A time-dependent PDE regularization to model functional data defined over spatio-temporal domains

Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


We propose a method for the analysis of functional data defined over spatio-temporal domains when prior knowledge on the phenomenon under study is available. The model is based on regression with Partial Differential Equations (PDE) penalization. The PDE formalizes the information on the phenomenon and models the regularity of the field in space and time.


Functional Data Ordinary Kriging Environ Ecol Stat Partial Differential Equation Stochastic Environ 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.MOX - Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.IDSIA - Department of Innovative TechnologiesUniversitá della Svizzera Italiana Galleria 1LuganoSwitzerland
  3. 3.MATHICSE-CSQI, École Polytechnique Fédérale de LausanneLausanneSwitzerland

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