English

PAC-Bayesian Estimation and Prediction in Sparse Additive Models

Methodology 2018-05-22 v3 Statistics Theory Statistics Theory

Abstract

The present paper is about estimation and prediction in high-dimensional additive models under a sparsity assumption (pnp\gg n paradigm). A PAC-Bayesian strategy is investigated, delivering oracle inequalities in probability. The implementation is performed through recent outcomes in high-dimensional MCMC algorithms, and the performance of our method is assessed on simulated data.

Keywords

Cite

@article{arxiv.1208.1211,
  title  = {PAC-Bayesian Estimation and Prediction in Sparse Additive Models},
  author = {Benjamin Guedj and Pierre Alquier},
  journal= {arXiv preprint arXiv:1208.1211},
  year   = {2018}
}

Comments

28 pages

R2 v1 2026-06-21T21:46:54.263Z