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Approximate Nearest Neighbor Search (ANNS) plays a critical role in various disciplines spanning data mining and artificial intelligence, from information retrieval and computer vision to natural language processing and recommender systems.…

Data Structures and Algorithms · Computer Science 2024-07-10 Hiroyuki Ootomo , Akira Naruse , Corey Nolet , Ray Wang , Tamas Feher , Yong Wang

Approximate nearest neighbor search (ANNS) is a fundamental problem in databases and data mining. A scalable ANNS algorithm should be both memory-efficient and fast. Some early graph-based approaches have shown attractive theoretical…

Machine Learning · Computer Science 2025-07-08 Cong Fu , Chao Xiang , Changxu Wang , Deng Cai

Indexing is an effective way to support efficient query processing in large databases. Recently the concept of learned index, which replaces or complements traditional index structures with machine learning models, has been actively…

Databases · Computer Science 2022-08-01 Yao Tian , Tingyun Yan , Xi Zhao , Kai Huang , Xiaofang Zhou

Motivated by applications in computer vision and databases, we introduce and study the Simultaneous Nearest Neighbor Search (SNN) problem. Given a set of data points, the goal of SNN is to design a data structure that, given a collection of…

Data Structures and Algorithms · Computer Science 2016-04-11 Piotr Indyk , Robert Kleinberg , Sepideh Mahabadi , Yang Yuan

Maximum Inner Product Search (MIPS) for high-dimensional vectors is pivotal across databases, information retrieval, and artificial intelligence. Existing methods either reduce MIPS to Nearest Neighbor Search (NNS) while suffering from…

Databases · Computer Science 2025-07-24 Tingyang Chen , Cong Fu , Kun Wang , Xiangyu Ke , Yunjun Gao , Wenchao Zhou , Yabo Ni , Anxiang Zeng

Among many solutions to the high-dimensional approximate nearest neighbor (ANN) search problem, locality sensitive hashing (LSH) is known for its sub-linear query time and robust theoretical guarantee on query accuracy. Traditional LSH…

Databases · Computer Science 2022-07-21 Yao Tian , Xi Zhao , Xiaofang Zhou

Approximate K Nearest Neighbor (AKNN) algorithms play a pivotal role in various AI applications, including information retrieval, computer vision, and natural language processing. Although numerous AKNN algorithms and benchmarks have been…

Databases · Computer Science 2024-07-01 Xianzhi Zeng , Zhuoyan Wu , Xinjing Hu , Xuanhua Shi , Shixuan Sun , Shuhao Zhang

Search engines and recommendation systems are built to efficiently display relevant information from those massive amounts of candidates. Typically a three-stage mechanism is employed in those systems: (i) a small collection of items are…

Information Retrieval · Computer Science 2022-11-09 Weijie Zhao , Shulong Tan , Ping Li

We propose a quantization based approach for fast approximate Maximum Inner Product Search (MIPS). Each database vector is quantized in multiple subspaces via a set of codebooks, learned directly by minimizing the inner product quantization…

Artificial Intelligence · Computer Science 2015-09-07 Ruiqi Guo , Sanjiv Kumar , Krzysztof Choromanski , David Simcha

Approximate $k$ nearest neighbor (AKNN) search in high-dimensional space is a foundational problem in vector databases with widespread applications. Among the numerous AKNN indexes, Proximity Graph-based indexes achieve state-of-the-art…

Databases · Computer Science 2026-02-20 Liuchang Jing , Mingyu Yang , Lei Li , Jianbin Qin , Wei Wang

Embedding vectors are widely used for representing unstructured data and searching through it for semantically similar items. However, the large size of these vectors, due to their high-dimensionality, creates problems for modern vector…

Machine Learning · Computer Science 2025-09-24 Mariano Tepper , Ted Willke

Approximate $k$-nearest neighbor search (A$k$-NNS) is a core operation in vector databases, underpinning applications such as retrieval-augmented generation (RAG) and image retrieval. In these scenarios, users often prefer diverse result…

Databases · Computer Science 2025-11-03 Jiachen Zhao , Xiao Yan , Eric Lo

Template matching is a fundamental problem in computer vision with applications in fields including object detection, image registration, and object tracking. Current methods rely on nearest-neighbour (NN) matching, where the query feature…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Ankit Gupta , Ida-Maria Sintorn

Approximate Nearest Neighbor Search (ANNS) in high-dimensional Euclidean spaces is a fundamental problem with broad applications. Subspace Collision is a newly proposed ANNS framework that provides a novel paradigm for similarity search and…

Databases · Computer Science 2026-03-27 Jiuqi Wei , Zhenyu Liao , Ruoyu Han , Quanqing Xu , Chuanhui Yang , Themis Palpanas

The Approximate Near Neighbor (ANN) problem is a cornerstone in high-dimensional data analysis, with applications ranging from information retrieval to data mining. Among the most successful paradigms for solving ANN in high-dimensional…

Data Structures and Algorithms · Computer Science 2026-04-28 Luca Becchetti , Andrea Clementi , Luciano Gualà , Emanuele Natale , Luca Pepè Sciarria , Alessandro Straziota

Deep Neural Networks (DNNs) have achieved significant advances in a wide range of applications. However, their deployment on resource-constrained devices remains a challenge due to the large number of layers and parameters, which result in…

Neural and Evolutionary Computing · Computer Science 2025-09-05 Sara Makenali , Babak Rokh , Ali Azarpeyvand

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 the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

Machine Learning · Computer Science 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. Given a set of points $S$ and a radius parameter $r>0$, the $r$-near neighbor ($r$-NN) problem asks for a data structure that, given…

Data Structures and Algorithms · Computer Science 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

Approximate Nearest Neighbor Search (ANNS) is the task of finding the database vector that is closest to a given query vector. Graph-based ANNS is the family of methods with the best balance of accuracy and speed for million-scale datasets.…

Information Retrieval · Computer Science 2023-11-01 Naoki Ono , Yusuke Matsui