Title
Funcc: A New Bi-Clustering Algorithm For Functional Data With Misalignment
Abstract
The problem of bi-clustering functional data, which has recently been addressed in literature, is considered. A definition of ideal functional bi-cluster is given and a novel bi-clustering method, called Functional Cheng and Church (FunCC), is developed. The introduced algorithm searches for non-overlapping and non-exhaustive bi-clusters in a set of functions which are naturally ordered in matrix structure through a non-parametric deterministic iterative procedure. Moreover, the possible misalignment of the data, which is a common problem when dealing with functions, is taken into account. Hence, the FunCC algorithm is extended obtaining a model able to jointly bi-cluster and align curves. Different simulation studies are performed to show the potential of the introduced method and to compare it with state-of-the-art methods. The model is also applied on a real case study allowing to discover the spatio-temporal patterns of a bike-sharing system. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.csda.2021.107219
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Keywords
DocType
Volume
Bi-clustering, Clustering, Functional data, Curve alignment, Mobility, Bike Sharing System
Journal
160
ISSN
Citations 
PageRank 
0167-9473
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Marta Galvani100.68
Agostino Torti200.34
Alessandra Menafoglio3175.25
Simone Vantini400.34