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$K$-NN classifier is one of the most famous classification algorithms, whose performance is crucially dependent on the distance metric. When we consider the distance metric as a parameter of $K$-NN, learning an appropriate distance metric…

Machine Learning · Computer Science 2019-11-26 Kun Song

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

Vector quantization-based approaches are successful to solve Approximate Nearest Neighbor (ANN) problems which are critical to many applications. The idea is to generate effective encodings to allow fast distance approximation. We propose…

Computer Vision and Pattern Recognition · Computer Science 2015-09-18 Shicong Liu , Junru Shao , Hongtao Lu

This paper proposes a binarization scheme for vectors of high dimension based on the recent concept of anti-sparse coding, and shows its excellent performance for approximate nearest neighbor search. Unlike other binarization schemes, this…

Computer Vision and Pattern Recognition · Computer Science 2011-10-27 Hervé Jégou , Teddy Furon , Jean-Jacques Fuchs

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

Sparse embeddings of data form an attractive class due to their inherent interpretability: Every dimension is tied to a term in some vocabulary, making it easy to visually decipher the latent space. Sparsity, however, poses unique…

Data Structures and Algorithms · Computer Science 2025-09-30 Sebastian Bruch , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

The approximate nearest neighbor (ANN) search problem is fundamental to efficiently serving many real-world machine learning applications. A number of techniques have been developed for ANN search that are efficient, accurate, and scalable.…

Machine Learning · Computer Science 2023-02-23 Philip Sun , Ruiqi Guo , Sanjiv Kumar

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

This study introduces a novel transformer model optimized for large-scale point cloud processing in scientific domains such as high-energy physics (HEP) and astrophysics. Addressing the limitations of graph neural networks and standard…

Machine Learning · Computer Science 2024-06-06 Siqi Miao , Zhiyuan Lu , Mia Liu , Javier Duarte , Pan Li

In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we look at the graph obtained by connecting every pair of points…

Data Structures and Algorithms · Computer Science 2010-05-05 Rina Panigrahy , Kunal Talwar , Udi Wieder

We study data structures for storing a set of polygonal curves in ${\rm R}^d$ such that, given a query curve, we can efficiently retrieve similar curves from the set, where similarity is measured using the discrete Fr\'echet distance or the…

Computational Geometry · Computer Science 2017-03-14 Anne Driemel , Francesco Silvestri

Approximate nearest-neighbor search (ANNS) algorithms are a key part of the modern deep learning stack due to enabling efficient similarity search over high-dimensional vector space representations (i.e., embeddings) of data. Among various…

Information Retrieval · Computer Science 2024-02-09 Magdalen Dobson Manohar , Zheqi Shen , Guy E. Blelloch , Laxman Dhulipala , Yan Gu , Harsha Vardhan Simhadri , Yihan Sun

The in-memory approximate nearest neighbor search (ANNS) algorithms have achieved great success for fast high-recall query processing, but are extremely inefficient when handling hybrid queries with unstructured (i.e., feature vectors) and…

Databases · Computer Science 2022-07-19 Wei Wu , Junlin He , Yu Qiao , Guoheng Fu , Li Liu , Jin Yu

Nowadays, face recognition and more generally image recognition have many applications in the modern world and are widely used in our daily tasks. This paper aims to propose a distributed approximate nearest neighbor (ANN) method for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-31 Aysan Aghazadeh , Maryam Amirmazlaghani

Edit distance similarity search, also called approximate pattern matching, is a fundamental problem with widespread database applications. The goal of the problem is to preprocess $n$ strings of length $d$, to quickly answer queries $q$ of…

Data Structures and Algorithms · Computer Science 2020-07-10 Samuel McCauley

Nearest neighbor search on high-dimensional vectors is fundamental in modern AI and database systems. In many real-world applications, queries involve constraints on multiple numeric attributes, giving rise to range-filtering approximate…

Databases · Computer Science 2026-02-18 Yuanhang Yu , Dawei Cheng , Ying Zhang , Lu Qin , Wenjie Zhang , Xuemin Lin

Storing and processing of embedding vectors by specialized Vector databases (VDBs) has become the linchpin in building modern AI pipelines. Most current VDBs employ variants of a graph-based ap- proximate nearest-neighbor (ANN) index…

Databases · Computer Science 2025-11-20 Selim Furkan Tekin , Rajesh Bordawekar

With the growing integration of structured and unstructured data, new methods have emerged for performing similarity searches on vectors while honoring structured attribute constraints, i.e., a process known as Filtering Approximate Nearest…

Databases · Computer Science 2025-09-23 Mocheng Li , Xiao Yan , Baotong Lu , Yue Zhang , James Cheng , Chenhao Ma

We present a novel hashing strategy for approximate furthest neighbor search that selects projection bases using the data distribution. This strategy leads to an algorithm, which we call DrusillaHash, that is able to outperform existing…

Data Structures and Algorithms · Computer Science 2016-06-01 Ryan R. Curtin , Andrew B. Gardner

Let $k$ be a nonnegative integer. In the approximate $k$-flat nearest neighbor ($k$-ANN) problem, we are given a set $P \subset \mathbb{R}^d$ of $n$ points in $d$-dimensional space and a fixed approximation factor $c > 1$. Our goal is to…

Computational Geometry · Computer Science 2014-11-07 Wolfgang Mulzer , Huy L. Nguyen , Paul Seiferth , Yannik Stein