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We show that approximate similarity (near neighbour) search can be solved in high dimensions with performance matching state of the art (data independent) Locality Sensitive Hashing, but with a guarantee of no false negatives. Specifically,…

Data Structures and Algorithms · Computer Science 2018-06-28 Thomas Dybdahl Ahle

Locality-sensitive hashing~[Indyk,Motwani'98] is a classical data structure for approximate nearest neighbor search. It allows, after a close to linear time preprocessing of the input dataset, to find an approximately nearest neighbor of…

Data Structures and Algorithms · Computer Science 2024-06-18 Michael Kapralov , Mikhail Makarov , Christian Sohler

Contrastive learning is a representational learning paradigm in which a neural network maps data elements to feature vectors. It improves the feature space by forming lots with an anchor and examples that are either positive or negative…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Fabian Deuser , Philipp Hausenblas , Hannah Schieber , Daniel Roth , Martin Werner , Norbert Oswald

The Approximate Near Neighbor (ANN) problem is a cornerstone in high-dimensional data analysis, with applications ranging from information retrieval to data mining. Among the most successful paradigms for solving ANN in high-dimensional…

Data Structures and Algorithms · Computer Science 2026-04-28 Luca Becchetti , Andrea Clementi , Luciano Gualà , Emanuele Natale , Luca Pepè Sciarria , Alessandro Straziota

Distributed frameworks are gaining increasingly widespread use in applications that process large amounts of data. One important example application is large scale similarity search, for which Locality Sensitive Hashing (LSH) has emerged as…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-29 Bahman Bahmani , Ashish Goel , Rajendra Shinde

In this work, we show deep connections between Locality Sensitive Hashability and submodular analysis. We show that the LSHablility of the most commonly analyzed set similarities is in one-to-one correspondance with the supermodularity of…

Discrete Mathematics · Computer Science 2018-07-19 Maxim Berman , Matthew B. Blaschko

The Indyk-Motwani Locality-Sensitive Hashing (LSH) framework (STOC 1998) is a general technique for constructing a data structure to answer approximate near neighbor queries by using a distribution $\mathcal{H}$ over locality-sensitive hash…

Data Structures and Algorithms · Computer Science 2018-02-19 Tobias Christiani

Kernel methods have produced state-of-the-art results for a number of NLP tasks such as relation extraction, but suffer from poor scalability due to the high cost of computing kernel similarities between natural language structures. A…

Computation and Language · Computer Science 2019-05-22 Sahil Garg , Aram Galstyan , Greg Ver Steeg , Irina Rish , Guillermo Cecchi , Shuyang Gao

This paper aims for the language-based product image retrieval task. The majority of previous works have made significant progress by designing network structure, similarity measurement, and loss function. However, they typically perform…

Computer Vision and Pattern Recognition · Computer Science 2021-02-19 Zhe Ma , Fenghao Liu , Jianfeng Dong , Xiaoye Qu , Yuan He , Shouling Ji

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

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

Databases · Computer Science 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen

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

The multichannel rendezvous problem is a fundamental problem for neighbor discovery in many IoT applications. The existing works in the literature focus mostly on improving the worst-case performance, and the average-case performance is…

Networking and Internet Architecture · Computer Science 2022-11-14 Guann-Yng Jiang , Cheng-Shang Chang

Tensor network methods provide a scalable solution to represent high-dimensional data. However, their efficacy is often limited by static, expert-defined structures that fail to adapt to evolving data correlations. We address this…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Zheng Guo , Aditya Deshpande , Xinyu Wang , Brian C. Kiedrowski , Alex A. Gorodetsky

We present NearBucket-LSH, an effective algorithm for similarity search in large-scale distributed online social networks organized as peer-to-peer overlays. As communication is a dominant consideration in distributed systems, we focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-24 Naama Kraus , David Carmel , Idit Keidar , Meni Orenbach

All pairs similarity search is a problem where a set of data objects is given and the task is to find all pairs of objects that have similarity above a certain threshold for a given similarity measure-of-interest. When the number of points…

Information Retrieval · Computer Science 2016-06-29 Aniket Chakrabarti , Srinivasan Parthasarathy

Locality-sensitive hashing (LSH), introduced by Indyk and Motwani in STOC '98, has been an extremely influential framework for nearest neighbor search in high-dimensional data sets. While theoretical work has focused on the approximate…

Data Structures and Algorithms · Computer Science 2018-12-07 Tobias Christiani , Rasmus Pagh , Mikkel Thorup

We show the existence of a Locality-Sensitive Hashing (LSH) family for the angular distance that yields an approximate Near Neighbor Search algorithm with the asymptotically optimal running time exponent. Unlike earlier algorithms with this…

Data Structures and Algorithms · Computer Science 2015-09-10 Alexandr Andoni , Piotr Indyk , Thijs Laarhoven , Ilya Razenshteyn , Ludwig Schmidt

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

Hashing methods have been widely used for efficient similarity retrieval on large scale image database. Traditional hashing methods learn hash functions to generate binary codes from hand-crafted features, which achieve limited accuracy…

Computer Vision and Pattern Recognition · Computer Science 2017-11-08 Jian Zhang , Yuxin Peng