Notre-Dame's iconic towers reopen six years after fire The iconic Medieval towers of Notre-Dame Cathedral in Paris have reopened to the public, six years after a massive fire ravaged parts of the historical landmark and forced its closure. The central part of the cathedral was reopened in December 2024, but it has taken longer for Notre-Dame's twin towers to be accessible once again for visitors. A huge restoration project has taken place over the past few years to bring the cathedral back to its former glory after parts of it were substantially damaged during 2019's fire. French President Emmanuel Macron on Friday reopened the newly-restored towers to the public. The BBC's Russia editor, Steve Rosenberg, reports from joint manoeuvres by Russia and Belarus, as part of the Zapad 2025 (West 2025) military drills.

Wealthy enclave sees a spate of'dangerous' incidents that have left residents terrified Charlie Kirk suspect's trans lover had a flirty relationship with ANOTHER man: Family and friends reveal couple's sick web of darkness What IS causing your maddening itch, should you scratch it... and when do you need to see a doctor? Fury as beach town eyes becoming new Vegas: Thousands of residents fear'predatory' casino will erase history Jimmy Kimmel was just the start. America is undergoing a tectonic shift. And the liberal Left, sick beyond help, are totally unprepared for what's coming next: MAUREEN CALLAHAN The sick moment I knew the'Zombie Hunter' was the sadistic serial killer I was looking for William's had a rotten 18 months. Many have remarked he's appeared unusually sombre - and not just when standing next to Prince Andrew.

Ukraine says three killed in'massive' Russian aerial attack At least three people have been killed and more than 30 injured in a massive overnight Russian aerial attack on Ukraine, President Volodymyr Zelensky says. He says regions across the country were targeted as part of a deliberate strategy to intimidate civilians and destroy our infrastructure, with one direct missile hit reported on a residential building. Ukraine's air force says Moscow launched 619 drones and missiles. Russia's defence ministry says its massive strike used precision weapons and targeted military-industrial facilities. Separately, Russia says four people were killed in a Ukrainian drone attack on the Saratov region.

The Metaculus Cup required entrants to forecast the likelihood of 60 events over the summer. The Metaculus Cup required entrants to forecast the likelihood of 60 events over the summer. ManticAI ranked eighth in the Metaculus Cup, leaving some believing bots' prediction skills could soon overtake experts An artificial intelligence system has beaten scores of forecasting enthusiasts, including several professionals, in a contest to predict events ranging from bust-ups between Donald Trump and Elon Musk to Kemi Badenoch being removed from the Conservative party leadership. A British AI startup, co-founded by a former Google DeepMind researcher, has ranked in the top 10 of an international forecasting competition, which requires entrants to forecast the likelihood of 60 events over the summer. ManticAI came eighth in the Metaculus Cup, run by a San Francisco-based forecasting company that tries to predict the future for investment funds and corporations.

After losing nearly six stone since December with the help of weight-loss injections, Emilly Murray has been left with an unwanted reminder of her former body - loose skin. I can't wear what I want to wear, says the 35-year-old from Liverpool. I cannot get my legs out because the skin hangs over my knee so much. While she doesn't regret losing weight for the benefit of her health, Emilly says the loose skin on her thighs really does get me down as it makes her feel self-conscious, and the way she looks naked makes her feel like a catfish. It looks okay when it's all pulled in, but then I feel like, when I take my clothes off, I look like a 90-year-old woman.

David Gandy: 'Britain produces some of the greatest models. We want to keep it that way' The Essex-born supermodel is sitting in his light-filled kitchen, sipping a glass of water and reflecting on his almost 25-year career. At 45, Gandy's striking dark brown hair, sharp cheekbones and piercing blue eyes have been at the centre of some of fashion's most iconic campaigns of the last two decades, and he is one of the few male models to become a household name. I always say that I was inspired by the female supermodels, Gandy says, name-checking Cindy Crawford, Kate Moss and Naomi Campbell. You don't even need to say the surnames.

In the old Camden Town Hall opposite London's St Pancras station, away from the white tie and tails of the pageantry at Windsor Castle, was perhaps the most substantive display of the consequences of Donald Trump's state visit. In front of Prime Minister Sir Keir Starmer, many members of the British and US cabinets and the cream of the European tech industry, a highly-crafted video played, featuring the long history of UK science. It included George Stephenson, Charles Babbage, Ada Lovelace, Alan Turing and Sir Demis Hassabis, with dozens of UK start-up companies from every corner of the country listed. It was a cross between a UK government investment promotion video and the Danny Boyle 2012 Olympic Opening Ceremony, except for one crucial detail - it was voiced by Jensen Huang, the American Nvidia artificial intelligence (AI) and microchip magnate. This week, Trump said the tech tycoon was taking over the world and the boss of the company, which hit a market value of $4tn (£2.9tn) this summer, appears to have gone all-in on the UK in quite an extraordinary way.

When an entry-level Volvo can get to 60 mph quicker than a Porsche 911, and in the same time as a Ferrari, electric car makers need a reset. It's difficult to imagine it happening now, but cars have in the past seriously triggered politicians. Australia's predilection for big, bluff muscle sedans prompted the so-called " supercar scare " in the early '70s, when various state ministers of transport united in calling for a nationwide ban on what one called "bullets on wheels." Fast forward 20 years and the UK's House of Commons found itself debating the Lotus Carlton, in very many ways the successor to those Antipodean bruisers. An outrageous reimagining of a competent but far from stellar Opel/Vauxhall sedan (it was badged the latter in the UK), the Daily Mail decided the nation's moral well-being was imperiled by its very existence.

The skeletal remains of a man who went missing six years ago were found by a walker in a secluded area in south Wales, an inquest has heard. Jordan Moray, from Cwmbach, near Aberdare in Rhondda Cynon Taf, was reported missing from his flat with his games console still running and mobile phone on charge in July 2019. Despite extensive police searches, his remains were not found until 29 August 2025 . On Friday, an inquest at Pontypridd Coroner's Court heard the discovery was made in a remote area near Merthyr Tydfil. South Wales Police previously said it had received a report of human remains near the Llwyn-on Reservoir in Bannau Brycheiniog National Park, also known as the Brecon Beacons .

Lossy data transformations by definition lose information. Yet, in modern machine learning, methods like data pruning and lossy data augmentation can help improve generalization performance. We study this paradox using a solvable model of high-dimensional, ridge-regularized linear regression under 'data coarse graining.' Inspired by the renormalization group in statistical physics, we analyze coarse-graining schemes that systematically discard features based on their relevance to the learning task. Our results reveal a nonmonotonic dependence of the prediction risk on the degree of coarse graining. A 'high-pass' scheme--which filters out less relevant, lower-signal features--can help models generalize better. By contrast, a 'low-pass' scheme that integrates out more relevant, higher-signal features is purely detrimental. Crucially, using optimal regularization, we demonstrate that this nonmonotonicity is a distinct effect of data coarse graining and not an artifact of double descent. Our framework offers a clear, analytical explanation for why careful data augmentation works: it strips away less relevant degrees of freedom and isolates more predictive signals. Our results highlight a complex, nonmonotonic risk landscape shaped by the structure of the data, and illustrate how ideas from statistical physics provide a principled lens for understanding modern machine learning phenomena.