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Given a vector dataset $\mathcal{X}$ and a query vector $\vec{x}_q$, graph-based Approximate Nearest Neighbor Search (ANNS) aims to build a graph index $G$ and approximately return vectors with minimum distances to $\vec{x}_q$ by searching…

Information Retrieval · Computer Science 2023-12-01 Jiongkang Ni , Xiaoliang Xu , Yuxiang Wang , Can Li , Jiajie Yao , Shihai Xiao , Xuecang Zhang

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

Indices for approximate nearest neighbor search (ANNS) are a basic component for information retrieval and widely used in database, search, recommendation and RAG systems. In these scenarios, documents or other objects are inserted into and…

Information Retrieval · Computer Science 2025-02-20 Haike Xu , Magdalen Dobson Manohar , Philip A. Bernstein , Badrish Chandramouli , Richard Wen , Harsha Vardhan Simhadri

Approximate nearest neighbor (ANN) search is a fundamental problem in computer science for which in-memory graph-based methods, such as Hierarchical Navigable Small World (HNSW), perform exceptionally well. To scale beyond billions of…

Databases · Computer Science 2025-07-24 Manuel Widmoser , Daniel Kocher , Nikolaus Augsten

To achieve greater accuracy, hypergraph matching algorithms require exponential increases in computational resources. Recent kd-tree-based approximate nearest neighbor (ANN) methods, despite the sparsity of their compatibility tensor, still…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Qixuan Zheng , Ming Zhang , Hong Yan

Approximate Nearest Neighbor Search (ANNS) is a crucial operation in databases and artificial intelligence. While graph-based ANNS methods like HNSW and NSG excel in performance, they assume uniform query distribution. However, in…

Databases · Computer Science 2026-01-13 Yifan Zhu , Ruijie Zhao , Zhonggen Li , Baihua Zheng , Zhikun Zhang , Zhaoqiang Chen , Congcong Ge

Approximate Nearest Neighbor Search (ANNS) has become a fundamental component in many real-world applications. Among various ANNS algorithms, graph-based methods are state-of-the-art. However, ANNS often suffers from a significant drop in…

Databases · Computer Science 2025-10-28 Zhiyuan Hua , Qiji Mo , Zebin Yao , Lixiao Cui , Xiaoguang Liu , Gang Wang , Zijing Wei , Xinyu Liu , Tianxiao Tang , Shaozhi Liu , Lin Qu

Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we…

Machine Learning · Computer Science 2026-04-07 Nikita Gabdullin , Ilya Androsov

Approximate Nearest Neighbor Search with arbitrary filtering predicates (AFANNS) is essential for modern data applications, yet existing methods often incur substantial storage and computational costs. In this work, we introduce the Maximal…

Databases · Computer Science 2026-04-27 Xiaowei Ye , Rong-Hua Li , Guoren Wang , Kaiwen Xue , Daiyin Wang , Xubin Li

The in-memory algorithms for approximate nearest neighbor search (ANNS) have achieved great success for fast high-recall search, but are extremely expensive when handling very large scale database. Thus, there is an increasing request for…

Databases · Computer Science 2021-11-17 Qi Chen , Bing Zhao , Haidong Wang , Mingqin Li , Chuanjie Liu , Zengzhong Li , Mao Yang , Jingdong Wang

Near neighbor search (NNS) is a powerful abstraction for data access; however, data indexing is troublesome even for approximate indexes. For intrinsically high-dimensional data, high-quality fast searches demand either indexes with…

Data Structures and Algorithms · Computer Science 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

Approximate k-Nearest Neighbor (AKNN) search is widely used in vector databases. When vectors carry additional attributes (e.g., labels or numerical values), filtered AKNN search retrieves the nearest vectors to a query vector under…

Databases · Computer Science 2026-05-29 Wenxuan Xia , Mingyu Yang , Wentao Li , Wei Wang

Vector approximate nearest neighbor search (ANNS) underpins search engines, recommendation systems, and advertising services. Recent advances in ANNS indexes make CPU a cost-effective choice for serving million-scale, in-memory vector…

Information Retrieval · Computer Science 2026-05-12 Yuchen Huang , Baiteng Ma , Yiping Sun , Yang Shi , Xiao Chen , Xiaocheng Zhong , Zhiyong Wang , Yao Hu , Chuliang Weng

Bimodal data, such as image-text pairs, has become increasingly prevalent in the digital era. The Hybrid Vector Query (HVQ) is an effective approach for querying such data and has recently garnered considerable attention from researchers.…

Databases · Computer Science 2025-02-12 Ziqi Yin , Jianyang Gao , Pasquale Balsebre , Gao Cong , Cheng Long

Despite filtered nearest neighbor search being a fundamental task in modern vector search systems, the performance of existing algorithms is highly sensitive to query selectivity and filter type. In particular, existing solutions excel…

Information Retrieval · Computer Science 2026-02-12 Haike Xu , Guy Blelloch , Laxman Dhulipala , Lars Gottesbüren , Rajesh Jayaram , Jakub Łącki

Nearest neighbor search is a very active field in machine learning for it appears in many application cases, including classification and object retrieval. In its canonical version, the complexity of the search is linear with both the…

Machine Learning · Computer Science 2017-07-06 Vincent Gripon , Matthias Löwe , Franck Vermet

Approximate nearest-neighbor search (ANNS) algorithms are a key part of the modern deep learning stack due to enabling efficient similarity search over high-dimensional vector space representations (i.e., embeddings) of data. Among various…

Information Retrieval · Computer Science 2024-02-09 Magdalen Dobson Manohar , Zheqi Shen , Guy E. Blelloch , Laxman Dhulipala , Yan Gu , Harsha Vardhan Simhadri , Yihan Sun

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

Approximate nearest neighbor search (ANNS) is an essential building block for applications like RAG but can sometimes yield results that are overly similar to each other. In certain scenarios, search results should be similar to the query…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Yusuke Matsui

As artificial intelligence gains more and more popularity, vectors are one of the most widely used data structures for services such as information retrieval and recommendation. Approximate Nearest Neighbor Search (ANNS), which generally…

Databases · Computer Science 2026-02-03 Yuhui Lai , Shixun Huang , Sheng Wang
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