Tag: ell
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Transformed $ell_1$ Regularizations for Robust Principal Component Analysis: Toward a Fine-Grained Understanding
Transformed $ell_1$ Regularizations for Robust Principal Component Analysis: Toward a Fine-Grained Understanding arXiv:2510.03624v1 Announce Type: new Abstract: Robust Principal Component Analysis (RPCA) aims to recover a low-rank structure from noisy, partially observed data that is also corrupted by sparse, potentially large-magnitude outliers. Traditional RPCA models rely on convex relaxations, such as nuclear norm and $ell_1$…
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Near-optimal estimates for the $ell^p$-Lipschitz constants of deep random ReLU neural networks
Near-optimal estimates for the $ell^p$-Lipschitz constants of deep random ReLU neural networks arXiv:2506.19695v1 Announce Type: new Abstract: This paper studies the $ell^p$-Lipschitz constants of ReLU neural networks $Phi: mathbb{R}^d to mathbb{R}$ with random parameters for $p in [1,infty]$. The distribution of the weights follows a variant of the He initialization and the biases are drawn…