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FunCC: A new bi-clustering algorithm for functional data with misalignment

Marta Galvani, Agostino Torti, Alessandra Menafoglio and Simone Vantini

Computational Statistics & Data Analysis, 2021, vol. 160, issue C

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.

Keywords: Bi-clustering; Clustering; Functional data; Curve alignment; Mobility; Bike Sharing System (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:160:y:2021:i:c:s0167947321000530

DOI: 10.1016/j.csda.2021.107219

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