Nedić, Angelia ; Tatarenko, Tatiana (2025)
Convergence rate of a penalty method for strongly convex problems with linear constraints.
59th IEEE Conference on Decision and Control (CDC 2020). Jeju, Südkorea (14.12.2020-18.12.2020)
doi: 10.26083/tuprints-00017869
Conference or Workshop Item, Secondary publication, Postprint
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Item Type: | Conference or Workshop Item |
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Type of entry: | Secondary publication |
Title: | Convergence rate of a penalty method for strongly convex problems with linear constraints |
Language: | English |
Date: | 20 January 2025 |
Place of Publication: | Darmstadt |
Year of primary publication: | 14 December 2020 |
Place of primary publication: | New York, NY |
Publisher: | IEEE |
Book Title: | 2020 59th IEEE Conference on Decision and Control (CDC 2020) |
Collation: | 6 Seiten |
Event Title: | 59th IEEE Conference on Decision and Control (CDC 2020) |
Event Location: | Jeju, Südkorea |
Event Dates: | 14.12.2020-18.12.2020 |
DOI: | 10.26083/tuprints-00017869 |
Corresponding Links: | |
Origin: | Secondary publication service |
Abstract: | We consider an optimization problem with strongly convex objective and linear inequalities constraints. To be able to deal with a large number of constraints we provide a penalty reformulation of the problem. As penalty functions we use a version of the one-sided Huber losses. The smoothness properties of these functions allow us to choose time-varying penalty parameters in such a way that the incremental procedure with the diminishing step-size converges √ to the exact solution with the rate O(1/√k). To the best of our knowledge, we present the first result on the convergence rate for the penalty-based gradient method, in which the penalty parameters vary with time. |
Status: | Postprint |
URN: | urn:nbn:de:tuda-tuprints-178698 |
Classification DDC: | 500 Science and mathematics > 500 Science |
Divisions: | 18 Department of Electrical Engineering and Information Technology > Institut für Automatisierungstechnik und Mechatronik 18 Department of Electrical Engineering and Information Technology > Institut für Automatisierungstechnik und Mechatronik > Control Methods and Robotics (from 01.08.2022 renamed Control Methods and Intelligent Systems) |
Date Deposited: | 20 Jan 2025 10:50 |
Last Modified: | 20 Jan 2025 10:50 |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/17869 |
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