A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios

Masahiro Yukawa; Isao Yamada

doi:10.23919/APSIPA.2018.8659576

A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we analyze the properties of a fixed point of a certain mapping that is implicitly used in each of the regularized dual averaging (RDA) and projection-based RDA (PDA) algorithms. It turns out that, if the loss function has a nonexpansive (1-Lipschltz) gradient such as in the case of a half squared-distance function, RDA converges to a minimizer of the penalized loss function under a restrictive condition. Meanwhile, the fixed point for PDA gives a minimizer of the 'unpenalized' loss function. Some simulation studies are also presented to support the theoretical findings.

Original language	English
Title of host publication	2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	207-211
Number of pages	5
ISBN (Electronic)	9789881476852
DOIs	https://doi.org/10.23919/APSIPA.2018.8659576
Publication status	Published - 2019 Mar 4
Event	10th Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Honolulu, United States Duration: 2018 Nov 12 → 2018 Nov 15

Publication series

Name	2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings

Conference

Conference	10th Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018
Country	United States
City	Honolulu
Period	18/11/12 → 18/11/15

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ASJC Scopus subject areas

Information Systems

Cite this

Yukawa, M., & Yamada, I. (2019). A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios. In 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings (pp. 207-211). [8659576] (2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/APSIPA.2018.8659576

A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios. / Yukawa, Masahiro; Yamada, Isao.

2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 207-211 8659576 (2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yukawa, M & Yamada, I 2019, A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios. in 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings., 8659576, 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 207-211, 10th Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018, Honolulu, United States, 18/11/12. https://doi.org/10.23919/APSIPA.2018.8659576

Yukawa M, Yamada I. A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios. In 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 207-211. 8659576. (2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings). https://doi.org/10.23919/APSIPA.2018.8659576

Yukawa, Masahiro ; Yamada, Isao. / A Fixed-Point Analysis of Regularized Dual Averaging under Static Scenarios. 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 207-211 (2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2018 - Proceedings).

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Access to Document

10.23919/APSIPA.2018.8659576