Relaxed Models for Adversarial Streaming: The Bounded Interruptions Model and the Advice Model

Menachem Sadigurschi*, Moshe Shechner*, Uri Stemmer*

*Corresponding author for this work

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

Abstract

Streaming algorithms are typically analyzed in the oblivious setting, where we assume that the input stream is fixed in advance. Recently, there is a growing interest in designing adversarially robust streaming algorithms that must maintain utility even when the input stream is chosen adaptively and adversarially as the execution progresses. While several fascinating results are known for the adversarial setting, in general, it comes at a very high cost in terms of the required space. Motivated by this, in this work we set out to explore intermediate models that allow us to interpolate between the oblivious and the adversarial models. Specifically, we put forward the following two models: The bounded interruptions model, in which we assume that the adversary is only partially adaptive. The advice model, in which the streaming algorithm may occasionally ask for one bit of advice. We present both positive and negative results for each of these two models. In particular, we present generic reductions from each of these models to the oblivious model. This allows us to design robust algorithms with significantly improved space complexity compared to what is known in the plain adversarial model.

Original languageEnglish
Title of host publication31st Annual European Symposium on Algorithms, ESA 2023
EditorsInge Li Gortz, Martin Farach-Colton, Simon J. Puglisi, Grzegorz Herman
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959772952
DOIs
StatePublished - Sep 2023
Event31st Annual European Symposium on Algorithms, ESA 2023 - Amsterdam, Netherlands
Duration: 4 Sep 20236 Sep 2023

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume274
ISSN (Print)1868-8969

Conference

Conference31st Annual European Symposium on Algorithms, ESA 2023
Country/TerritoryNetherlands
CityAmsterdam
Period4/09/236/09/23

Funding

FundersFunder number
Blavatnik Family Foundation
Israel Science Foundation1871/19

    Keywords

    • adversarial streaming
    • streaming

    Fingerprint

    Dive into the research topics of 'Relaxed Models for Adversarial Streaming: The Bounded Interruptions Model and the Advice Model'. Together they form a unique fingerprint.

    Cite this