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The time complexity of data clustering has been viewed as fundamentally quadratic, slowing with the number of data items, as each item is compared for similarity to preceding items. Clustering of large data sets has been infeasible without…

Data Structures and Algorithms · Computer Science 2017-02-28 Jonathan A. Marshall , Lawrence C. Rafsky

A new algorithm developed to perform autonomous fitting of gravitational microlensing lightcurves is presented. The new algorithm is conceptually simple, versatile and robust, and parallelises trivially; it combines features of extant…

Instrumentation and Methods for Astrophysics · Physics 2015-06-25 Vinesh Rajpaul

We introduce simple, efficient algorithms for computing a MinHash of a probability distribution, suitable for both sparse and dense data, with equivalent running times to the state of the art for both cases. The collision probability of…

Data Structures and Algorithms · Computer Science 2019-01-04 Ryan Moulton , Yunjiang Jiang

A string matching -- and more generally, sequence matching -- algorithm is presented that has a linear worst-case computing time bound, a low worst-case bound on the number of comparisons (2n), and sublinear average-case behavior that is…

Data Structures and Algorithms · Computer Science 2008-10-02 David R. Musser , Gor V. Nishanov

Measuring similarity between incomplete data is a fundamental challenge in web mining, recommendation systems, and user behavior analysis. Traditional approaches either discard incomplete data or perform imputation as a preprocessing step,…

Machine Learning · Computer Science 2025-10-16 Yang Cao , Sikun Yang , Kai He , Wenjun Ma , Ming Liu , Yujiu Yang , Jian Weng

In the last few years, much effort has been devoted to developing join algorithms in order to achieve worst-case optimality for join queries over relational databases. Towards this end, the database community has had considerable success in…

Databases · Computer Science 2020-03-02 Shaleen Deep , Xiao Hu , Paraschos Koutris

In this paper, we investigate the problem of (k,r)-core which intends to find cohesive subgraphs on social networks considering both user engagement and similarity perspectives. In particular, we adopt the popular concept of k-core to…

Social and Information Networks · Computer Science 2016-11-11 Fan Zhang , Ying Zhang , Lu Qin , Wenjie Zhang , Xuemin Lin

Efficient join processing is one of the most fundamental and well-studied tasks in database research. In this work, we examine algorithms for natural join queries over many relations and describe a novel algorithm to process these queries…

Databases · Computer Science 2012-03-12 Hung Q. Ngo , Ely Porat , Christopher Ré , Atri Rudra

Efficient indexing and searching of high dimensional data has been an area of active research due to the growing exploitation of high dimensional data and the vulnerability of traditional search methods to the curse of dimensionality. This…

Information Retrieval · Computer Science 2015-05-13 Yu Zhong

We study the minimum cut problem in the presence of uncertainty and show how to apply a novel robust optimization approach, which aims to exploit the similarity in subsequent graph measurements or similar graph instances, without posing any…

Data Structures and Algorithms · Computer Science 2013-04-30 Barbara Geissmann , Rastislav Šrámek

Quantifying the similarity between two graphs is a fundamental algorithmic problem at the heart of many data analysis tasks for graph-based data. In this paper, we study the computational complexity of a family of similarity measures based…

Discrete Mathematics · Computer Science 2022-07-04 Timo Gervens , Martin Grohe

We propose a matching method that recovers direct treatment effects from randomized experiments where units are connected in an observed network, and units that share edges can potentially influence each others' outcomes. Traditional…

The challenge of estimating similarity between sets has been a significant concern in data science, finding diverse applications across various domains. However, previous approaches, such as MinHash, have predominantly centered around…

Data Structures and Algorithms · Computer Science 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

The Jaccard index is an important similarity measure for item sets and Boolean data. On large datasets, an exact similarity computation is often infeasible for all item pairs both due to time and space constraints, giving rise to faster…

Data Structures and Algorithms · Computer Science 2021-03-09 Marc Bury , Chris Schwiegelshohn , Mara Sorella

The Neighbor-Joining algorithm is a popular distance-based phylogenetic method that computes a tree metric from a dissimilarity map arising from biological data. Realizing dissimilarity maps as points in Euclidean space, the algorithm…

Combinatorics · Mathematics 2020-09-18 Ruth Davidson , Abraham Martin del Campo

A matching cut is a partition of the vertex set of a graph into two sets $A$ and $B$ such that each vertex has at most one neighbor in the other side of the cut. The MATCHING CUT problem asks whether a graph has a matching cut, and has been…

Data Structures and Algorithms · Computer Science 2019-05-09 Guilherme C. M. Gomes , Ignasi Sau

Computing the edit distance of two strings is one of the most basic problems in computer science and combinatorial optimization. Tree edit distance is a natural generalization of edit distance in which the task is to compute a measure of…

Data Structures and Algorithms · Computer Science 2022-09-16 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha , Hamed Saleh

Semantic query processing engines often support semantic joins, enabling users to match rows that satisfy conditions specified in natural language. Such join conditions can be evaluated using large language models (LLMs) that solve novel…

Databases · Computer Science 2025-10-10 Immanuel Trummer

Suppose we are given a bipartite graph that admits a perfect matching and an adversary may delete any edge from the graph with the intention of destroying all perfect matchings. We consider the task of adding a minimum cost edge-set to the…

Data Structures and Algorithms · Computer Science 2018-12-06 Felix Hommelsheim , Moritz Mühlenthaler , Oliver Schaudt

A number of tasks in classification, information retrieval, recommendation systems, and record linkage reduce to the core problem of inner product similarity join (IPS join): identifying pairs of vectors in a collection that have a…

Data Structures and Algorithms · Computer Science 2016-04-08 Thomas D. Ahle , Rasmus Pagh , Ilya Razenshteyn , Francesco Silvestri
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