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The problem of estimating the pth moment F_p (p nonnegative and real) in data streams is as follows. There is a vector x which starts at 0, and many updates of the form x_i <-- x_i + v come sequentially in a stream. The algorithm also…

Data Structures and Algorithms · Computer Science 2009-04-09 Daniel M. Kane , Jelani Nelson , David P. Woodruff

In this paper, we present a new algorithm for maintaining linear sketches in turnstile streams with faster update time. As an application, we show that $\log n$ \texttt{Count} sketches or \texttt{CountMin} sketches with a constant number of…

Data Structures and Algorithms · Computer Science 2019-11-05 Josh Alman , Huacheng Yu

Mining frequent itemsets through static Databases has been extensively studied and used and is always considered a highly challenging task. For this reason it is interesting to extend it to data streams field. In the streaming case, the…

Databases · Computer Science 2012-06-06 Manel Zarrouk , Med Salah Gouider

The quadratic computational complexity of self-attention remains a fundamental bottleneck for scaling Large Language Models (LLMs) to long contexts, particularly during the pre-filling phase. In this paper, we rethink the causal attention…

Machine Learning · Computer Science 2026-03-09 Lin Niu , Xin Luo , Linchuan Xie , Yifu Sun , Guanghua Yu , Jianchen Zhu , S Kevin Zhou

A data stream model represents setting where approximating pairwise, or $k$-wise, independence with sublinear memory is of considerable importance. In the streaming model the joint distribution is given by a stream of $k$-tuples, with the…

Data Structures and Algorithms · Computer Science 2009-03-03 Vladimir Braverman , Rafail Ostrovsky

Humans can watch a continuous video stream and effortlessly perform continual acquisition and transfer of new knowledge with minimal supervision yet retaining previously learnt experiences. In contrast, existing continual learning (CL)…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Jay Zhangjie Wu , David Junhao Zhang , Wynne Hsu , Mengmi Zhang , Mike Zheng Shou

We give the first single-pass streaming algorithm for Column Subset Selection with respect to the entrywise $\ell_p$-norm with $1 \leq p < 2$. We study the $\ell_p$ norm loss since it is often considered more robust to noise than the…

Data Structures and Algorithms · Computer Science 2021-07-19 Shuli Jiang , Dongyu Li , Irene Mengze Li , Arvind V. Mahankali , David P. Woodruff

We study the space complexity of solving the bias-regularized SVM problem in the streaming model. This is a classic supervised learning problem that has drawn lots of attention, including for developing fast algorithms for solving the…

Data Structures and Algorithms · Computer Science 2020-07-08 Alexandr Andoni , Collin Burns , Yi Li , Sepideh Mahabadi , David P. Woodruff

We provide efficient support for applications that aim to continuously find pairs of similar sets in rapid streams of sets. A prototypical example setting is that of tweets. A tweet is a set of words, and Twitter emits about half a billion…

Databases · Computer Science 2019-12-04 Willi Mann , Nikolaus Augsten , Christian S. Jensen

Attaining prototypical features to represent class distributions is well established in representation learning. However, learning prototypes online from streaming data proves a challenging endeavor as they rapidly become outdated, caused…

Computer Vision and Pattern Recognition · Computer Science 2021-10-20 Matthias De Lange , Tinne Tuytelaars

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Distributed deep learning (DDL) training systems are designed for cloud and data-center environments that assumes homogeneous compute resources, high network bandwidth, sufficient memory and storage, as well as independent and identically…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Sahil Tyagi , Martin Swany

Given $n$ elements, an integer $k$ and a parameter $\varepsilon$, we study to select an element with rank in $(k-n\varepsilon,k+n\varepsilon]$ using unreliable comparisons where the outcome of each comparison is incorrect independently with…

Data Structures and Algorithms · Computer Science 2022-05-04 Shengyu Huang , Chih-Hung Liu , Daniel Rutschman

In the $k$-mismatch problem we are given a pattern of length $n$ and a text and must find all locations where the Hamming distance between the pattern and the text is at most $k$. A series of recent breakthroughs have resulted in an…

Data Structures and Algorithms · Computer Science 2021-06-22 Paweł Gawrychowski , Tatiana Starikovskaya

Estimating frequencies of items over data streams is a common building block in streaming data measurement and analysis. Misra and Gries introduced their seminal algorithm for the problem in 1982, and the problem has since been revisited…

Data Structures and Algorithms · Computer Science 2017-05-23 Daniel Anderson , Pryce Bevan , Kevin Lang , Edo Liberty , Lee Rhodes , Justin Thaler

Many sequential recommender systems suffer from the cold start problem, where items with few or no interactions cannot be effectively used by the model due to the absence of a trained embedding. Content-based approaches, which leverage item…

Information Retrieval · Computer Science 2025-07-28 Anton Pembek , Artem Fatkulin , Anton Klenitskiy , Alexey Vasilev

We introduce the task of out-of-order membership to a formal language L, where the letters of a word w are revealed one by one in an adversarial order. The length |w| is known in advance, but the content of w is streamed as pairs (i, w[i]),…

Formal Languages and Automata Theory · Computer Science 2026-05-11 Antoine Amarilli , Sebastien Labbe , Charles Paperman

In insertion-only streaming, one sees a sequence of indices $a_1, a_2, \ldots, a_m\in [n]$. The stream defines a sequence of $m$ frequency vectors $x^{(1)},\ldots,x^{(m)}\in\mathbb{R}^n$ with $(x^{(t)})_i = |\{j : j\in[t], a_j = i\}|$. That…

Data Structures and Algorithms · Computer Science 2017-11-10 Jarosław Błasiok , Jian Ding , Jelani Nelson

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

Many tasks in machine learning and data mining, such as data diversification, non-parametric learning, kernel machines, clustering etc., require extracting a small but representative summary from a massive dataset. Often, such problems can…

Machine Learning · Computer Science 2018-09-17 Ashkan Norouzi-Fard , Jakub Tarnawski , Slobodan Mitrović , Amir Zandieh , Aida Mousavifar , Ola Svensson