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Space partitions of $\mathbb{R}^d$ underlie a vast and important class of fast nearest neighbor search (NNS) algorithms. Inspired by recent theoretical work on NNS for general metric spaces [Andoni, Naor, Nikolov, Razenshteyn, Waingarten…

Machine Learning · Computer Science 2020-09-30 Yihe Dong , Piotr Indyk , Ilya Razenshteyn , Tal Wagner

Approximate $k$-nearest neighbor (AKNN) search is a fundamental problem with wide applications. To reduce memory and accelerate search, vector quantization is widely adopted. However, existing quantization methods either rely on codebooks…

Databases · Computer Science 2026-02-04 Mingyu Yang , Liuchang Jing , Wentao Li , Wei Wang

Fast item ranking is an important task in recommender systems. In previous works, graph-based Approximate Nearest Neighbor (ANN) approaches have demonstrated good performance on item ranking tasks with generic searching/matching measures…

Information Retrieval · Computer Science 2022-11-02 Khoa Doan , Shulong Tan , Weijie Zhao , Ping Li

We show conditional hardness of Approximate Nearest Neighbor Search (ANN) under the $\ell_\infty$ norm with two simple reductions. Our first reduction shows that hardness of a special case of the Shortest Vector Problem (SVP), which…

Computational Complexity · Computer Science 2020-11-13 Young Kun Ko , Min Jae Song

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

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

The Nearest Neighbor Search (NNS) problem asks to design a data structure that preprocesses an $n$-point dataset $X$ lying in a metric space $\mathcal{M}$, so that given a query point $q \in \mathcal{M}$, one can quickly return a point of…

Data Structures and Algorithms · Computer Science 2026-03-24 Robert Krauthgamer , Nir Petruschka

This paper describes ANN-Benchmarks, a tool for evaluating the performance of in-memory approximate nearest neighbor algorithms. It provides a standard interface for measuring the performance and quality achieved by nearest neighbor…

Information Retrieval · Computer Science 2018-07-19 Martin Aumüller , Erik Bernhardsson , Alexander Faithfull

Neural architecture search (NAS) recently attracts much research attention because of its ability to identify better architectures than handcrafted ones. However, many NAS methods, which optimize the search process in a discrete search…

Machine Learning · Computer Science 2019-11-22 Quanming Yao , Ju Xu , Wei-Wei Tu , Zhanxing Zhu

Retrieval-augmented generation (RAG) improves the reliability of large language model (LLM) answers by integrating external knowledge. However, RAG increases the end-to-end inference time since looking for relevant documents from large…

Cross-encoder models, which jointly encode and score a query-item pair, are prohibitively expensive for direct k-nearest neighbor (k-NN) search. Consequently, k-NN search typically employs a fast approximate retrieval (e.g. using BM25 or…

Information Retrieval · Computer Science 2023-10-24 Nishant Yadav , Nicholas Monath , Manzil Zaheer , Andrew McCallum

Approximate Nearest Neighbor search is one of the keys to high-scale data retrieval performance in many applications. The work is a bridge between feature extraction and ANN indexing through fine-tuning a ResNet50 model with various ANN…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 MD Shaikh Rahman , Syed Maudud E Rabbi , Muhammad Mahbubur Rashid

Developing increasingly efficient and accurate algorithms for approximate nearest neighbor search is a paramount goal in modern information retrieval. A primary approach to addressing this question is clustering, which involves partitioning…

Information Retrieval · Computer Science 2024-12-10 Thomas Vecchiato

This paper introduces SOAR: Spilling with Orthogonality-Amplified Residuals, a novel data indexing technique for approximate nearest neighbor (ANN) search. SOAR extends upon previous approaches to ANN search, such as spill trees, that…

Machine Learning · Computer Science 2024-04-02 Philip Sun , David Simcha , Dave Dopson , Ruiqi Guo , Sanjiv Kumar

We present the first systematic investigation of graph reordering effects for graph-based Approximate Nearest Neighbor Search (ANNS) on a GPU. While graph-based ANNS has become the dominant paradigm for modern AI applications, recent…

Information Retrieval · Computer Science 2025-08-22 Yutaro Oguri , Mai Nishimura , Yusuke Matsui

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

Large-scale vector databases for approximate nearest neighbor (ANN) search typically store a quantized dataset in main memory for fast access, and full precision data on remote disk. State-of-the-art ANN quantization methods are highly…

Data Structures and Algorithms · Computer Science 2025-12-23 Ishaq Aden-Ali , Hakan Ferhatosmanoglu , Alexander Greaves-Tunnell , Nina Mishra , Tal Wagner

Approximate Nearest Neighbor Search (ANNS) is now widely used in various applications, ranging from information retrieval, question answering, and recommendation, to search for similar high-dimensional vectors. As the amount of vector data…

Information Retrieval · Computer Science 2024-10-21 Yuming Xu , Hengyu Liang , Jin Li , Shuotao Xu , Qi Chen , Qianxi Zhang , Cheng Li , Ziyue Yang , Fan Yang , Yuqing Yang , Peng Cheng , Mao Yang

This paper tackles the task of storing a large collection of vectors, such as visual descriptors, and of searching in it. To this end, we propose to approximate database vectors by constrained sparse coding, where possible atom weights are…

Computer Vision and Pattern Recognition · Computer Science 2016-08-12 Himalaya Jain , Patrick Pérez , Rémi Gribonval , Joaquin Zepeda , Hervé Jégou

Vector search powers transformers technology, but real-world use demands hybrid queries that combine vector similarity with attribute filters (e.g., "top document in category X, from 2023"). Current solutions trade off recall, speed, and…

Information Retrieval · Computer Science 2025-09-29 Alireza Heidari , Wei Zhang , Ying Xiong