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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

Approximate near-neighbors search (\textsc{ANNS}) is a long-studied problem in computational geometry. %that has received considerable attention by researchers in the community. In this paper, we revisit the problem and propose the first…

Computational Geometry · Computer Science 2021-03-02 Majid Mirzanezhad

Approximate nearest neighbor (ANN) search is a fundamental problem in areas such as data management,information retrieval and machine learning. Recently, Li et al. proposed a learned approach named AdaptNN to support adaptive ANN query…

Databases · Computer Science 2021-10-05 Kaixiang Yang , Hongya Wang , Bo Xu , Wei Wang , Yingyuan Xiao , Ming Du , Junfeng Zhou

Approximate nearest neighbor search (ANNS) on GPUs is gaining increasing popularity for modern retrieval and recommendation workloads that operate over massive high-dimensional vectors. Graph-based indexes deliver high recall and throughput…

Databases · Computer Science 2026-03-02 Jifan Shi , Jianyang Gao , James Xia , Tamás Béla Fehér , Cheng Long

We study the Approximate Nearest Neighbor (ANN) problem under a powerful adaptive adversary that controls both the dataset and a sequence of $Q$ queries. Primarily, for the high-dimensional regime of $d = \omega(\sqrt{Q})$, we introduce a…

Data Structures and Algorithms · Computer Science 2026-01-05 Alexandr Andoni , Themistoklis Haris , Esty Kelman , Krzysztof Onak

Approximate nearest neighbor search under universal L_p metrics (ANNS-U-L_p) is an important and challenging research problem, as it requires answering queries under all possible p (0<p <= 2) values simultaneously without building an index…

Databases · Computer Science 2026-05-08 Huayi Wang , Jingfan Meng , Jun Xu

Performing analytical tasks over graph data has become increasingly interesting due to the ubiquity and large availability of relational information. However, unlike images or sentences, there is no notion of sequence in networks. Nodes…

Neural and Evolutionary Computing · Computer Science 2020-10-28 Matheus Nunes , Gisele L. Pappa

With the continuous popularity of deep learning and representation learning, fast vector search becomes a vital task in various ranking/retrieval based applications, say recommendation, ads ranking and question answering. Neural network…

Information Retrieval · Computer Science 2023-12-29 Weijie Zhao , Shulong Tan , Ping Li

Effective and efficient graph representation learning is essential for enabling critical downstream tasks, such as node classification, link prediction, and subgraph search. However, existing graph neural network (GNN) architectures often…

Machine Learning · Computer Science 2025-09-24 Sixuan Wang , Jiao Yin , Jinli Cao , MingJian Tang , Hua Wang , Yanchun Zhang

An effective and efficient architecture performance evaluation scheme is essential for the success of Neural Architecture Search (NAS). To save computational cost, most of existing NAS algorithms often train and evaluate intermediate neural…

Machine Learning · Computer Science 2021-09-27 Yixing Xu , Yunhe Wang , Kai Han , Yehui Tang , Shangling Jui , Chunjing Xu , Chang Xu

Embedding-based dense retrieval has become the cornerstone of many critical applications, where approximate nearest neighbor search (ANNS) queries are often combined with filters on labels such as dates and price ranges. Graph-based indexes…

Databases · Computer Science 2026-01-13 Yicheng Jin , Yongji Wu , Wenjun Hu , Bruce M. Maggs , Jun Yang , Xiao Zhang , Danyang Zhuo

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

The fastest indexes for Approximate Nearest Neighbor Search today are also the slowest to build: graph-based methods like HNSW and Vamana achieve state-of-the-art query performance but have large construction times due to relying on…

Databases · Computer Science 2026-05-26 Tobias Rubel , Richard Wen , Laxman Dhulipala , Lars Gottesbüren , Rajesh Jayaram , Jakub Łącki

A searcher is tasked with exploring a graph with edge lengths and vertex weights, starting from a designated vertex. Initially, only the starting vertex is considered explored. At each step, the searcher adds an edge to the solution,…

Data Structures and Algorithms · Computer Science 2025-05-13 Svenja M. Griesbach , Felix Hommelsheim , Max Klimm , Kevin Schewior

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

The 2023 Big ANN Challenge, held at NeurIPS 2023, focused on advancing the state-of-the-art in indexing data structures and search algorithms for practical variants of Approximate Nearest Neighbor (ANN) search that reflect the growing…

We propose a generic feature compression method for Approximate Nearest Neighbor Search (ANNS) problems, which speeds up existing ANNS methods in a plug-and-play manner. Specifically, based on transformer, we propose a new network structure…

Information Retrieval · Computer Science 2022-04-07 Haokui Zhang , Buzhou Tang , Wenze Hu , Xiaoyu Wang

Large-scale Nearest Neighbor (NN) search, though widely utilized in the similarity search field, remains challenged by the computational limitations inherent in processing large scale data. In an effort to decrease the computational expense…

Machine Learning · Computer Science 2026-04-24 Ashley N. Abraham , Andrew Strelzoff , Haley R. Dozier , Althea C. Henslee , Mark A. Chappell

Graph-based approaches are empirically shown to be very successful for the nearest neighbor search (NNS). However, there has been very little research on their theoretical guarantees. We fill this gap and rigorously analyze the performance…

Data Structures and Algorithms · Computer Science 2020-08-21 Liudmila Prokhorenkova , Aleksandr Shekhovtsov

Large Language Models (LLMs) face an inherent challenge: their knowledge is confined to the data that they have been trained on. To overcome this issue, Retrieval-Augmented Generation (RAG) complements the static training-derived knowledge…