The Minimization of Discontinuous Functions: Mollifier Subgradients

Ermoliev, Y.M., Norkin, V.I., & Wets, R.J.-B. (1992). The Minimization of Discontinuous Functions: Mollifier Subgradients. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-92-073

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To minimize discontinuous functions that arise in the context of systems with jumps, for example, we propose a new approach based on approximation via averaged functions (obtained by convolution with mollifiers). The properties of averaged functions are studied, after it is shown that they can be used in an approximation scheme consistent with minimization. A new notion of subgradient is introduced based on approximations generated by mollifiers, and is exploited in the design of minimization procedures.

Item Type: Monograph (IIASA Working Paper)
Research Programs: Adaption and Optimization (ADO)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:01
Last Modified: 27 Aug 2021 17:14

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