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Approximate nearest neighbor search (ANN) is a common way to retrieve relevant search results, especially now in the context of large language models and retrieval augmented generation. One of the most widely used algorithms for ANN is…

Data Structures and Algorithms · Computer Science 2025-12-23 Nina Mishra , Yonatan Naamad , Tal Wagner , Lichen Zhang

In the era of cloud computing and AI, data owners outsource ubiquitous vectors to the cloud, which furnish approximate $k$-nearest neighbors ($k$-ANNS) services to users. To protect data privacy against the untrusted server,…

Databases · Computer Science 2025-08-15 Yingfan Liu , Yandi Zhang , Jiadong Xie , Hui Li , Jeffrey Xu Yu , Jiangtao Cui

The Reverse $k$-Nearest Neighbor (R$k$NN) query over moving objects on road networks seeks to find all moving objects that consider the specified query point as one of their $k$ nearest neighbors. In location based services, many users…

Databases · Computer Science 2025-12-30 Anbang Song , Ziqiang Yu , Wei Liu , Yating Xu , Mingjin Tao

Filtered approximate nearest neighbor search (ANNS) restricts the search to data objects whose attributes satisfy a given filter and retrieves the top-$K$ objects that are most semantically similar to the query object. Many graph-based ANNS…

Databases · Computer Science 2025-11-04 Tianming Wu , Dixin Tang

The problem of landmark recognition has achieved excellent results in small-scale datasets. When dealing with large-scale retrieval, issues that were irrelevant with small amount of data, quickly become fundamental for an efficient…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Federico Magliani , Tomaso Fontanini , Andrea Prati

Exact nearest neighbor search is a computationally intensive process, and even its simpler sibling -- vector retrieval -- can be computationally complex. This is exacerbated when retrieving vectors which have high-dimension $d$ relative to…

Computation and Language · Computer Science 2024-05-08 Richard Zhu

Efficient Nearest Neighbor (NN) search in high-dimensional spaces is a foundation of many multimedia retrieval systems. A common approach is to rely on Product Quantization, which allows the storage of large vector databases in memory and…

Computer Vision and Pattern Recognition · Computer Science 2019-11-18 Fabien André , Anne-Marie Kermarrec , Nicolas Le Scouarnec

Approximate nearest neighbor algorithms are used to speed up nearest neighbor search in a wide array of applications. However, current indexing methods feature several hyperparameters that need to be tuned to reach an acceptable…

Data Structures and Algorithms · Computer Science 2019-04-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

With the increasing popularity of graph-based learning, Graph Neural Networks (GNNs) win lots of attention from the research and industry field because of their high accuracy. However, existing GNNs suffer from high memory footprints (e.g.,…

Machine Learning · Computer Science 2020-09-17 Boyuan Feng , Yuke Wang , Xu Li , Shu Yang , Xueqiao Peng , Yufei Ding

We compare the performance of three nearest neighbor search algorithms: the Orchard, ball tree, and VP-tree algorithms. These algorithms are commonly used for nearest-neighbor searches and are known for their efficiency in large datasets.…

Data Structures and Algorithms · Computer Science 2023-07-12 Hanitriniala Malalatiana Rakotondrasoa , Martin Bucher , Ilya Sinayskiy

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

Machine Learning · Computer Science 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

Hybrid search, which jointly optimizes vector similarity and structured predicate filtering, has become a fundamental building block for modern AI-driven systems. While recent predicate-aware ANN indices improve filtering efficiency on…

Databases · Computer Science 2026-04-21 Xinkui Zhao , Hengxuan Lou , Yifan Zhang , Junjie Dai , Shuiguang Deng , Jianwei Yin

Vectors of data are at the heart of machine learning and data mining. Recently, vector quantization methods have shown great promise in reducing both the time and space costs of operating on vectors. We introduce a vector quantization…

Performance · Computer Science 2017-07-03 Davis W Blalock , John V Guttag

Vector quantization is a fundamental technique for compression and large-scale nearest neighbor search. For high-accuracy operating points, multi-codebook quantization associates data vectors with one element from each of multiple…

Machine Learning · Computer Science 2025-01-08 Théophane Vallaeys , Matthew Muckley , Jakob Verbeek , Matthijs Douze

In this paper, we present the Parallel Quantum Rapidly-Exploring Random Tree (Pq-RRT) algorithm, a parallel version of the Quantum Rapidly-Exploring Random Trees (q-RRT) algorithm. Parallel Quantum RRT is a parallel quantum algorithm…

Quantum Physics · Physics 2023-10-25 Paul Lathrop , Beth Boardman , Sonia Martínez

We adopt data structure in the form of cover trees and iteratively apply approximate nearest neighbour (ANN) searches for fast compressed sensing reconstruction of signals living on discrete smooth manifolds. Levering on the recent…

Machine Learning · Statistics 2018-09-13 Mohammad Golbabaee , Zhouye Chen , Yves Wiaux , Mike E. Davies

Approximate Nearest Neighbor Search (ANNS) in high-dimensional space is an essential operator in many online services, such as information retrieval and recommendation. Indices constructed by the state-of-the-art ANNS algorithms must be…

Databases · Computer Science 2025-10-21 Kun Yu , Jiabao Jin , Xiaoyao Zhong , Peng Cheng , Lei Chen , Zhitao Shen , Jingkuan Song , Hengtao Shen , Xuemin Lin

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

Machine learning with hierarchical quantum circuits, usually referred to as Quantum Convolutional Neural Networks (QCNNs), is a promising prospect for near-term quantum computing. The QCNN is a circuit model inspired by the architecture of…

Quantum Physics · Physics 2024-03-05 Matt Lourens , Ilya Sinayskiy , Daniel K. Park , Carsten Blank , Francesco Petruccione

Vector similarity search is a critical component of modern AI systems, but traditional CPU-based implementations face fundamental scalability bottlenecks for billion-scale corpora due to prohibitive computational overhead and memory…