Online Metric Algorithms with Untrusted Predictions

Author:

Antoniadis Antonios1ORCID,Coester Christian2ORCID,Eliáš Marek3ORCID,Polak Adam4ORCID,Simon Bertrand5ORCID

Affiliation:

1. University of Twente, NB, Netherlands

2. University of Oxford, Oxford, United Kingdom

3. Bocconi University, Italy

4. Max Planck Institute for Informatics, Germany and Jagiellonian University, Kraków, Poland

5. IN2P3 Computing Center, CNRS, France

Abstract

Machine-learned predictors, although achieving very good results for inputs resembling training data, cannot possibly provide perfect predictions in all situations. Still, decision-making systems that are based on such predictors need not only benefit from good predictions, but should also achieve a decent performance when the predictions are inadequate. In this article, we propose a prediction setup for arbitrary metrical task systems (MTS) (e.g.,  caching , k -server, and convex body chasing ) and online matching on the line . We utilize results from the theory of online algorithms to show how to make the setup robust. Specifically, for caching, we present an algorithm whose performance, as a function of the prediction error, is exponentially better than what is achievable for general MTS. Finally, we present an empirical evaluation of our methods on real-world datasets, which suggests practicality.

Funder

DFG

NWO VICI

ERC

National Science Center of Poland

Swiss National Science Foundation

Bertrand Simon

Publisher

Association for Computing Machinery (ACM)

Subject

Mathematics (miscellaneous)

Reference55 articles.

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3. Antonios Antoniadis, Themis Gouleakis, Pieter Kleer, and Pavel Kolev. 2020. Secretary and online matching problems with machine learned advice. In Proceedings of the Conference on Neural Information Processing Systems (NeurIPS’20).

4. A Primal-Dual Randomized Algorithm for Weighted Paging

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