Weighted Pseudo-Metrics for Finite-Sample Improvement in Functional Nonparametric Regression

Kwo Lik CHAN; Delsol Laurent; Aldo GOIA

doi:10.1007/978-3-032-30877-1

Weighted Pseudo-Metrics for Finite-Sample Improvement in Functional Nonparametric Regression

Kwo Lik CHAN
, Delsol Laurent
, Aldo GOIA

Department of Economics and Business Studies

Research output: Contribution to conference › Paper › peer-review

Abstract

In functional nonparametric regression, the choice of a pseudo-metric plays a pivotal role as it influences the type of models under consideration. This work introduces the notion of a weighted pseudo-metric and provides a discussion of its construction.The effects and the performances of the choices of pseudo-metric used are compared in an application to real data.

Original language	English
Pages	573-577
Number of pages	5
DOIs	https://doi.org/10.1007/978-3-032-30877-1
Publication status	Published - 2026
Event	Joint Meeting SIS-FENStatS 2026 - Roma Duration: 1 Jan 2026 → …

Conference

Conference	Joint Meeting SIS-FENStatS 2026
City	Roma
Period	1/01/26 → …

Keywords

functional data
nonparametric regression
pseudo-metric

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10.1007/978-3-032-30877-1

https://hdl.handle.net/11579/234982

Cite this

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title = "Weighted Pseudo-Metrics for Finite-Sample Improvement in Functional Nonparametric Regression",

abstract = "In functional nonparametric regression, the choice of a pseudo-metric plays a pivotal role as it influences the type of models under consideration. This work introduces the notion of a weighted pseudo-metric and provides a discussion of its construction.The effects and the performances of the choices of pseudo-metric used are compared in an application to real data.",

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year = "2026",

doi = "10.1007/978-3-032-30877-1",

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T1 - Weighted Pseudo-Metrics for Finite-Sample Improvement in Functional Nonparametric Regression

AU - CHAN, Kwo Lik

AU - Laurent, Delsol

AU - GOIA, Aldo

PY - 2026

Y1 - 2026

N2 - In functional nonparametric regression, the choice of a pseudo-metric plays a pivotal role as it influences the type of models under consideration. This work introduces the notion of a weighted pseudo-metric and provides a discussion of its construction.The effects and the performances of the choices of pseudo-metric used are compared in an application to real data.

AB - In functional nonparametric regression, the choice of a pseudo-metric plays a pivotal role as it influences the type of models under consideration. This work introduces the notion of a weighted pseudo-metric and provides a discussion of its construction.The effects and the performances of the choices of pseudo-metric used are compared in an application to real data.

KW - functional data

KW - nonparametric regression

KW - pseudo-metric

KW - functional data

KW - nonparametric regression

KW - pseudo-metric

UR - https://iris.uniupo.it/handle/11579/234982

U2 - 10.1007/978-3-032-30877-1

DO - 10.1007/978-3-032-30877-1

M3 - Paper

SP - 573

EP - 577

T2 - Joint Meeting SIS-FENStatS 2026

Y2 - 1 January 2026

ER -

Weighted Pseudo-Metrics for Finite-Sample Improvement in Functional Nonparametric Regression

Abstract

Conference

Keywords

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