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Evolutionary multi-objective clustering (EMOC), a modern clustering technique, has been widely applied to extract patterns, allowing us to analyze different aspects of complex data by considering multiple criteria. In this article, we…

Machine Learning · Computer Science 2022-04-04 Cristina Y. Morimoto , Aurora Pozo , Marcílio C. P. de Souto

Temporal data, obtained in the setting where it is only possible to observe one time point per experiment, is widely used in different research fields, yet remains insufficiently addressed from the statistical point of view. Such data often…

Methodology · Statistics 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

Roughly speaking, clustering evolving networks aims at detecting structurally dense subgroups in networks that evolve over time. This implies that the subgroups we seek for also evolve, which results in many additional tasks compared to…

Social and Information Networks · Computer Science 2014-01-16 Tanja Hartmann , Andrea Kappes , Dorothea Wagner

Time series prediction with deep learning methods, especially long short-term memory neural networks (LSTMs), have scored significant achievements in recent years. Despite the fact that the LSTMs can help to capture long-term dependencies,…

Machine Learning · Computer Science 2018-11-12 Youru Li , Zhenfeng Zhu , Deqiang Kong , Hua Han , Yao Zhao

We are often interested in clustering objects that evolve over time and identifying solutions to the clustering problem for every time step. Evolutionary clustering provides insight into cluster evolution and temporal changes in cluster…

Machine Learning · Computer Science 2019-12-30 Natalia M. Arzeno , Haris Vikalo

Through Ecological Momentary Assessment (EMA) studies, a number of time-series data is collected across multiple individuals, continuously monitoring various items of emotional behavior. Such complex data is commonly analyzed in an…

Machine Learning · Computer Science 2023-10-12 Mandani Ntekouli , Gerasimos Spanakis , Lourens Waldorp , Anne Roefs

Most classification methods are based on the assumption that data conforms to a stationary distribution. The machine learning domain currently suffers from a lack of classification techniques that are able to detect the occurrence of a…

Machine Learning · Statistics 2012-01-05 Alzennyr Da Silva , Yves Lechevallier , Fabrice Rossi , Francisco De A. T. De Carvahlo

The problem of organizing data that evolves over time into clusters is encountered in a number of practical settings. We introduce evolutionary subspace clustering, a method whose objective is to cluster a collection of evolving data points…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Abolfazl Hashemi , Haris Vikalo

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

We present an algebraic approach to evolutionary accumulation modelling (EvAM). EvAM is concerned with learning and predicting the order in which evolutionary features accumulate over time. Our approach is complementary to the more common…

Applications · Statistics 2026-04-29 Jessica Renz , Frederik Witt , Iain G. Johnston

This paper introduces the multivariate beta mixture model (MBMM), a new probabilistic model for soft clustering. MBMM adapts to diverse cluster shapes because of the flexible probability density function of the multivariate beta…

Machine Learning · Computer Science 2024-02-22 Yung-Peng Hsu , Hung-Hsuan Chen

A probabilistic model for random hypergraphs is introduced to represent unary, binary and higher order interactions among objects in real-world problems. This model is an extension of the Latent Class Analysis model, which captures…

Methodology · Statistics 2018-08-16 Tin Lok James Ng , Thomas Brendan Murphy

Recent interest in human dynamics has stimulated the investigation of the stochastic processes that explain human behaviour in various contexts, such as mobile phone networks and social media. In this paper, we extend the stochastic…

Physics and Society · Physics 2016-03-23 Trevor Fenner , Mark Levene , George Loizou

Description of temporal networks and detection of dynamic communities have been hot topics of research for the last decade. However, no consensual answers to these challenges have been found due to the complexity of the task. Static…

Social and Information Networks · Computer Science 2020-12-03 Jordan Cambe , Sebastian Grauwin , Patrick Flandrin , Pablo Jensen

Modern scientific studies often collect data sets in the forms of tensors, which call for innovative statistical analysis methods. In particular, there is a pressing need for tensor clustering methods to understand the heterogeneity in the…

Methodology · Statistics 2021-04-27 Qing Mai , Xin Zhang , Yuqing Pan , Kai Deng

In this paper we present a family of algorithms that can simultaneously align and cluster sets of multidimensional curves measured on a discrete time grid. Our approach is based on a generative mixture model that allows non-linear time…

Applications · Statistics 2012-12-12 Darya Chudova , Scott Gaffney , Padhraic Smyth

We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to…

Methodology · Statistics 2024-10-15 Riccardo Corradin , Luca Danese , Wasiur R. KhudaBukhsh , Andrea Ongaro

A novel family of twelve mixture models with random covariates, nested in the linear $t$ cluster-weighted model (CWM), is introduced for model-based clustering. The linear $t$ CWM was recently presented as a robust alternative to the better…

Computation · Statistics 2015-03-10 Salvatore Ingrassia , Simona C. Minotti , Antonio Punzo

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

The hidden Markov model (HMM) is a generative model that treats sequential data under the assumption that each observation is conditioned on the state of a discrete hidden variable that evolves in time as a Markov chain. In this paper, we…

Artificial Intelligence · Computer Science 2011-09-07 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet