Public service programs often allocate limited resources under uncertainty about their benefits, creating a need for randomization to support credible evaluation. In practice, however, applicants commonly enter waitlists where resources are prioritized toward individuals judged to have higher need through tiered priority queues, making direct randomization difficult. Motivated by this, we develop an experimental design framework for learning treatment effects while treating those most in need where incoming applicants are randomized into priority queues based on their assessed risk scores. Treatments are then provided across queues in priority order and first-in-first-out within queue as budget becomes available. Our contributions are two-fold. First, we characterize what causal effects are identified under this priority-queue allocation. When arrivals are exogenous, treatments are conditionally randomized, and hence standard estimands are identified; when arrivals are endogenous, queue randomization instead provides an instrument for treatment, identifying local treatment effects induced by the queuing process. Second, we develop optimized queue-assignment designs that trade off statistical efficiency against prioritizing higher-need applicants. We show in the process that, despite dependence in treatment assignments induced by the design, usual iid efficiency bounds remain well-justified design objectives. We illustrate the proposed designs using data from a housing allocation program in a large U.S. county.

Kernel Stein discrepancy (KSD) is among the most popular goodness-of-fit (GoF) measures on general domains with a large number of successful deployments. One of the main applications of KSD is in constructing powerful GoF tests. However, tests relying on the classical U-/V-statistic-based KSD estimators have two major drawbacks. (i) Their runtime scales quadratically in the number of samples. (ii) Their asymptotic null distribution is computationally intractable in most cases, typically handled by bootstrapping. While it is known that the Nyström method permits accelerating KSD estimation with no loss of statistical accuracy under mild conditions, to the best of our knowledge, the fundamental question of its impact on bootstrap-based GoF testing is open; resolving this question is the focus of the current paper. In particular, we prove that the key properties of the quadratic-time bootstrapped KSD-based GoF test (asymptotic level and local consistency) are preserved by its Nyström acceleration. We numerically demonstrate the efficiency of the accelerated KSD estimator and bootstrap in the context of GoF testing of spherical and functional data. Our numerical results show that the Nyström-accelerated method performs statistically on-par with the quadratic-time approach, while requiring substantially smaller runtime.

We prove that no reinforcement learning policy with confidence-gated autonomy can simultaneously achieve maximum helpfulness, optimal calibration, and full autonomy under rational oversight, whenever some tasks exceed the agent's reliable competence: the Behavioral Credibility Trilemma. The impossibility is geometric -- adding any non-affine autonomy incentive to a strictly proper scoring rule destroys strict properness, so an agent rewarded for both calibrated confidence and autonomous action systematically inflates its reported confidence on tasks below the principal's approval threshold. The Behavioral Perturbation Lemma quantifies the inflation (scaling as $w_A/(2 w_C)$ for the Brier score) and shows detection requires $Ω(1/Δ^2)$ observations. We prove the principal's optimal oversight rule is necessarily non-affine, making the impossibility unconditional and optimizer-independent across log-concave-density policy families. We formalize the Confidence-Gated Decision Problem, map existing methods onto the trilemma, and identify two constructive resolution pathways (commitment, domain separation). A 540-configuration Best-of-N experiment tests five pre-registered hypotheses, all strongly confirmed (effect sizes $d = 1.10$ to $5.32$), and adds a descriptive analysis of the achievable-$(H, C, A)$ surface geometry showing a plateau-truncated frontier consistent with the predicted inflation saturation.

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.

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.

Russia warns foreigners to leave Kyiv as it prepares'systematic strikes' Russia has warned it plans to launch a "series of systematic strikes" on defence industrial facilities in Kyiv, and urged foreign citizens to leave the Ukrainian capital. In a statement, the Ministry of Defence said the strikes are in response to a Ukrainian drone attack last week that struck a student dorm in Starobilsk in the occupied Luhansk region, killing at least 18 people. Moscow, which launched a full-scale invasion of its neighbour four years ago and claims four of Ukraine's eastern regions as its own, has branded those attacks as "terrorism" and responded with large missile and drone launches. The Russian Foreign Ministry said in Monday's statement that the strike on Starobilsk signalled "the last straw" and that Russia will launch a systematic series of strikes in response, which will target "specific sites where UAVs are designed, manufactured, programmed, and prepared for use". Noting that such facilities "are scattered throughout Kyiv," the statement said it was warning "foreign citizens, including personnel of diplomatic missions and international organisations, to leave the city as soon as possible".