We study change-point detection for high-dimensional data in regimes where inference must be performed from small batches of observations. Our primary focus is the high-dimensional, low sample size (HDLSS) regime, where the sequence length is fixed while the ambient dimension diverges. We propose a dimension-averaged angular kernel scan framework for detecting marginal distributional shifts. The statistic aggregates bounded one-dimensional angular discrepancies across coordinates, yielding a fully nonparametric, hyperparameter-free, and moment-agnostic estimator that remains well-defined without specifying, estimating, or assuming finite marginal moments, for example under heavy-tailed or contaminated distributions. For the offline single-change problem, we derive an exact population mean factorization into a universal deterministic shape function and a scalar signal factor, characterize the null covariance structure up to a scalar long-run variance factor, and establish an HDLSS multivariate central limit theorem under cross-coordinate mixing. These results lead to plug-in Gaussian calibration, asymptotic type-I error control, and power and localization guarantees, including a $d^{-1/2}$ local detection scale. We further extend the offline procedure to a fixed-window sequential monitoring procedure for high-dimensional streaming data, and obtain ARL calibration and worst-case EDD bounds. Simulation studies demonstrate that the proposed method can accurately detect and localize changes in challenging HDLSS and streaming settings where moment-based or hyperparameter-sensitive procedures may be unreliable.

We test whether the optimal learning-rate schedule depends on bit-width during from-initialisation quantisation-aware training (QAT) for sub-100M decoder language models. A 720-run factorial grid (Phase 2) over bit-width x warmdown fraction x LR magnitude x model size x seed (FP16/INT8/INT6, 15M-100M, 5 seeds) finds the optimal warmdown is 33% at every (bit-width, size) cell. The primary hypothesis -- that INT6 QAT requires a different schedule than higher-precision training -- is falsified at FP16/INT8/INT6. A 625-run follow-up (Phase 5) probes the null along five axes: optimiser (AdamW), schedule shape (cosine), training length (up to 9x more iterations), an extended size sweep (5M-350M), and an INT4 sweep from 3M to 100M. The null is robust under all three setup changes. The INT6 penalty follows a log-linear scaling law whose fit on Phase 2 predicts the five held-out Phase 5 sizes (5M, 8M, 175M, 250M, 350M) within their 95% prediction intervals (5/5). For INT4 the picture is sharper than the higher precisions: at 50M and 100M, wd33 is decisively optimal (paired z ~ 12-15, 10/10 seeds); below 50M, across the six tested sizes from 3M to 30M, no individual size shows a statistically significant schedule preference and the per-size mean penalty oscillates within seed-level noise. The boundary is therefore a transition between a noise-dominated regime below 50M and a decisive wd33 regime at and above 50M, not a clean wd10 region. A weight-to-grid-distance probe falsifies the simplest mechanism for the FP16/INT8/INT6 null result (rapid grid-snapping): pre-warmdown, INT6-QAT weights sit at essentially the same distance from the INT6 grid as FP16 weights (ratio ~ 1.04). Practical recommendation: at sub-100M scale, tune the LR schedule once at FP16 and apply unchanged to INT8/INT6 QAT; for INT4 at 50M+ use wd33; for INT4 below 50M the schedule choice is in the noise.

Bayesian optimal experimental design (BOED) selects experiments to maximize information gain about model parameters. However, in decision-critical settings, reducing parameter uncertainty does not necessarily improve downstream decisions, as only specific parameter directions relevant to the objective truly matter. We propose GoBOED, a goal-driven BOED framework that directly optimizes experimental designs for a specified decision-making objective. GoBOED combines an amortized variational posterior surrogate with a differentiable convex decision layer, enabling gradient-based design optimization that is fully decision-focused. We theoretically show that GoBOED gradients are insensitive to parameter directions irrelevant to the decision objective, providing a formal justification for why goal-driven design achieves equivalent decision quality over a wider set of experimental designs than information-gain maximization. Empirically, across source localization, epidemic management, and pharmacokinetic control, GoBOED identifies designs that better align with downstream decision objectives and reveals that near-optimal design windows are substantially wider than those predicted by goal-agnostic BOED approaches.

Notre Dame's Josh Yago delivers Memorial Day salute during anthem before lacrosse championship game Dak Prescott reunites with ex-fiancée Sarah Jane Ramos to celebrate daughter's first birthday Celtics guard Jaylen Brown challenges ESPN's Stephen A Smith to a debate at Harvard or MIT Wyndham Clark adds to his funky resume, TPC Craig Ranch slander and LIV Golf's pitch to new investors Unearthed fan video shows who Kyle Busch really was, NASCAR's darkest hour & Bubba Wallace's'Rowdy' story California mom speaks with compassion but brutal honesty about presence of trans athlete in daughter's sport Curt Cignetti jokes he had to'coach the hell out' of undefeated Hoosiers to be Indy 500 pace car driver A screenshot has WNBA fans asking: did a player endorse a threat toward Caitlin Clark? MLB reporter Tricia Whitaker hit with line drive during Orioles' game Defense expert argues Iran has never been'so isolated' Joey Jones calls out Dem candidate Platner for'hiding behind the Purple Hearts' of fellow vets Trump doesn't want Iran to become his Afghanistan: Mike Sarraille Any Iran deal will be judged by'how much it cost' to secure, ex-CIA station chief says Dr Rebecca Grant: Iran has'no place to go,' will have to sign a deal Pope Leo XIV calls for AI to be'disarmed' in critical warning about emerging tech Kyle Busch's family reveals NASCAR champion died from severe pneumonia that led to sepsis NEW details emerge on suspected White House gunman's prior arrests OutKick-Sports Lincoln Riley claims USC was'snaps away' from the playoff, says he's a better coach now than when at Oklahoma Lincoln Riley joins Colin Cowherd to discuss USC's schedule and their number one recruiting class, and the development of QB Jayden Maiava. Lincoln Riley's tenure as head coach of the USC Trojans hasn't been smooth sailing. When he took over ahead of the 2022 season, expectations were high that a coach with his track record would bring the Trojans back to their heyday. While with the Oklahoma Sooners, he went 55-10 and 33-7 in conference, coached in four New Year's Six games, and won 12 games three consecutive seasons.

The Israeli military says it has begun a wave of strikes across Lebanon following an announcement by Prime Minister Benjamin Netanyahu that his country will intensify its attacks on Hezbollah. The Israel Defense Forces (IDF) said it had launched strikes against Hezbollah sites in the Bekaa Valley in the east of Lebanon and additional areas across the country. It followed a video statement on Monday evening in which Netanyahu said Israel was at war with Hezbollah and that he had given the military instructions to deal them a crushing blow. Earlier this month Lebanon and Israel agreed to extend a 45-day ceasefire, though some fighting has continued. There will be fears in Beirut that these latest Israeli attacks will widen to include Lebanon's capital city.

More than 1.5m foreign pilgrims begin Hajj despite Iran war fears Muslims have begun the annual Hajj pilgrimage in Saudi Arabia against the backdrop of a region deeply shaken by the Iran war. Saudi authorities said last week that some 1.51 million pilgrims had arrived from outside the kingdom. That is 11,000 more than last year, despite concerns in the region about a resumption of the three-month-old conflict between the US, Israel and Iran. Before a fragile ceasefire took effect last month, Iran launched waves of missile and drone attacks on Saudi Arabia and its Gulf neighbours in retaliation for US and Israeli air strikes. Two civilians living in the central city of al-Kharj were killed in an Iranian attack on 8 March, along with a US service member stationed at the nearby Prince Sultan Air Base.

This material may not be published, broadcast, rewritten, or redistributed. Quotes displayed in real-time or delayed by at least 15 minutes. Market data provided by Factset . Powered and implemented by FactSet Digital Solutions . Mutual Fund and ETF data provided by LSEG . You have a credit freeze; it still isn't enough Turning 65? Month-by-month plan to protect yourself China's AI growth is about'economic and political leverage,' Rep Hinson says Expert warns'red-green-green alliance' helping China gain AI edge AI's impact on jobs, economy debated as youth express growing fears Jury dismisses Elon Musk's lawsuit against OpenAI and Sam Altman China does not'innovate,' they'replicate': Former DHS spokeswoman Trump to press Xi to'open up' China as tech CEOs join key summit CIA calls COVID whistleblower hearing'political theater' in new statement How scammers use military records, VA data and benefit details to target veterans. Kurt'The CyberGuy' Knutsson breaks down the'perfect storm' for scammers to prey on Americans and how to protect yourself.

LaGuardia Airport's Terminal B now features an AI hologram concierge that answers traveler questions and provides step-by-step directions using real-time maps.

The Pope unveiled the Vatican's new encyclical, "Magnifica Humanitas," warning that AI risks becoming a tool of "domination, exclusion and death" without moral limits from governments.

Russia has threatened to launch a fresh wave of systematic strikes against Kyiv, days after carrying out one of its largest attacks on the Ukrainian capital since the start of the war. The new strikes will target decision-making centres and command posts, alongside drone manufacturing facilities in the city, Russia's foreign ministry said in a statement. Moscow has called for foreign nationals and diplomats to leave Kyiv as soon as possible and warned citizens to stay away from administrative and military buildings. Large-scale Russian strikes on Saturday night killed four and injured about 100 people in Kyiv and other areas, Ukrainian President Volodymyr Zelensky said. Moscow said that barrage and threatened further strikes were in response to what it claims was a deliberate Ukrainian attack on a student dormitory in the town of Starobilsk on Friday, in which Russian officials said 21 people were killed.