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Discrete Convexity and Dynamic Robust Optimization Iancu, Dan
Description
We discuss necessary and sufficient conditions for the optimality of specific classes of policies in dynamic robust optimization. We then focus on the specific case of affine policies, and show how our conditions can be used to recover and generalize several existing results in the literature. Our treatment draws interesting connections with the theory of discrete convexity (L-natural / M-natural convexity and multimodularity) and global concave envelopes, which may be of independent interest. Time permitting, we also discuss some related applications of the results in the context of a learning and stopping problem. This is joint work with Yehua Wei.
Item Metadata
Title |
Discrete Convexity and Dynamic Robust Optimization
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-03-06T17:36
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Description |
We discuss necessary and sufficient conditions for the optimality of specific classes of policies in dynamic robust optimization. We then focus on the specific case of affine policies, and show how our conditions can be used to recover and generalize several existing results in the literature. Our treatment draws interesting connections with the theory of discrete convexity (L-natural / M-natural convexity and multimodularity) and global concave envelopes, which may be of independent interest. Time permitting, we also discuss some related applications of the results in the context of a learning and stopping problem.
This is joint work with Yehua Wei.
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Extent |
35 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Stanford University
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Series | |
Date Available |
2018-09-03
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0371894
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International