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We present new lower bounds that show that a polynomial number of passes are necessary for solving some fundamental graph problems in the streaming model of computation. For instance, we show that any streaming algorithm that finds a…

Data Structures and Algorithms · Computer Science 2019-04-10 Sepehr Assadi , Yu Chen , Sanjeev Khanna

Given a large graph, the densest-subgraph problem asks to find a subgraph with maximum average degree. When considering the top-$k$ version of this problem, a na\"ive solution is to iteratively find the densest subgraph and remove it in…

Data Structures and Algorithms · Computer Science 2017-08-30 Muhammad Anis Uddin Nasir , Aristides Gionis , Gianmarco De Francisci Morales , Sarunas Girdzijauskas

Current approaches for activity recognition often ignore constraints on computational resources: 1) they rely on extensive feature computation to obtain rich descriptors on all frames, and 2) they assume batch-mode access to the entire test…

Computer Vision and Pattern Recognition · Computer Science 2016-04-05 Yu-Chuan Su , Kristen Grauman

We consider the classic Set Cover problem in the data stream model. For $n$ elements and $m$ sets ($m\geq n$) we give a $O(1/\delta)$-pass algorithm with a strongly sub-linear $\tilde{O}(mn^{\delta})$ space and logarithmic approximation…

Data Structures and Algorithms · Computer Science 2016-05-03 Sariel Har-Peled , Piotr Indyk , Sepideh Mahabadi , Ali Vakilian

Large-scale multi-session LiDAR mapping is crucial for various applications but still faces significant challenges in data redundancy, memory consumption, and efficiency. This paper presents MS-Mapping, a novel multi-session LiDAR mapping…

Robotics · Computer Science 2024-07-18 Xiangcheng Hu , Jin Wu , Jianhao Jiao , Wei Zhang , Ping Tan

We study the problem of partitioning integer sequences in the one-pass data streaming model. Given is an input stream of integers $X \in \{0, 1, \dots, m \}^n$ of length $n$ with maximum element $m$, and a parameter $p$. The goal is to…

Data Structures and Algorithms · Computer Science 2014-07-08 Christian Konrad , László Kozma

Consider the following abstract coin tossing problem: Given a set of $n$ coins with unknown biases, find the most biased coin using a minimal number of coin tosses. This is a common abstraction of various exploration problems in theoretical…

Data Structures and Algorithms · Computer Science 2022-12-29 Sepehr Assadi , Chen Wang

Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

Data Structures and Algorithms · Computer Science 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar

Many existing procedures for detecting multiple change-points in data sequences fail in frequent-change-point scenarios. This article proposes a new change-point detection methodology designed to work well in both infrequent and frequent…

Methodology · Statistics 2020-02-25 Piotr Fryzlewicz

A Bloom Filter is a probabilistic data structure designed to check, rapidly and memory-efficiently, whether an element is present in a set. It has been vastly used in various computing areas and several variants, allowing deletions, dynamic…

Data Structures and Algorithms · Computer Science 2023-06-13 Ana Rodrigues , Ariel Shtul , Carlos Baquero , Paulo Sérgio Almeida

Handling haphazard streaming data, such as data from edge devices, presents a challenging problem. Over time, the incoming data becomes inconsistent, with missing, faulty, or new inputs reappearing. Therefore, it requires models that are…

Machine Learning · Computer Science 2024-12-31 Himanshu Buckchash , Momojit Biswas , Rohit Agarwal , Dilip K. Prasad

Natural phenomena show that many creatures form large social groups and move in regular patterns. Previous In this paper, we first propose an efficient distributed mining algorithm to jointly identify a group of moving objects and discover…

Cryptography and Security · Computer Science 2013-03-04 Saravanan kumarasamy , T. Stephen Thangaraj

In recent days, streaming technology has greatly promoted the development in the field of livestream. Due to the excessive length of livestream records, it's quite essential to extract highlight segments with the aim of effective…

Multimedia · Computer Science 2022-06-13 Yang Zhao , Xuan Lin , Wenqiang Xu , Maozong Zheng , Zhengyong Liu , Zhou Zhao

The \emph{$\ell_2$ tracking problem} is the task of obtaining a streaming algorithm that, given access to a stream of items $a_1,a_2,a_3,\ldots$ from a universe $[n]$, outputs at each time $t$ an estimate to the $\ell_2$ norm of the…

Data Structures and Algorithms · Computer Science 2019-09-02 Chi-Ning Chou , Zhixian Lei , Preetum Nakkiran

Given a stream of data, a typical approach in streaming algorithms is to design a sophisticated algorithm with small memory that computes a specific statistic over the streaming data. Usually, if one wants to compute a different statistic…

Data Structures and Algorithms · Computer Science 2014-08-13 Vladimir Braverman , Rafail Ostrovsky , Alan Roytman

We study streaming algorithms for proportionally fair clustering, a notion originally suggested by Chierichetti et. al. (2017), in the sliding window model. We show that although there exist efficient streaming algorithms in the…

Data Structures and Algorithms · Computer Science 2025-03-10 Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Qiaoyuan Yang , Yubo Zhang , Samson Zhou

Linearizing pretrained large language models (LLMs) primarily relies on intra-layer hybrid attention mechanisms to alleviate the quadratic complexity of standard softmax attention. Existing methods perform token routing based on…

Machine Learning · Computer Science 2026-02-03 Weikang Meng , Liangyu Huo , Yadan Luo , Jiawen Guan , Jingyi Zhang , Yingjian Li , Zheng Zhang

This paper presents an innovative continuous linear finite element approach to effectively solve biharmonic problems on surfaces. The key idea behind this method lies in the strategic utilization of a surface gradient recovery operator to…

Numerical Analysis · Mathematics 2024-04-30 Ying Cai , Hailong Guo , Zhimin Zhang

In this paper, we focus on learning a linear time-invariant (LTI) model with low-dimensional latent variables but high-dimensional observations. We provide an algorithm that recovers the high-dimensional features, i.e. column space of the…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Yuyang Zhang , Shahriar Talebi , Na Li

Detecting heavy hitters, which are flows exceeding a specified threshold, is crucial for network measurement, but it faces challenges due to increasing throughput and memory constraints. Existing sketch-based solutions, particularly those…

Networking and Internet Architecture · Computer Science 2024-08-26 Xilai Liu , Xinyi Zhang , Bingqing Liu , Tao Li , Tong Yang , Gaogang Xie
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