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Many emerging use cases of data mining and machine learning operate on large datasets with data from heterogeneous sources, specifically with both sparse and dense components. For example, dense deep neural network embedding vectors are…

Machine Learning · Computer Science 2019-03-22 Xiang Wu , Ruiqi Guo , David Simcha , Dave Dopson , Sanjiv Kumar

Finding nearest neighbors in high-dimensional spaces is a fundamental operation in many diverse application domains. Locality Sensitive Hashing (LSH) is one of the most popular techniques for finding approximate nearest neighbor searches in…

Databases · Computer Science 2021-02-18 Omid Jafari , Preeti Maurya , Parth Nagarkar , Khandker Mushfiqul Islam , Chidambaram Crushev

Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

The reverse k-nearest neighbor (RkNN) query is an established query type with various applications reaching from identifying highly influential objects over incrementally updating kNN graphs to optimizing sensor communication and outlier…

Databases · Computer Science 2020-11-04 Sandra Obermeier , Max Berrendorf , Peer Kröger

We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an $n$-point data set in a $d$-dimensional space our data structure achieves query time $O(d n^{\rho+o(1)})$ and space $O(n^{1+\rho+o(1)} +…

Data Structures and Algorithms · Computer Science 2015-07-17 Alexandr Andoni , Ilya Razenshteyn

K-Nearest Neighbours (k-NN) is a popular classification and regression algorithm, yet one of its main limitations is the difficulty in choosing the number of neighbours. We present a Bayesian algorithm to compute the posterior probability…

Machine Learning · Computer Science 2017-06-05 Giuseppe Nuti

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

Fast Nearest Neighbor (NN) search is a fundamental challenge in large-scale data processing and analytics, particularly for analyzing multimedia contents which are often of high dimensionality. Instead of using exact NN search, extensive…

Information Retrieval · Computer Science 2016-05-19 Ji Wan , Sheng Tang , Yongdong Zhang , Jintao Li , Pengcheng Wu , Steven C. H. Hoi

The explosive growth in big data has attracted much attention in designing efficient indexing and search methods recently. In many critical applications such as large-scale search and pattern matching, finding the nearest neighbors to a…

Machine Learning · Computer Science 2015-09-21 Jun Wang , Wei Liu , Sanjiv Kumar , Shih-Fu Chang

Existing fast algorithms for bilateral and nonlocal means filtering mostly work with grayscale images. They cannot easily be extended to high-dimensional data such as color and hyperspectral images, patch-based data, flow-fields, etc. In…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Pravin Nair , Kunal. N. Chaudhury

Diversity optimization seeks to discover a set of solutions that elicit diverse features. Prior work has proposed Novelty Search (NS), which, given a current set of solutions, seeks to expand the set by finding points in areas of low…

Machine Learning · Computer Science 2024-05-31 David H. Lee , Anishalakshmi V. Palaparthi , Matthew C. Fontaine , Bryon Tjanaka , Stefanos Nikolaidis

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

Data Structures and Algorithms · Computer Science 2019-06-25 Tobias Christiani

The approximate nearest neighbor problem ($\epsilon$-ANN) in high dimensional Euclidean space has been mainly addressed by Locality Sensitive Hashing (LSH), which has polynomial dependence in the dimension, sublinear query time, but…

Computational Geometry · Computer Science 2016-12-06 Evangelos Anagnostopoulos , Ioannis Z. Emiris , Ioannis Psarros

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

Many large multimedia applications require efficient processing of nearest neighbor queries. Often, multimedia data are represented as a collection of important high-dimensional feature vectors. Existing Locality Sensitive Hashing (LSH)…

Databases · Computer Science 2020-10-16 Omid Jafari , Parth Nagarkar , Jonathan Montaño

One of the goals of NASA funded project at IBM T. J. Watson Research Center was to build an index for similarity searching satellite images, which were characterized by high-dimensional feature image texture vectors. Reviewed is our effort…

Databases · Computer Science 2024-01-08 Alexander Thomasian

K-Nearest Neighbors (KNN) search is a fundamental algorithm in artificial intelligence software with applications in robotics, and autonomous vehicles. These wide-ranging applications utilize KNN either directly for simple classification or…

Software Engineering · Computer Science 2021-06-08 Aryan Naim , Joseph Bowkett , Sisir Karumanchi , Peyman Tavallali , Brett Kennedy

Approximate Nearest Neighbor Search (ANNS) on high-dimensional vectors has become a fundamental and essential component in various machine learning tasks. Recently, with the rapid development of deep learning models and the applications of…

Databases · Computer Science 2025-02-21 Zeyu Wang , Haoran Xiong , Qitong Wang , Zhenying He , Peng Wang , Themis Palpanas , Wei Wang

We study spectral algorithms for the high-dimensional Nearest Neighbor Search problem (NNS). In particular, we consider a semi-random setting where a dataset $P$ in $\mathbb{R}^d$ is chosen arbitrarily from an unknown subspace of low…

Data Structures and Algorithms · Computer Science 2014-08-05 Amirali Abdullah , Alexandr Andoni , Ravindran Kannan , Robert Krauthgamer

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