Cristin-resultat-ID: 2007947
Sist endret: 7. mars 2022, 10:21
NVI-rapporteringsår: 2022
Resultat
Vitenskapelig artikkel
2022

Penalized angular regression for personalized predictions

Bidragsytere:
  • Kristoffer Herland Hellton

Tidsskrift

Scandinavian Journal of Statistics
ISSN 0303-6898
e-ISSN 1467-9469
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2022
Publisert online: 2022

Importkilder

Scopus-ID: 2-s2.0-85124460290

Klassifisering

Vitenskapsdisipliner

Statistikk

Emneord

Regresjon • Persontilpasset medisin • Prediksjonsmodellering

Beskrivelse Beskrivelse

Tittel

Penalized angular regression for personalized predictions

Sammendrag

Personalization is becoming an important aspect of many predictive applications. We introduce a penalized regression method which inherently implements personalization. Personalized angle (PAN) regression constructs regression coefficients that are specific to the covariate vector for which one is producing a prediction, thus personalizing the regression model itself. This is achieved by penalizing the normalized prediction for a given covariate vector. The method therefore penalizes the normalized regression coefficients, or the angles of the regression coefficients in a hyperspherical parametrization, introducing a new angle-based class of penalties. PAN hence combines two novel concepts: penalizing the normalized coefficients and personalization. For an orthogonal design matrix, we show that the PAN estimator is the solution to a low-dimensional eigenvector equation. Based on the hyperspherical parametrization, we construct an efficient algorithm to calculate the PAN estimator. We propose a parametric bootstrap procedure for selecting the tuning parameter, and simulations show that PAN regression can outperform ordinary least squares, ridge regression and other penalized regression methods in terms of prediction error. Finally, we demonstrate the method in a medical application.

Bidragsytere

Kristoffer Herland Hellton

  • Tilknyttet:
    Forfatter
    ved Statistisk analyse, maskinlæring og bildeanalyse SAMBA ved Norsk Regnesentral
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