Minimax estimation in multi-task regression under low-rank structures

Author:

Bak Kwan-Young12ORCID,Koo Ja-Yong3

Affiliation:

1. School of Mathematics, Statistics and Data Science, Sungshin Women's University, Seoul, Republic of Korea

2. Data Science Center, Sungshin Women's University, Seoul, Republic of Korea

3. Department of Statistics, Korea University, Seoul, Republic of Korea

Funder

Sungshin Women's University Research

NR

Publisher

Informa UK Limited

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference15 articles.

1. Optimal selection of reduced rank estimators of high-dimensional matrices

2. Foygel, R., Horrel, M., Drton, M., and Lafferty, J. (2012), ‘Nonparametric reduced rank regression’, in Proceedings of the 25th International Conference on Neural Information Processing Systems (Vol. 1), New York: Curran Associates, Inc., pp. 1628–1636.

3. A Lower Bound on the Risks of Non-Parametric Estimates of Densities in the Uniform Metric

4. Optimal Rates of Convergence for Nonparametric Statistical Inverse Problems

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