The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by maximizing the log-likelihood with an \ell_1-penalty on the off-diagonal entries. However, selecting an optimal regularization parameter λin this unsupervised setting remains a significant challenge. A well-known issue is that existing methods, such as out-of-sample likelihood maximization, select a single global λand do not account for heterogeneity in variable scaling or partial variances. Standardizing the data to unit variances, although a common workaround, has been shown to negatively affect graph recovery. Addressing the problem of nodewise adaptive tuning in graph estimation is crucial for applications like computational neuroscience, where brain networks are constructed from highly heterogeneous, region-specific fMRI data. In this work, we develop Locally Adaptive Regularization for Graph Estimation (LARGE), an approach to adaptively learn nodewise tuning parameters to improve graph estimation and selection. In each block coordinate descent step of GLASSO, we augment the nodewise Lasso regression to jointly estimate the regression coefficients and error variance, which in turn guides the adaptive learning of nodewise penalties. In simulations, LARGE consistently outperforms benchmark methods in graph recovery, demonstrates greater stability across replications, and achieves the best estimation accuracy in the most difficult simulation settings. We demonstrate the practical utility of our method by estimating brain functional connectivity from a real fMRI data set.

Multilabel Classification (MLC) deals with the simultaneous classification of multiple binary labels. The task is challenging because, not only may there be arbitrarily different and complex relationships between predictor variables and each label, but associations among labels may exist even after accounting for effects of predictor variables. In this paper, we present a Bayesian additive regression tree (BART) framework to model the problem. BART is a nonparametric and flexible model structure capable of uncovering complex relationships within the data. Our adaptation, MLCBART, assumes that labels arise from thresholding an underlying numeric scale, where a multivariate normal model allows explicit estimation of the correlation structure among labels. This enables the discovery of complicated relationships in various forms and improves MLC predictive performance. Our Bayesian framework not only enables uncertainty quantification for each predicted label, but our MCMC draws produce an estimated conditional probability distribution of label combinations for any predictor values. Simulation experiments demonstrate the effectiveness of the proposed model by comparing its performance with a set of models, including the oracle model with the correct functional form. Results show that our model predicts vectors of labels more accurately than other contenders and its performance is close to the oracle model. An example highlights how the method's ability to produce measures of uncertainty on predictions provides nuanced understanding of classification results.

Somber-faced Timothy Busfield appears in court for child sex abuse case as he's denied bail White House responds to Joe Rogan's warning that ICE behavior in Minneapolis resembles Hitler's Gestapo Shameless Gwyneth Paltrow, 53, pushes'miracle' $150 Goop serum... but plastic surgeon suggests she's neglected to mention a far more invasive secret behind her taut face and'TILTED' eyes Shocking truth about Minneapolis woman dragged from car by ICE while screaming that she was on her way to a doctor's appointment German troops'to touch down in Greenland in a matter of hours' as Danish leader says country is still stuck in a'fundamental disagreement' with the US over the island after'frank' meeting Benny Blanco fans left swooning after photo shows him with straight hair: 'Holy smokes' My night at America's'scariest' McDonald's that is so dangerous it does not even have a DOOR, with frightened locals renaming it'McStabby's' Progressive Portland Rep. squirms when asked about inflammatory statement she made after shooting of suspected Tren de Aragua gangsters Euphoria fans shocked over Sydney Sweeney's racy OnlyFans move: 'She's been oversexualized' Kiefer Sutherland told rideshare driver to pull over or'I'll kill you' before alleged assault in Hollywood MAGA goes wild for new scene in Landman with Glen Powell's glamorous love Michelle Randolph Six-year-old girl left all alone after ICE takes her dad away while he picked up dinner delivery: 'Where's papi?' Chicago's ultra-woke teachers' union makes glaring spelling error on flyer calling for'ultra wealthy to fund our schools' LeBron James distances himself from Rich Paul after agent pushed for Lakers to trade his client's teammates I was silenced for exposing Covid vaccine injuries in 2021... now the truth has finally come out A researcher who says she discovered that Covid vaccines could seriously injure the heart claims she was silenced during the pandemic, only to be vindicated more than four years later. Dr Jessica Rose, a Canadian researcher and expert in immunology from Memorial University of Newfoundland, said her 2021 study exposing a connection between Covid vaccines and myocarditis was mysteriously withdrawn just three weeks after it was published by the journal Current Problems in Cardiology without explanation. Myocarditis is a dangerous inflammation of the heart that can cause chest pain, shortness of breath, fatigue, irregular heartbeat, and swelling in the legs. In severe cases, it can lead to heart failure, blood clots, stroke, or sudden death. Using information from a government-run database to track vaccine side effects, Rose found a significant increase in heart damage weeks after people received the Covid vaccine.

Apple's Siri AI will be powered by Gemini The company is also blocking image generation entirely from non-subscribers. XAI logo dislpayed on a screen and Grok account on X displayed on a phone screen are seen in this illustration photo taken in London, Great Britain on July 9, 2025. X says it is changing its policies around Grok's image-editing abilities following a multi-week outcry over the chatbot repeatedly being accused of generating sexualized images of children and nonconsensual nudity. In an update shared from the @Safety account on X, the company said it has "implemented technological measures to prevent the Grok account from allowing the editing of images of real people in revealing clothing such as bikinis." The new safeguards, according to X, will apply to all users regardless of whether they pay for Grok.

The killing of George Floyd in 2020 prompted a wave of statements from tech companies and CEOs. Today, pushback against ICE is largely coming from employees, not executives. Since Donald Trump returned to the White House last January, the biggest names in tech have mostly fallen in line with the new regime, attending dinners with officials, heaping praise upon the administration, presenting the president with lavish gifts, and pleading for Trump's permission to sell their products to China . It's been mostly business as usual for Silicon Valley over the past year, even as the administration ignored a wide range of constitutional norms and attempted to slap arbitrary fees on everything from chip exports to worker visas for high-skilled immigrants employed by tech firms. But after an ICE agent shot and killed an unarmed US citizen, Renee Nicole Good, in broad daylight in Minneapolis last week, a number of tech leaders have begun publicly speaking out about the Trump administration's tactics.

Apple's Siri AI will be powered by Gemini The original shows join a roster of iHeartRadio and Spotify shows now airing on the streaming service. Netflix is continuing to double down on podcasts, with the streaming service's announcement that it has hired talent to host two original shows for its platform. The first show stars NFL Hall of Famer-turned-analyst Michael Irvin and the second is a talk show for former Saturday Night Live cast member Pete Davidson. The abode in the title refers to a building near the Dallas Cowboys facilities rather than the seat of US presidential power, but the overlap was intentional. In a crowded media landscape, recognition matters -- and few names carry the same immediate weight, Irvin said.

Police say at least 25 kids used e-bikes and scooters to evade arrest and intimidate drivers. Breakthroughs, discoveries, and DIY tips sent six days a week. Australian police are cracking down on groups of unruly teenagers who they say are using deceptively speedy e-bikes and scooters to engage in "antisocial riding behavior." Their solution: confiscate the popular micromobility devices and crush them. The roundup, dubbed Operation Moorhead, began last week in the suburbs of Perth in southwestern Australia.

A child rights advocacy organisation in the United States is accusing Google of bypassing parental authority by allowing children to disable parental supervision over Google accounts after they turn 13. Melissa McKay, president of the Digital Childhood Institute, stated on LinkedIn that Google sent her 12-year-old an email that will unlock additional tools once he turns 13, posting screenshots of the email. Among the changes, once children turn the age of 13, they can turn off supervised experiences on YouTube and can add payment methods to Google Pay. Parents will no longer be able to block apps, turn on location sharing without the permission of the child user or block access to payment features. "Google is asserting authority over a boundary that does not belong to them. It reframes parents as a temporary inconvenience to be outgrown and positions corporate platforms as the default replacement," McKay said in a post on LinkedIn.

Apple's Siri AI will be powered by Gemini Neither company has responded to Engadget's request for comment. The two (frequently virtue-signaling) companies have inexplicably allowed Grok and X to remain in their app stores -- even as Musk's chatbot reportedly continues to produce the material. On Wednesday, a coalition of women's and progressive advocacy groups called on Tim Cook and Sundar Pichai to uphold their own rules and remove the apps. The open letters to Apple and Google were signed by 28 groups. Among them are the women's advocacy group Ultraviolet, the parents' group ParentsTogether Action and the National Organization for Women.

Apple's Siri AI will be powered by Gemini Amazon's upcoming live-action TV adaptation has cast Ryan Hurst as its Kratos. Sony announced the casting today on X with a brief post and an image of both Hurst and Kratos in full scowl mode. Hurst is already sporting a very Kratos-style beard, so he's already got the right vibe going for him. He has past credits on familiar shows such as and . The upcoming Amazon series also isn't his first rodeo acting in this universe; Hurst voiced Thor in the video game .