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Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Antarctica has lost an area of ice more than eight times larger than Greater London over the last 30 years, a study has revealed. Using satellite data collected over the last three decades, scientists have painstakingly mapped the frozen continent's shrinking borders. The researchers measured the'grounding line migration' - the change in location at which the continental ice shelf meets the open ocean.

Algorithmic decisions about individuals require predictions that are not only accurate but also fair with respect to sensitive attributes such as gender and race. Causal notions of fairness align with legal requirements, yet many methods assume access to detailed knowledge of the underlying causal graph, which is a demanding assumption in practice. We propose a learning framework that achieves interventional fairness by leveraging a causal graph over \textit{clusters of variables}, which is substantially easier to estimate than a variable-level graph. With possible \textit{adjustment cluster sets} identified from such a cluster causal graph, our framework trains a prediction model by reducing the worst-case discrepancy between interventional distributions across these sets. To this end, we develop a computationally efficient barycenter kernel maximum mean discrepancy (MMD) that scales favorably with the number of sensitive attribute values. Extensive experiments show that our framework strikes a better balance between fairness and accuracy than existing approaches, highlighting its effectiveness under limited causal graph knowledge.

In this paper, we study last-iterate convergence of learning algorithms in bilinear saddle-point problems, a preferable notion of convergence that captures the day-to-day behavior of learning dynamics. We focus on the challenging setting where players select actions from compact convex sets and receive only bandit feedback. Our main contribution is the design of an uncoupled learning algorithm that guarantees last-iterate convergence to the Nash equilibrium with high probability. We establish a convergence rate of $\tilde{O}(T^{-1/4})$ up to polynomial factors in problem parameters. Crucially, our proposed algorithm is computationally efficient, requiring only an efficient linear optimization oracle over the players' compact action sets. The algorithm is obtained by combining techniques from experimental design and the classic Follow-The-Regularized-Leader (FTRL) framework, with a carefully chosen regularizer function tailored to the geometry of the action set of each learner.

Bed-bound Lindsey Vonn reveals pain is'hard to manage' as she speaks out for the first time after FIFTH surgery on her broken leg'Fergie might end up having to tell her story to the police': 'Toxic' Sarah Ferguson is'broke and in a bad way' after Andrew's arrest...and looking to UAE for cash because'everyone is out to get her' The tide of sleaze rolling over Beatrice, Eugenie and Fergie is going to capsize them all. Moment Kate and William revealed their'true feelings' towards Andrew and Fergie: Princess'ignoring' Sarah and Prince'secretly scolding' his uncle... how Duchess of Kent's funeral said it all Kurt Cobain's uncle insists Nirvana legend was murdered and calls on cops to investigate clues that haunt him Kristi Noem's secret escape plan to ditch DHS revealed amid ICE raid fallout and'culture of fear' rumors Winter Olympics chiefs reach verdict on Jutta Leerdam's '$1m underwear-flashing gesture' after Jake Paul's fiancée faced covert marketing claims Country singer Conner Smith's charges DROPPED after he hit and killed a woman, 77, with his truck I ditched weight-loss shots for the new Wegovy pill and am astonished by the difference. The pounds are falling off, I have no side effects and it's cheaper The subtle early warning sign that revealed Eric Dane's illness - as Grey's Anatomy star dies of motor neurone disease Johnny Depp let Eric Dane live'rent-free in one of his LA homes' as he tried to ease Grey's Anatomy star's financial worries in the months before his death from ALS aged 53 Uproar as NYC's'communist' mayor announces crippling tax for ALL homeowners after promising to only go after billionaires Wall Street panics as America's growth stalls while everyday prices refuse to fall I stumbled across my wife's Pornhub search history and it's broken me. She told me it's'just a fantasy lots of women have' but now I fear I'll never be enough Non-binary activist wins compensation after taking year-and-a-half off work with stress because hair salon's online booking form only offered male or female cuts Courtney Love caught on camera fleeing shocking car collision... days after bombshell Kurt Cobain'homicide investigation' Trump-bashing Winter Olympics star Hunter Hess whines about'hardest weeks of his life' after being called a'real loser' by the president In a viral post on X, user @ShishirShelke1 shared their strange discovery about the clock app icon. Normally, the icon on the home screen shows the second hand smoothly gliding around the clock face.

Eric Dane dead at 53: Grey's Anatomy star dies after courageous battle with ALS... less than a year after announcing diagnosis RICHARD KAY: Andrew's fall may now be complete. The question is... Will he bring down the House of Windsor with him? Alysa Liu finally ends America's 24-year wait for a Winter Olympics figure skating gold medal as she wins nerve-shredding final The tide of sleaze rolling over Beatrice, Eugenie and Fergie is going to capsize them all. My stalker said he'd rape and dismember me. Then he turned his depraved sights on my seven-year-old daughter, says EVA LARUE.

Tesla avoids California sales ban by removing'autopilot' from marketing Tesla will avoid a 30-day suspension of its dealer and manufacturer licenses in California, its biggest market, after the US electric vehicle maker stopped using the term "autopilot" in the marketing of its vehicles in the state. Tesla now uses the term "supervised" in references to its full self-driving technology and has stopped using "autopilot" entirely in its marketing in the state. State regulators said Tuesday that Tesla had stopped misleading drivers about the safety of its cars, and so the state will not suspend its state sales license for 30 days, as had been threatened. The decision by the California department of motor vehicles comes after CEO Elon Musk's electric vehicle company was found by an administrative law judge last year to have misled drivers about the ability of Tesla cars to drive themselves in its use of the terms "autopilot" and "full self-driving". In 2022, the DMV had accused Tesla of misleading consumers by using "autopilot" and "full self-driving" for its advanced driver-assistance features.

Most machine learning algorithm designs aim to enhance label prediction accuracy.