What is in the 28-point US plan for Ukraine? 'Ukraine is running out of men, money and time' Can the US get all sides to end the war? Why is Europe opposing Trump's peace plan? Ukraine drones kill 3 in Russia's Rostov as EU debates war funding for Kyiv Ukraine has hit Russia's southern region of Rostov with an overnight drone attack that killed three people, as European countries strive to unlock Russian assets to help Kyiv and United States-led efforts to end the war have yet to yield any tangible results. Yury Slyusar, the acting regional governor of the Rostov region, said on Telegram on Thursday that the attack caused a fire on a cargo ship that had been extinguished, with two crew members killed and three left injured. Using Russia's money to aid Ukraine The attack on the region, the latest in a series of nightly Ukrainian raids deep inside Russian territory, came after Ukrainian President Volodymyr Zelenskyy urged European Union leaders meeting in Brussels on Thursday to approve plans that would release 210 billion euros ($247bn) of frozen Russian assets to assist his country.

Kimberly Guilfoyle's bitter reaction to Don Jr's engagement with Bettina Anderson as scorned ex insists she'wants what's best' for the first son Simone Biles is slammed by furious animal rights activists after allegedly chopping her dog's EARS off The full story of Nick Reiner and these murders is so much more unbearable than everyone thinks. Even Hollywood wouldn't dare write it: MAUREEN CALLAHAN I sneakily looked at my perfect son's phone... What a terrible mistake! Rob Reiner and his wife's cause of death revealed'It was a cover up': Kirsty MacColl's ex-husband speaks out 25 years on from Fairytale of New York singer's death... and says she was'killed by speedboat driven by the richest man in Mexico' Reiner family bombshell as insiders reveal who is paying for Nick's celebrity lawyer... their secret motive... and who will REALLY inherit $200m fortune Trump's border patrol boss gets in VERY public spat with city mayor as he gives him rude awakening Chilling new video of Nick Reiner making disturbing comments about murder... as friend reveals dad Rob's tragic failed attempt to save him: 'I'm going to kill that f***ing dog' Tara Reid speaks out for the first time since THAT video emerged... and tells KATIE HIND why she is convinced she was spiked after watching CCTV How Bettina Anderson's engagement ring measures up to Kimberly Guilfoyle's... and which Don Jr spent most money on Elon Musk is blasted on social media over'pathetic' comments about Sydney Sweeney's breasts Biohacker Bryan Johnson says he will be immortal in 15 years... as he finally'cracks' the secret to living forever Natalee Holloway's killer Joran van der Sloot attempts to take his own life inside maximum-security Peruvian prison Chilling new details of father's death a day before facing justice for leaving his daughter, 2, to die in a hot car Pouty dine-and-dash diva interrupts judge MULTIPLE times as she's hauled to court for bill-skipping spree Sign up for our US Editor's Picks newsletter to get all the biggest exclusive stories A small town sheriff has admitted he is perplexed by a series of mysterious flying objects which have been bewildering locals in his Wyoming community for more than a year. Unidentified flying objects [ UFOs ] have been regularly spotted for 13 months above the Jim Bridger Power Plant and Sweetwater County's Red Desert. John Grossnickle, the Sheriff of Sweetwater County, saw lit-up, drone-like objects as recently as December 13, his spokesman Jason Mower told Cowboy State Daily .

The exhibition is scheduled to continue through Friday. Rapidus, Japan's government-backed semiconductor developer, is betting on artificial intelligence-enhanced design tools to give it an edge over its competitors, in an effort to speed up its chip-design process and minimize costs. The firm made the announcement during Semicon, a semiconductor-industry event being held in Tokyo from Wednesday to Friday at the Tokyo Big Sight convention center. Rapidus' newly announced suite of offerings, which will be rolled out next year, includes Raads Generator, an AI-assisted design tool modeled on large-scale language models -- AI systems trained on datasets -- and optimized for 2-nanometer chip manufacturing. In a time of both misinformation and too much information, quality journalism is more crucial than ever.

Arabic is one of the world's most widely spoken languages with at least 400 million speakers, including 200 million native speakers and 200 million to 250 million non-native speakers. Modern Standard Arabic (MSA) serves as the formal language for government, legal matters and education, and it is widely used in international and religious contexts. Additionally, more than 25 dialects are spoken primarily across the Middle East and North Africa. The date was chosen to mark the day in 1973 on which the UN General Assembly adopted Arabic as one of its six official languages. In the following visual explainer, Al Jazeera lists some of the most common words in today's English language that originated from Arabic or passed through Arabic before reaching English.

Japan's top uniformed military officer, Gen. Hiroaki Uchikura, listens during an interview with The Japan Times at the Defense Ministry in Tokyo on Monday. Imagine hundreds if not thousands of enemy missiles and artificial intelligence-enabled drones speeding toward your country, some at hypersonic speeds, capable of overwhelming your air defenses. But for Japan's top uniformed military officer, reinforcing the country's defense capabilities to counter these complex and diverse threats is not just a concern, it's become one of his top priorities. In a time of both misinformation and too much information, quality journalism is more crucial than ever. By subscribing, you can help us get the story right.

The National Police Agency plans to warn against the obscene use of AI at delinquency-prevention lectures at schools and other events. More than half of cases reported to Japanese police of explicit deepfakes targeting those aged under 18 were created with the involvement of students from the same schools as the victims, National Police Agency data have shown. This is the first time that the NPA has released information on minors who became victims of obscene fake images created using generative artificial intelligence and other technologies. The agency plans to create flyers and warn against such use of AI at delinquency-prevention lectures at schools and other locations. According to the NPA, police were consulted over 79 cases of deepfakes targeting those up to the age of 17 from January to September this year.

Rob Reiner and his wife's cause of death revealed Dan Bongino announces he's QUIT FBI to return to popular talk show The full story of Nick Reiner and these murders is so much more unbearable than everyone thinks. Even Hollywood wouldn't dare write it: MAUREEN CALLAHAN I sneakily looked at my perfect son's phone... What a terrible mistake! US car dealer charged with FRAUD after bankruptcy revealed depths of American's debt crisis Tara Reid speaks out for the first time since THAT video emerged... and tells KATIE HIND why she is convinced she was spiked after watching CCTV Chilling new details of father's death a day before facing justice for leaving his daughter, 2, to die in a hot car Pouty dine-and-dash diva interrupts judge MULTIPLE times as she's hauled to court for bill-skipping spree Karoline Leavitt close-up from Vanity Fair's Susie Wiles interview sparks fury: 'Shameful' Symptoms of deadly'super flu' sweeping the US explained and how to tell it apart from Covid Earthquakes stir fear in America's Heartland as deadly fault zone awakens Scandal rocks Trump's deportation force: DHS insiders say boss Kristi Noem's'lover' made'unethical, immoral' requests to agency leaders Disgraced Michigan coach Sherrone Moore had'long history' of domestic violence against victim of alleged knife attack, lawyer claims'Flowing red blood' surging in Persian Gulf sparks wild claims that God's biblical plagues have returned Evidence is'far too limited' to definitively say artificial intelligence hasn't made the leap, expert claims READ MORE: T here may already be a'slightly conscious' AI out in the world Artificial intelligence ( AI) is already helping to solve problems in finance, research and medicine. But could it be reaching consciousness? Dr Tom McClelland, a philosopher from the University of Cambridge has warned that current evidence is'far too limited' to rule this dystopian possibility out.

Partial Least Squares (PLS) is a widely used method for data integration, designed to extract latent components shared across paired high-dimensional datasets. Despite decades of practical success, a precise theoretical understanding of its behavior in high-dimensional regimes remains limited. In this paper, we study a data integration model in which two high-dimensional data matrices share a low-rank common latent structure while also containing individual-specific components. We analyze the singular vectors of the associated cross-covariance matrix using tools from random matrix theory and derive asymptotic characterizations of the alignment between estimated and true latent directions. These results provide a quantitative explanation of the reconstruction performance of the PLS variant based on Singular Value Decomposition (PLS-SVD) and identify regimes where the method exhibits counter-intuitive or limiting behavior. Building on this analysis, we compare PLS-SVD with principal component analysis applied separately to each dataset and show its asymptotic superiority in detecting the common latent subspace. Overall, our results offer a comprehensive theoretical understanding of high-dimensional PLS-SVD, clarifying both its advantages and fundamental limitations.

Spatial boundaries, such as ecological transitions or climatic regime interfaces, capture steep environmental gradients, and shifts in their structure can signal emerging environmental changes. Quantifying uncertainty in spatial boundary locations and formally testing for temporal shifts remains challenging, especially when boundaries are derived from noisy, gridded environmental data. We present a unified framework that combines heteroskedastic Gaussian process (GP) regression with a scaled Maximum Absolute Difference (MAD) Global Envelope Test (GET) to estimate spatial boundary curves and assess whether they evolve over time. The heteroskedastic GP provides a flexible probabilistic reconstruction of boundary lines, capturing spatially varying mean structure and location specific variability, while the test offers a rigorous hypothesis testing tool for detecting departures from expected boundary behaviors. Simulation studies show that the proposed method achieves the correct size under the null and high power for detecting local boundary shifts. Applying our framework to the Sahel Sahara transition zone, using annual Koppen Trewartha climate classifications from 1960 to 1989, we find no statistically significant decade scale changes in the arid and semi arid or semi arid and non arid interfaces. However, the method successfully identifies localized boundary shifts during the extreme drought years of 1983 and 1984, consistent with climate studies documenting regional anomalies in these interfaces during that period.

In this work, inspired by machine learning techniques, we propose a new Bayesian model for Small Area Estimation (SAE), the Fay-Herriot model with Spectral Clustering (FH-SC). Unlike traditional approaches, clustering in FH-SC is based on spectral clustering algorithms that utilize external covariates, rather than geographical or administrative criteria. A major advantage of the FH-SC model is its flexibility in integrating existing SAE approaches, with or without clustering random effects. To enable benchmarking, we leverage the theoretical framework of posterior projections for constrained Bayesian inference and derive closed form expressions for the new Rao-Blackwell (RB) estimators of the posterior mean under the FH-SC model. Additionally, we introduce a novel measure of uncertainty for the benchmarked estimator, the Conditional Posterior Mean Square Error (CPMSE), which is generalizable to other Bayesian SAE estimators. We conduct model-based and data-based simulation studies to evaluate the frequentist properties of the CPMSE. The proposed methodology is motivated by a real case study involving the estimation of the proportion of households with internet access in the municipalities of Colombia. Finally, we also illustrate the advantages of FH-SC over existing Bayesian and frequentist approaches through our case study.