Online Computation with Untrusted Advice
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Abstract (arXiv)
We study a generalization of the advice complexity model of online computation in which the advice is provided by an untrusted source. Our objective is to quantify the impact of untrusted advice so as to design and analyze online algorithms that are robust if the advice is adversarial, and efficient is the advice is foolproof. We focus on four well-studied online problems, namely ski rental, online bidding, bin packing and list update. For ski rental and online bidding, we show how to obtain algorithms that are Pareto-optimal with respect to the competitive ratios achieved, whereas for bin packing and list update, we give online algorithms with worst-case tradeoffs in their competitiveness, depending on whether the advice is trusted or adversarial. More importantly, we demonstrate how to prove lower bounds, within this model, on the tradeoff between the number of advice bits and the competitiveness of any online algorithm.
Key facts. Cited by 42 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 May 2019.
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Citing papers per year: 2021: 8; 2022: 5; 2023: 7; 2024: 7; 2025: 10; 2026: 5.
42 papers.
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- 2021Learning-Augmented Dynamic Power Management with Multiple States via New Ski Rental Boundscited by 20
- 2021Pareto-Optimal Learning-Augmented Algorithms for Online Conversion Problemscited by 19
- 2022Chasing Convex Bodies and Functions with Black-Box Advicecited by 19
- 2023Improved Learning-Augmented Algorithms for the Multi-Option Ski Rental Problem via Best-Possible Competitive Analysiscited by 16
- 2023Sorting with Predictionscited by 14
- 2024Online bipartite matching with imperfect advicecited by 13
- 2022A Regression Approach to Learning-Augmented Online Algorithmscited by 12
- 2021Online Bin Packing with Predictionscited by 11
- 2021(Optimal) Online Bipartite Matching with Degree Informationcited by 11
- 2021Double Coverage with Machine-Learned Advicecited by 10
- 2021Robustification of Online Graph Exploration Methodscited by 10
- 2023Active causal structure learning with advicecited by 10
30 more
- 2023Improved Frequency Estimation Algorithms with and without Predictionscited by 10
- 2022Learning-Augmented Algorithms for Online TSP on the Linecited by 8
- 2024Contract Scheduling with Distributional and Multiple Advicecited by 8
- 2024Overcoming Brittleness in Pareto-Optimal Learning-Augmented Algorithmscited by 8
- 2022Leveraging Initial Hints for Free in Stochastic Linear Banditscited by 7
- 2025On Tradeoffs in Learning-Augmented Algorithmscited by 7
- 2025Algorithms with Calibrated Machine Learning Predictionscited by 7
- 2024Robust Learning-Augmented Dictionariescited by 6
- 2024Learning-Based Algorithms for Graph Searching Problemscited by 4
- 2024Learning multivariate Gaussians with imperfect advicecited by 4
- 2025Approximate Proportionality in Online Fair Divisioncited by 4
- 2021Online Primal-Dual Algorithms with Predictions for Packing Problemscited by 3
- 2025Learning-Augmented Online Bidding in Stochastic Settingscited by 3
- 2021Online Search With Best-Price and Query-Based Predictionscited by 2
- 2023Sorting and Hypergraph Orientation under Uncertainty with Predictionscited by 2
- 2023On Optimal Consistency-Robustness Trade-Off for Learning-Augmented Multi-Option Ski Rentalcited by 2
- 2024Primal-Dual Algorithms with Predictions for Online Bounded Allocation and Ad-Auctions Problemscited by 2
- 2025Learning-Augmented Online Bipartite Matching in the Random Arrival Order Modelcited by 2
- 2022Online TSP with Predictionscited by 1
- 2023Online Covering with Multiple Expertscited by 1
- 2025Optimizing Health Coverage in Ethiopia: A Learning-augmented Approach and Persistent Proportionality Under an Online Budgetcited by 1
- 2025Learning-Augmented Streaming Algorithms for Correlation Clusteringcited by 1
- 2025Product distribution learning with imperfect advicecited by 1
- 2026Learning-Augmented Online Minimization with Dual Predictionscited by 1
- 2025Decision-Theoretic Approaches for Improved Learning-Augmented Algorithmscited by 0
- 2025On multiagent online problems with predictionscited by 0
- 2026Analyzing the effect of prediction accuracy on the distributionally-robust competitive ratiocited by 0
- 2026Online Algorithms with Unreliable Guidancecited by 0
- 2026Robust and Consistent Ski Rental with Distributional Advicecited by 0
- 2026Online Allocation with Unknown Shared Supplycited by 0
- 2026Learning-Augmented Online Minimization with Dual Predictions3 Jun 2026
- 2026Online Allocation with Unknown Shared Supply8 May 2026
- 2026Robust and Consistent Ski Rental with Distributional Advice31 Mar 2026
- 2026Online Algorithms with Unreliable Guidance24 Feb 2026
- 2026Analyzing the effect of prediction accuracy on the distributionally-robust competitive ratio11 Jan 2026
- 2025Learning-Augmented Online Bipartite Matching in the Random Arrival Order Model28 Nov 2025
- 2025Product distribution learning with imperfect advice13 Nov 2025
- 2025Learning-Augmented Online Bidding in Stochastic Settings29 Oct 2025
- 2025Learning-Augmented Streaming Algorithms for Correlation Clustering12 Oct 2025
- 2025Optimizing Health Coverage in Ethiopia: A Learning-augmented Approach and Persistent Proportionality Under an Online Budget29 Aug 2025
- 2025Approximate Proportionality in Online Fair Division5 Aug 2025
- 2025On multiagent online problems with predictions15 Jul 2025
30 more
- 2025Algorithms with Calibrated Machine Learning Predictions5 Feb 2025
- 2025Decision-Theoretic Approaches for Improved Learning-Augmented Algorithms29 Jan 2025
- 2025On Tradeoffs in Learning-Augmented Algorithms22 Jan 2025
- 2024Learning multivariate Gaussians with imperfect advice19 Nov 2024
- 2024Overcoming Brittleness in Pareto-Optimal Learning-Augmented Algorithms7 Aug 2024
- 2024Online bipartite matching with imperfect advice16 May 2024
- 2024Contract Scheduling with Distributional and Multiple Advice18 Apr 2024
- 2024Learning-Based Algorithms for Graph Searching Problems27 Feb 2024
- 2024Robust Learning-Augmented Dictionaries15 Feb 2024
- 2024Primal-Dual Algorithms with Predictions for Online Bounded Allocation and Ad-Auctions Problems13 Feb 2024
- 2023Online Covering with Multiple Experts22 Dec 2023
- 2023Improved Frequency Estimation Algorithms with and without Predictions12 Dec 2023
- 2023On Optimal Consistency-Robustness Trade-Off for Learning-Augmented Multi-Option Ski Rental5 Dec 2023
- 2023Sorting with Predictions1 Nov 2023
- 2023Active causal structure learning with advice31 May 2023
- 2023Sorting and Hypergraph Orientation under Uncertainty with Predictions16 May 2023
- 2023Improved Learning-Augmented Algorithms for the Multi-Option Ski Rental Problem via Best-Possible Competitive Analysis14 Feb 2023
- 2022Online TSP with Predictions30 Jun 2022
- 2022Chasing Convex Bodies and Functions with Black-Box Advice23 Jun 2022
- 2022Learning-Augmented Algorithms for Online TSP on the Line1 Jun 2022
- 2022A Regression Approach to Learning-Augmented Online Algorithms18 May 2022
- 2022Leveraging Initial Hints for Free in Stochastic Linear Bandits8 Mar 2022
- 2021Robustification of Online Graph Exploration Methods10 Dec 2021
- 2021Online Search With Best-Price and Query-Based Predictions2 Dec 2021
- 2021Learning-Augmented Dynamic Power Management with Multiple States via New Ski Rental Bounds25 Oct 2021
- 2021(Optimal) Online Bipartite Matching with Degree Information21 Oct 2021
- 2021Online Primal-Dual Algorithms with Predictions for Packing Problems1 Oct 2021
- 2021Pareto-Optimal Learning-Augmented Algorithms for Online Conversion Problems3 Sep 2021
- 2021Double Coverage with Machine-Learned Advice2 Mar 2021
- 2021Online Bin Packing with Predictions5 Feb 2021
- 2021Learning-Augmented Dynamic Power Management with Multiple States via New Ski Rental Boundscited by 20
- 2021Pareto-Optimal Learning-Augmented Algorithms for Online Conversion Problemscited by 19
- 2022Chasing Convex Bodies and Functions with Black-Box Advicecited by 19
- 2023Improved Learning-Augmented Algorithms for the Multi-Option Ski Rental Problem via Best-Possible Competitive Analysiscited by 16
- 2023Sorting with Predictionscited by 14
- 2024Online bipartite matching with imperfect advicecited by 13
- 2022A Regression Approach to Learning-Augmented Online Algorithmscited by 12
- 2021Online Bin Packing with Predictionscited by 11
- 2021(Optimal) Online Bipartite Matching with Degree Informationcited by 11
- 2021Double Coverage with Machine-Learned Advicecited by 10
- 2021Robustification of Online Graph Exploration Methodscited by 10
- 2023Active causal structure learning with advicecited by 10
12 most cited of 42 All 42 (JSON)
- 2026Learning-Augmented Online Minimization with Dual Predictions3 Jun 2026
- 2026Online Allocation with Unknown Shared Supply8 May 2026
- 2026Robust and Consistent Ski Rental with Distributional Advice31 Mar 2026
- 2026Online Algorithms with Unreliable Guidance24 Feb 2026
- 2026Analyzing the effect of prediction accuracy on the distributionally-robust competitive ratio11 Jan 2026
- 2025Learning-Augmented Online Bipartite Matching in the Random Arrival Order Model28 Nov 2025
- 2025Product distribution learning with imperfect advice13 Nov 2025
- 2025Learning-Augmented Online Bidding in Stochastic Settings29 Oct 2025
- 2025Learning-Augmented Streaming Algorithms for Correlation Clustering12 Oct 2025
- 2025Optimizing Health Coverage in Ethiopia: A Learning-augmented Approach and Persistent Proportionality Under an Online Budget29 Aug 2025
- 2025Approximate Proportionality in Online Fair Division5 Aug 2025
- 2025On multiagent online problems with predictions15 Jul 2025
12 newest of 42 All 42 (JSON)