Kimberly Guilfoyle's bitter reaction to Don Jr's engagement with Bettina Anderson as scorned ex insists she'wants what's best' for the first son Simone Biles is slammed by furious animal rights activists after allegedly chopping her dog's EARS off The full story of Nick Reiner and these murders is so much more unbearable than everyone thinks. Even Hollywood wouldn't dare write it: MAUREEN CALLAHAN I sneakily looked at my perfect son's phone... What a terrible mistake! Rob Reiner and his wife's cause of death revealed'It was a cover up': Kirsty MacColl's ex-husband speaks out 25 years on from Fairytale of New York singer's death... and says she was'killed by speedboat driven by the richest man in Mexico' Reiner family bombshell as insiders reveal who is paying for Nick's celebrity lawyer... their secret motive... and who will REALLY inherit $200m fortune Trump's border patrol boss gets in VERY public spat with city mayor as he gives him rude awakening Chilling new video of Nick Reiner making disturbing comments about murder... as friend reveals dad Rob's tragic failed attempt to save him: 'I'm going to kill that f***ing dog' Tara Reid speaks out for the first time since THAT video emerged... and tells KATIE HIND why she is convinced she was spiked after watching CCTV How Bettina Anderson's engagement ring measures up to Kimberly Guilfoyle's... and which Don Jr spent most money on Elon Musk is blasted on social media over'pathetic' comments about Sydney Sweeney's breasts Biohacker Bryan Johnson says he will be immortal in 15 years... as he finally'cracks' the secret to living forever Natalee Holloway's killer Joran van der Sloot attempts to take his own life inside maximum-security Peruvian prison Chilling new details of father's death a day before facing justice for leaving his daughter, 2, to die in a hot car Pouty dine-and-dash diva interrupts judge MULTIPLE times as she's hauled to court for bill-skipping spree Sign up for our US Editor's Picks newsletter to get all the biggest exclusive stories A small town sheriff has admitted he is perplexed by a series of mysterious flying objects which have been bewildering locals in his Wyoming community for more than a year. Unidentified flying objects [ UFOs ] have been regularly spotted for 13 months above the Jim Bridger Power Plant and Sweetwater County's Red Desert. John Grossnickle, the Sheriff of Sweetwater County, saw lit-up, drone-like objects as recently as December 13, his spokesman Jason Mower told Cowboy State Daily .

Spatial boundaries, such as ecological transitions or climatic regime interfaces, capture steep environmental gradients, and shifts in their structure can signal emerging environmental changes. Quantifying uncertainty in spatial boundary locations and formally testing for temporal shifts remains challenging, especially when boundaries are derived from noisy, gridded environmental data. We present a unified framework that combines heteroskedastic Gaussian process (GP) regression with a scaled Maximum Absolute Difference (MAD) Global Envelope Test (GET) to estimate spatial boundary curves and assess whether they evolve over time. The heteroskedastic GP provides a flexible probabilistic reconstruction of boundary lines, capturing spatially varying mean structure and location specific variability, while the test offers a rigorous hypothesis testing tool for detecting departures from expected boundary behaviors. Simulation studies show that the proposed method achieves the correct size under the null and high power for detecting local boundary shifts. Applying our framework to the Sahel Sahara transition zone, using annual Koppen Trewartha climate classifications from 1960 to 1989, we find no statistically significant decade scale changes in the arid and semi arid or semi arid and non arid interfaces. However, the method successfully identifies localized boundary shifts during the extreme drought years of 1983 and 1984, consistent with climate studies documenting regional anomalies in these interfaces during that period.

Nick Reiner's siblings Romy and Jake describe'unimaginable pain' as they break silence after brother's arrest and parents' murder The full story of Nick Reiner and these murders is so much more unbearable than everyone thinks. Even Hollywood wouldn't dare write it: MAUREEN CALLAHAN I saw Nick Reiner just hours before the murders. I've known the family for decades - he was always a weirdo... but what I spotted that night haunts me Tara Reid investigation into alleged drugging is CLOSED as police say there is'not enough evidence' Dilbert creator reveals he's paralyzed from waist down amid aggressive cancer battle he begged Trump to help with Dan Bongino set to QUIT Trump admin after FBI job'put strain on his marriage' When GUY ADAMS revealed his 10-week body transformation, it was so astonishing he was accused of faking it. MIT professor was shot dead in apartment building's HALLWAY as petrified neighbors describe finding his bloody body I knew Rob Reiner's monster son Nick his whole life: Family friend reveals his'grunting' and violent outbursts... how he always SMELLED... and sign everyone missed at age 11 Harry and Meghan are making Netflix adaptation of The Wedding Date after couple announced'first look' multi-year deal with streaming giant Baby-faced stepbrother considered a'suspect' in Anna Kepner's cruise ship murder breaks cover as FBI weighs charges Erika Kirk vs Candace Owens exposed: Insider reveals high-stakes secret meeting drama... and what comes next US car dealer charged with FRAUD after bankruptcy revealed depths of American's debt crisis Revealed: Exactly what a week of drinking is doing to you. HARRY WALLOP took heart, liver, brain and blood tests to find out the truth.

Technology Engineering 2,500 'high-risk' U.S. dams are sinking into the ground Radar shows that the damage may be out of sight for inspectors. Breakthroughs, discoveries, and DIY tips sent every weekday. Dams across the United States are in dire need of repairs, and the critical infrastructure may be even worse off than engineers anticipated. According to geoscientists, over 2,500 of the more than 16,700 structures in the country are classified as high hazard potentials and in "poor condition." This classification means that the dams that would cause significant death and destruction if compromised.

Initial participants in the new Apple Manufacturing Academy tell WIRED that the tech giant's surprising frankness and hands-on support are already benefiting their bottom lines. An instructor at the Apple Manufacturing Academy in Detroit demonstrates how an iPhone and optical inspection software can be used to photograph and automatically identify an issue with a part. About 10 Apple employees spent some of their valuable hours over recent months on a project that might seem unusual for the tech giant: customizing an open source AI tool for ImageTek, a small manufacturer in Springfield, Vermont whose lines of business include printing millions of labels for food packaging. The Apple engineers developed a computer vision system to automatically identify color errors, and on one run it picked up bacon labels with a far-too-pinkish beige before they got shipped, according to Marji Smith, ImageTek's president. She says the timely catch helped ImageTek from losing a crucial customer.

What is in the 28-point US plan for Ukraine? 'Ukraine is running out of men, money and time' Can the US get all sides to end the war? Why is Europe opposing Trump's peace plan? Kyiv Mayor Vitalii Klitschko said explosions were heard in the Ukrainian capital and warned people to stay in shelters late on Tuesday night as air defences worked to repel a Russian attack. Russian forces launched a "massive" drone attack on Ukraine's Sumy region, targeting energy infrastructure and causing electricity blackouts, Governor Oleh Hryhorov said on Telegram late on Tuesday night.

The fully programmable, autonomous microbot only costs one penny to make. The microrobot, fully integrated with sensors and a computer, is small enough to balance on the ridge of a fingerprint. Breakthroughs, discoveries, and DIY tips sent every weekday. Designing a swarm of fully autonomous, submillimeter-sized robots sounds like an expensive, if not impossible task. However, a team at the University of Pennsylvania and the University of Michigan not only built a new generation of recordbreaking, solar powered machines.

Ben & Jerry's row deepens as three board members removed Three members of Ben & Jerry's independent board will no longer be eligible to serve in their roles, after the ice cream company introduced a new set of governance practices. These include a nine-year limit set on board members' terms. Chair Anuradha Mittal, who earlier said she had no plans to resign under pressure, is among those affected. The move was criticised by the company's co-founder Ben Cohen, who called it a blatant power grab designed to strip the board of legal authority and independence. His remarks are the latest in a long-running row between Ben and Jerry's and its owner over the Cherry Garcia maker's social activism and the continued independence of its board.

Almost all scientific data have uncertainties originating from different sources. Gaussian process regression (GPR) models are a natural way to model data with Gaussian-distributed uncertainties. GPR also has the benefit of reducing I/O bandwidth and storage requirements for large scientific simulations. However, the reconstruction from the GPR models suffers from high computation complexity. To make the situation worse, classic approaches for visualizing the data uncertainties, like probabilistic marching cubes, are also computationally very expensive, especially for data of high resolutions. In this paper, we accelerate the level-crossing probability calculation efficiency on GPR models by subdividing the data spatially into a hierarchical data structure and only reconstructing values adaptively in the regions that have a non-zero probability. For each region, leveraging the known GPR kernel and the saved data observations, we propose a novel approach to efficiently calculate an upper bound for the level-crossing probability inside the region and use this upper bound to make the subdivision and reconstruction decisions. We demonstrate that our value occurrence probability estimation is accurate with a low computation cost by experiments that calculate the level-crossing probability fields on different datasets.

Explainable machine learning techniques have gained increasing attention in engineering applications, especially in aerospace design and analysis, where understanding how input variables influence data-driven models is essential. Partial Dependence Plots (PDPs) are widely used for interpreting black-box models by showing the average effect of an input variable on the prediction. However, their global sensitivity metric can be misleading when strong interactions are present, as averaging tends to obscure interaction effects. To address this limitation, we propose a global sensitivity metric based on Individual Conditional Expectation (ICE) curves. The method computes the expected feature importance across ICE curves, along with their standard deviation, to more effectively capture the influence of interactions. We provide a mathematical proof demonstrating that the PDP-based sensitivity is a lower bound of the proposed ICE-based metric under truncated orthogonal polynomial expansion. In addition, we introduce an ICE-based correlation value to quantify how interactions modify the relationship between inputs and the output. Comparative evaluations were performed on three cases: a 5-variable analytical function, a 5-variable wind-turbine fatigue problem, and a 9-variable airfoil aerodynamics case, where ICE-based sensitivity was benchmarked against PDP, SHapley Additive exPlanations (SHAP), and Sobol' indices. The results show that ICE-based feature importance provides richer insights than the traditional PDP-based approach, while visual interpretations from PDP, ICE, and SHAP complement one another by offering multiple perspectives.