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High-performance implementations of $k$-Nearest Neighbor Search ($k$NN) in low dimensions use tree-based data structures. Tree algorithms are hard to parallelize on GPUs due to their irregularity. However, newer Nvidia GPUs offer hardware…

Graphics · Computer Science 2024-04-23 Durga Mandarapu , Vani Nagarajan , Artem Pelenitsyn , Milind Kulkarni

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

In embedding-based retrieval, Approximate Nearest Neighbor (ANN) search enables efficient retrieval of similar items from large-scale datasets. While maximizing recall of relevant items is usually the goal of retrieval systems, a low…

Information Retrieval · Computer Science 2024-08-12 Nicholas Rossi , Juexin Lin , Feng Liu , Zhen Yang , Tony Lee , Alessandro Magnani , Ciya Liao

$k$ Nearest Neighbors ($k$NN) is one of the most widely used supervised learning algorithms to classify Gaussian distributed data, but it does not achieve good results when it is applied to nonlinear manifold distributed data, especially…

Machine Learning · Computer Science 2016-06-06 Enmei Tu , Yaqian Zhang , Lin Zhu , Jie Yang , Nikola Kasabov

Vector search has emerged as the foundation for large-scale information retrieval and machine learning systems, with search engines like Google and Bing processing tens of thousands of queries per second on petabyte-scale document datasets…

k is the most important parameter in a text categorization system based on k-Nearest Neighbor algorithm (kNN).In the classification process, k nearest documents to the test one in the training set are determined firstly. Then, the…

Computation and Language · Computer Science 2007-05-23 Baoli Li , Shiwen Yu , Qin Lu

Approximate nearest neighbor search (ANN) data structures have widespread applications in machine learning, computational biology, and text processing. The goal of ANN is to preprocess a set S so that, given a query q, we can find a point y…

Data Structures and Algorithms · Computer Science 2024-07-03 Samuel McCauley

Feature upsampling is a fundamental and indispensable ingredient of almost all current network structures for dense prediction tasks. Recently, a popular similarity-based feature upsampling pipeline has been proposed, which utilizes a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Minghao Zhou , Hong Wang , Yefeng Zheng , Deyu Meng

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

We propose a new algorithm for fast approximate nearest neighbor search based on the properties of ordered vectors. Data vectors are classified based on the index and sign of their largest components, thereby partitioning the space in a…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Luisa Verdoliva , Davide Cozzolino , Giovanni Poggi

A k nearest neighbor (kNN) query on road networks retrieves the k closest points of interest (POIs) by their network distances from a given location. Today, in the era of ubiquitous mobile computing, this is a highly pertinent query. While…

Data Structures and Algorithms · Computer Science 2016-08-11 Tenindra Abeywickrama , Muhammad Aamir Cheema , David Taniar

State-of-the-art algorithms for Approximate Nearest Neighbor Search (ANNS) such as DiskANN, FAISS-IVF, and HNSW build data dependent indices that offer substantially better accuracy and search efficiency over data-agnostic indices by…

Machine Learning · Computer Science 2022-12-01 Shikhar Jaiswal , Ravishankar Krishnaswamy , Ankit Garg , Harsha Vardhan Simhadri , Sheshansh Agrawal

As research interest surges, vector similarity search is applied in multiple fields, including data mining, computer vision, and information retrieval. {Given a set of objects (e.g., a set of images) and a query object, we can easily…

Databases · Computer Science 2022-03-28 Mengzhao Wang , Lingwei Lv , Xiaoliang Xu , Yuxiang Wang , Qiang Yue , Jiongkang Ni

We propose a family of very efficient hierarchical indexing schemes for ungapped, score matrix-based similarity search in large datasets of short (4-12 amino acid) protein fragments. This type of similarity search has importance in both…

Data Structures and Algorithms · Computer Science 2007-09-04 Aleksandar Stojmirovic , Vladimir Pestov

The increase in the dimensionality of neural embedding models has enhanced the accuracy of semantic search capabilities but also amplified the computational demands for Approximate Nearest Neighbor Searches (ANNS). This complexity poses…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Jingjia Luo , Mingxing Zhang , Kang Chen , Xia Liao , Yingdi Shan , Jinlei Jiang , Yongwei Wu

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

A common problem appearing across the field of data science is $k$-NN ($k$-nearest neighbours), particularly within the context of Geographic Information Systems. In this article, we present a novel data structure, the GeoTree, which holds…

Data Structures and Algorithms · Computer Science 2020-08-06 Robert Miller , Phil Maguire

Most natural language processing tasks can be formulated as the approximated nearest neighbor search problem, such as word analogy, document similarity, machine translation. Take the question-answering task as an example, given a question…

Artificial Intelligence · Computer Science 2017-08-28 Jing Wang

Approximate nearest neighbor search (ANNS) has become vital to modern AI infrastructure, particularly in retrieval-augmented generation (RAG) applications. Numerous in-browser ANNS engines have emerged to seamlessly integrate with popular…

Information Retrieval · Computer Science 2025-07-03 Mugeng Liu , Siqi Zhong , Qi Yang , Yudong Han , Xuanzhe Liu , Yun Ma

The primary example of instance-based learning is the $k$-nearest neighbor rule (kNN), praised for its simplicity and the capacity to adapt to new unseen data and toss away old data. The main disadvantages often mentioned are the…

Machine Learning · Computer Science 2021-02-05 Ariana Talamantes , Edgar Chavez
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