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In this paper, we study fundamental parameterized problems such as $k$-Path/Cycle, Vertex Cover, Triangle Hitting Set, Feedback Vertex Set, and Cycle Packing for dynamic unit disk graphs. Given a vertex set $V$ changing dynamically under…

Data Structures and Algorithms · Computer Science 2024-09-23 Shinwoo An , Kyungjin Cho , Leo Jang , Byeonghyeon Jung , Yudam Lee , Eunjin Oh , Donghun Shin , Hyeonjun Shin , Chanho Song

The $k$-center problem is a fundamental clustering variant with applications in learning systems and data summarization. In several real-world scenarios, the dataset to be clustered is not static, but evolves over time, as new data points…

Data Structures and Algorithms · Computer Science 2026-03-25 Simone Moretti , Paolo Pellizzoni , Andrea Pietracaprina , Geppino Pucci

Count-Min Sketch with Conservative Updates (CMS-CU) is a memory-efficient hash-based data structure used to estimate the occurrences of items within a data stream. CMS-CU stores $m$ counters and employs $d$ hash functions to map items to…

Data Structures and Algorithms · Computer Science 2024-05-22 Younes Ben Mazziane , Othmane Marfoq

Biclustering is a two way clustering approach involving simultaneous clustering along two dimensions of the data matrix. Finding biclusters of web objects (i.e. web users and web pages) is an emerging topic in the context of web usage…

Neural and Evolutionary Computing · Computer Science 2011-06-14 R. Rathipriya , Dr. K. Thangavel , J. Bagyamani

We present a new approach for computing compact sketches that can be used to approximate the inner product between pairs of high-dimensional vectors. Based on the Weighted MinHash algorithm, our approach admits strong accuracy guarantees…

Imagine a large graph that is being processed by a cluster of computers, e.g., described by the $k$-machine model or the Massively Parallel Computation Model. The graph, however, is not static; instead it is receiving a constant stream of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Seth Gilbert , Lawrence Li

Despite being one of the oldest data structures in computer science, hash tables continue to be the focus of a great deal of both theoretical and empirical research. A central reason for this is that many of the fundamental properties that…

Data Structures and Algorithms · Computer Science 2023-10-24 Michael A. Bender , Alex Conway , Martín Farach-Colton , William Kuszmaul , Guido Tagliavini

Near-duplicate text alignment is the task of identifying, among the texts in a corpus, all the subsequences (substrings) that are similar to a given query. Traditional approaches rely on seeding-extension-filtering heuristics, which lack…

Databases · Computer Science 2025-09-03 Yuheng Zhang , Miao Qiao , Zhencan Peng , Dong Deng

With advances in multimedia technologies and the proliferation of smart phone, digital cameras, storage devices, there are a rapidly growing massive amount of multimedia data collected in many applications such as multimedia retrieval and…

Multimedia · Computer Science 2018-08-16 Chengyuan Zhang , Yunwu Lin , Lei Zhu , XinPan Yuan , Jun Long , Fang Huang

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

Online hashing methods usually learn the hash functions online, aiming to efficiently adapt to the data variations in the streaming environment. However, when the hash functions are updated, the binary codes for the whole database have to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-06 Zhenyu Weng , Yuesheng Zhu

When facing a very large stream of data, it is often desirable to extract most important statistics online in a short time and using small memory. For example, one may want to quickly find the most influential users generating posts online…

Data Structures and Algorithms · Computer Science 2022-03-30 Dariusz R. Kowalski , Dominik Pajak

Fast similarity search is a key component in large-scale information retrieval, where semantic hashing has become a popular strategy for representing documents as binary hash codes. Recent advances in this area have been obtained through…

Information Retrieval · Computer Science 2019-06-04 Casper Hansen , Christian Hansen , Jakob Grue Simonsen , Stephen Alstrup , Christina Lioma

In the (fully) dynamic set cover problem, we have a collection of $m$ sets from a universe of size $n$ that undergo element insertions and deletions; the goal is to maintain an approximate set cover of the universe after each update. We…

Data Structures and Algorithms · Computer Science 2021-05-17 Sepehr Assadi , Shay Solomon

We consider space efficient hash tables that can grow and shrink dynamically and are always highly space efficient, i.e., their space consumption is always close to the lower bound even while growing and when taking into account storage…

Data Structures and Algorithms · Computer Science 2017-05-03 Tobias Maier , Peter Sanders

Hashing retrieval is a pivotal technology for large-scale similarity search, widely applied in retrieval-augmented generation (RAG) for large language models (LLMs), massive image repositories, and bioinformatics sequence matching. However,…

This paper focuses on similarity caching systems, in which a user request for an {object~$o$} that is not in the cache can be (partially) satisfied by a similar stored {object~$o'$}, at the cost of a loss of user utility. Similarity caching…

Networking and Internet Architecture · Computer Science 2021-05-28 Michele Garetto , Emilio Leonardi , Giovanni Neglia

In the fully dynamic maximal matching problem, the goal is to maintain a maximal matching in a graph undergoing an online sequence of edge insertions and deletions. The problem has been studied extensively in the oblivious-adversary…

Data Structures and Algorithms · Computer Science 2026-05-04 Julia Chuzhoy , Sanjeev Khanna , Junkai Song

In this paper we present a simple but powerful subgraph sampling primitive that is applicable in a variety of computational models including dynamic graph streams (where the input graph is defined by a sequence of edge/hyperedge insertions…

Data Structures and Algorithms · Computer Science 2015-05-08 Rajesh Chitnis , Graham Cormode , Hossein Esfandiari , MohammadTaghi Hajiaghayi , Andrew McGregor , Morteza Monemizadeh , Sofya Vorotnikova

A function $f : U \to \{0,\ldots,n-1\}$ is a minimal perfect hash function for a set $S \subseteq U$ of size $n$, if $f$ bijectively maps $S$ into the first $n$ natural numbers. These functions are important for many practical applications…

Data Structures and Algorithms · Computer Science 2023-08-08 Giulio Ermanno Pibiri , Roberto Trani
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