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Graph Neural Networks (GNNs) have shown advantages in various graph-based applications. Most existing GNNs assume strong homophily of graph structure and apply permutation-invariant local aggregation of neighbors to learn a representation…

Machine Learning · Computer Science 2022-01-04 Tianmeng Yang , Yujing Wang , Zhihan Yue , Yaming Yang , Yunhai Tong , Jing Bai

The weighted k-nearest neighbors algorithm is one of the most fundamental non-parametric methods in pattern recognition and machine learning. The question of setting the optimal number of neighbors as well as the optimal weights has…

Machine Learning · Statistics 2017-01-26 Oren Anava , Kfir Y. Levy

Nonparametric learning is a fundamental concept in machine learning that aims to capture complex patterns and relationships in data without making strong assumptions about the underlying data distribution. Owing to simplicity and…

Machine Learning · Computer Science 2024-02-06 Amartya Banerjee , Christopher J. Hazard , Jacob Beel , Cade Mack , Jack Xia , Michael Resnick , Will Goddin

In the k-nearest neighbor algorithm (k-NN), the determination of classes for test instances is usually performed via a majority vote system, which may ignore the similarities among data. In this research, the researcher proposes an approach…

Machine Learning · Computer Science 2019-06-13 Jasper Kyle Catapang

This paper studies semi-supervised object classification in relational data, which is a fundamental problem in relational data modeling. The problem has been extensively studied in the literature of both statistical relational learning…

Machine Learning · Computer Science 2020-07-27 Meng Qu , Yoshua Bengio , Jian Tang

Nearest neighbor (k-NN) graphs are widely used in machine learning and data mining applications, and our aim is to better understand what they reveal about the cluster structure of the unknown underlying distribution of points. Moreover, is…

Machine Learning · Statistics 2011-05-06 Samory Kpotufe , Ulrike von Luxburg

Motivated by applications in computer vision and databases, we introduce and study the Simultaneous Nearest Neighbor Search (SNN) problem. Given a set of data points, the goal of SNN is to design a data structure that, given a collection of…

Data Structures and Algorithms · Computer Science 2016-04-11 Piotr Indyk , Robert Kleinberg , Sepideh Mahabadi , Yang Yuan

Computing $k$-Nearest Neighbors (KNN) is one of the core kernels used in many machine learning, data mining and scientific computing applications. Although kd-tree based $O(\log n)$ algorithms have been proposed for computing KNN, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Md. Mostofa Ali Patwary , Nadathur Rajagopalan Satish , Narayanan Sundaram , Jialin Liu , Peter Sadowski , Evan Racah , Suren Byna , Craig Tull , Wahid Bhimji , Prabhat , Pradeep Dubey

Nearest neighbor (NN) problem is an important scientific problem. The NN query, to find the closest one to a given query point among a set of points, is widely used in applications such as density estimation, pattern classification,…

Databases · Computer Science 2019-11-11 Yang Li , Gang Liu , Junbin Gao , Zhenwen He , Mingyuan Bai , Chengjun Li

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

The traditional k nearest neighbor (kNN) approach uses a distance formula within a spherical region to determine the k closest training observations to a test sample point. However, this approach may not work well when test point is located…

Machine Learning · Statistics 2024-02-19 Amjad Ali , Zardad Khan , Dost Muhammad Khan , Saeed Aldahmani

The nearest neighbor (NN) technique is very simple, highly efficient and effective in the field of pattern recognition, text categorization, object recognition etc. Its simplicity is its main advantage, but the disadvantages can't be…

Computer Vision and Pattern Recognition · Computer Science 2010-07-02 Nitin Bhatia , Vandana

The $K$-nearest neighbors is a basic problem in machine learning with numerous applications. In this problem, given a (training) set of $n$ data points with labels and a query point $p$, we want to assign a label to $p$ based on the labels…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-25 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

We propose AGS-GNN, a novel attribute-guided sampling algorithm for Graph Neural Networks (GNNs) that exploits node features and connectivity structure of a graph while simultaneously adapting for both homophily and heterophily in graphs.…

Machine Learning · Computer Science 2024-05-27 Siddhartha Shankar Das , S M Ferdous , Mahantesh M Halappanavar , Edoardo Serra , Alex Pothen

In this paper, we focus on developing a novel unsupervised machine learning algorithm, named graph based multi-layer k-means++ (G-MLKM), to solve data-target association problem when targets move on a constrained space and minimal…

Machine Learning · Computer Science 2020-09-22 Feng Tao , Rengan Suresh , Johnathan Votion , Yongcan Cao

Recommendation systems aim to provide personalized predictions by identifying items that are most appealing to individual users. Among various recommendation approaches, k-nearest-neighbor (kNN)-based collaborative filtering (CF) remains…

Information Retrieval · Computer Science 2025-12-16 Yongyu Wang

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

In this paper, we study the graph-based semi-supervised learning for classifying nodes in attributed networks, where the nodes and edges possess content information. Recent approaches like graph convolution networks and attention mechanisms…

Machine Learning · Computer Science 2024-03-14 Uchenna Akujuobi , Qiannan Zhang , Han Yufei , Xiangliang Zhang

Graph neural network (GNN)'s success in graph classification is closely related to the Weisfeiler-Lehman (1-WL) algorithm. By iteratively aggregating neighboring node features to a center node, both 1-WL and GNN obtain a node representation…

Machine Learning · Computer Science 2021-10-27 Muhan Zhang , Pan Li

The exponential growth of data has intensified the gap between the availability of unlabeled data and the high cost of manual annotation. Graph Neural Networks (GNNs) have emerged as a promising solution, as they exploit relational…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Rafael Mendonça Duarte , Jean Roberto Ponciano , Lucas Pascotti Valem