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Online Metric Algorithms with Untrusted Predictions

Antonios Antoniadis, Christian Coester, Marek Eliáš, Adam Polak, Bertrand Simon

2023ACM Transactions on Algorithms34 citationsDOIOpen Access PDF

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.

Topics & Concepts

Computer scienceMetric (unit)Matching (statistics)Task (project management)Function (biology)Online algorithmRegular polygonAlgorithmMachine learningPerformance metricArtificial intelligenceData miningMathematicsEconomicsGeometryBiologyEvolutionary biologyStatisticsOperations managementManagementOptimization and Search ProblemsAdvanced Bandit Algorithms ResearchStochastic Gradient Optimization Techniques