This led to successful applications of Neural ODEs in machine learning.

'My son genuinely believed it was real': Parents are letting little kids play with AI. Some believe AI can spark their child's imagination through personalized stories and generative images. Josh was at the end of his rope when he turned to ChatGPT for help with a parenting quandary. The 40-year-old father of two had been listening to his "super loquacious" four-year-old talk about Thomas the Tank Engine for 45 minutes, and he was feeling overwhelmed. "He was not done telling the story that he wanted to tell, and I needed to do my chores, so I let him have the phone," recalled Josh, who lives in north-west Ohio. "I thought he would finish the story and the phone would turn off."

Shroud of Turin mystery deepens as surgeon spots hidden detail that points to Jesus' resurrection I was so happy after trying a trendy new cosmetic procedure. But 10 years later I suffered a devastating side effect... the doctor had lied I'm no longer sleeping with my husband - and never will again, says MOLLY RYDDELL. I love him, but counted down the moments until he climaxed. Then I couldn't bear it any more and the truth spilled out... so many women feel the same The'middle-class kinks' saving marriages: Wives reveal the eight buzzy sex trends that revived their lagging libidos - including the fantasy husbands are secretly obsessed with I'm a woman with autism... here are the signs you might be masking, even from yourself Lori Loughlin's husband Mossimo Giannulli seen with mystery brunette in tiny skirt day after shock split Body count from Houston's bayous rises as serial killer whispers grip city and residents are told: 'Be vigilant' Cake-faced 90s sitcom star looks unrecognizable as she ditches the heavy eyeshadow for an LA errand run can you guess who? Trump dollar coin design released by Treasury... and it's inspired by the most iconic political photo of the century I've loved Taylor Swift for years. Mystery deepens over Hulk Hogan's death as his widow faces fresh anguish Prison chief reveals exactly where Diddy could end up... and the one horrifying jail he MUST avoid Is THIS Amelia Earhart's missing plane?

Matrix factorization (MF) collaborative filtering is an effective and widely used method in recommendation systems. However, the problem of finding an optimal trade-off between exploration and exploitation (otherwise known as the bandit problem), a crucial problem in collaborative filtering from cold-start, has not been previously addressed. In this paper, we present a novel algorithm for online MF recommendation that automatically combines finding the most relevant items with exploring new or less-recommended items. Our approach, called Particle Thompson sampling for MF (PTS), is based on the general Thompson sampling framework, but augmented with a novel efficient online Bayesian probabilistic matrix factorization method based on the Rao-Blackwellized particle filter. Extensive experiments in collaborative filtering using several real-world datasets demonstrate that PTS significantly outperforms the current state-of-the-arts.

Neural Information Processing Systems http://nips.cc/

The UK's most scenic train routes revealed - and tickets start from just £4.20 Do YOU want to work from a sun lounger? It's never too late to book - a great holiday is just around the corner! Here's our edit of the best last-minute holiday destinations that everyone will LOVE The beloved Dorset hotel'in disrepair' set to finally make a comeback My night inside the world's biggest capsule hotel where stays start from just £30 Terrifying swing throws you through the air at 131ft in Scotland - would YOU pay £90 for it? Woman shares'genius' packing hacks that can save time and hassle on your next trip The Wetherspoons hotel that's been named one of the UK's best pubs - and it's on the beach The'indulgent' Christmas Day brunch at a London luxury hotel is returning - here's how much it will cost Where to find the 26-mile railway that changed train travel forever - and it's right here in the UK Why the'most beautiful country you've never heard of' in Central Asia should be next on your list Inside the world's smallest'divided island' - and how a lighthouse forced the borders to change Airline launches new holiday routes from the UK - including'Greece's best-kept secret' The UK's most historic holiday home revealed - and it's a former jail cell A futuristic £14.5million plane with TV screens instead of windows has been unveiled. The jet, called Phantom 3500, will use technology on the outside of the plane to provide immersive views.

Shroud of Turin mystery deepens as surgeon spots hidden detail that points to Jesus' resurrection I was so happy after trying a trendy new cosmetic procedure. But 10 years later I suffered a devastating side effect... the doctor had lied I'm no longer sleeping with my husband - and never will again, says MOLLY RYDDELL. I love him, but counted down the moments until he climaxed. Then I couldn't bear it any more and the truth spilled out... so many women feel the same The'middle-class kinks' saving marriages: Wives reveal the eight buzzy sex trends that revived their lagging libidos - including the fantasy husbands are secretly obsessed with Lori Loughlin's husband Mossimo Giannulli seen with mystery brunette in tiny skirt day after shock split I'm a woman with autism... here are the signs you might be masking, even from yourself Cake-faced 90s sitcom star looks unrecognizable as she ditches the heavy eyeshadow for an LA errand run can you guess who? Trump dollar coin design released by Treasury... and it's inspired by the most iconic political photo of the century I've loved Taylor Swift for years. Mystery deepens over Hulk Hogan's death as his widow faces fresh anguish Body count from Houston's bayous rises as serial killer whispers grip city and residents are told: 'Be vigilant' Prison chief reveals exactly where Diddy could end up... and the one horrifying jail he MUST avoid The quest to understand dark matter and dark energy is one of modern science's most perplexing questions.

'I think this image should be just as important as the image of the gate in Auschwitz,' says the US-based German historian Jürgen Matthäus. 'I think this image should be just as important as the image of the gate in Auschwitz,' says the US-based German historian Jürgen Matthäus. Thu 2 Oct 2025 03.23 EDTLast modified on Thu 2 Oct 2025 08.22 EDT It is one of the most chilling images of the Holocaust: a bespectacled Nazi soldier trains a pistol at the head of a resigned man kneeling in a suit before a pit full of corpses. The picture taken in today's Ukraine was long known, mistakenly, as The Last Jew in Vinnitsa, and was for decades shrouded in mystery. The US-based German historian Jürgen Matthäus has for years painstakingly assembled the puzzle pieces and, with the help of artificial intelligence, is confident he has identified the killer.

We consider an adversarial formulation of the problem of predicting a time series with square loss. The aim is to predict an arbitrary sequence of vectors almost as well as the best smooth comparator sequence in retrospect. Our approach allows natural measures of smoothness such as the squared norm of increments. More generally, we consider a linear time series model and penalize the compara-tor sequence through the energy of the implied driving noise terms. We derive the minimax strategy for all problems of this type and show that it can be implemented efficiently. The optimal predictions are linear in the previous observations. We obtain an explicit expression for the regret in terms of the parameters defining the problem. For typical, simple definitions of smoothness, the computation of the optimal predictions involves only sparse matrices. In the case of norm-constrained data, where the smoothness is defined in terms of the squared norm of the com-parator's increments, we show that the regret grows as T/ λ

Neural Information Processing Systems http://nips.cc/