AOC hit by shockingly crude sex insult by White House after she mocked'TINY' Stephen Miller Biden ordered CIA cover-up of his'corrupt' business ties to Ukraine, astonishing secret files show NYC girls aged 12 and 13 meet tragic end after going subway surfing across Williamsburg Bridge at 3.10am ERIC TRUMP: The darkest day in my dad's marriage to Melania... before the ugly truth was exposed More girls are starting their periods younger than ever before - scientists think they've finally found what's causing it Taylor Swift reveals truth behind raunchy song about Travis Kelce's manhood Meghan is accused of'giggling as model stumbles on the catwalk': More Paris Fashion Week disasters emerge, including awkward moment with Kristin Scott Thomas The TRUTH to the doting mother who slaughtered her children and husband told by those she'd been quietly tormenting for years The troubled background of delivery man stabbed by Mark Sanchez... as he launches million-dollar lawsuit and sparks civil war at Fox Revealed: Which slimming jab REALLY works best. The doctors' ultimate expert guide on which to pick, how to save money, beat every side effect... and what you need to know about the'golden dose' I haven't heard that name in so long' Ominous warning for humanity as birds suddenly adopt'unsettling' behavior And a humiliating lifeline: Backroom secrets of Taylor Swift and Blake Lively... after hit new song Bottled water contains dangerous levels of microplastics that lodge in vital organs and raise cancer risk', scientists warn Sea level rise could plunge 100 MILLION buildings underwater, warn scientists - so, is your home at risk? Rising sea levels could plunge more than 100 million buildings underwater by 2100, scientists have warned. The experts in Canada estimated how many buildings in Africa, Southeast Asia and Central and South America would be flooded by different sea level changes. Their assessment found that sea level rises of just 1.6 feet (0.5 metres) would flood three million buildings in the global south alone.

Policy targets evolve faster than the Couple Model Intercomparison Project cycles, complicating adaptation and mitigation planning that must often contend with outdated projections. Climate model output emulators address this gap by offering inexpensive surrogates that can rapidly explore alternative futures while staying close to Earth System Model (ESM) behavior. We focus on emulators designed to provide inputs to impact models. Using monthly ESM fields of near-surface temperature, precipitation, relative humidity, and wind speed, we show that deep generative models have the potential to model jointly the distribution of variables relevant for impacts. The specific model we propose uses score-based diffusion on a spherical mesh and runs on a single mid-range graphical processing unit. We introduce a thorough suite of diagnostics to compare emulator outputs with their parent ESMs, including their probability densities, cross-variable correlations, time of emergence, or tail behavior. We evaluate performance across three distinct ESMs in both pre-industrial and forced regimes. The results show that the emulator produces distributions that closely match the ESM outputs and captures key forced responses. They also reveal important failure cases, notably for variables with a strong regime shift in the seasonal cycle. Although not a perfect match to the ESM, the inaccuracies of the emulator are small relative to the scale of internal variability in ESM projections. We therefore argue that it shows potential to be useful in supporting impact assessment. We discuss priorities for future development toward daily resolution, finer spatial scales, and bias-aware training. Code is made available at https://github.com/shahineb/climemu.

Learning dynamics is essential for model-based control and Reinforcement Learning in engineering systems, such as robotics and power systems. However, limited system measurements, such as those from low-resolution sensors, demand sample-efficient learning. Symmetry provides a powerful inductive bias by characterizing equivariant relations in system states to improve sample efficiency. While recent methods attempt to discover symmetries from data, they typically assume a single global symmetry group and treat symmetry discovery and dynamic learning as separate tasks, leading to limited expressiveness and error accumulation. In this paper, we propose the Latent Mixture of Symmetries (Latent MoS), an expressive model that captures a mixture of symmetry-governed latent factors from complex dynamical measurements. Latent MoS focuses on dynamic learning while locally and provably preserving the underlying symmetric transformations. To further capture long-term equivariance, we introduce a hierarchical architecture that stacks MoS blocks. Numerical experiments in diverse physical systems demonstrate that Latent MoS outperforms state-of-the-art baselines in interpolation and extrapolation tasks while offering interpretable latent representations suitable for future geometric and safety-critical analyses.

Can Ukraine restore its pre-war borders? Why are Tomahawk missiles for Ukraine a'red line' for Russia? Is Russia testing NATO with aerial incursions in Europe? One person was killed and about 30 others injured after two Russian drones struck trains at a station in Ukraine's northern Sumy region. Ukrainian President Volodymyr Zelenskyy accused Russia of "terrorism", while Foreign Minister Andrii Sybiha said Moscow deliberately targeted civilians during the attack.

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At least 30 people have been injured following a Russian drone strike on a railway station in north-east Ukraine, Ukrainian President Volodymy Zelensky has said. In a post on X, he said that preliminary reports indicated train staff and passengers were at the site of the strike in the city of Shostka, in the Sumy region. Emergency services are on the scene and have begun helping people, he said, adding that information regarding the injured was still being established. He also posted a video showing a damaged train carriage on fire. The Russians could not have been unaware that they were targeting civilians.

Flights have resumed at Germany's Munich airport after unconfirmed drone sightings forced it to suspend operations for the second time in 24 hours. In a statement on Friday evening, the airport said that flights were stopped at 21:30 local time (20:30 GMT), with around 6,500 passengers affected. At least 17 flights were also grounded in Munich on Thursday evening due to multiple drone sightings in nearby airspace. It was the latest in a series of incidents involving drones that have disrupted aviation in Europe in recent weeks. On Saturday morning, Munich airport said flights had been gradually ramped up, but warned that delays were expected throughout the day.

Science Archaeology The search for Cleopatra's long-lost tomb leads to sunken seaport A new documentary explores this 2,000-year-old mystery and a connection to the RMS'Titanic.' Breakthroughs, discoveries, and DIY tips sent every weekday. She's among the most famous leaders in world history, yet archeologists still don't know the location of Egyptian Queen Cleopatra's tomb. Now, National Geographic Explorer and archaeologist Dr. Kathleen Martínez and her team have uncovered a major clue in their 20-year-long hunt: the remains of a port off Egypt's Mediterranean coast. The previously unknown ancient port could have been used to keep the Egyptian queen's remains out of Roman hands.

Germany's Munich airport has resumed operations after drone sightings led to the cancellation of 17 flights, the diversion of 15 others and the stranding of some 3,000 passengers. Flights had restarted by early Friday, with flight tracking websites showing planes departing the airport at about 5:50am (03:50 GMT). At least 19 Lufthansa flights were affected, either cancelled or re-routed, because of the airport suspension, the spokesperson added. Earlier, the airport said that drone sightings were first reported by German air traffic control at 10:18pm local time [20:18 GMT] on Thursday, leading initially to a restriction on flights, which was then upgraded to a full suspension. Germany's DPA news agency said police reported that several people had seen a drone near the airport, with later sightings of a drone over the airport grounds.

Germany's Munich airport has reopened after several drone sightings forced it to close and cancel more than a dozen flights on Thursday night. At least 17 flights were grounded in Munich, affecting nearly 3,000 passengers, while the airport said it diverted a further 15 flights to nearby cities. On Friday, a spokesperson for German flag carrier Lufthansa said flight operations have since resumed according to schedule. There was no immediate confirmation of where the drones had come from. Several airports across Europe have closed down in recent weeks because of unidentified drones.