Title: Functional Data Analysis and Partial Differential Equations;
Statistical Analysis of Functional and Spatial Data, Based on
Regression with Partial Differential Regularizations

Title: Functional Data Analysis and Partial Differential Equations
(PDE); Statistical Analysis of Functional and Spatial Data,
Based on Regression with PDE Regularization
Authors@R: c(person("Eardi", "Lila", role = c("aut"),
person("Laura M.", "Sangalli", role = c("aut"),
person("Eleonora", "Arnone", role = c("aut", "cre"),
person("Alessandra", "Colli", role = "ctb"),
person("Luca", "Colombo", role = "ctb"),
person("Carlo", "de Falco", role = "ctb"))
Depends: R (>= 3.5.0), stats, grDevices, graphics, geometry, rgl,

Title: Statistical Analysis of Functional and Spatial Data, Based on
Description: An implementation of regression models with partial differential regularizations, making use of the Finite Element Method. The models efficiently handle data distributed over irregularly shaped domains and can comply with various conditions at the boundaries of the domain. A priori information about the spatial structure of the phenomenon under study can be incorporated in the model via the differential regularization. See Sangalli, L.M., Ramsay, J.O., Ramsay, T.O. (2013), Spatial spline regression models for an overview.

Regression with Partial Differential Equation Regularization

Authors@R: c(person("Eleonora", "Arnone", role = c("aut", "cre"),
person("Eardi", "Lila", role = c("aut"),
person("Giovanni", "Ardenghi", role = "ctb"),
person("Michele", "Cavazzutti", role = "ctb"),
person("Aldo", "Clemente", role = "ctb"),
person("Alberto", "Colombo", role = "ctb"),
person("Carlo", "de Falco", role = "ctb"),
person("Enrico", "Dall'Acqua", role = "ctb"),
person("Giulia", "Ferla", role = "ctb"),
person("Lorenzo", "Ghilotti", role = "ctb"),
person("Cristina", "Galimberti", role = "ctb"),
person("Martina", "Massardi", role = "ctb"),
person("Giorgio", "Meretti", role = "ctb"),
person("Giulio", "Perin", role = "ctb"),
person("Clara", "Pigolotti", role = "ctb"),
person("Andrea", "Poiatti", role = "ctb"),
person("Gian Matteo", "Rinaldi", role = "ctb"),
person("Stefano", "Spaziani", role = "ctb"),
person("Andrea", "Vicini", role = "ctb")
Depends: R (>= 3.5.0), stats, grDevices, graphics, rgl, Matrix, plot3D,
Description: An implementation of regression models with partial differential regularizations, making use of the Finite Element Method. The models efficiently handle data distributed over irregularly shaped domains and can comply with various conditions at the boundaries of the domain. A priori information about the spatial structure of the phenomenon under study can be incorporated in the model via the differential regularization. See Sangalli, L. M. (2021). Spatial Regression With Partial Differential Equation Regularisation. International Statistical Review, 89(3), 505-531. for an overview. The release 1.1-9 requires R (>= 4.2.0) to be installed on windows machines.