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Dimension free ridge regression
March 19, 2024, 4:46 a.m. | Chen Cheng, Andrea Montanari
stat.ML updates on arXiv.org arxiv.org
Abstract: Random matrix theory has become a widely useful tool in high-dimensional statistics and theoretical machine learning. However, random matrix theory is largely focused on the proportional asymptotics in which the number of columns grows proportionally to the number of rows of the data matrix. This is not always the most natural setting in statistics where columns correspond to covariates and rows to samples. With the objective to move beyond the proportional asymptotics, we revisit ridge …
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