arXiv Machine Learning By Shuoguang Yang, Qiang Sun

Online Generalized Sparse Regression: How Does Overparametrization Help?

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The paper introduces an online generalized-sparsity-constrained regression framework that addresses key challenges in online sparse regression, such as dynamic regularization, memory usage, and real-time computation. It proposes an efficient online hard‑thresholding algorithm that performs closed‑form updates using only summary statistics, achieving global convergence at optimal statistical rates when the projection set is overparameterized. Numerical experiments show the method consistently outperforms existing alternatives in online cardinality‑constrained linear regression and low‑rank matrix sensing.

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arXiv Machine Learning
Jul 7

Efficient Cross-Validation for Sparse Linear Regression

arXiv:2306. 14851v5 Announce Type: replace-cross Abstract: Given a high-dimensional covariate matrix and a response vector, ridge-regularized sparse linear regression selects a subset of features that explains the relationship between covariates and the response in an interpretable manner.

By Ryan Cory-Wright, Andr\'es G\'omez