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We propose the first adversarially robust algorithm for monotone submodular maximization under single and multiple knapsack constraints with scalable implementations in distributed and streaming settings. For a single knapsack constraint,…

Data Structures and Algorithms · Computer Science 2019-05-08 Dmitrii Avdiukhin , Slobodan Mitrović , Grigory Yaroslavtsev , Samson Zhou

We study fundamental directed graph (digraph) problems in the streaming model. An initial investigation by Chakrabarti, Ghosh, McGregor, and Vorotnikova [SODA'20] on streaming digraphs showed that while most of these problems are provably…

Data Structures and Algorithms · Computer Science 2024-05-10 Prantar Ghosh , Sahil Kuchlous

One of the significant problems of streaming data classification is the occurrence of concept drift, consisting of the change of probabilistic characteristics of the classification task. This phenomenon destabilizes the performance of the…

Machine Learning · Computer Science 2021-12-21 Michał Woźniak , Paweł Zyblewski , Paweł Ksieniewicz

We investigate deterministic and randomized streaming algorithms for word problems in finitely generated groups and semigroups. For this we introduce the notion of a distinguisher: a randomized streaming algorithm that processes two input…

Group Theory · Mathematics 2026-04-23 Markus Lohrey , Lukas Lück , Alexander Thumm , Julio Xochitemol

Compression algorithms and streaming algorithms are both powerful tools for dealing with massive data sets, but many of the best compression algorithms -- e.g., those based on the Burrows-Wheeler Transform -- at first seem incompatible with…

Information Theory · Computer Science 2008-04-19 Travis Gagie

Real-time processing of data streams emanating from sensors is becoming a common task in Internet of Things scenarios. The key implementation goal consists in efficiently handling massive incoming data streams and supporting advanced data…

Databases · Computer Science 2017-05-17 Xiangnan Ren , Olivier Curé

We consider the \textsf{Unit Interval Selection} problem in the one-pass random order streaming model. Here, an algorithm is presented a sequence of $n$ unit-length intervals on the line that arrive in uniform random order, and the…

Data Structures and Algorithms · Computer Science 2026-03-11 Cezar-Mihail Alexandru , Adithya Diddapur , Magnús M. Halldórsson , Christian Konrad , Kheeran K. Naidu

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

We consider streaming over a peer-to-peer network with homogeneous nodes in which a single source broadcasts a data stream to all the users in the system. Peers are allowed to enter or leave the system (adversarially) arbitrarily. Previous…

Networking and Internet Architecture · Computer Science 2014-07-09 Shaileshh Bojja Venkatakrishnan , Pramod Viswanath

Many classical algorithms are known for computing the convex hull of a set of $n$ point in $\mathbb{R}^2$ using $O(n)$ space. For large point sets, whose size exceeds the size of the working space, these algorithms cannot be directly used.…

Computational Geometry · Computer Science 2018-10-02 Martin Farach-Colton , Meng Li , Meng-Tsung Tsai

Streaming tensor factorization is a powerful tool for processing high-volume and multi-way temporal data in Internet networks, recommender systems and image/video data analysis. In many applications the full tensor is not known, but instead…

Signal Processing · Electrical Eng. & Systems 2018-09-06 Cole Hawkins , Zheng Zhang

Given a stream of heterogeneous graphs containing different types of nodes and edges, how can we spot anomalous ones in real-time while consuming bounded memory? This problem is motivated by and generalizes from its application in security…

Social and Information Networks · Computer Science 2016-02-23 Emaad A. Manzoor , Sadegh Momeni , Venkat N. Venkatakrishnan , Leman Akoglu

We revisit one of the classic problems in the data stream literature, namely, that of estimating the frequency moments $F_p$ for $0 < p < 2$ of an underlying $n$-dimensional vector presented as a sequence of additive updates in a stream. It…

Data Structures and Algorithms · Computer Science 2018-03-07 Vladimir Braverman , Emanuele Viola , David Woodruff , Lin F. Yang

We present an algorithm for the maximum matching problem in dynamic (insertion-deletions) streams with *asymptotically optimal* space complexity: for any $n$-vertex graph, our algorithm with high probability outputs an $\alpha$-approximate…

Data Structures and Algorithms · Computer Science 2022-02-01 Sepehr Assadi , Vihan Shah

We consider streaming algorithms for approximating a product of input probabilities up to multiplicative error of $1-\epsilon$. It is shown that every randomized streaming algorithm for this problem needs space $\Omega(\log n + \log b -…

Data Structures and Algorithms · Computer Science 2025-10-02 Markus Lohrey , Leon Rische , Louisa Seelbach Benkner , Julio Xochitemol

We introduce a streaming framework for analyzing stochastic approximation/optimization problems. This streaming framework is analogous to solving optimization problems using time-varying mini-batches that arrive sequentially. We provide…

Machine Learning · Computer Science 2023-04-25 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger

We show how to utilize machine learning approaches to improve sliding window algorithms for approximate frequency estimation problems, under the ``algorithms with predictions'' framework. In this dynamic environment, previous…

Data Structures and Algorithms · Computer Science 2024-09-19 Rana Shahout , Ibrahim Sabek , Michael Mitzenmacher

Histograms, i.e., piece-wise constant approximations, are a popular tool used to represent data distributions. Traditionally, the difference between the histogram and the underlying distribution (i.e., the approximation error) is measured…

Data Structures and Algorithms · Computer Science 2022-07-19 Justin Y. Chen , Piotr Indyk , Tal Wagner

A technique introduced by Indyk and Woodruff [STOC 2005] has inspired several recent advances in data-stream algorithms. We show that a number of these results follow easily from the application of a single probabilistic method called…

Data Structures and Algorithms · Computer Science 2011-04-26 Alexandr Andoni , Robert Krauthgamer , Krzysztof Onak

Motivated by the trend to outsource work to commercial cloud computing services, we consider a variation of the streaming paradigm where a streaming algorithm can be assisted by a powerful helper that can provide annotations to the data…

Data Structures and Algorithms · Computer Science 2015-03-14 Graham Cormode , Michael Mitzenmacher , Justin Thaler