I've recently introduced a few friends to the power of a great robot vacuum. One of my friends calls hers a marriage saver, while the other was both thrilled and horrified by how many stains the vacuum's AI found on her floors. Personally, my robot vacuums keep me from wanting to set the litter box on fire, since my cat is on a mission to create his own navigational trail of litter through my home. The best robot vacuums these days aren't just vacuuming your floors, nor are they blindly bumping around your house like they used to. These gadgets are mopping, scrubbing away stains, lifting themselves off of obstacles, and even reminding you to clean the dirtier areas in your home more frequently. A good robot vacuum can cost a pretty penny, but it doesn't have to, depending on what you're looking for. I've been testing every new robot vacuum I can in my three-story home filled with three adults, a preschooler, and a cat who's on a mission to get litter all over the house.

Jessie Buckley'overwhelmed' to be starring in Oscar-tipped Hamnet The Oscar-tipped Hamnet, starring Jessie Buckley and Paul Mescal, is a film that shows the full range of human emotions, from elation to despair. It begins with a young William Shakespeare falling in love with Agnes (the other name by which the playwright's wife, historically referred to as Anne Hathaway, was known), and goes on to explore their immense grief after tragedy strikes their young family. But while it explores the sad origins of one of Shakespeare's greatest plays, Hamlet, it never portrays Agnes as just the playwright's wife - she is at the heart of the film. She was the full story of what I understand a woman to be, Buckley tells BBC News. And their capacity as women, and as mothers, and as lovers, and as people who have a language unto their own beside gigantic men of literature like Shakespeare.

Whenever I fantasise about a couple of hours of uninterrupted relaxation during the chilly winter months, my mind immediately conjures up images of curling up on the sofa with a deliciously good book. And when summer eventually comes around, just swap the location to a sun lounger in the back garden (or somewhere more exotic). So with 2026 nearly upon us, join me for an eclectic taste of a few literary delights worth feasting upon over the next 12 months. It's the final instalment of Oseman's hit graphic novel series which has followed the lives of Nick and Charlie, two teenage boys who fall for each other at school. Along with their friends, we've followed all the ups and downs of their relationship as they navigated family drama, homophobia and mental health issues, alongside the joy of first love.

If 2024 was the year of large language models (LLMs), then 2025 looks like the year of AI "agents". These are quasi-intelligent systems that harness LLMs to go beyond their usual tricks of generating plausible text or responding to prompts. The idea is that an agent can be given a high-level – possibly even vague – goal and break it down into a series of actionable steps. Once it "understands" the goal, it can devise a plan to achieve it, much as a human would. OpenAI's chief financial officer, Sarah Friar, recently explained it thus to the Financial Times: "It could be a researcher, a helpful assistant for everyday people, working moms like me. In 2025, we will see the first very successful agents deployed that help people in their day to day."

Comedian Adam Corolla discusses how self-driving cars are causing chaos in San Francisco on'Jesse Watters Primetime.' A former interim mayor of San Francisco announced Tuesday he's running for his previous job, joining a competitive field of candidates who say the city has crumbled under the watch of Mayor London Breed, who is up for reelection this year. Mark Farrell served as interim mayor of San Francisco from January to July 2018, when Breed was elected to finish the term of Ed Lee, who died in office. The lawyer and former city supervisor said he had not planned to return to politics but feels he has the right skills to turn San Francisco around. "It is really painful to watch the city you love and you grew up in maligned across the globe," he said in an interview with The Associated Press.

Various methods have recently been proposed to estimate causal effects with confidence intervals that are uniformly valid over a set of data generating processes when high-dimensional nuisance models are estimated by post-model-selection or machine learning estimators. These methods typically require that all the confounders are observed to ensure identification of the effects. We contribute by showing how valid semiparametric inference can be obtained in the presence of unobserved confounders and high-dimensional nuisance models. We propose uncertainty intervals which allow for unobserved confounding, and show that the resulting inference is valid when the amount of unobserved confounding is small relative to the sample size; the latter is formalized in terms of convergence rates. Simulation experiments illustrate the finite sample properties of the proposed intervals and investigate an alternative procedure that improves the empirical coverage of the intervals when the amount of unobserved confounding is large. Finally, a case study on the effect of smoking during pregnancy on birth weight is used to illustrate the use of the methods introduced to perform a sensitivity analysis to unobserved confounding.

I'm writing this post from the guest room in my mom's house, which is peppered with old knick-knacks of mine--to summon the spirit of my childhood room, I suppose. While flipping through my photo albums, I was tickled to find a blurry picture of the poster for Phone Booth, clearly taken by me on a disposable camera outside of a movie theater. I was probably too young to be watching a gunman thriller--thanks, Mom--but I'm pretty sure my affection for it had a lot to do with Colin Farrell, who was a relative unknown when that movie came out in 2002. To this day, I'm a bit gaga over him, though I think part of the reason my puppy love has turned into something more enduring is that, as I've gotten older and my tastes have evolved, so has the actor's persona. Not to downplay his macho heartthrob phase in the aughts--I still go catatonic whenever I think about him salsa dancing in Miami Vice, and I sense noted MV-heads Bilge and David feel the same way--but it has been a delight to see him take on increasingly stranger, more cerebral roles for directors like Yorgos Lanthimos and Sofia Coppola while also pushing himself, unafraid to get ugly and unhinged, in blockbusters like The Batman.

The basic idea of insurance is based on risk transfer and has been around, in some form, for thousands of years. For example, Chinese merchants travelling through treacherous rivers over two thousand years ago would spread their goods across many vessels to avoid losing everything if a single vessel were to capsize. The use of public storehouse granaries for the purpose of communal protection in the event of a famine is another example. Modern-day insurance can be traced back to events such as the Great Fire of London in 1666. This prompted the development of property insurance, the establishment of Edward Lloyd's London coffee shop (which became a central place for marine insurance to develop and eventually the famous Lloyd's of London insurance market) and the founding of the Amicable Society for a Perpetual Assurance Office in 1706 and the Equitable Life Assurance Society in 1762.

Headlines were made earlier this year when a new rapper dropped new music on – where else – TikTok. Tens of millions of followers signed up to listen to songs powered not by artistic nous but artificial intelligence (AI). Are rappers just the latest cohort of the jobs market to fall foul of AI and its staggering potential? We have been warned for years that AI is poised to take over the world of work, with many jobs simply ceasing to exist as machines finally win the war against man. We already know it can beat us at chess.

This doesn't always necessarily mean grand shots of spaceships or far-flung planets. For every lavish spectacle like Dune, there are many more smaller-scale sci-fi movies with modest or nonexistent special effects budgets. These movies must use other methods to flesh out their futuristic visions. An atmospheric soundtrack can go far to create a thrilling mood. Clever set design, like the homebrewed time machine in Primer or the quantum-computer cables strung through the woods in Lapsis, can immerse audiences in a new world without cutting-edge CGI.