South Korea has unveiled plans for about $1tn (£760bn) of investments to build out the country's chip manufacturing and artificial intelligence (AI) capabilities in the coming years. It is part of the country's so-called Three Mega Projects to develop new chip production hubs, data centres and robotics technology. The plan is aimed at rejuvenating the economies of areas outside the capital Seoul, President Lee Jae-myung said on Monday. It comes as regional rivals like Taiwan, China and Japan are investing heavily in chip factories and other technologies as the AI boom pushes up demand for semiconductors. We must secure the core elements of AI faster than any other country, Lee said.

Camera, wifi and design updates bring welcome upgrades to Ring's top model in wired or battery flavour The Guardian's journalism is independent. We will earn a commission if you buy something through an affiliate link. R ing's recent revamp of its popular video doorbells with a more modern design is led by the top-of-the-line Video Doorbell Pro 3, which gains much-needed upgrades with a 4K camera and better wifi plus new interesting AI features. The Guardian's journalism is independent. We will earn a commission if you buy something through an affiliate link.

Last-iterate convergence and generalization guarantees in first-order convex learning hinge on the monotonicity of the update operator. While linear averaging preserves the monotonicity of gradient updates, this property is often violated when gradients are aggregated non-affinely, as in modern pipelines enforcing constraints like adaptivity, privacy, robustness or fairness. Whether it is possible to design non-affine aggregation rules that maintain monotonicity has remained an open question. We answer this question negatively: we prove that the monotonicity of aggregated gradients is preserved if and only if the aggregation rule is positively affine. Consequently, non-affine aggregation prevents steady convergence and substantially degrade algorithmic stability. We quantify these drawbacks and propose a path forward by identifying sufficient conditions under which monotonicity can be restored. Our results provide a unified theoretical framework explaining the disparate failure modes observed in modern learning systems.

The global minimum-variance portfolio (GMVP) is the canonical decision built from an estimated covariance matrix, yet covariance estimators are universally evaluated by matrix-norm loss, which is not the object the decision depends on. We characterise exactly how covariance-estimation error maps into GMVP suboptimality. We prove an exact regret identity and a non-asymptotic bound showing decision regret depends on the estimation error only through its action on the portfolio weights, scaled by portfolio concentration and the conditioning of the true covariance. From this we derive the decision geometry: GMVP regret is invariant to a (p-1)-dimensional projection of the p^2-dimensional error matrix, with invariance to the covariance-scale direction as an exact special case. We then apply the framework to heavy-tailed returns (tail index kappa in (2,4)), establishing the regret convergence rate implied by the centred operator-norm rate, and confirm the theory on a skew-t/t-copula simulation design with pre-registered analysis. The decision-focused advantage is a sharper constant and a concentration discount rather than a faster rate; we report an honest high-conditioning boundary of the rate prediction. The results complement recent decision-focused learning approaches by supplying the exact estimation geometry and consistency theory they lack.

Venezuela earthquake rescuers discover collapsed buildings were'held up by STYROFOAM' as catastrophic death toll reaches 1,430 Remains of at least 117 dogs found at California'no-kill' shelter as investigators uncover suspected burial site and 600 collars Two young sisters smile for the camera as they're arrested for stabbing mom-of-five to death in broad daylight Sun-kissed enclave named Florida's newest boomtown as telltale restaurant chain opens more stores in area Horrifying truth about'squishy dumplings': Fears as putrid fumes'sicken' mom and toys explode in children's hands... experts sound alarm on possible cancer links in new analysis Delaware senator rushed to hospital after getting into car crash while sitting in passenger's seat World's first'pregnant man' Thomas Beatie reveals astonishing full story for the first time as his daughter turns 18... and confronts a hard truth about trans teens Taylor Swift gets BOOED at Alan Jackson's final concert... as Travis Kelce ...

More information Adding us as a Preferred Source in Google by using this link indicates that you would like to see more of our content in Google News results. Breakthroughs, discoveries, and DIY tips sent six days a week. By signing up, you confirm you are 16+, will receive newsletters and promotional content and agree to our Terms of Use and acknowledge the data practices in our Privacy Policy . The 1839 Awards are named in honor of the year that the photography was first made widely available to the public. Each year, the competition celebrates photographers through different contests, including in color photography .

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Argentina soccer player's wife and kids found dead after desperate 74-hour search following Venezuela earthquakes Trump gives New York Times writer rancid nickname as he goes scorched earth against her new book: 'She's spewing out garbage' Katy Perry is forced to cancel concert just HOURS before taking to the stage: 'No choice' The signs I missed that I was sleeping next to a killer: My husband dismembered his secret girlfriend with a machete. The surprising food that has more protein than eggs and yogurt... and how much you should eat of it I made a sickening discovery in my wife's sock drawer... If this is what she really wants, I can't stomach it: DEAR JANE World Cup's fairytale team Cape Verde hit by rape accusations against their captain from their translator Teenage koi pond employee who burned boss alive learns his fate in court: 'I deserve whatever I get' The royals most and least likely to give Harry and Meghan a'warm welcome' - as the Sussexes are set to bring their children to the UK for the first time in years Shocking moment sports bar security guard is arrested for firing Taser gun point blank at patron's head I feel terrible saying my husband's penis isn't big enough for me. I have an idea of how to fix it - but I'm worried it will crush him: ASK JANA China develops extremely'powerful weapon' that has flipped the AI race on its head... amid concerns the US is HELPING Beijing get an advantage Awkward moment mumbling Joe Biden is interrupted by hecklers... as he slams Trump over'vanity projects' and calls president a'loser' before struggling to walk off stage Locked up like an animal in cage...forced to witness rape and slaughter...tortured until they prayed for death: October 7 hostages' most horrifying accounts yet of what they endured at the hands of Hamas The chilling visions of hell that a doctor says reveal we're living in God's simulation Healthiest supermarket ice-creams: Dietitian reveals the cartons to add to your grocery list... and the ones to avoid The chilling visions of hell that a doctor says reveal we're living in God's simulation MORE: Wild theory claims the world actually ended in 2012... and we are now living in the apocalypse chaos A doctor who studies near-death experiences says that there is now a strange overlap between the Christian vision of hell and the theory that the world is a giant simulation. Dr Orson Wedgwood is a New Zealand-based scientist and author who works in healthcare research.

A PhD student spotted the wolves going after the so-called'king of the forest' on a trail camera. More information Adding us as a Preferred Source in Google by using this link indicates that you would like to see more of our content in Google News results. Breakthroughs, discoveries, and DIY tips sent six days a week. By signing up, you confirm you are 16+, will receive newsletters and promotional content and agree to our Terms of Use and acknowledge the data practices in our Privacy Policy . While reviewing footage for her PhD research, Polish Academy of Sciences ecologist Robin Wijnands spotted something pretty wild .

The movement to strengthen democracy in America is suffering as a surfeit of advocacy groups is crowding an ecosystem of nonprofits, coalitions, and think tanks.