Web: http://arxiv.org/abs/2204.06990

Sept. 16, 2022, 1:13 a.m. | Pierre C Bellec

stat.ML updates on arXiv.org arxiv.org

We consider observations $(X,y)$ from single index models with unknown link
function, Gaussian covariates and a regularized M-estimator $\hat\beta$
constructed from convex loss function and regularizer. In the regime where
sample size $n$ and dimension $p$ are both increasing such that $p/n$ has a
finite limit, the behavior of the empirical distribution of $\hat\beta$ and the
predicted values $X\hat\beta$ has been previously characterized in a number of
models: The empirical distributions are known to converge to proximal operators
of the …

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