no code implementations • 12 Jul 2021 • Xin Bing, Florentina Bunea, Seth Strimas-Mackey, Marten Wegkamp
When $A$ is unknown, we estimate $T$ by optimizing the likelihood function corresponding to a plug in, generic, estimator $\hat{A}$ of $A$.
no code implementations • 20 Jul 2020 • Xin Bing, Florentina Bunea, Seth Strimas-Mackey, Marten Wegkamp
Our primary contribution is in establishing finite sample risk bounds for prediction with the ubiquitous Principal Component Regression (PCR) method, under the factor regression model, with the number of principal components adaptively selected from the data -- a form of theoretical guarantee that is surprisingly lacking from the PCR literature.
no code implementations • 6 Feb 2020 • Florentina Bunea, Seth Strimas-Mackey, Marten Wegkamp
If the effective rank of the covariance matrix $\Sigma$ of the $p$ regression features is much larger than the sample size $n$, we show that the min-norm interpolating predictor is not desirable, as its risk approaches the risk of trivially predicting the response by 0.