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Online Ordinal Optimization under Model Misspecification

Authors: Dohyun Ahn; Dongwook Shin; Assaf Zeevi;

Online Ordinal Optimization under Model Misspecification

Abstract

We consider an ordinal optimization problem, where a decision maker learns the statistical characteristics of a number of systems using sequential sampling in order to ultimately determine the "best" one (with high probability). In so doing, the decision maker postulates a parametric model which may not precisely represent the true underlying system structure. We show that this misspecification, if not managed properly, can lead to suboptimal performance in the ordinal optimization problem due to a phenomenon identified as sample-selection endogeneity. To address that, we propose online sampling strategies that judiciously learn the unknown model parameters on the fly, and at the same time eliminate the adverse effects of misspecification as the number of samples grows large. The proposed sampling strategies are oblivious to the model misspecification; are shown to have strong performance guarantees regardless of that knowledge; and are computationally tractable.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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