Semi-Infinite Programming (SIP) has emerged as a powerful framework for modeling problems with infinite constraints, however, its theoretical development in the context of nonconvex and large-scale optimization remains limited. In this paper, we investigate a class of nonconvex min-max optimization problems with nonconvex infinite constraints, motivated by applications such as adversarial robustness and safety-constrained learning. We propose a novel inexact dynamic barrier primal-dual algorithm and establish its convergence properties.

Arboretum is a 134.6M sample dataset designed to advance AI for biodiversity applications by providing a large-scale, accurately annotated multimodal dataset that includes images and corresponding textual descriptions for a diverse set of species. Arboretum aims to facilitate the development of AI models for species identification, ecological monitoring, and agricultural research. Additionally, we introduce three new benchmark datasets: Arboretum-Unseen, Arboretum-LifeStages, and Arboretum-Balanced. As the authors of this submission, we affirm that we bear all responsibility in case of any rights violations or ethical issues associated with this work. We confirm that the submitted work is original, and if it includes third-party content, it is used with proper permissions and attributions.

Pima County Sheriff Chris Nanos' attorney acknowledges he resigned from El Paso Police Department in 1982 to avoid suspension, defending his sworn deposition testimony.

OFUGLB outperforms or is at par with prior algorithms for logistic bandits.

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This material may not be published, broadcast, rewritten, or redistributed. Quotes displayed in real-time or delayed by at least 15 minutes. Market data provided by Factset . Powered and implemented by FactSet Digital Solutions . Mutual Fund and ETF data provided by LSEG . Timeline: NBC host Savannah Guthrie's mother disappears as sheriff says'everybody's still a suspect' Arizona family sues hospital, says staff'Ubered' sick son to sidewalk where he died Medical examiner determines Texas A&M student's manner of death as family attorney disputes finding: 'Flawed' Dramatic bodycam video captures deputy pulling woman from fiery car wreck: 'I got to her just in time' NJ tech boss convicted of quadruple murder in 2018 killing of brother's family Genealogy company exec slams Pima sheriff's'devastating' move to ship Nancy Guthrie evidence to Florida lab Walmart sales records become critical evidence as FBI investigates Nancy Guthrie's disappearance Feds double Nancy Guthrie reward as former FBI agents suggest they're seeking an insider tip Savannah Guthrie's mother abducted from upscale neighborhood as Tucson crime'spins out of control' SWAT was prepared for possibly'very dangerous' situation in Guthrie case, expert says A man is detained near Nancy Guthrie's house Second Pima County SWAT vehicle seen leaving scene of law enforcement operation in Tucson, Ariz.

NBC announced that sportscaster and former professional tennis player Mary Carillo will step in for Savannah Guthrie to host the Winter Olympics in Italy.