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Nearest neighbor search plays a fundamental role in many disciplines such as multimedia information retrieval, data-mining, and machine learning. The graph-based search approaches show superior performance over other types of approaches in…

Information Retrieval · Computer Science 2022-04-05 Hui Wang , Yong Wang , Wan-Lei Zhao

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

Information theoretic quantities are extremely useful in discovering relationships between two or more data sets. One popular method---particularly for continuous systems---for estimating these quantities is the nearest neighbour…

Computation · Statistics 2017-10-19 Joshua Brown , Terry Bossomaier , Lionel Barnett

Nearest neighbor search supports important applications in many domains, such as database, machine learning, computer vision. Since the computational cost for accurate search is too high, the community turned to the research of approximate…

Information Retrieval · Computer Science 2022-01-11 Xiaobin Fan , Xiaoping Wang , Kai Lu , Lei Xue , Jinjing Zhao

We survey permutation-based methods for approximate k-nearest neighbor search. In these methods, every data point is represented by a ranked list of pivots sorted by the distance to this point. Such ranked lists are called permutations. The…

Machine Learning · Computer Science 2016-11-01 Bilegsaikhan Naidan , Leonid Boytsov , Eric Nyberg

We propose a new data-structure, the generalized randomized kd forest, or kgeraf, for approximate nearest neighbor searching in high dimensions. In particular, we introduce new randomization techniques to specify a set of independently…

Computational Geometry · Computer Science 2016-04-01 Yannis Avrithis , Ioannis Z. Emiris , Georgios Samaras

With the development of connected filters for the last decade, many algorithms have been proposed to compute the max-tree. Max-tree allows to compute the most advanced connected operators in a simple way. However, no fair comparison of…

Computer Vision and Pattern Recognition · Computer Science 2013-01-11 Edwin Carlinet , Thierry Géraud

Approximate Nearest Neighbor Search (ANNS) underpins many large-scale data mining and machine learning applications, with efficient retrieval increasingly hinging on GPU acceleration as dataset sizes grow. Although graph-based approaches…

Databases · Computer Science 2026-02-20 Yaowen Liu , Xuejia Chen , Anxin Tian , Haoyang Li , Qinbin Li , Xin Zhang , Alexander Zhou , Chen Jason Zhang , Qing Li , Lei Chen

KNN has the reputation to be the word simplest but efficient supervised learning algorithm used for either classification or regression. KNN prediction efficiency highly depends on the size of its training data but when this training data…

Machine Learning · Computer Science 2021-07-01 Jude Tchaye-Kondi , Yanlong Zhai , Liehuang Zhu

In this paper we present the first provable approximate nearest-neighbor (ANN) algorithms for Bregman divergences. Our first algorithm processes queries in O(log^d n) time using O(n log^d n) space and only uses general properties of the…

Computational Geometry · Computer Science 2013-09-17 Amirali Abdullah , John Moeller , Suresh Venkatasubramanian

We present a new approach to approximate nearest-neighbor queries in fixed dimension under a variety of non-Euclidean distances. We are given a set $S$ of $n$ points in $\mathbb{R}^d$, an approximation parameter $\varepsilon > 0$, and a…

Computational Geometry · Computer Science 2023-06-28 Ahmed Abdelkader , Sunil Arya , Guilherme D. da Fonseca , David M. Mount

Nearest Neighbors Algorithm is a Lazy Learning Algorithm, in which the algorithm tries to approximate the predictions with the help of similar existing vectors in the training dataset. The predictions made by the K-Nearest Neighbors…

Machine Learning · Computer Science 2018-11-14 Chandrasekaran Anirudh Bhardwaj , Megha Mishra , Kalyani Desikan

Approximate nearest neighbour (ANN) search is one of the most important problems in computer science fields such as data mining or computer vision. In this paper, we focus on ANN for high-dimensional binary vectors and we propose a simple…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Michal Komorowski , Tomasz Trzcinski

Nearest-neighbor search, which returns the nearest neighbor of a query point in a set of points, is an important and widely studied problem in many fields, and it has wide range of applications. In many of them, such as sensor databases,…

Computational Geometry · Computer Science 2016-06-02 Pankaj K. Agarwal , Boris Aronov , Sariel Har-Peled , Jeff M. Philips , Ke Yi , Wuzhou Zhang

Approximate K nearest neighbor (AKNN) search is a fundamental and challenging problem. We observe that in high-dimensional space, the time consumption of nearly all AKNN algorithms is dominated by that of the distance comparison operations…

Data Structures and Algorithms · Computer Science 2023-03-20 Jianyang Gao , Cheng Long

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

The nearest neighbor problem is defined as follows: Given a set $P$ of $n$ points in some metric space $(X,D)$, build a data structure that, given any point $q$, returns a point in $P$ that is closest to $q$ (its "nearest neighbor" in $P$).…

Data Structures and Algorithms · Computer Science 2018-06-27 Alexandr Andoni , Piotr Indyk , Ilya Razenshteyn

Bytewise approximate matching algorithms have in recent years shown significant promise in de- tecting files that are similar at the byte level. This is very useful for digital forensic investigators, who are regularly faced with the…

Cryptography and Security · Computer Science 2022-11-15 David Lillis , Frank Breitinger , Mark Scanlon

Machine Learning has attracted considerable attention throughout the past decade due to its potential to solve far-reaching tasks, such as image classification, object recognition, anomaly detection, and data forecasting. A standard…

Machine Learning · Computer Science 2022-02-09 Gustavo Henrique de Rosa , Mateus Roder , João Paulo Papa

Nearest neighbor search is a basic computational tool used extensively in almost research domains of computer science specially when dealing with large amount of data. However, the use of nearest neighbor search is restricted for the…

Social and Information Networks · Computer Science 2015-11-24 Suman Saha , S. P. Ghrera