Environment Animals Wildlife Humans' love of crystals goes back at least 6 million years Experiments with chimpanzees show a shared love of shiny things. Crystals have been found along human remains in several archeological dig sites. Breakthroughs, discoveries, and DIY tips sent six days a week. Primates of all stripes really love their crystals. Archeologists have found the shiny rocks at dig sites dating back as long as 780,000 years ago.

Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Alexander brothers' alleged HIGH SCHOOL gang rape video: Classmates speak out on sick'taking turns' footage... as creepy unseen photos are exposed Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Live Nation executives mocked'stupid' concert-goers in emails where they bragged about how to best rip them off: '$60 for closer grass' NFL superstar Xavier Worthy spills all on Travis Kelce, the Chiefs' struggles... and having Taylor Swift as his No 1 fan Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Nancy Mace throws herself into Iran warzone as she goes rogue on Middle East rescue mission: 'I AM that person' Hidden toxins in kids' treats EXPOSED: Health guru Jillian Michaels' sit-down with Casey DeSantis reveals dangers lurking in popular foods Cats turn their noses up at being helpful with humans... and THIS is why they won't lift a paw They say curiosity killed the cat but experts have found the opposite to be true - they are quite happy to watch you struggle, unless they sense a reward. A study has found that while a pet dog or a toddler will help to search for a missing item, the feline of the family won't lift a paw. Researchers from Eotvos Lorand University in Hungary studied the reactions of untrained pet dogs, pet cats and children aged 16-24 months to situations in which a familiar person is hunting for a hidden object. Dogs and children displayed similar behaviour, with more than three-quarters indicating where the object was or retrieving it. Cats, however, paid attention but rarely helped - except when the item was their own treat or toy.

Paleontologists say'Tanyka amnicola' had a jawbone that's a real head-scratcher. Tanyka amnicola lived in prehistoric rivers around 275 million years ago. Breakthroughs, discoveries, and DIY tips sent six days a week. There are quite a few animals considered "living fossils" in today's world. Once thought extinct, the prehistoric coelacanth has continuously swam through Earth's oceans since the time of the dinosaurs.

Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Alexander brothers' alleged HIGH SCHOOL gang rape video: Classmates speak out on sick'taking turns' footage... as creepy unseen photos are exposed Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting NFL superstar Xavier Worthy spills all on Travis Kelce, the Chiefs' struggles... and having Taylor Swift as his No 1 fan Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Nancy Mace throws herself into Iran warzone as she goes rogue on Middle East rescue mission: 'I AM that person' It might sound like a gardener's worst nightmare - but'very hungry caterpillars' should be left to feast on plants this spring, conservationists say. Experts are warning that moths, which caterpillars grow into, have seen their numbers plummet by a third since the 1960s. The insects, which are vital pollinators, are struggling with climate change, pollution and an increasingly built-up Britain. Now, the Royal Horticultural Society (RHS) and The Wildlife Trusts are urging green-fingered households to put up with plants being nibbled by caterpillars in order to boost numbers. They explained that caterpillars need plenty of energy to get plump, ready for transformation into a moth.

We study the implicit bias of momentum-based optimizers on homogeneous models. We first extend existing results on the implicit bias of steepest descent in homogeneous models to normalized steepest descent with an optional learning rate schedule. We then show that for smooth homogeneous models, momentum steepest descent algorithms like Muon (spectral norm), MomentumGD ($\ell_2$ norm), and Signum ($\ell_\infty$ norm) are approximate steepest descent trajectories under a decaying learning rate schedule, proving that these algorithms too have a bias towards KKT points of the corresponding margin maximization problem. We extend the analysis to Adam (without the stability constant), which maximizes the $\ell_\infty$ margin, and to Muon-Signum and Muon-Adam, which maximize a hybrid norm. Our experiments corroborate the theory and show that the identity of the margin maximized depends on the choice of optimizer. Overall, our results extend earlier lines of work on steepest descent in homogeneous models and momentum-based optimizers in linear models.

We introduce a novel framework for uncertainty quantification in clustering. By combining the martingale posterior paradigm with density-based clustering, uncertainty in the estimated density is naturally propagated to the clustering structure. The approach scales effectively to high-dimensional and irregularly shaped data by leveraging modern neural density estimators and GPU-friendly parallel computation. We establish frequen-tist consistency guarantees and validate the methodology on synthetic and real data.

Jack Dorsey leaves the Élysée Palace in Paris, France, on 7 June 2019. Jack Dorsey leaves the Élysée Palace in Paris, France, on 7 June 2019. What was really behind Jack Dorsey laying off nearly half of Block's staff? Jack Dorsey cited AI as the driving force behind cutting 40% of his company's employees, but other factors such as a weak crypto market, overstaffing and a declining stock price may also have motivated the move. Last week, the financial technology company Block announced that it would lay off 4,000 of its 10,000 workers.

Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Alexander brothers' alleged HIGH SCHOOL gang rape video: Classmates speak out on sick'taking turns' footage... as creepy unseen photos are exposed Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Live Nation executives mocked'stupid' concert-goers in emails where they bragged about how to best rip them off: '$60 for closer grass' NFL superstar Xavier Worthy spills all on Travis Kelce, the Chiefs' struggles... and having Taylor Swift as his No 1 fan Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Nancy Mace throws herself into Iran warzone as she goes rogue on Middle East rescue mission: 'I AM that person' Hidden toxins in kids' treats EXPOSED: Health guru Jillian Michaels' sit-down with Casey DeSantis reveals dangers lurking in popular foods Interactive map reveals your nearest nuclear shelter and states that are MOST exposed... amid fears of US attack: Make an emergency plan now The fear of a nuclear apocalypse has reached levels not seen in decades as the US and Israel launch a deadly new conflict with Iran, raising alarms across capitals and prompting emergency diplomatic efforts to prevent a wider war. For Americans, the pressing question may soon shift from geopolitics to personal preparedness, including where the nearest fallout shelter is located and how to protect themselves if tensions escalate further. There is currently no public list of active shelters available for everyday Americans, since most are defunct or privately owned. But survival expert and Air Force veteran Sean Gold has built his own fallout shelter map, revealing that the vast majority of these radiation bunkers are scattered throughout America's largest cities. The map can be found on his survival guide website, TruePrepper .

The tree cover marks the course of the source stream, which formed the basis for the construction of the former farmstead. Breakthroughs, discoveries, and DIY tips sent six days a week. While a recent Iron Age discovery in northern Germany is proving itself an archaeological goldmine, local firefighters might be a bit annoyed by the find. According to the Regional Association of Westphalia-Lippe (LWL), construction on a new fire station in the town of Hüllhorst roughly 45 miles west of Hanover was delayed after the surveyors identified evidence of a settlement dating back over 2,500 years. As only the third such find in the region, the site offers an exceptional opportunity to learn more about ancient life in Germany prior to the Roman Empire's arrival in 1st century BCE.

ROTC students at Old Dominion subdued and killed ISIS-linked gunman who left one dead, two wounded after shouting'Allahu Akbar' and opened fire Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Face it, your cat doesn't care about you: Felines'rarely help' their owners - while dogs engage with humans like toddlers, study finds They're renowned for being aloof - and now it turns out your pet cat really won't lift a paw if you need help. A new study has revealed that while felines are happy to sit and watch you struggle, a dog will attempt to provide some assistance. Researchers from Eötvös Loránd University in Hungary investigated how untrained pet dogs, pet cats and 16-24-month-old toddlers responded when a familiar person searched for a hidden object.