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We introduce a novel self-supervised deep clustering approach tailored for unstructured data without requiring prior knowledge of the number of clusters, termed Adaptive Self-supervised Robust Clustering (ASRC). In particular, ASRC…

机器学习 · 计算机科学 2024-07-31 Chen-Lu Ding , Jiancan Wu , Wei Lin , Shiyang Shen , Xiang Wang , Yancheng Yuan

We study the problem of clustering nodes in a dynamic graph, where the connections between nodes and nodes' cluster memberships may change over time, e.g., due to community migration. We first propose a dynamic stochastic block model that…

机器学习 · 计算机科学 2021-06-24 Yuhang Yao , Carlee Joe-Wong

We present a probabilistic graphical model formulation for the graph clustering problem. This enables to locally represent uncertainty of image partitions by approximate marginal distributions in a mathematically substantiated way, and to…

计算机视觉与模式识别 · 计算机科学 2016-01-12 Jörg Hendrik Kappes , Paul Swoboda , Bogdan Savchynskyy , Tamir Hazan , Christoph Schnörr

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

机器学习 · 计算机科学 2023-11-07 Mengyuan Zhang , Kai Liu

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

机器学习 · 计算机科学 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

机器学习 · 计算机科学 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

Bike Sharing Systems (BSSs) are emerging as an innovative transportation service. Ensuring the proper functioning of a BSS is crucial given that these systems are committed to eradicating many of the current global concerns, by promoting…

机器学习 · 计算机科学 2022-01-04 Bárbara Tavares , Cláudia Soares , Manuel Marques

Mixtures of matrix Gaussian distributions provide a probabilistic framework for clustering continuous matrix-variate data, which are becoming increasingly prevalent in various fields. Despite its widespread adoption and successful…

统计计算 · 统计学 2023-07-21 Andrea Cappozzo , Alessandro Casa , Michael Fop

Spectral clustering techniques are valuable tools in signal processing and machine learning for partitioning complex data sets. The effectiveness of spectral clustering stems from constructing a non-linear embedding based on creating a…

机器学习 · 计算机科学 2021-02-02 Farhad Pourkamali-Anaraki

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

数值分析 · 数学 2024-12-24 Guy B. Oldaker , Maria Emelianenko

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

最优化与控制 · 数学 2019-04-10 Rui Zhang , Quanyan Zhu

Spectral clustering is a powerful method for finding structure in a dataset through the eigenvectors of a similarity matrix. It often outperforms traditional clustering algorithms such as $k$-means when the structure of the individual…

数值分析 · 数学 2019-04-26 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

We are interested in multilayer graph clustering, which aims at dividing the graph nodes into categories or communities. To do so, we propose to learn a clustering-friendly embedding of the graph nodes by solving an optimization problem…

机器学习 · 计算机科学 2021-03-31 Mireille El Gheche , Pascal Frossard

Spectral clustering is one of the most popular clustering approaches with the capability to handle some challenging clustering problems. Most spectral clustering methods provide a nonlinear map from the data manifold to a subspace. Only a…

计算机视觉与模式识别 · 计算机科学 2016-09-13 Yaoyi Li , Junxuan Chen , Hongtao Lu

Clustering analysis by nonnegative low-rank approximations has achieved remarkable progress in the past decade. However, most approximation approaches in this direction are still restricted to matrix factorization. We propose a new low-rank…

机器学习 · 计算机科学 2012-06-22 Zhirong Yang , Erkki Oja

Graph Neural Networks often struggle with long-range information propagation and in the presence of heterophilous neighborhoods. We address both challenges with a unified framework that incorporates a clustering inductive bias into the…

机器学习 · 计算机科学 2024-05-28 Yanfei Dong , Mohammed Haroon Dupty , Lambert Deng , Zhuanghua Liu , Yong Liang Goh , Wee Sun Lee

Multisource data has spurred the development of advanced clustering algorithms, such as multi-view clustering, which critically relies on constructing similarity matrices. Traditional algorithms typically generate these matrices from sample…

机器学习 · 计算机科学 2024-10-30 Xuetong Li , Xiao-Dong Zhang

As it has become common to use many computer cores in routine applications, finding good ways to parallelize popular algorithms has become increasingly important. In this paper, we present a parallelization scheme for Markov chain Monte…

统计方法学 · 统计学 2016-06-01 Guillaume W. Basse , Natesh S. Pillai , Aaron Smith

Graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. Despite achieving significant progress in exploiting both attributed and structured data information, graph clustering…

机器学习 · 计算机科学 2025-01-03 Rui Zhang , Xiaoyang Hou , Zhihua Tian , Yan he , Enchao Gong , Jian Liu , Qingbiao Wu , Kui Ren

We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (GLRAM) and cluster analysis. It exploits a more general form…

最优化与控制 · 数学 2025-02-21 Yujun Zhu , Jie Zhu , Hizba Arshad , Zhongming Wang , Ju Ming