Performance of Empirical Risk Minimization for Linear Regression with Dependent Data
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916699884748800 |
|---|---|
| author | Brownlees, Christian Guðmundsson, Guðmundur Stefán |
| author_facet | Brownlees, Christian Guðmundsson, Guðmundur Stefán |
| contents | This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the cases of identically and heterogeneously distributed observations. Our analysis is nonparametric in the sense that the relationship between the regressand and the regressors is not specified. The main results of this paper show that the empirical risk minimizer achieves the optimal performance (up to a logarithmic factor) in a dependent data setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_12127 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Performance of Empirical Risk Minimization for Linear Regression with Dependent Data Brownlees, Christian Guðmundsson, Guðmundur Stefán Econometrics Methodology This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the cases of identically and heterogeneously distributed observations. Our analysis is nonparametric in the sense that the relationship between the regressand and the regressors is not specified. The main results of this paper show that the empirical risk minimizer achieves the optimal performance (up to a logarithmic factor) in a dependent data setting. |
| title | Performance of Empirical Risk Minimization for Linear Regression with Dependent Data |
| topic | Econometrics Methodology |
| url | https://arxiv.org/abs/2104.12127 |