Huber
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Related Articles from SNS
Truncated Huber Penalty for Sparse Signal Recovery with Convergence Analysis
arXiv:2504.04509v2 Announce Type: replace Abstract: Sparse signal recovery from under-determined systems presents significant challenges when using conventional L_0 and L_1 penalties, primarily due to computational complexity and estimation bias. This paper introduces a truncated Huber penalty, a non-convex metric that effectively bridges the gap between unbiased sparse recovery and differentiable optimization. The proposed penalty applies quadratic regularization to small entries while...
Robust Predictive Uncertainty and Double Descent in Contaminated Bayesian Random Features
arXiv:2602.19126v2 Announce Type: replace Abstract: We propose a robust Bayesian formulation of random feature (RF) regression that accounts explicitly for prior and likelihood misspecification via Huber-style contamination sets. Starting from the classical equivalence between ridge-regularized RF training and Bayesian inference with Gaussian priors and likelihoods, we replace the single prior and likelihood with $\epsilon$- and $\eta$-contaminated credal sets, respectively, and perform...
Mitigating the Curse of Dimensionality in Uniform Convergence of Deep Neural Networks via Smooth Activations
arXiv:2606.05599v1 Announce Type: new Abstract: This paper establishes a theoretical framework for the uniform convergence of smoothly activated deep neural network (DNN) estimators. While standard ReLU networks achieve minimax-optimal rates in the $L^2(P)$ norm for various nonparametric regression tasks, we establish a theoretical lower bound demonstrating that least-squares ReLU estimators can suffer from the curse of dimensionality in their uniform convergence behavior. Motivated by the...
A stellar “Rosetta stone” reveals the source of mysterious cosmic signals
A stellar “Rosetta stone” reveals the source of mysterious cosmic signals A star caught cannibalizing its companion has finally revealed the origin of one of astronomy’s most puzzling repeating signals. - Date: - June 2, 2026 - Source: - University of Sydney - Summary: - Astronomers have finally cracked the mystery behind a strange class of repeating cosmic signals that has baffled scientists for years.
Computer-Assisted Proofs for Geometric Optimization: From Crystallization to Carbon Nanotubes
Announce Type: replace Abstract: We present a framework based on computer-assisted proofs that turns geometry optimization simulations for atomistic structures into mathematical proofs. Starting from a numerically computed approximation of a local minimizer or saddle point, we use validated numerical computations to prove the existence of a critical point of the potential energy close to this approximation. We demonstrate this framework in two settings.
Mysterious repeating radio signal traced to 'vampire' star that's slowly eating its companion
Mysterious repeating radio signal traced to 'vampire' star that's slowly eating its companion Radio astronomers have decoded a peculiar repeating radio signal from deep space, tracing it to a vampiric binary star system. A pair of spiralling stars could be a blueprint for decoding mysterious bursts of radio energy coming from space, according to new research. Long-period transients have puzzled radio astronomers since they were first detected in 2022.