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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

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

Graph-based approaches to nearest neighbor search are popular and powerful tools for handling large datasets in practice, but they have limited theoretical guarantees. We study the worst-case performance of recent graph-based approximate…

Data Structures and Algorithms · Computer Science 2023-10-31 Piotr Indyk , Haike Xu

In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we look at the graph obtained by connecting every pair of points…

Data Structures and Algorithms · Computer Science 2010-05-05 Rina Panigrahy , Kunal Talwar , Udi Wieder

We propose a simple algorithm that needs only a few data samples from a single graph for learning local routing policies that generalize across a rich class of geometric random graphs in Euclidean metric spaces. We thus solve the all-pairs…

Machine Learning · Computer Science 2025-09-09 Yung-Fu Chen , Sen Lin , Anish Arora

There has been significant recent interest in graph-based nearest neighbor search methods, many of which are centered on the construction of navigable graphs over high-dimensional point sets. A graph is navigable if we can successfully move…

Data Structures and Algorithms · Computer Science 2025-03-18 Haya Diwan , Jinrui Gou , Cameron Musco , Christopher Musco , Torsten Suel

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch

Graph neural networks (GNN) has been successfully applied to operate on the graph-structured data. Given a specific scenario, rich human expertise and tremendous laborious trials are usually required to identify a suitable GNN architecture.…

Machine Learning · Computer Science 2019-09-11 Kaixiong Zhou , Qingquan Song , Xiao Huang , Xia Hu

Graph neural networks (GNNs) are popular to use for classifying structured data in the context of machine learning. But surprisingly, they are rarely applied to regression problems. In this work, we adopt GNN for a classic but challenging…

Machine Learning · Computer Science 2021-02-16 Wenzhong Yan , Di Jin , Zhidi Lin , Feng Yin

Approximate nearest neighbor (ANN) search is a fundamental problem in many areas of data mining, machine learning and computer vision. The performance of traditional hierarchical structure (tree) based methods decreases as the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Cong Fu , Deng Cai

Nearest neighbor search and k-nearest neighbor graph construction are two fundamental issues arise from many disciplines such as multimedia information retrieval, data-mining and machine learning. They become more and more imminent given…

Information Retrieval · Computer Science 2020-09-18 Wan-Lei Zhao , Hui Wang , Chong-Wah Ngo

Nearest neighbor search is known as a challenging issue that has been studied for several decades. Recently, this issue becomes more and more imminent in viewing that the big data problem arises from various fields. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Wan-Lei Zhao , Jie Yang , Cheng-Hao Deng

Performing analytical tasks over graph data has become increasingly interesting due to the ubiquity and large availability of relational information. However, unlike images or sentences, there is no notion of sequence in networks. Nodes…

Neural and Evolutionary Computing · Computer Science 2020-10-28 Matheus Nunes , Gisele L. Pappa

We consider the problem of searching for a node on a labelled random graph according to a greedy algorithm that selects a route to the desired node using metric information on the graph. Motivated by peer-to-peer networks two types of…

Statistical Mechanics · Physics 2013-05-29 David Lancaster

Approximate Nearest neighbor search (ANNS) is fundamental and essential operation in applications from many domains, such as databases, machine learning, multimedia, and computer vision. Although many algorithms have been continuously…

Databases · Computer Science 2016-10-11 Wen Li , Ying Zhang , Yifang Sun , Wei Wang , Wenjie Zhang , Xuemin Lin

Graph neural networks (GNN) have recently emerged as a vehicle for applying deep network architectures to graph and relational data. However, given the increasing size of industrial datasets, in many practical situations the message passing…

Machine Learning · Computer Science 2021-11-16 Qingru Zhang , David Wipf , Quan Gan , Le Song

Recent years have witnessed the popularity of Graph Neural Networks (GNN) in various scenarios. To obtain optimal data-specific GNN architectures, researchers turn to neural architecture search (NAS) methods, which have made impressive…

Machine Learning · Computer Science 2020-09-08 Huan Zhao , Lanning Wei , Quanming Yao

In the $k$-nearest neighborhood model ($k$-NN), we are given a set of points $P$, and we shall answer queries $q$ by returning the $k$ nearest neighbors of $q$ in $P$ according to some metric. This concept is crucial in many areas of data…

Machine Learning · Computer Science 2018-12-03 Hendrik Fichtenberger , Dennis Rohde

Graph neural networks (GNNs) have been successfully applied to learning representation on graphs in many relational tasks. Recently, researchers study neural architecture search (NAS) to reduce the dependence of human expertise and explore…

Machine Learning · Computer Science 2021-09-06 Shaofei Cai , Liang Li , Xinzhe Han , Zheng-jun Zha , Qingming Huang

Recently similarity graphs became the leading paradigm for efficient nearest neighbor search, outperforming traditional tree-based and LSH-based methods. Similarity graphs perform the search via greedy routing: a query traverses the graph…

Machine Learning · Computer Science 2019-05-28 Dmitry Baranchuk , Dmitry Persiyanov , Anton Sinitsin , Artem Babenko