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This paper presents an efficient and scalable framework for Range Filtered Approximate Nearest Neighbors Search (RF-ANNS) over high-dimensional vectors associated with attribute values. Given a query vector $q$ and a range $[l, h]$, RF-ANNS…

Data Structures and Algorithms · Computer Science 2025-06-18 Anqi Liang , Pengcheng Zhang , Bin Yao , Zhongpu Chen , Yitong Song , Guangxu Cheng

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

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

Approximate nearest neighbor (ANN) search in high-dimensional metric spaces is a fundamental problem with many applications. Over the past decade, proximity graph (PG)-based indexes have demonstrated superior empirical performance over…

Data Structures and Algorithms · Computer Science 2026-02-05 Binhong Li , Xiao Yan , Shangqi Lu

Approximate nearest neighbor (ANN) search in high-dimensional spaces is a foundational component of many modern retrieval and recommendation systems. Currently, almost all algorithms follow an $\epsilon$-Recall-Bounded principle when…

Information Retrieval · Computer Science 2025-11-24 Liming Xiang , Jing Feng , Ziqi Yin , Zijian Li , Daihao Xue , Hongchao Qin , Ronghua Li , Guoren Wang

State-of-the-art algorithms for Approximate Nearest Neighbor Search (ANNS) such as DiskANN, FAISS-IVF, and HNSW build data dependent indices that offer substantially better accuracy and search efficiency over data-agnostic indices by…

Machine Learning · Computer Science 2022-12-01 Shikhar Jaiswal , Ravishankar Krishnaswamy , Ankit Garg , Harsha Vardhan Simhadri , Sheshansh Agrawal

Advances in embedding models for text, image, audio, and video drive progress across multiple domains, including retrieval-augmented generation, recommendation systems, and others. Many of these applications require an efficient method to…

Databases · Computer Science 2026-04-02 Patrick Iff , Paul Bruegger , Marcin Chrapek , David Kochergin , Maciej Besta , Torsten Hoefler

For a given dataset $\mathcal{D}$ and structured label $f$, the goal of Filtered Approximate Nearest Neighbor Search (FANNS) algorithms is to find top-$k$ points closest to a query that satisfy label constraints, while ensuring both recall…

Databases · Computer Science 2025-09-10 Jiayang Shi , Yuzheng Cai , Weiguo Zheng

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

Vector search underpins modern AI applications by supporting approximate nearest neighbor (ANN) queries over high-dimensional embeddings in tasks like retrieval-augmented generation (RAG), recommendation systems, and multimodal search.…

Databases · Computer Science 2026-05-19 Shurui Zhong , Dingheng Mo , Siqiang Luo

Hybrid search, which jointly optimizes vector similarity and structured predicate filtering, has become a fundamental building block for modern AI-driven systems. While recent predicate-aware ANN indices improve filtering efficiency on…

Databases · Computer Science 2026-04-21 Xinkui Zhao , Hengxuan Lou , Yifan Zhang , Junjie Dai , Shuiguang Deng , Jianwei Yin

Recent years have witnessed the popularity and success of graph neural networks (GNN) in various scenarios. To obtain data-specific GNN architectures, researchers turn to neural architecture search (NAS), which has made impressive success…

Machine Learning · Computer Science 2021-04-21 Huan Zhao , Quanming Yao , Weiwei Tu

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

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

Storing and processing of embedding vectors by specialized Vector databases (VDBs) has become the linchpin in building modern AI pipelines. Most current VDBs employ variants of a graph-based ap- proximate nearest-neighbor (ANN) index…

Databases · Computer Science 2025-11-20 Selim Furkan Tekin , Rajesh Bordawekar

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) 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 (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

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

Nearest neighbor search is central in machine learning, information retrieval, and databases. For high-dimensional datasets, graph-based methods such as HNSW, DiskANN, and NSG have become popular thanks to their empirical accuracy and…

Information Retrieval · Computer Science 2025-05-22 Yousef Al-Jazzazi , Haya Diwan , Jinrui Gou , Cameron Musco , Christopher Musco , Torsten Suel
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