Jeffrey Epstein scrawled suicide note finally released: 'No fun. Surprising fate of CNN founder Ted Turner's multibillion-dollar fortune after thrice-married father-of-five died aged 87 Wall Street Titan lays out his ultimate revenge for woke NYC mayor Mamdani's'creepy weird' video Mike Vrabel'rented a boat with pregnant Dianna Russini in 2021' months before she welcomed first son Ultimate Spirit Airlines compensation guide: 'Magic words' to tell your bank for BIGGEST refund... what to do if you DIDN'T use a credit card... how to reclaim higher cost of new flights.... and'rescue' option when all else fails Once-bustling Nevada vacation resort becomes America's newest GHOST TOWN as its final hotel closes Farrah Fawcett's twisted family secrets: Siblings of her devil-horned son accused of hideous knife spree reveal dark childhood home truths Tragic Saved By The Bell star Dustin Diamond's residual pay revealed after his shock death at age 44 Rat virus'was brought onto cruise ship by birdwatcher couple who visited garbage dump to snap birds before setting off': Possible cause revealed - as Brits face eight-week quarantine Scandal as female World Cup soccer player is accused by police of raping baby-faced boy, 14, up to'three times a week' Triple Crown thrown into disarray with major announcement from Kentucky Derby winner Golden Tempo's trainer The photos that say it all! Justin Baldoni beams as he steps out with his wife for the first time since Blake Lively's humiliating lawsuit settlement The next generation of Ozempic is here. Turbo shots deliver 250% more weight loss... at record speeds. Patients are begging for them - but there's a major warning: DR SHEILA NAZARIAN Meghan Markle shares unseen photo of Prince Archie asleep on Harry's chest as a baby to celebrate his 7th birthday I sat with FedEx child killer Tanner Horner for weeks.

Fury as NYC on course to join Detroit, Chicago and Puerto Rico with woke mayor Mamdani's latest reckless plan Hidden $65bn lithium motherlode mapped beneath America's oldest mountains could power nation for centuries A quarter of US stock market gets report cards from Wall Street on same day this week. Even one bad grade can spell catastrophe for your 401(k). Here's EXACTLY what you need to do I was constantly burned out and kept cancelling plans because I was so tired. Doctors said it was just hormones... then I was diagnosed with this aggressive cancer. Nicole Kidman's daughters have'CUT OFF' dad Keith Urban: Insiders reveal why they are'SO angry'... and how he is utterly'distraught' but finally admitting'guilt' Florida go-kart park ordered to pay hefty settlement after mom and daughter, 6, broke two important rules that resulted in little girl's death King Charles leaves White House roaring with laughter with jokes to Trump about'speaking French' and the Boston Tea Party in dazzling state dinner Brace for the'Big Crunch': Scientists predict when the universe will end - and it's TRILLIONS of years sooner than we thought The $1.50 fruit that can protect you from deadly heart disease Why Donald Trump Jr and Bettina Anderson's wedding is'on hold' just weeks after extravagant'enchanted garden' bridal shower Serena Williams leaves fans split with controversial parenting confession as tennis legend opens up on'discipline' incident with daughter'No more Mr Nice Guy!': Trump warns Iran to'get smart' and'sign non-nuclear deal' with image of him brandishing assault rifle - as oil prices spike once more The surprise state cashing in big as Californians flee in droves... and the $672-a-month reason why What REALLY goes on in some Equinox steam rooms: Gym insiders reveal eye-popping indecency... secret towel signals used by experimental married men... and clubs with most'aggressive' locker rooms Fox News's Jesse Watters, 47, takes his young wife, 33, to state dinner after causing stir with story of how he seduced her Truth about Jordan Peterson's catastrophic decline: Inside his living hell, dumbstruck and in'overwhelming pain' locked up on $50m estate... as friends point finger about REAL cause Worrying shift as restaurant chain rolls out no-seating stores - sparking fears this is just the start of a'corporate purge of the American dining room' Shocking footage has revealed the moment a dancing robot went rogue at a school sports day.

PCWorld reports that Intel's CPU supply chain is stabilizing as demand surges for agentic AI applications requiring enhanced processing power.

In this paper, it is shown, for the first time, that centralized performance is achievable in decentralized learning without sharing the local datasets. Specifically, when clients adopt an empirical risk minimization with relative-entropy regularization (ERM-RER) learning framework and a forward-backward communication between clients is established, it suffices to share the locally obtained Gibbs measures to achieve the same performance as that of a centralized ERM-RER with access to all the datasets. The core idea is that the Gibbs measure produced by client~$k$ is used, as reference measure, by client~$k+1$. This effectively establishes a principled way to encode prior information through a reference measure. In particular, achieving centralized performance in the decentralized setting requires a specific scaling of the regularization factors with the local sample sizes. Overall, this result opens the door to novel decentralized learning paradigms that shift the collaboration strategy from sharing data to sharing the local inductive bias via the reference measures over the set of models.

Forecasting the life-cycle trajectory of a newly launched product is important for launch planning, resource allocation, and early risk assessment. This task is especially difficult in the pre-launch and early post-launch phases, when product-specific outcome history is limited or unavailable, creating a cold-start problem. In these phases, firms must make decisions before demand patterns become reliably observable, while early signals are often sparse, noisy, and unstable We propose the Conditional Diffusion Life-cycle Forecaster (CDLF), a conditional generative framework for forecasting new-product life-cycle trajectories under cold start. CDLF combines three sources of information: static descriptors, reference trajectories from similar products, and newly arriving observations when available. Here, static descriptors refer to structured pre-launch characteristics of the product, such as category, price tier, brand or organization identity, scale, and access conditions. This structure allows the model to condition forecasts on relevant product context and to update them adaptively over time without retraining, yielding flexible multi-modal predictive distributions under extreme data scarcity. The method satisfies consistency with a horizon-uniform distributional error bound for recursive generation. Across studies on Intel microprocessor stock keeping unit (SKU) life cycles and the platform-mediated adoption of open large language model repositories, CDLF delivers more accurate point forecasts and higher-quality probabilistic forecasts than classical diffusion models, Bayesian updating approaches, and other state-of-the-art machine-learning baselines.

The elite Wall Street law firm Sullivan & Cromwell has told a court that a major filing it made in a high-profile case contained errors resulting from hallucinations generated by artificial intelligence. Andrew Dietderich, the co-head of the firm's global restructuring group, apologised in a letter to the New York federal judge Martin Glenn on Saturday for the string of mistakes, which included inaccurate citations. The errors, uncovered by the law firm Boies Schiller Flexner (BSF), which was also working on the case, included misquoting the US bankruptcy code and citing cases incorrectly in a filing made on 9 April. In multiple instances, S&C, which employs more than 900 lawyers and has one of the top reputations for corporate work in the US, filed inaccurately summarised conclusions made in other cases using AI. "We deeply regret that this has occurred," said Dietderich in the letter.

Transformer-based scientific foundation models are increasingly deployed in high-stakes settings, but current architectures give deterministic outputs and provide limited support for calibrated predictive uncertainty. We propose Stochastic Attention, a lightweight inference-time modification that randomizes attention by replacing softmax weights with normalized multinomial samples controlled by a single concentration parameter, and produces predictive ensembles without retraining. To set this parameter, we introduce a calibration objective that matches the stochastic attention output with the target, yielding an efficient univariate post-hoc tuning problem. We evaluate this mechanism on two scientific foundation models for weather and timeseries forecasting along with an additional regression task. Across benchmarks against uncertainty-aware baselines, we find that Stochastic Attention achieves the strongest native calibration and the sharpest prediction intervals at comparable coverage, while requiring only minutes of post-hoc tuning versus days of retraining for competitive baselines.

Trump EXTENDS Iran ceasefire again as he backs off bombing threat amid chaos among'seriously fractured' Tehran leadership Anna Kepner's stepbrother skips court appearance as prosecutors fight to put him behind bars amid rape and murder charges New'Hollywood dose' pill: A-listers hooked on'youth elixir' that dermatologists say is anti-aging, shrinks pores, smooths wrinkles... and even banishes rosacea Truth about your Mounjaro injection site: Our expert doctors reveal exactly where you should inject yourself for the best results, what to do if your weight loss has slowed down... and the areas you should NEVER jab Driver who hit and killed jogger father-of-two sues victim's estate claiming incident left him with severe PTSD World Series winner and MLB great Garret Anderson's cause of death revealed after his sudden passing at 53 Sydney Sweeney's role is cut from The Devil Wears Prada 2 Alarm over popular new coffee chain invading the US... as experts warn of chilling secret behind its $1.99 brew Days after we got engaged, the love of my life told me he'd killed a man and buried him in a bog. I reported him to police... but then I made this irreversible mistake Ark of the Covenant's final resting place pinpointed by archaeologists as fresh search begins Wealthy realtor, 86, who'loved the finer things' disappeared into California desert after fight with daughter and grandson... then a livestreamer made horrific discovery at beauty spot Life-threatening cantaloupe recall in four states upgraded to FDA's highest risk level... 'reasonable probability of death' MORE: Death of Air Force whistleblower set to reveal UFO secrets declared'suspicious' One of the leading voices pushing for UFO disclosure has made a shocking connection between an ancient biblical text and the existence of alien life. Congresswoman Anna Paulina Luna of Florida recently posted two cryptic messages on X, one telling people to'Read the book of Enoch' and the other displaying the 15th-century painting nicknamed the ' Madonna of the UFO.' It is the latest reference the chairwoman of the House Oversight Committee's hearings on UFOs has made to the Book of Enoch while speaking about extraterrestrials and alien spacecraft. The book is an ancient Jewish religious text, written in stages between 300 and 100 BC, attributed to the biblical figure Enoch, the great-grandfather of Noah.

Trump EXTENDS Iran ceasefire again as he backs off bombing threat amid chaos among'seriously fractured' Tehran leadership Anna Kepner's stepbrother skips court appearance as prosecutors fight to put him behind bars amid rape and murder charges New'Hollywood dose' pill: A-listers hooked on'youth elixir' that dermatologists say is anti-aging, shrinks pores, smooths wrinkles... and even banishes rosacea Truth about your Mounjaro injection site: Our expert doctors reveal exactly where you should inject yourself for the best results, what to do if your weight loss has slowed down... and the areas you should NEVER jab Driver who hit and killed jogger father-of-two sues victim's estate claiming incident left him with severe PTSD World Series winner and MLB great Garret Anderson's cause of death revealed after his sudden passing at 53 Sydney Sweeney's role is cut from The Devil Wears Prada 2 Alarm over popular new coffee chain invading the US... as experts warn of chilling secret behind its $1.99 brew Days after we got engaged, the love of my life told me he'd killed a man and buried him in a bog. I reported him to police... but then I made this irreversible mistake Ark of the Covenant's final resting place pinpointed by archaeologists as fresh search begins Wealthy realtor, 86, who'loved the finer things' disappeared into California desert after fight with daughter and grandson... then a livestreamer made horrific discovery at beauty spot Life-threatening cantaloupe recall in four states upgraded to FDA's highest risk level... 'reasonable probability of death' Space scientists spot a'sea slug'... can you see it? Space scientists have released a jaw-dropping image of a space'sea slug'. The stunning picture was taken by NASA's Hubble space telescope which is celebrating it's 36th birthday this week. Situated about 5,000 light-years from Earth, is a star-formation region called the Trifid Nebula which Hubble captured in all its cosmic wonder.

Why did Trump fire Pam Bondi? Trump's US Fed nominee Warsh vows independence, says he's no'sock puppet' Kevin Warsh, United States President Donald Trump's pick to lead the Federal Reserve, has addressed concerns about his independence pending his appointment to the bank amid fears that Trump could sway his decisions on monetary policy. On Tuesday, Warsh -- who served on the central bank's Board of Governors from 2006 to 2011 -- faced waves of criticism during a confirmation hearing of the Senate Banking Committee where Democrats voiced concerns about the Fed's independence should he be appointed to lead the organisation. "I do not believe the operational independence of monetary policy is particularly threatened when elected officials -- presidents, senators, or members of the House -- state their views on interest rates," Warsh said. "Monetary policy independence is essential. Monetary policymakers must act in the nation's interest . . . Warsh, 56, also called for "regime change" at the US central bank, including a new approach for controlling inflation and a communications overhaul that may discourage his colleagues from saying too much about the direction of monetary policy. Warsh blamed the central bank for an inflation surge after it slashed interest rates to nearly zero in the wake of the COVID-19 pandemic, a move that continues to hurt US households. Concerned by the implications of artificial intelligence for jobs - expected to increase productivity - and prices, he said he would move quickly to see if new data tools could provide better insight on inflation, and would also discourage policymakers from saying too much about where interest rates might be heading. "What the Fed needs are reforms to its frameworks and reforms to its communications," the former Fed governor said. "Too many Fed officials opine about where interest rates should be That is quite unhelpful." Warsh has also long been an advocate for shrinking the Fed's $6.7 trillion balance sheet. In the Tuesday hearing, he said any such plans would take time and must be publicly discussed well in advance. Jai Kedia, a research fellow at the Center for Monetary and Financial Alternatives at the libertarian Cato Institute, told Al Jazeera that there were many "encouraging" signs in Warsh's candidacy. "Warsh is presenting himself as a regime change candidate at a time when the Fed needs serious reform," Kedia noted. "Particularly encouraging was his understanding of the negative effects of QE and his focus on reducing the balance sheet.