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Related papers: Clustering functional data using wavelets

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Clustering large high-dimensional datasets with diverse variable is essential for extracting high-level latent information from these datasets. Here, we developed an unsupervised clustering algorithm, we call "Village-Net". Village-Net is…

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

The task of clustering unlabeled time series and sequences entails a particular set of challenges, namely to adequately model temporal relations and variable sequence lengths. If these challenges are not properly handled, the resulting…

Machine Learning · Statistics 2019-02-19 Daniel J. Trosten , Andreas S. Strauman , Michael Kampffmeyer , Robert Jenssen

We propose a method, funWeightClust, based on a family of parsimonious models for clustering heterogeneous functional linear regression data. These models extend cluster weighted models to functional data, and they allow for multivariate…

Methodology · Statistics 2025-03-10 Cristina Anton , Iain Smith

In the analysis of binary longitudinal data, it is of interest to model a dynamic relationship between a response and covariates as a function of time, while also investigating similar patterns of time-dependent interactions. We present a…

Methodology · Statistics 2023-04-11 Jinwon Sohn , Seonghyun Jeong , Young Min Cho , Taeyoung Park

Classification of time series signals has become an important construct and has many practical applications. With existing classifiers we may be able to accurately classify signals, however that accuracy may decline if using a reduced…

Machine Learning · Statistics 2021-09-22 Paul Grant , Md Zahidul Islam

We present a novel probabilistic clustering model for objects that are represented via pairwise distances and observed at different time points. The proposed method utilizes the information given by adjacent time points to find the…

Machine Learning · Computer Science 2015-04-16 Julia E. Vogt , Marius Kloft , Stefan Stark , Sudhir S. Raman , Sandhya Prabhakaran , Volker Roth , Gunnar Rätsch

Identifying the number $K$ of clusters in a dataset is one of the most difficult problems in clustering analysis. A choice of $K$ that correctly characterizes the features of the data is essential for building meaningful clusters. In this…

Methodology · Statistics 2019-05-06 Adriano Zanin Zambom , Julian A. Collazos , Ronaldo Dias

Modelling and forecasting homogeneous age-specific mortality rates of multiple countries could lead to improvements in long-term forecasting. Data fed into joint models are often grouped according to nominal attributes, such as geographic…

Methodology · Statistics 2022-01-05 Chen Tang , Han Lin Shang , Yanrong Yang

Functional data analysis involves data described by regular functions rather than by a finite number of real valued variables. While some robust data analysis methods can be applied directly to the very high dimensional vectors obtained…

Machine Learning · Statistics 2012-01-06 Fabrice Rossi , Yves Lechevallier

In this paper, we propose a technique for time series clustering using community detection in complex networks. Firstly, we present a method to transform a set of time series into a network using different distance functions, where each…

Machine Learning · Statistics 2015-08-20 Leonardo N. Ferreira , Liang Zhao

Functional connectivity analysis yields powerful insights into our understanding of the human brain. Group-wise functional community detection aims to partition the brain into clusters, or communities, in which functional activity is…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Nathan D. Cahill , Harmeet Singh , Chao Zhang , Daryl A. Corcoran , Alison M. Prengaman , Paul S. Wenger , John F. Hamilton , Peter Bajorski , Andrew M. Michael

We introduce a new clustering method for the classification of functional data sets by their probabilistic law, that is, a procedure that aims to assign data sets to the same cluster if and only if the data were generated with the same…

Methodology · Statistics 2023-12-29 Antonio Galves , Fernando Najman , Marcela Svarc , Claudia D. Vargas

Clustering multivariate data is a pervasive task in many applied problems, particularly in social studies and life science. Model-based approaches to clustering rely on mixture models, where each mixture component corresponds to the kernel…

Methodology · Statistics 2026-01-22 Laura Ferrini , Federico Castelletti

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac mixture distribution. The density function can be smoothed…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

The widespread use of sensors in modern power grids has led to the accumulation of large amounts of voltage and current waveform data, especially during fault events. However, the lack of labeled datasets poses a significant challenge for…

Machine Learning · Computer Science 2025-05-26 Julian Oelhaf , Georg Kordowich , Andreas Maier , Johann Jager , Siming Bayer

Clustering techniques applied to multivariate data are a very useful tool in Statistics and have been fully studied in the literature. Nevertheless, these clustering methodologies are less well known when dealing with functional data. Our…

Methodology · Statistics 2023-12-01 Belén Pulido , Alba María Franco-Pereira , Rosa Elvira Lillo

We develop a novel clustering method for distributional data, where each data point is regarded as a probability distribution on the real line. For distributional data, it has been challenging to develop a clustering method that utilizes…

Methodology · Statistics 2025-06-24 Ryo Okano , Masaaki Imaizumi

The clustering for functional data with misaligned problems has drawn much attention in the last decade. Most methods do the clustering after those functional data being registered and there has been little research using both functional…

Methodology · Statistics 2017-11-15 Pengcheng Zeng , Jian Qing Shi , Won-Seok Kim

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Kevin McIlhany , Stephen Wiggins