Daycare scandal deepens as unearthed video shows parents'pretending to drop kids off before they all leave just MINUTES later' Incredible Chinese military feat has chilling consequences for America and its allies as new'High North' threat emerges Everyone's getting sacked': An electrifying phone call, spiralling costs and a troubling'transition'... as Harry and Meghan's most loyal aide leaves, insiders tell ALISON BOSHOFF what's really going on behind the scenes I was told my weight gain, facial hair and fatigue were normal. Astronaut reveals depression after an'avalanche of misogyny' following Blue Origin all-female space flight The mob used Marilyn Monroe as bait to blackmail the Kennedys. And when it didn't work she was murdered... in the most obscene way George Clooney, wife Amal and their eight-year-old twins become French citizens despite the actor admitting he's'bad' at speaking the language Blonde-haired teenage girl reveals what she thinks of Elon Musk's'creepy' public lust for her CIA'carries out drone strike' on Venezuelan drug port in first US land attack inside the country I shed a staggering 100lbs WITHOUT Ozempic: How I conquered my'out of control' eating habits to transform my life with a simple change Grim details of how shark lover's body was identified after she was killed by one of the predators while swimming off California coast US strikes'terrorist boat' lurking in international waters as dramatic footage shows devastating moment of impact A Boy Scout vanished in the mountains then stumbled into a police station 12 years later. The tale gripped social media... but then the truth came out Inside the somber birthday of Rob Reiner's heartbroken daughter Romy: Pictured for first time since parents' murders... she seeks solace at the beach with boyfriend and family by her side Daycare accused of multimillion-dollar fraud shifts blame for'revealing' mistake above its front door... as kids are suddenly'trucked in' David Muir's stunning $7m lakeside retreat revealed... as locals in cozy town where ABC News star can be himself offer intriguing glimpses into his private life Loch Ness Monster has been'spotted' FIVE times this year, official records show The Loch Ness Monster was'spotted' five times in 2025, official records have revealed. The mythical creature has been a staple feature of Scottish folklore for centuries, but gained worldwide attention in 1933, when the first photo was snapped.

When you purchase through links in our articles, we may earn a small commission. An AI prompt engineer's dream: unlimited tokens, side-by-side responses, and lifetime access A ChatPlayground AI Unlimited Plan lifetime subscription gives you unrestricted access to 25+ top models, including ChatGPT, Claude, Gemini, and Llama, for one upfront price of $79 with zero usage caps (MSRP $619). ChatPlayground AI fixes that with a unified dashboard where you can access all of today's top models in a single dashboard without limits. That's the kind of time savings anyone can appreciate, especially heading into a new year with tons of work ahead of all of us. Get started by entering a single prompt and get multiple responses each time.

Trump says US hit'big facility' linked to alleged Venezuelan drug boats Donald Trump has said the US has carried out a strike on a dock area linked to alleged Venezuelan drug boats. The US president said there had been a major explosion where they load the boats up with drugs - but did not give more details. Venezuela's government is yet to respond. The explosion was caused by a drone strike carried out by the CIA, CNN and the New York Times reported, citing sources familiar with the matter. If confirmed, it would be the first known US operation inside Venezuela.

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Daycare accused of multimillion-dollar fraud shifts blame for'revealing' mistake above its front door... as kids are suddenly'trucked in' Pilot best friends die after their helicopters collided in mid-air just after they'd eaten breakfast together at local cafe Everyone's getting sacked': An electrifying phone call, spiralling costs and a troubling'transition'... as Harry and Meghan's most loyal aide leaves, insiders tell ALISON BOSHOFF what's really going on behind the scenes I was told my weight gain, facial hair and fatigue were normal. The mob used Marilyn Monroe as bait to blackmail the Kennedys. And when it didn't work she was murdered... in the most obscene way George Clooney, wife Amal and their eight-year-old twins become French citizens despite the actor admitting he's'bad' at speaking the language Blonde-haired teenage girl reveals what she thinks of Elon Musk's'creepy' public lust for her US strikes'terrorist boat' lurking in international waters as dramatic footage shows devastating moment of impact I shed a staggering 100lbs WITHOUT Ozempic: How I conquered my'out of control' eating habits to transform my life with a simple change Grim details of how shark lover's body was identified after she was killed by one of the predators while swimming off California coast Health and wellness expert reveals the fitness trend of 2026... 'Zone Zero exercise will be essential' Fears Anthony Joshua's car crash injuries are worse than first thought: Sources say £100m Tyson Fury mega-fight is in the balance amid potential internal injuries and psychological trauma of seeing close friends killed Joe Rogan slammed for'pretty girl' comment about champion fighter Dakota Ditcheva A Boy Scout vanished in the mountains then stumbled into a police station 12 years later. The tale gripped social media... but then the truth came out Inside the somber birthday of Rob Reiner's heartbroken daughter Romy: Pictured for first time since parents' murders... she seeks solace at the beach with boyfriend and family by her side Promising young graduate, 23, was coaxed into suicide by ChatGPT'friend', distraught parents allege David Muir's stunning $7m lakeside retreat revealed... as locals in cozy town where ABC News star can be himself offer intriguing glimpses into his private life A snapshot of the universe at work: Incredible image shows'star-making factory' inside a Large Magellanic Cloud A new picture from NASA's Hubble Space Telescope has revealed a beautiful'star-making factory' deep in the universe this week. The image focuses in on a piece of space 160,000 light years from Earth in the Large Magellanic Cloud.

SoftBank Group aims to capitalize on soaring demand for the computing capacity that underpins artificial intelligence applications. SoftBank Group agreed to buy private equity firm DigitalBridge Group for about $3 billion in cash, part of the Japanese conglomerate's push to invest in data centers and other digital infrastructure fueling the artificial intelligence boom. SoftBank will pay $16 per share for New York-listed DigitalBridge, the companies said in statement Monday, confirming an earlier Bloomberg News report. The offer -- valued at $4 billion, including debt -- is a 65% premium to DigitalBridge's closing share price on Dec. 4, the last trading day before talks between the two companies were reported. SoftBank's billionaire founder Masayoshi Son aims to capitalize on soaring demand for digital infrastructure, driven by the AI boom.

Music in 2026: Who's releasing new albums and will Oasis play Knebworth? As the sun sets on 2025, all the year-end lists have been published and it's time to look forward to what 2026 has in store. In many ways, the last 12 months have felt transitional. With relatively few A-list releases, and a Brat-shaped hole in the summer, music seemed to split in two. The charts were agonisingly static: Just three songs held the number one spot hostage for half the year: Taylor Swift's Fate of Ophelia, Huntr/x's Golden, and Alex Warren's Ordinary (never has a song been so aptly titled).

We introduce Iterated Bellman Calibration, a simple, model-agnostic, post-hoc procedure for calibrating off-policy value predictions in infinite-horizon Markov decision processes. Bellman calibration requires that states with similar predicted long-term returns exhibit one-step returns consistent with the Bellman equation under the target policy. We adapt classical histogram and isotonic calibration to the dynamic, counterfactual setting by repeatedly regressing fitted Bellman targets onto a model's predictions, using a doubly robust pseudo-outcome to handle off-policy data. This yields a one-dimensional fitted value iteration scheme that can be applied to any value estimator. Our analysis provides finite-sample guarantees for both calibration and prediction under weak assumptions, and critically, without requiring Bellman completeness or realizability.

We present an online method for guaranteeing calibration of quantile forecasts at multiple quantile levels simultaneously. A sequence of $α$-level quantile forecasts is calibrated if the forecasts are larger than the target value at an $α$-fraction of time steps. We introduce a lightweight method called Multi-Level Quantile Tracker (MultiQT) that wraps around any existing point or quantile forecaster to produce corrected forecasts guaranteed to achieve calibration, even against adversarial distribution shifts, while ensuring that the forecasts are ordered -- e.g., the 0.5-level quantile forecast is never larger than the 0.6-level forecast. Furthermore, the method comes with a no-regret guarantee that implies it will not worsen the performance of an existing forecaster, asymptotically, with respect to the quantile loss. In experiments, we find that MultiQT significantly improves the calibration of real forecasters in epidemic and energy forecasting problems.

Score estimation, the task of learning the gradient of the log density, has become a crucial part of generative diffusion models [Song and Ermon, 2019, Song et al., 2021]. These models achieve state-of-the-art performance in a wide range of domains including images, audio and video synthesis [Dhariwal and Nichol, 2021, Kong et al., 2021, Ho et al., 2022]. To sample from the desired distribution, one needs to have an accurate score function estimator along the Ornstein-Uhlenbeck process. In the context of diffusion models the score estimation is done through the minimization of denoising score matching loss function over the class of neural networks [Song et al., 2021, Vincent, 2011, Oko et al., 2023]. Another recipe for score estimation is implicit score matching proposed by Hyv arinen [2005]. The proposed objective includes not only the score function, but also its Jacobian trace. A crucial research question is to determine the iteration complexity of the distribution estimation given inaccurate score function. The convergence theory of diffusion models has received much attention in the recent years. Some works [De Bortoli, 2022, Chen et al., 2023b, Benton et al., 2024, Li and Y an, 2024] study SDE-based samplers under the assumption that the score estimator is L