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This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

We present a solution to the problem of understanding a system that produces a sequence of temporally ordered observations. Our solution is based on generating and interpreting a set of temporal decision rules. A temporal decision rule is a…

Machine Learning · Computer Science 2010-04-21 Kamran Karimi , Howard J. Hamilton

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

In many fields, researchers are interested in large and complex biological processes. Two important examples are gene expression and DNA methylation in genetics. One key problem is to identify aberrant patterns of these processes and…

Applications · Statistics 2012-10-03 Matthias Kormaksson , James G. Booth , Maria E. Figueroa , Ari Melnick

Classifying subsets based on spatial and temporal features is crucial to the analysis of spatiotemporal data given the inherent spatial and temporal variability. Since no single clustering algorithm ensures optimal results, researchers have…

Machine Learning · Computer Science 2024-09-20 Francis Ndikum Nji , Omar Faruque , Mostafa Cham , Janeja Vandana , Jianwu Wang

Techniques for clustering student behaviour offer many opportunities to improve educational outcomes by providing insight into student learning. However, one important aspect of student behaviour, namely its evolution over time, can often…

Machine Learning · Computer Science 2021-10-08 Jessica McBroom , Kalina Yacef , Irena Koprinska

Symbolic Data Analysis is based on special descriptions of data - symbolic objects (SO). Such descriptions preserve more detailed information about units and their clusters than the usual representations with mean values. A special kind of…

Machine Learning · Statistics 2020-10-27 Vladimir Batagelj , Nataša Kejžar , Simona Korenjak-Černe

We suggest a novel method of clustering and exploratory analysis of temporal event sequences data (also known as categorical time series) based on three-dimensional data grid models. A data set of temporal event sequences can be represented…

Databases · Computer Science 2015-05-07 Dominique Gay , Romain Guigourès , Marc Boullé , Fabrice Clérot

Policy-makers are often faced with the task of distributing a limited supply of resources. To support decision-making in these settings, statisticians are confronted with two challenges: estimands are defined by allocation strategies that…

Methodology · Statistics 2024-04-01 Aaron L. Sarvet , Julien D. Laurendeau , Mats J. Stensrud

In systems biomedicine, an experimenter encounters different potential sources of variation in data such as individual samples, multiple experimental conditions, and multi-variable network-level responses. In multiparametric cytometry,…

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

Applications · Statistics 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

Many diverse phenomena in nature often inherently encode both short- and long-term temporal dependencies, which especially result from the direction of the flow of time. In this respect, we discovered experimental evidence suggesting that…

Artificial Intelligence · Computer Science 2025-02-11 Kyung Geun Kim , Byeong Tak Lee

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge

A model based clustering procedure for data of mixed type, clustMD, is developed using a latent variable model. It is proposed that a latent variable, following a mixture of Gaussian distributions, generates the observed data of mixed type.…

Methodology · Statistics 2015-11-06 Damien McParland , Isobel Claire Gormley

Correlation clustering is perhaps the most natural formulation of clustering. Given $n$ objects and a pairwise similarity measure, the goal is to cluster the objects so that, to the best possible extent, similar objects are put in the same…

Data Structures and Algorithms · Computer Science 2013-12-19 Francesco Bonchi , David García-Soriano , Konstantin Kutzkov

Data of the form of event times arise in various applications. A simple model for such data is a non-homogeneous Poisson process (NHPP) which is specified by a rate function that depends on time. We consider the problem of having access to…

Machine Learning · Computer Science 2018-06-22 Duncan Barrack , Simon Preston

As high-dimensional and high-frequency data are being collected on a large scale, the development of new statistical models is being pushed forward. Functional data analysis provides the required statistical methods to deal with large-scale…

Statistics Theory · Mathematics 2020-07-08 Israel Martínez-Hernández , Marc G. Genton

Relational count data are often obtained from sources such as simultaneous purchase in online shops and social networking service information. Bi-clustering such relational count data reveals the latent structure of the relationship between…

Methodology · Statistics 2018-12-27 Satoshi Goto , Mariko Takagishi , Hiroshi Yadohisa