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Regularized regression when covariates are linked on a network: the 3CoSE algorithm

Author

Listed:
  • Weber, Matthias
  • Striaukas, Jonas

    (Université catholique de Louvain, LIDAM/LFIN, Belgium)

  • Schumacher, Martin
  • Binder, Harald

Abstract

Covariates in regressions may be linked to each other on a network. Knowledge of the network structure can be incorporated into regularized regression settings via a network penalty term. However, when it is unknown whether the connection signs in the network are positive (connected covariates reinforce each other) or negative (connected covariates repress each other), the connection signs have to be estimated jointly with the covariate coefficients. This can be done with an algorithm iterating a connection sign estimation step and a covariate coefficient estimation step. We develop such an algorithm, called 3CoSE, and show detailed simulation results and an application forecasting event times. The algorithm performs well in a variety of settings. We also briefly describe the publicly available R-package developed for this purpose.

Suggested Citation

  • Weber, Matthias & Striaukas, Jonas & Schumacher, Martin & Binder, Harald, 2021. "Regularized regression when covariates are linked on a network: the 3CoSE algorithm," LIDAM Reprints LFIN 2021022, Université catholique de Louvain, Louvain Finance (LFIN).
  • Handle: RePEc:ajf:louvlr:2021022
    DOI: https://doi.org/10.1080/02664763.2021.1982878
    Note: In: Journal of Applied Statistics, 2021
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    Cited by:

    1. Weber, Matthias, 2022. "From Individual Human Decisions to Economic and Financial Policies," SocArXiv 5ju7z, Center for Open Science.

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