Adaptively Robust Resettable Streaming

Edith Cohen, Elena Gribelyuk, Jelani Nelson, Uri Stemmer
Proceedings of the 43rd International Conference on Machine Learning, PMLR 306:21046-21087, 2026.

Abstract

We study algorithms in the resettable streaming model, where the value of each key can either be increased or reset to zero. This model is suitable for applications such as active resource monitoring with support for deletions and machine unlearning. We show that all existing sketches for this model are vulnerable to adaptive adversarial attacks that apply even when the sketch size is polynomial in the length of the stream. To overcome these vulnerabilities, we present the first adaptively robust sketches for resettable streams that require only polylogarithmic space complexity in the stream length. Our framework supports (sub) linear statistics including $L_p$ moments for $p\in[0,1]$ (in particular, Cardinality and Sum) and Bernstein statistics. We bypass strong impossibility results known for linear and composable sketches by designing dedicated single-stream sketches robustified via Differential Privacy. Unlike standard robustification techniques, which provide limited benefits in this setting and still require polynomial space in the stream length, we leverage the Binary Tree Mechanism for continual observation to protect the sketch’s internal randomness. This enables accurate prefix-max error guarantees with polylogarithmic space.

Cite this Paper

BibTeX
@InProceedings{pmlr-v306-cohen26a, title = {Adaptively Robust Resettable Streaming}, author = {Cohen, Edith and Gribelyuk, Elena and Nelson, Jelani and Stemmer, Uri}, booktitle = {Proceedings of the 43rd International Conference on Machine Learning}, pages = {21046--21087}, year = {2026}, editor = {Zhang, Tong and Dudik, Miroslav and Jaggi, Martin and Agarwal, Alekh and Li, Sharon and Schuurmans, Dale and Zhu, Jerry and Berkenkamp, Felix and Dong, Hanze and Bietti, Alberto}, volume = {306}, series = {Proceedings of Machine Learning Research}, month = {06--11 Jul}, publisher = {PMLR}, pdf = {https://raw.githubusercontent.com/mlresearch/v306/main/assets/cohen26a/cohen26a.pdf}, url = {https://proceedings.mlr.press/v306/cohen26a.html}, abstract = {We study algorithms in the resettable streaming model, where the value of each key can either be increased or reset to zero. This model is suitable for applications such as active resource monitoring with support for deletions and machine unlearning. We show that all existing sketches for this model are vulnerable to adaptive adversarial attacks that apply even when the sketch size is polynomial in the length of the stream. To overcome these vulnerabilities, we present the first adaptively robust sketches for resettable streams that require only polylogarithmic space complexity in the stream length. Our framework supports (sub) linear statistics including $L_p$ moments for $p\in[0,1]$ (in particular, Cardinality and Sum) and Bernstein statistics. We bypass strong impossibility results known for linear and composable sketches by designing dedicated single-stream sketches robustified via Differential Privacy. Unlike standard robustification techniques, which provide limited benefits in this setting and still require polynomial space in the stream length, we leverage the Binary Tree Mechanism for continual observation to protect the sketch’s internal randomness. This enables accurate prefix-max error guarantees with polylogarithmic space.} }
Endnote
%0 Conference Paper %T Adaptively Robust Resettable Streaming %A Edith Cohen %A Elena Gribelyuk %A Jelani Nelson %A Uri Stemmer %B Proceedings of the 43rd International Conference on Machine Learning %C Proceedings of Machine Learning Research %D 2026 %E Tong Zhang %E Miroslav Dudik %E Martin Jaggi %E Alekh Agarwal %E Sharon Li %E Dale Schuurmans %E Jerry Zhu %E Felix Berkenkamp %E Hanze Dong %E Alberto Bietti %F pmlr-v306-cohen26a %I PMLR %P 21046--21087 %U https://proceedings.mlr.press/v306/cohen26a.html %V 306 %X We study algorithms in the resettable streaming model, where the value of each key can either be increased or reset to zero. This model is suitable for applications such as active resource monitoring with support for deletions and machine unlearning. We show that all existing sketches for this model are vulnerable to adaptive adversarial attacks that apply even when the sketch size is polynomial in the length of the stream. To overcome these vulnerabilities, we present the first adaptively robust sketches for resettable streams that require only polylogarithmic space complexity in the stream length. Our framework supports (sub) linear statistics including $L_p$ moments for $p\in[0,1]$ (in particular, Cardinality and Sum) and Bernstein statistics. We bypass strong impossibility results known for linear and composable sketches by designing dedicated single-stream sketches robustified via Differential Privacy. Unlike standard robustification techniques, which provide limited benefits in this setting and still require polynomial space in the stream length, we leverage the Binary Tree Mechanism for continual observation to protect the sketch’s internal randomness. This enables accurate prefix-max error guarantees with polylogarithmic space.
APA
Cohen, E., Gribelyuk, E., Nelson, J. & Stemmer, U.. (2026). Adaptively Robust Resettable Streaming. Proceedings of the 43rd International Conference on Machine Learning, in Proceedings of Machine Learning Research 306:21046-21087 Available from https://proceedings.mlr.press/v306/cohen26a.html.

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