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math.ST2026
Lasso Universality Under Linearly Dependent Covariates in the Sparse Regime
Soroush Mesforush, Rahul Parhi
Throughout the last decade, Gaussian universality has been widely studied for high-dimensional estimation problems. Most of the literature focuses on i.i.d. sensing matrices or acc…
math.ST2025
Towards Sharp Minimax Risk Bounds for Operator Learning
Ben Adcock, Gregor Maier, Rahul Parhi
We develop a minimax theory for operator learning, where the goal is to estimate an unknown operator between separable Hilbert spaces from finitely many noisy input-output samples.…