Robust optimization in the presence of uncertainty: A generic approach


Date

2018-06

Publication Type

Journal Article

ETH Bibliography

yes

Citations

Altmetric

Data

Abstract

We propose a novel approach for optimization under uncertainty. Our approach does not assume any particular noise model behind the measurements, and only requires two typical instances. We first propose a measure of similarity of instances (with respect to a given objective). Based on this measure, we then choose a solution randomly among all solutions that are near-optimum for both instances. The exact notion of near-optimum is intertwined with the proposed similarity measure. Our similarity measure also allows us to derive formal statements about the expected quality of the computed solution. Furthermore, we apply our approach to various optimization problems.

Publication status

published

Editor

Book title

Volume

94

Pages / Article No.

135 - 166

Publisher

Elsevier

Event

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Optimization; Uncertainty; Noise; Robustness; Instance similarity

Organisational unit

03340 - Widmayer, Peter (emeritus) / Widmayer, Peter (emeritus) check_circle
02803 - Collegium Helveticum / Collegium Helveticum check_circle
03659 - Buhmann, Joachim M. (emeritus) / Buhmann, Joachim M. (emeritus) check_circle

Notes

Funding

- Context Sensitive Information: Robust Optimization by Information Theoretic Regularization ()

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