boundary are different by region, the method tends to cause under-fitting or/and over-fitting at some regions. To overcome this difficulty, a smoothly varying regularization is proposed in the framework of the logistic regression. Through simulation studies based on synthetic data, the superiority of the proposed method to some existing methods is checked.
AB - The discriminant method, which uses a basis expansion in the logistic regression model and estimates it by a simply regularized likelihood, is considerably efficient especially when the discrimination boundary is complex. However, when the complexities of the boundary are different by region, the method tends to cause under-fitting or/and over-fitting at some regions. To overcome this difficulty, a smoothly varying regularization is proposed in the framework of the logistic regression. Through simulation studies based on synthetic data, the superiority of the proposed method to some existing methods is checked.
UR - http://www.scopus.com/inward/record.url?scp=85112073688&partnerID=8YFLogxK
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U2 - 10.1007/978-981-16-2765-1_37
DO - 10.1007/978-981-16-2765-1_37
M3 - Conference contribution
AN - SCOPUS:85112073688
SN - 9789811627644
T3 - Smart Innovation, Systems and Technologies
SP - 441
EP - 455
BT - Intelligent Decision Technologies - Proceedings of the 13th KES-IDT 2021 Conference
A2 - Czarnowski, Ireneusz
A2 - Howlett, Robert J.
A2 - Jain, Lakhmi C.
PB - Springer Science and Business Media Deutschland GmbH
T2 - 13th International KES Conference on Intelligent Decision Technologies, KES-IDT 2021
Y2 - 14 June 2021 through 16 June 2021
ER -