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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 (AKNN) algorithms play a pivotal role in various AI applications, including information retrieval, computer vision, and natural language processing. Although numerous AKNN algorithms and benchmarks have been…

Databases · Computer Science 2024-07-01 Xianzhi Zeng , Zhuoyan Wu , Xinjing Hu , Xuanhua Shi , Shixuan Sun , Shuhao Zhang

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…

Graph Neural Networks (GNNs) have been popularly used for analyzing non-Euclidean data such as social network data and biological data. Despite their success, the design of graph neural networks requires a lot of manual work and domain…

Machine Learning · Computer Science 2020-11-03 Yang Gao , Hong Yang , Peng Zhang , Chuan Zhou , Yue Hu

Similarity search is a fundamental building block for information retrieval on a variety of datasets. The notion of a neighbor is often based on binary considerations, such as the k nearest neighbors. However, considering that data is often…

Information Retrieval · Computer Science 2022-08-23 Cole Foster , Berk Sevilmis , Benjamin Kimia

k-nearest neighbor graph is a fundamental data structure in many disciplines such as information retrieval, data-mining, pattern recognition, and machine learning, etc. In the literature, considerable research has been focusing on how to…

Information Retrieval · Computer Science 2021-07-30 Wan-Lei Zhao , Hui Wang , Peng-Cheng Lin , Chong-Wah Ngo

Graph neural architecture search has received a lot of attention as Graph Neural Networks (GNNs) has been successfully applied on the non-Euclidean data recently. However, exploring all possible GNNs architectures in the huge search space…

Machine Learning · Computer Science 2021-12-08 Jiamin Chen , Jianliang Gao , Yibo Chen , Oloulade Babatounde Moctard , Tengfei Lyu , Zhao Li

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

Approximate Nearest Neighbor Search (ANNS) is a crucial operation in databases and artificial intelligence. While graph-based ANNS methods like HNSW and NSG excel in performance, they assume uniform query distribution. However, in…

Databases · Computer Science 2026-01-13 Yifan Zhu , Ruijie Zhao , Zhonggen Li , Baihua Zheng , Zhikun Zhang , Zhaoqiang Chen , Congcong Ge

Large-scale approximate nearest neighbor search (ANN) has been gaining attention along with the latest machine learning researches employing ANNs. If the data is too large to fit in memory, it is necessary to search for the most similar…

Machine Learning · Computer Science 2025-01-29 Taiga Ikeda , Daisuke Miyashita , Jun Deguchi

Finding the nearest subspace is a fundamental problem and influential to many applications. In particular, a scalable solution that is fast and accurate for a large problem has a great impact. The existing methods for the problem are,…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Masakazu Iwamura , Masataka Konishi , Koichi Kise

Relative Nearest Neighbor Descent (RNN-Descent) is a state-of-the-art algorithm for constructing sparse approximate nearest neighbor (ANN) graphs by combining the iterative refinement of NN-Descent with the edge-pruning rules of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-06 Xiang Li , Qiong Chang , Yun Li , Jun Miyazaki

Approximate nearest neighbour (ANN) search has become a central task in modern data-intensive applications, particularly when operating on large, heterogeneous, or high-dimensional datasets. However, many existing ANN methods struggle in…

Information Retrieval · Computer Science 2026-01-15 Elena Garcia-Morato , Maria Jesus Algar , Cesar Alfaro , Felipe Ortega , Javier Gomez , Javier M. Moguerza

We initiate the study of approximation algorithms and computational barriers for constructing sparse $\alpha$-navigable graphs [IX23, DGM+24], a core primitive underlying recent advances in graph-based nearest neighbor search. Given an…

Data Structures and Algorithms · Computer Science 2025-07-21 Sanjeev Khanna , Ashwin Padaki , Erik Waingarten

Many distributed learning techniques have been motivated by the increasing size of datasets and their inability to fit into main memory on a single machine. We propose an algorithm that finds the nearest neighbor in a graph locally without…

Data Structures and Algorithms · Computer Science 2019-02-18 Abhinav Mishra

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

The k-nearest neighbors (kNN) algorithm is a cornerstone of non-parametric classification in artificial intelligence, yet its deployment in large-scale applications is persistently constrained by the computational trade-off between…

Machine Learning · Computer Science 2026-01-26 Jiaye Li , Gang Chen , Hang Xu , Shichao Zhang

Population-based search algorithms (PBSAs), including swarm intelligence algorithms (SIAs) and evolutionary algorithms (EAs), are competitive alternatives for solving complex optimization problems and they have been widely applied to…

Neural and Evolutionary Computing · Computer Science 2015-10-20 Guohua Wu

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

Despite the broad range of algorithms for Approximate Nearest Neighbor Search, most empirical evaluations of algorithms have focused on smaller datasets, typically of 1 million points~\citep{Benchmark}. However, deploying recent advances in…