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Locality Sensitive Filters are known for offering a quasi-linear space data structure with rigorous guarantees for the Approximate Near Neighbor search (ANN) problem. Building on Locality Sensitive Filters, we derive a simple data structure…

Data Structures and Algorithms · Computer Science 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

Filtered approximate nearest neighbor search (FANNS), an extension of approximate nearest neighbor search (ANNS) that incorporates scalar filters, has been widely applied to constrained retrieval of vector data. Despite its growing…

Databases · Computer Science 2025-05-13 Yanjun Lin , Kai Zhang , Zhenying He , Yinan Jing , X. Sean Wang

We present a geometric framework for filtered approximate nearest neighbor (ANN) search. Filtering a proximity graph by a metadata predicate produces a subgraph, a fiber, whose connectivity and geometry can differ sharply from the full…

Databases · Computer Science 2026-04-02 Thuong Dang

Both supervised and unsupervised machine learning algorithms have been used to learn partition-based index structures for approximate nearest neighbor (ANN) search. Existing supervised algorithms formulate the learning task as finding a…

Machine Learning · Computer Science 2022-10-14 Ville Hyvönen , Elias Jääsaari , Teemu Roos

This paper presents an efficient and scalable framework for Range Filtered Approximate Nearest Neighbors Search (RF-ANNS) over high-dimensional vectors associated with attribute values. Given a query vector $q$ and a range $[l, h]$, RF-ANNS…

Data Structures and Algorithms · Computer Science 2025-06-18 Anqi Liang , Pengcheng Zhang , Bin Yao , Zhongpu Chen , Yitong Song , Guangxu Cheng

Approximate Nearest Neighbour (ANN) search is a fundamental problem in information retrieval, underpinning large-scale applications in computer vision, natural language processing, and cross-modal search. Hashing-based methods provide an…

Information Retrieval · Computer Science 2025-10-07 Sean Moran

Sparse embeddings of data form an attractive class due to their inherent interpretability: Every dimension is tied to a term in some vocabulary, making it easy to visually decipher the latent space. Sparsity, however, poses unique…

Data Structures and Algorithms · Computer Science 2025-09-30 Sebastian Bruch , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

Computer Vision and Pattern Recognition · Computer Science 2019-06-20 Deng Cai

Approximate nearest neighbor (ANN) search is a key component in many modern machine learning pipelines; recent use cases include retrieval-augmented generation (RAG) and vector databases. Clustering-based ANN algorithms, that use score…

Machine Learning · Computer Science 2024-10-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

Approximate nearest neighbor (ANN) search is a widely applied technique in modern intelligent applications, such as recommendation systems and vector databases. Therefore, efficient and high-throughput execution of ANN search has become…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 Zihan Liu , Wentao Ni , Jingwen Leng , Yu Feng , Cong Guo , Quan Chen , Chao Li , Minyi Guo , Yuhao Zhu

Nearest Neighbor Search (NNS) has recently drawn a rapid increase of interest due to its core role in managing high-dimensional vector data in data science and AI applications. The interest is fueled by the success of neural embedding,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Zhen Peng , Minjia Zhang , Kai Li , Ruoming Jin , Bin Ren

Graph-based algorithms have demonstrated state-of-the-art performance in the nearest neighbor search (NN-Search) problem. These empirical successes urge the need for theoretical results that guarantee the search quality and efficiency of…

Machine Learning · Computer Science 2023-03-14 Anshumali Shrivastava , Zhao Song , Zhaozhuo Xu

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

Approximate Nearest Neighbor Search (ANNS) is a cornerstone algorithm for information retrieval, recommendation systems, and machine learning applications. While x86-based architectures have historically dominated this domain, the…

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

The in-memory approximate nearest neighbor search (ANNS) algorithms have achieved great success for fast high-recall query processing, but are extremely inefficient when handling hybrid queries with unstructured (i.e., feature vectors) and…

Databases · Computer Science 2022-07-19 Wei Wu , Junlin He , Yu Qiao , Guoheng Fu , Li Liu , Jin Yu

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

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch

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

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