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We present an I/O-efficient algorithm for computing similarity joins based on locality-sensitive hashing (LSH). In contrast to the filtering methods commonly suggested our method has provable sub-quadratic dependency on the data size.…

Data Structures and Algorithms · Computer Science 2017-03-29 Rasmus Pagh , Ninh Pham , Francesco Silvestri , Morten Stöckel

We propose a new class of data-independent locality-sensitive hashing (LSH) algorithms based on the fruit fly olfactory circuit. The fundamental difference of this approach is that, instead of assigning hashes as dense points in a low…

Machine Learning · Computer Science 2018-12-06 Jaiyam Sharma , Saket Navlakha

Scalar field comparison is a fundamental task in scientific visualization. In topological data analysis, we compare topological descriptors of scalar fields -- such as persistence diagrams and merge trees -- because they provide succinct…

Computational Geometry · Computer Science 2024-09-18 Weiran Lyu , Raghavendra Sridharamurthy , Jeff M. Phillips , Bei Wang

Nearest-neighbor query processing is a fundamental operation for many image retrieval applications. Often, images are stored and represented by high-dimensional vectors that are generated by feature-extraction algorithms. Since tree-based…

Databases · Computer Science 2019-12-17 Omid Jafari , Khandker Mushfiqul Islam , Parth Nagarkar

Near neighbor problems are fundamental in algorithms for high-dimensional Euclidean spaces. While classical approaches suffer from the curse of dimensionality, locality sensitive hashing (LSH) can effectively solve a-approximate r-near…

Data Structures and Algorithms · Computer Science 2016-12-15 Wenlong Mou , Liwei Wang

Locality-sensitive hashing (LSH) has emerged as the dominant algorithmic technique for similarity search with strong performance guarantees in high-dimensional spaces. A drawback of traditional LSH schemes is that they may have \emph{false…

Databases · Computer Science 2016-08-22 Ninh Pham , Rasmus Pagh

Similarity search is critical for many database applications, including the increasingly popular online services for Content-Based Multimedia Retrieval (CBMR). These services, which include image search engines, must handle an overwhelming…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-16 Thiago S. F. X. Teixeira , George Teodoro , Eduardo Valle , Joel H. Saltz

An important question that arises in the study of high dimensional vector representations learned from data is: given a set $\mathcal{D}$ of vectors and a query $q$, estimate the number of points within a specified distance threshold of…

Data Structures and Algorithms · Computer Science 2018-09-21 Xian Wu , Moses Charikar , Vishnu Natchu

We study the $r$-near neighbors reporting problem ($r$-NN), i.e., reporting \emph{all} points in a high-dimensional point set $S$ that lie within a radius $r$ of a given query point $q$. Our approach builds upon on the locality-sensitive…

Databases · Computer Science 2017-03-29 Ninh Pham

Locality-sensitive hashing (LSH) is a popular data-independent indexing method for approximate similarity search, where random projections followed by quantization hash the points from the database so as to ensure that the probability of…

Computer Vision and Pattern Recognition · Computer Science 2015-06-04 Saehoon Kim , Seungjin Choi

Similarity search (nearest neighbor search) is a problem of pursuing the data items whose distances to a query item are the smallest from a large database. Various methods have been developed to address this problem, and recently a lot of…

Data Structures and Algorithms · Computer Science 2014-08-14 Jingdong Wang , Heng Tao Shen , Jingkuan Song , Jianqiu Ji

Locality-sensitive hashing (LSH) based frameworks have been used efficiently to select weight vectors in a dense hidden layer with high cosine similarity to an input, enabling dynamic pruning. While this type of scheme has been shown to…

Machine Learning · Computer Science 2023-06-06 Tahseen Rabbani , Marco Bornstein , Furong Huang

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. There are several variants of the similarity search problem, and one of the most relevant is the $r$-near neighbor ($r$-NN) problem:…

Data Structures and Algorithms · Computer Science 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. Given a set of points $S$ and a radius parameter $r>0$, the $r$-near neighbor ($r$-NN) problem asks for a data structure that, given…

Data Structures and Algorithms · Computer Science 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

In this paper, we propose a method for density-based clustering in high-dimensional spaces that combines Locality-Sensitive Hashing (LSH) with the Quick Shift algorithm. The Quick Shift algorithm, known for its hierarchical clustering…

Machine Learning · Computer Science 2025-12-01 Sajjad Hashemian

The $c$-approximate Near Neighbor problem in high dimensional spaces has been mainly addressed by Locality Sensitive Hashing (LSH), which offers polynomial dependence on the dimension, query time sublinear in the size of the dataset, and…

Computational Geometry · Computer Science 2016-12-23 Georgia Avarikioti , Ioannis Z. Emiris , Ioannis Psarros , Georgios Samaras

Automatic crash bucketing is a crucial phase in the software development process for efficiently triaging bug reports. It generally consists in grouping similar reports through clustering techniques. However, with real-time streaming bug…

Software Engineering · Computer Science 2023-10-11 Youcef Remil , Anes Bendimerad , Romain Mathonat , Chedy Raissi , Mehdi Kaytoue

Similarity joins are a fundamental database operation. Given data sets S and R, the goal of a similarity join is to find all points x in S and y in R with distance at most r. Recent research has investigated how locality-sensitive hashing…

Data Structures and Algorithms · Computer Science 2018-04-17 Samuel McCauley , Francesco Silvestri

Research on nearest-neighbor methods tends to focus somewhat dichotomously either on the statistical or the computational aspects -- either on, say, Bayes consistency and rates of convergence or on techniques for speeding up the proximity…

Statistics Theory · Mathematics 2020-04-17 Klim Efremenko , Aryeh Kontorovich , Moshe Noivirt

We investigate the problem of finding reverse nearest neighbors efficiently. Although provably good solutions exist for this problem in low or fixed dimensions, to this date the methods proposed in high dimensions are mostly heuristic. We…

Computational Geometry · Computer Science 2010-11-24 David Arthur , Steve Y. Oudot