arXiv Statistics ML By Tathagata Sadhukhan, Ines Wilms, Stephan Smeekes, Sumanta Basu

Autotune: fast, accurate, and automatic tuning parameter selection for Lasso

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The paper introduces μs’ autotune, an automatic tuning strategy for the Lasso that optimizes a penalized Gaussian log‑likelihood over regression coefficients and noise standard deviation. Extensive simulations on regression and VAR models show that autotune is faster and yields better generalization and model selection, especially in low signal‑to‑noise regimes. The method also delivers a new noise‑standard‑deviation estimator, a visual diagnostic for sparsity, and is demonstrated on a real‑world financial dataset, with an accompanying R package available on GitHub.

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