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We propose a node clustering method for time-varying graphs based on the assumption that the cluster labels are changed smoothly over time. Clustering is one of the fundamental tasks in many science and engineering fields including signal…

Machine Learning · Computer Science 2023-05-12 Katsuki Fukumoto , Koki Yamada , Yuichi Tanaka , Hoi-To Wai

Clinical time series data are critical for patient monitoring and predictive modeling. These time series are typically multivariate and often comprise hundreds of heterogeneous features from different data sources. The grouping of features…

Machine Learning · Computer Science 2025-11-12 Fedor Sergeev , Manuel Burger , Polina Leshetkina , Vincent Fortuin , Gunnar Rätsch , Rita Kuznetsova

The following working document summarizes our work on the clustering of financial time series. It was written for a workshop on information geometry and its application for image and signal processing. This workshop brought several experts…

Statistical Finance · Quantitative Finance 2016-03-28 Gautier Marti , Frank Nielsen , Philippe Donnat , Sébastien Andler

Clustering is viewed as an unsupervised technique, but in practice it requires guidance to uncover meaningful structures. We formalize this with guided clustering, a paradigm that uses a guiding variable to steer the discovery process, and…

Methodology · Statistics 2026-04-08 Violaine Courrier , Christophe Biernacki

Clustering is a fundamental task for analyzing unlabeled data based solely on its underlying distribution. Spectral clustering is a clustering method that represents a dataset as a graph and uses the relationships between data points.…

Quantum Physics · Physics 2025-04-01 Hyeong-Gyu Kim , Siheon Park , June-Koo Kevin Rhee

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

Graph clustering is a fundamental task which discovers communities or groups in networks. Recent studies have mostly focused on developing deep learning approaches to learn a compact graph embedding, upon which classic clustering methods…

Machine Learning · Computer Science 2019-06-18 Chun Wang , Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Chengqi Zhang

We present a new model-based integrative method for clustering objects given both vectorial data, which describes the feature of each object, and network data, which indicates the similarity of connected objects. The proposed general model…

Machine Learning · Statistics 2017-10-25 Yunchuan Kong , Xiaodan Fan

A wide variety of real-world data, such as sea measurements, e.g., temperatures collected by distributed sensors and multiple unmanned aerial vehicles (UAV) trajectories, can be naturally represented as graphs, often exhibiting…

Machine Learning · Computer Science 2025-11-11 Sivaram Krishnan , Jinho Choi , Jihong Park

Deep graph clustering has recently received significant attention due to its ability to enhance the representation learning capabilities of models in unsupervised scenarios. Nevertheless, deep clustering for temporal graphs, which could…

Machine Learning · Computer Science 2024-04-12 Meng Liu , Yue Liu , Ke Liang , Wenxuan Tu , Siwei Wang , Sihang Zhou , Xinwang Liu

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

Recent work in synthetic data generation in the time-series domain has focused on the use of Generative Adversarial Networks. We propose a novel architecture for synthetically generating time-series data with the use of Variational…

Machine Learning · Computer Science 2021-12-08 Abhyuday Desai , Cynthia Freeman , Zuhui Wang , Ian Beaver

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

This paper introduces an algorithm-agnostic approach to feature-based time series clustering via amortized neural inference. By training neural networks to approximate the optimal partitioning rule from simulated data, the proposed…

Machine Learning · Statistics 2026-05-14 Ángel López-Oriona , Ying Sun

Knowledge graph embedding, which aims to learn the low-dimensional representations of entities and relationships, has attracted considerable research efforts recently. However, most knowledge graph embedding methods focus on the structural…

Machine Learning · Computer Science 2020-07-23 Yonghui Xu , Shengjie Sun , Yuan Miao , Dong Yang , Xiaonan Meng , Yi Hu , Ke Wang , Hengjie Song , Chuanyan Miao

We study a variant of the variational autoencoder model (VAE) with a Gaussian mixture as a prior distribution, with the goal of performing unsupervised clustering through deep generative models. We observe that the known problem of…

We introduce MGP-VAE (Multi-disentangled-features Gaussian Processes Variational AutoEncoder), a variational autoencoder which uses Gaussian processes (GP) to model the latent space for the unsupervised learning of disentangled…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Sarthak Bhagat , Shagun Uppal , Zhuyun Yin , Nengli Lim

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

Machine Learning · Computer Science 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

We propose a novel graph clustering method guided by additional information on the underlying structure of the clusters (or communities). The problem is formulated as the matching of a graph to a template with smaller dimension, hence…

Machine Learning · Statistics 2021-07-06 Mateus Riva , Florian Yger , Pietro Gori , Roberto M. Cesar , Isabelle Bloch