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We investigate the adversarial robustness of streaming algorithms. In this context, an algorithm is considered robust if its performance guarantees hold even if the stream is chosen adaptively by an adversary that observes the outputs of…

Data Structures and Algorithms · Computer Science 2022-07-04 Omri Ben-Eliezer , Rajesh Jayaram , David P. Woodruff , Eylon Yogev

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…

Data Structures and Algorithms · Computer Science 2023-01-24 Menachem Sadigurschi , Moshe Shechner , Uri Stemmer

A streaming algorithm is said to be adversarially robust if its accuracy guarantees are maintained even when the data stream is chosen maliciously, by an adaptive adversary. We establish a connection between adversarial robustness of…

Data Structures and Algorithms · Computer Science 2020-04-14 Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Yossi Matias , Uri Stemmer

Many problems on data streams have been studied at two extremes of difficulty: either allowing randomized algorithms, in the static setting (where they should err with bounded probability on the worst case stream); or when only…

Data Structures and Algorithms · Computer Science 2022-11-11 Manuel Stoeckl

Robust streaming, the study of streaming algorithms that provably work when the stream is generated by an adaptive adversary, has seen tremendous progress in recent years. However, fundamental barriers remain: the best known algorithm for…

Data Structures and Algorithms · Computer Science 2025-11-04 Omri Ben-Eliezer , Krzysztof Onak , Sandeep Silwal

Adversarially robust streaming algorithms are required to process a stream of elements and produce correct outputs, even when each stream element can be chosen as a function of earlier algorithm outputs. As with classic streaming…

Data Structures and Algorithms · Computer Science 2024-07-04 Amit Chakrabarti , Manuel Stoeckl

Classical streaming algorithms operate under the (not always reasonable) assumption that the input stream is fixed in advance. Recently, there is a growing interest in designing robust streaming algorithms that provide provable guarantees…

Data Structures and Algorithms · Computer Science 2022-09-27 Idan Attias , Edith Cohen , Moshe Shechner , Uri Stemmer

This paper studies the adversarial-robustness of importance-sampling (aka sensitivity sampling); a useful algorithmic technique that samples elements with probabilities proportional to some measure of their importance. A streaming or online…

Data Structures and Algorithms · Computer Science 2025-12-11 Yotam Kenneth-Mordoch , Shay Sapir

A streaming algorithm is adversarially robust if it is guaranteed to perform correctly even in the presence of an adaptive adversary. Recently, several sophisticated frameworks for robustification of classical streaming algorithms have been…

Data Structures and Algorithms · Computer Science 2021-09-09 Omri Ben-Eliezer , Talya Eden , Krzysztof Onak

In this paper, we introduce adversarially robust streaming algorithms for central machine learning and algorithmic tasks, such as regression and clustering, as well as their more general counterparts, subspace embedding, low-rank…

Machine Learning · Computer Science 2021-10-27 Vladimir Braverman , Avinatan Hassidim , Yossi Matias , Mariano Schain , Sandeep Silwal , Samson Zhou

Recently, the question of adversarially robust streaming, where the stream is allowed to depend on the randomness of the streaming algorithm, has gained a lot of attention. In this work, we consider a strong white-box adversarial model…

Data Structures and Algorithms · Computer Science 2024-06-12 Ying Feng , Aayush Jain , David P. Woodruff

In the adversarially robust streaming model, a stream of elements is presented to an algorithm and is allowed to depend on the output of the algorithm at earlier times during the stream. In the classic insertion-only model of data streams,…

Data Structures and Algorithms · Computer Science 2022-10-24 David P. Woodruff , Samson Zhou

In this paper, we study streaming and online algorithms in the context of randomness in the input. For several problems, a random order of the input sequence---as opposed to the worst-case order---appears to be a necessary evil in order to…

Data Structures and Algorithms · Computer Science 2020-04-28 Paritosh Garg , Sagar Kale , Lars Rohwedder , Ola Svensson

In large-scale applications including medical imaging, collocation differential equation solvers, and estimation with differential privacy, the underlying linear inverse problem can be reformulated as a streaming problem. In theory, the…

Numerical Analysis · Mathematics 2024-01-31 Nathaniel Pritchard , Vivak Patel

A dynamic algorithm against an adaptive adversary is required to be correct when the adversary chooses the next update after seeing the previous outputs of the algorithm. We obtain faster dynamic algorithms against an adaptive adversary and…

Data Structures and Algorithms · Computer Science 2021-11-09 Amos Beimel , Haim Kaplan , Yishay Mansour , Kobbi Nissim , Thatchaphol Saranurak , Uri Stemmer

We study streaming algorithms in the white-box adversarial model, where the stream is chosen adaptively by an adversary who observes the entire internal state of the algorithm at each time step. We show that nontrivial algorithms are still…

Data Structures and Algorithms · Computer Science 2022-07-26 Miklos Ajtai , Vladimir Braverman , T. S. Jayram , Sandeep Silwal , Alec Sun , David P. Woodruff , Samson Zhou

We study streaming algorithms in the white-box adversarial stream model, where the internal state of the streaming algorithm is revealed to an adversary who adaptively generates the stream updates, but the algorithm obtains fresh randomness…

Data Structures and Algorithms · Computer Science 2023-07-10 Ying Feng , David P. Woodruff

We study algorithms in the resettable streaming model, where the value of each key can either be increased or reset to zero. The model is suitable for applications such as active resource monitoring with support for deletions and machine…

Data Structures and Algorithms · Computer Science 2026-01-30 Edith Cohen , Elena Gribelyuk , Jelani Nelson , Uri Stemmer

We revisit the concept of "adversary" in online learning, motivated by solving robust optimization and adversarial training using online learning methods. While one of the classical setups in online learning deals with the "adversarial"…

Machine Learning · Computer Science 2021-01-28 Sebastian Pokutta , Huan Xu

We study adversarially robust algorithms for insertion-deletion (turnstile) streams, where future updates may depend on past algorithm outputs. While robust algorithms exist for insertion-only streams with only a polylogarithmic overhead in…

Data Structures and Algorithms · Computer Science 2026-04-08 Elena Gribelyuk , Honghao Lin , David P. Woodruff , Huacheng Yu , Samson Zhou
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