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We propose the DPSM method, a density-based node clustering approach that automatically determines the number of clusters and can be applied in both data space and graph space. Unlike traditional density-based clustering methods, which…

Machine Learning · Computer Science 2024-11-05 Feiping Nie , Yitao Song , Jingjing Xue , Rong Wang , Xuelong Li

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

Graph clustering is a fundamental and challenging task in the field of graph mining where the objective is to group the nodes into clusters taking into consideration the topology of the graph. It has several applications in diverse domains…

Machine Learning · Computer Science 2023-12-21 Aritra Bhowmick , Mert Kosan , Zexi Huang , Ambuj Singh , Sourav Medya

Subspace clustering has been extensively studied from the hypothesis-and-test, algebraic, and spectral clustering based perspectives. Most assume that only a single type/class of subspace is present. Generalizations to multiple types are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Xun Xu , Loong-Fah Cheong , Zhuwen Li

Modern network analysis often involves multi-layer network data in which the nodes are aligned, and the edges on each layer represent one of the multiple relations among the nodes. Current literature on multi-layer network data is mostly…

Statistics Theory · Mathematics 2024-06-18 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

This paper focuses on the sparse subspace clustering problem, and develops an online algorithmic solution to cluster data points on-the-fly, without revisiting the whole dataset. The strategy involves an online solution of a sparse…

Optimization and Control · Mathematics 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

Vertex clustering in a stochastic blockmodel graph has wide applicability and has been the subject of extensive research. In thispaper, we provide a short proof that the adjacency spectral embedding can be used to obtain perfect clustering…

Machine Learning · Statistics 2015-01-19 Vince Lyzinski , Daniel Sussman , Minh Tang , Avanti Athreya , Carey Priebe

Modern network datasets are often composed of multiple layers, either as different views, time-varying observations, or independent sample units, resulting in collections of networks over the same set of vertices but with potentially…

Statistics Theory · Mathematics 2025-06-05 Joshua Agterberg , Zachary Lubberts , Jesús Arroyo

Recently, there has been considerable research interest in graph clustering aimed at data partition using the graph information. However, one limitation of the most of graph-based methods is that they assume the graph structure to operate…

Social and Information Networks · Computer Science 2022-11-11 Yiming Wang , Dongxia Chang , Zhiqian Fu , Yao Zhao

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Given a collection of vertex-aligned networks and an additional label-shuffled network, we propose procedures for leveraging the signal in the vertex-aligned collection to recover the labels of the shuffled network. We consider matching the…

Machine Learning · Statistics 2023-03-31 Zhirui Li , Jesus Arroyo , Konstantinos Pantazis , Vince Lyzinski

Multiple datasets containing different types of features may be available for a given task. For instance, users' profiles can be used to group users for recommendation systems. In addition, a model can also use users' historical behaviors…

Machine Learning · Computer Science 2016-05-10 Weixiang Shao , Xiaoxiao Shi , Philip S. Yu

The process of aggregation is ubiquitous in almost all deep nets models. It functions as an important mechanism for consolidating deep features into a more compact representation, whilst increasing robustness to overfitting and providing…

Machine Learning · Computer Science 2021-07-12 Eng-Jon Ong , Sameed Husain , Miroslaw Bober

Convex optimization is an essential tool for modern data analysis, as it provides a framework to formulate and solve many problems in machine learning and data mining. However, general convex optimization solvers do not scale well, and…

Social and Information Networks · Computer Science 2015-07-02 David Hallac , Jure Leskovec , Stephen Boyd

Most existing personalized federated learning approaches are based on intricate designs, which often require complex implementation and tuning. In order to address this limitation, we propose a simple yet effective personalized federated…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Jiaqi Wang , Yuzhong Chen , Yuhang Wu , Mahashweta Das , Hao Yang , Fenglong Ma

In this paper, we propose an end-to-end deep learning network named 3dDepthNet, which produces an accurate dense depth image from a single pair of sparse LiDAR depth and color image for robotics and autonomous driving tasks. Based on the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Rui Xiang , Feng Zheng , Huapeng Su , Zhe Zhang

While there has been tremendous activity in the area of statistical network inference on graphs, hypergraphs have not enjoyed the same attention, on account of their relative complexity and the lack of tractable statistical models. We…

Methodology · Statistics 2025-04-15 Ga-Ming Angus Chan , Zachary Lubberts

Scene parsing from images is a fundamental yet challenging problem in visual content understanding. In this dense prediction task, the parsing model assigns every pixel to a categorical label, which requires the contextual information of…

Computer Vision and Pattern Recognition · Computer Science 2020-11-06 Litao Yu , Yongsheng Gao , Jun Zhou , Jian Zhang , Qiang Wu

Depth completion aims at predicting dense pixel-wise depth from an extremely sparse map captured from a depth sensor, e.g., LiDARs. It plays an essential role in various applications such as autonomous driving, 3D reconstruction, augmented…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Junjie Hu , Chenyu Bao , Mete Ozay , Chenyou Fan , Qing Gao , Honghai Liu , Tin Lun Lam

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

Machine Learning · Computer Science 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung