Search Results for author: Simone Vantini

Found 5 papers, 2 papers with code

funLOCI: a local clustering algorithm for functional data

1 code implementation22 May 2023 Jacopo Di Iorio, Simone Vantini

Nowadays, more and more problems are dealing with data with one infinite continuous dimension: functional data.

Clustering

Conformal Prediction Bands for Two-Dimensional Functional Time Series

no code implementations27 Jul 2022 Niccolò Ajroldi, Jacopo Diquigiovanni, Matteo Fontana, Simone Vantini

Time evolving surfaces can be modeled as two-dimensional Functional time series, exploiting the tools of Functional data analysis.

Conformal Prediction Time Series +3

Ridge regression with adaptive additive rectangles and other piecewise functional templates

no code implementations2 Nov 2020 Edoardo Belli, Simone Vantini

We propose an $L_{2}$-based penalization algorithm for functional linear regression models, where the coefficient function is shrunk towards a data-driven shape template $\gamma$, which is constrained to belong to a class of piecewise functions by restricting its basis expansion.

regression

Measure Inducing Classification and Regression Trees for Functional Data

no code implementations30 Oct 2020 Edoardo Belli, Simone Vantini

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing generalization error while retaining the interpretability of a tree.

Classification General Classification +2

Conformal Prediction: a Unified Review of Theory and New Challenges

1 code implementation16 May 2020 Matteo Fontana, Gianluca Zeni, Simone Vantini

In this work we provide a review of basic ideas and novel developments about Conformal Prediction -- an innovative distribution-free, non-parametric forecasting method, based on minimal assumptions -- that is able to yield in a very straightforward way predictions sets that are valid in a statistical sense also in in the finite sample case.

Conformal Prediction valid

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