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Symmetry-Aware Bayesian Optimization via Max Kernels

arXiv:2509.25051v1 Announce Type: new Abstract: Bayesian Optimization (BO) is a powerful framework for optimizing noisy, expensive-to-evaluate black-box functions. When the objective exhibits invariances under a group action, exploiting these symmetries can substantially improve BO efficiency. While using maximum similarity across…

On Spectral Learning for Odeco Tensors: Perturbation, Initialization, and Algorithms

arXiv:2509.25126v1 Announce Type: new Abstract: We study spectral learning for orthogonally decomposable (odeco) tensors, emphasizing the interplay between statistical limits, optimization geometry, and initialization. Unlike matrices, recovery for odeco tensors does not hinge on eigengaps, yielding improved robustness under noise.…

Two-Stage Nuisance Function Estimation for Causal Mediation Analysis

arXiv:2404.00735v3 Announce Type: replace-cross Abstract: Tchetgen Tchetgen and Shpitser (2012) introduced an efficient, debiased, and robust influence function-based estimator for the mediation functional, which is the key component in mediation analysis. This estimator relies on the treatment, mediator, and outcome…

Deep P-Spline: Theory, Fast Tuning, and Application

arXiv:2501.01376v1 Announce Type: cross Abstract: Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs to knot…

YouTube caves to Trump with $24.5 million settlement

YouTube has settled a lawsuit President Donald Trump filed against the company in 2021, according to The Wall Street Journal. Trump filed sweeping lawsuits against Google-owned YouTube, Meta (then Facebook) and X (then Twitter) after he was suspended from the…

SB 53, the landmark AI transparency bill, is now law in California

Senate Bill 53, the landmark AI transparency bill that has divided AI companies and made headlines for months, is now officially law in California.  On Monday, California governor Gavin Newsom signed the “Transparency in Frontier Artificial Intelligence Act,” which was…