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Proximity graphs (PG) have gained increasing popularity as the state-of-the-art solutions to $k$-approximate nearest neighbor ($k$-ANN) search on high-dimensional data, which serves as a fundamental function in various fields, e.g.,…

Databases · Computer Science 2025-02-18 Shuo Yang , Jiadong Xie , Yingfan Liu , Jeffrey Xu Yu , Xiyue Gao , Qianru Wang , Yanguo Peng , Jiangtao Cui

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

We present mycelium-index, a streaming approximate nearest neighbor (ANN) index for high-dimensional vector spaces, inspired by the adaptive growth patterns of biological mycelium. The system continuously adapts its topology through myelial…

Machine Learning · Computer Science 2026-04-14 Anton Pakhunov

High-dimensional vector similarity search (HVSS) is gaining prominence as a powerful tool for various data science and AI applications. As vector data scales up, in-memory indexes pose a significant challenge due to the substantial increase…

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

Hierarchical graph-based algorithms such as HNSW have achieved state-of-the-art performance for Approximate Nearest Neighbor (ANN) search in practice, yet they often lack theoretical guarantees on query time or recall due to their heavy use…

Data Structures and Algorithms · Computer Science 2025-05-26 Mohsen Dehghankar , Abolfazl Asudeh

Similarity search is a key to a variety of applications including content-based search for images and video, recommendation systems, data deduplication, natural language processing, computer vision, databases, computational biology, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-11 Vincent T. Lee , Amrita Mazumdar , Carlo C. del Mundo , Armin Alaghi , Luis Ceze , Mark Oskin

We present a theoretical and empirical analysis of the adaptive entry point selection for graph-based approximate nearest neighbor search (ANNS). We introduce novel concepts: $b\textit{-monotonic path}$ and $B\textit{-MSNET}$, which better…

Information Retrieval · Computer Science 2024-02-08 Yutaro Oguri , Yusuke Matsui

Neural architecture search (NAS) is a promising technique to design efficient and high-performance deep neural networks (DNNs). As the performance requirements of ML applications grow continuously, the hardware accelerators start playing a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Guihong Li , Sumit K. Mandal , Umit Y. Ogras , Radu Marculescu

ANNS for embedded vector representations of texts is commonly used in information retrieval, with two important information representations being sparse and dense vectors. While it has been shown that combining these representations…

Information Retrieval · Computer Science 2024-10-29 Haoyu Zhang , Jun Liu , Zhenhua Zhu , Shulin Zeng , Maojia Sheng , Tao Yang , Guohao Dai , Yu Wang

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

Nearest neighbor search (NNS) has a wide range of applications in information retrieval, computer vision, machine learning, databases, and other areas. Existing state-of-the-art algorithm for nearest neighbor search, Hierarchical Navigable…

Information Retrieval · Computer Science 2020-10-20 Ishita Doshi , Dhritiman Das , Ashish Bhutani , Rajeev Kumar , Rushi Bhatt , Niranjan Balasubramanian

Modern analytical pipelines routinely deploy multiple deep learning and retrieval models that rely on approximate nearest-neighbor (ANN) indexes to support efficient similarity-based search. While many state-of-the-art ANN-indexes are…

Information Retrieval · Computer Science 2025-07-30 Omar Shahbaz Khan , Gylfi Þór Guðmundsson , Björn Þór Jónsson

Approximate Nearest Neighbor Search (ANNS) has become fundamental to modern deep learning applications, having gained particular prominence through its integration into recent generative models that work with increasingly complex datasets…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-28 Yuntao Gui , Peiqi Yin , Xiao Yan , Chaorui Zhang , Weixi Zhang , James Cheng

Vector similarity search is an essential primitive in modern AI and ML applications. Most vector databases adopt graph-based approximate nearest neighbor (ANN) search algorithms, such as DiskANN (Subramanya et al., 2019), which have…

Data Structures and Algorithms · Computer Science 2026-02-10 Tian Zhang , Ashwin Padaki , Jiaming Liang , Zack Ives , Erik Waingarten

With the surging popularity of approximate near-neighbor search (ANNS), driven by advances in neural representation learning, the ability to serve queries accompanied by a set of constraints has become an area of intense interest. While the…

Information Retrieval · Computer Science 2023-08-30 Gaurav Gupta , Jonah Yi , Benjamin Coleman , Chen Luo , Vihan Lakshman , Anshumali Shrivastava

The data-driven computing paradigm initially introduced by Kirchdoerfer and Ortiz (2016) enables finite element computations in solid mechanics to be performed directly from material data sets, without an explicit material model. From a…

Computational Engineering, Finance, and Science · Computer Science 2021-05-19 Robert Eggersmann , Laurent Stainier , Michael Ortiz , Stefanie Reese

Managing large-scale vector datasets with disk-resident graph approximate nearest neighbor search (ANNS) systems incurs substantial storage overhead due to the co-location of vector data and auxiliary index metadata, which prevents the…

Databases · Computer Science 2026-05-18 Yuanming Ren , Juncheng Zhang , Yanjing Ren , Rui Yang , Di Wu , Patrick P. C. Lee

Kernel Density Estimation (KDE) is a nonparametric method for estimating the shape of a density function, given a set of samples from the distribution. Recently, locality-sensitive hashing, originally proposed as a tool for nearest neighbor…

Data Structures and Algorithms · Computer Science 2022-03-02 Matti Karppa , Martin Aumüller , Rasmus Pagh

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
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