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Approximate nearest neighbor search (ANN) is a common way to retrieve relevant search results, especially now in the context of large language models and retrieval augmented generation. One of the most widely used algorithms for ANN is…

Data Structures and Algorithms · Computer Science 2025-12-23 Nina Mishra , Yonatan Naamad , Tal Wagner , Lichen Zhang

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

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

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

Approximate Nearest Neighbor (ANN) search has become fundamental to modern AI infrastructure, powering recommendation systems, search engines, and large language models across industry leaders from Google to OpenAI. Hierarchical Navigable…

Information Retrieval · Computer Science 2026-02-26 Ganap Ashit Tewary , Nrusinga Charan Gantayat , Jeff Zhang

We present a new approach for the approximate K-nearest neighbor search based on navigable small world graphs with controllable hierarchy (Hierarchical NSW, HNSW). The proposed solution is fully graph-based, without any need for additional…

Data Structures and Algorithms · Computer Science 2018-08-16 Yu. A. Malkov , D. A. Yashunin

Driven by recent breakthrough advances in neural representation learning, approximate near-neighbor (ANN) search over vector embeddings has emerged as a critical computational workload. With the introduction of the seminal Hierarchical…

Machine Learning · Computer Science 2025-07-04 Blaise Munyampirwa , Vihan Lakshman , Benjamin Coleman

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 Search (ANNS) is the task of finding the database vector that is closest to a given query vector. Graph-based ANNS is the family of methods with the best balance of accuracy and speed for million-scale datasets.…

Information Retrieval · Computer Science 2023-11-01 Naoki Ono , Yusuke Matsui

Approximate Nearest Neighbor Search (ANNS) has recently gained significant attention due to its many applications, such as Retrieval-Augmented Generation. Such applications require ANNS algorithms that support dynamic data, so the ANNS…

Machine Learning · Computer Science 2025-12-09 Tomohiro Yamashita , Daichi Amagata , Yusuke Matsui

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

Machine Learning · Computer Science 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

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

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 search (ANNS) has become a quintessential algorithmic problem for various other foundational data tasks for AI workloads. Graph-based ANNS indexes have superb empirical trade-offs in indexing cost, query…

Databases · Computer Science 2025-07-31 Ziyu Zhang , Yuanhao Wei , Joshua Engels , Julian Shun

The graph-based index has been widely adopted to meet the demand for approximate nearest neighbor search (ANNS) for high-dimensional vectors. However, in dynamic scenarios involving frequent vector insertions and deletions, existing systems…

Databases · Computer Science 2025-03-19 Song Yu , Shengyuan Lin , Shufeng Gong , Yongqing Xie , Ruicheng Liu , Yijie Zhou , Ji Sun , Yanfeng Zhang , Guoliang Li , Ge Yu

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 nearest neighbor search (ANNS) is a key retrieval technique for vector database and many data center applications, such as person re-identification and recommendation systems. It is also fundamental to retrieval augmented…

Hardware Architecture · Computer Science 2024-05-30 Yitu Wang , Shiyu Li , Qilin Zheng , Linghao Song , Zongwang Li , Andrew Chang , Hai "Helen" Li , Yiran Chen

Approximate K-Nearest Neighbor Search (AKNNS) has now become ubiquitous in modern applications, for example, as a fast search procedure with two tower deep learning models. Graph-based methods for AKNNS in particular have received great…

Machine Learning · Computer Science 2022-06-24 Patrick H. Chen , Chang Wei-cheng , Yu Hsiang-fu , Inderjit S. Dhillon , Hsieh Cho-jui

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

Approximate nearest neighbor search (ANNS) is a fundamental problem in vector databases and AI infrastructures. Recent graph-based ANNS algorithms have achieved high search accuracy with practical efficiency. Despite the advancements, these…

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