Online State Exploration: Competitive Worst Case and Learning-Augmented Algorithms

  • Sungjin Im*
  • , Benjamin Moseley
  • , Chenyang Xu
  • , Ruilong Zhang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This paper introduces the online state exploration problem. In the problem, there is a hidden d-dimensional target state. We are given a distance function between different states in the space and a penalty function depending on the current state for each incorrect guess. The goal is to move to a vector that dominates the target state starting from the origin in the d-dimensional space while minimizing the total distance and penalty cost. This problem generalizes several natural online discrete optimization problems such as multi-dimensional knapsack cover, cow path, online bidding, and online search. For online state exploration, the paper gives results in the worst-case competitive analysis model and in the online algorithms augmented with the prediction model. The results extend and generalize many known results in the online setting.

Original languageEnglish
Title of host publicationMachine Learning and Knowledge Discovery in Databases
Subtitle of host publicationResearch Track - European Conference, ECML PKDD 2023, Proceedings
EditorsDanai Koutra, Claudia Plant, Manuel Gomez Rodriguez, Elena Baralis, Francesco Bonchi
PublisherSpringer Science and Business Media Deutschland GmbH
Pages333-348
Number of pages16
ISBN (Print)9783031434204
DOIs
StatePublished - 2023
EventEuropean Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, ECML PKDD 2023 - Turin, Italy
Duration: 18 Sep 202322 Sep 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14172 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceEuropean Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, ECML PKDD 2023
Country/TerritoryItaly
CityTurin
Period18/09/2322/09/23

Keywords

  • Competitive Ratio
  • Learning-augmented Algorithms
  • Online Algorithms
  • Online Search
  • Worst-case Analysis

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