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Many existing algorithms for streaming geometric data analysis have been plagued by exponential dependencies in the space complexity, which are undesirable for processing high-dimensional data sets. In particular, once $d\geq\log n$, there…

Data Structures and Algorithms · Computer Science 2022-09-28 David P. Woodruff , Taisuke Yasuda

The need for real time analysis of rapidly producing data streams (e.g., video and image streams) motivated the design of streaming algorithms that can efficiently extract and summarize useful information from massive data "on the fly".…

Data Structures and Algorithms · Computer Science 2017-12-27 Baharan Mirzasoleiman , Stefanie Jegelka , Andreas Krause

We study the online maximum coverage problem on a line, in which, given an online sequence of sub-intervals (which may intersect among each other) of a target large interval and an integer $k$, we aim to select at most $k$ of the…

Data Structures and Algorithms · Computer Science 2020-11-24 Songhua Li , Minming Li , Lingjie Duan , Victor C. S. Lee

The quickest change detection problem is considered in the context of monitoring large-scale independent normal distributed data streams with possible changes in some of the means. It is assumed that for each individual local data stream,…

Statistics Theory · Mathematics 2016-03-18 Yuan Wang , Yajun Mei

We provide faster strongly polynomial time algorithms solving maximum flow in structured $n$-node $m$-arc networks. Our results imply an $n^{\omega + o(1)}$-time strongly polynomial time algorithms for computing a maximum bipartite…

Data Structures and Algorithms · Computer Science 2025-10-24 Daniel Dadush , James B. Orlin , Aaron Sidford , László A. Végh

Streaming submodular maximization is a natural model for the task of selecting a representative subset from a large-scale dataset. If datapoints have sensitive attributes such as gender or race, it becomes important to enforce fairness to…

Machine Learning · Computer Science 2025-11-25 Marwa El Halabi , Federico Fusco , Ashkan Norouzi-Fard , Jakab Tardos , Jakub Tarnawski

We study the maximum set coverage problem in the massively parallel model. In this setting, $m$ sets that are subsets of a universe of $n$ elements are distributed among $m$ machines. In each round, these machines can communicate with each…

Data Structures and Algorithms · Computer Science 2024-11-26 Thai Bui , Hoa T. Vu

We introduce the maximum $n$-times coverage problem that selects $k$ overlays to maximize the summed coverage of weighted elements, where each element must be covered at least $n$ times. We also define the min-cost $n$-times coverage…

Quantitative Methods · Quantitative Biology 2022-05-06 Ge Liu , Alexander Dimitrakakis , Brandon Carter , David Gifford

We study the classic set cover problem in the streaming model: the sets that comprise the instance are revealed one by one in a stream and the goal is to solve the problem by making one or few passes over the stream while maintaining a…

Data Structures and Algorithms · Computer Science 2017-03-07 Sepehr Assadi

In many emerging applications, data streams are monitored in a network environment. Due to limited communication bandwidth and other resource constraints, a critical and practical demand is to online compress data streams continuously with…

Data Structures and Algorithms · Computer Science 2008-12-01 Emad Soroush , Kui Wu , Jian Pei

We introduce the poly-streaming model, a generalization of streaming models of computation in which $k$ processors process $k$ data streams containing a total of $N$ items. The algorithm is allowed $O\left(f(k)\cdot M_1\right)$ space, where…

Data Structures and Algorithms · Computer Science 2025-07-21 Ahammed Ullah , S. M. Ferdous , Alex Pothen

Motivated by the Internet-of-things and sensor networks for cyberphysical systems, the problem of dynamic sensor activation for the centralized tracking of an i.i.d. time-varying process is examined. The tradeoff is between energy…

Optimization and Control · Mathematics 2018-04-12 Arpan Chattopadhyay , Urbashi Mitra

A longstanding observation, which was partially proven in \cite{LNW14,AHLW16}, is that any turnstile streaming algorithm can be implemented as a linear sketch (the reverse is trivially true). We study the relationship between turnstile…

Data Structures and Algorithms · Computer Science 2021-01-06 John Kallaugher , Eric Price

We study approximation algorithms for several variants of the MaxCover problem, with the focus on algorithms that run in FPT time. In the MaxCover problem we are given a set N of elements, a family S of subsets of N, and an integer K. The…

Data Structures and Algorithms · Computer Science 2013-09-18 Piotr Skowron , Piotr Faliszewski

Frequency estimation in data streams is one of the classical problems in streaming algorithms. Following much research, there are now almost matching upper and lower bounds for the trade-off needed between the number of samples and the…

Computational Complexity · Computer Science 2023-01-16 Shachar Lovett , Jiapeng Zhang

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

In this paper, we introduce the concept of Density-Balanced Subset in a matroid, in which independent sets can be sampled so as to guarantee that (i) each element has the same probability to be sampled, and (ii) those events are negatively…

Data Structures and Algorithms · Computer Science 2023-08-15 François Sellier

This work expands on previous advancements in genetic fingerprint spoofing via the DeepMasterPrints and introduces Diversity and Novelty MasterPrints. This system uses quality diversity evolutionary algorithms to generate dictionaries of…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 M Charity , Nasir Memon , Zehua Jiang , Abhi Sen , Julian Togelius

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

Fluid Dynamics · Physics 2019-01-14 Oliver T. Schmidt , Aaron Towne
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