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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

Maximizing submodular functions under cardinality constraints lies at the core of numerous data mining and machine learning applications, including data diversification, data summarization, and coverage problems. In this work, we study this…

Data Structures and Algorithms · Computer Science 2016-11-01 Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

We propose a streaming submodular maximization algorithm "stream clipper" that performs as well as the offline greedy algorithm on document/video summarization in practice. It adds elements from a stream either to a solution set $S$ or to…

Machine Learning · Statistics 2018-02-14 Tianyi Zhou , Jeff Bilmes

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Max-Cut is a fundamental problem that has been studied extensively in various settings. We design an algorithm for Euclidean Max-Cut, where the input is a set of points in $\mathbb{R}^d$, in the model of dynamic geometric streams, where the…

Data Structures and Algorithms · Computer Science 2023-03-30 Xiaoyu Chen , Shaofeng H. -C. Jiang , Robert Krauthgamer

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

The Bin Packing Problem (BPP) is a well-established combinatorial optimization (CO) problem. Since it has many applications in our daily life, e.g. logistics and resource allocation, people are seeking efficient bin packing algorithms. On…

Machine Learning · Computer Science 2023-12-14 Wenjie Wu , Changjun Fan , Jincai Huang , Zhong Liu , Junchi Yan

Submodular maximization has become established as the method of choice for the task of selecting representative and diverse summaries of data. However, if datapoints have sensitive attributes such as gender or age, such machine learning…

Machine Learning · Computer Science 2020-10-20 Marwa El Halabi , Slobodan Mitrović , Ashkan Norouzi-Fard , Jakab Tardos , Jakub Tarnawski

We consider the Ordered Open End Bin Packing problem. Items of sizes in $(0,1]$ are presented one by one, to be assigned to bins in this order. An item can be assigned to any bin for which the current total size strictly below $1$. This…

Data Structures and Algorithms · Computer Science 2020-10-15 János Balogh , Leah Epstein , Asaf Levin

We study the maximum constraint satisfaction problem, Max-CSP, in the streaming setting. Given $n$ variables, the constraints arrive sequentially in an arbitrary order, with each constraint involving only a small subset of the variables.…

Data Structures and Algorithms · Computer Science 2026-04-03 Amir Azarmehr , Soheil Behnezhad , Shane Ferrante

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

Data Structures and Algorithms · Computer Science 2020-06-11 Martin Olsen , Allan Gross

We develop a new algorithmic technique that allows to transfer some constant time approximation algorithms for general graphs into random order streaming algorithms. We illustrate our technique by proving that in random order streams with…

Data Structures and Algorithms · Computer Science 2017-11-15 Pan Peng , Christian Sohler

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

Most known algorithms in the streaming model of computation aim to approximate a single function such as an $\ell_p$-norm. In 2009, Nelson [\url{https://sublinear.info}, Open Problem 30] asked if it possible to design \emph{universal…

Data Structures and Algorithms · Computer Science 2020-04-07 Vladimir Braverman , Robert Krauthgamer , Lin F. Yang

As graphs continue to grow in size, we seek ways to effectively process such data at scale. The model of streaming graph processing, in which a compact summary is maintained as each edge insertion/deletion is observed, is an attractive one.…

Data Structures and Algorithms · Computer Science 2014-07-25 Rajesh Chitnis , Graham Cormode , MohammadTaghi Hajiaghayi , Morteza Monemizadeh

Parameterized complexity attempts to give a more fine-grained analysis of the complexity of problems: instead of measuring the running time as a function of only the input size, we analyze the running time with respect to additional…

Data Structures and Algorithms · Computer Science 2019-11-22 Rajesh Chitnis , Graham Cormode

Multimodal Large Language Models have achieved significant success in offline video understanding, yet their application to streaming videos is severely limited by the linear explosion of visual tokens, which often leads to Out-of-Memory…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Chao Wang , Xudong Tan , Jianjian Cao , Kangcong Li , Tao Chen

We consider the unweighted bipartite maximum matching problem in the one-pass turnstile streaming model where the input stream consists of edge insertions and deletions. In the insertion-only model, a one-pass $2$-approximation streaming…

Data Structures and Algorithms · Computer Science 2015-05-07 Christian Konrad

In this paper we consider the problem of finding a maximum weight set subject to a $k$-extendible constraint in the data stream model. The only non-trivial algorithm known for this problem to date---to the best of our knowledge---is a…

Data Structures and Algorithms · Computer Science 2019-06-12 Moran Feldman , Ran Haba