Diego Pavia, the former Vanderbilt quarterback and Heisman runner-up, accepted an invitation to the Baltimore Ravens' rookie minicamp on a tryout basis after going undrafted.

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Kevin Durant is expected to sit out Game 4 with a sprained left ankle and bone bruise, as the Rockets face elimination against the Lakers on Sunday night.

Kai Trump revealed a "scary" allergic reaction to hand soap during her trip to the Masters Tournament at Augusta National, requiring medical attention and a steroid shot.

A piece of the UFC White House event's setup is sitting in Pennsylvania Amish country Viral Ottawa Senators fan blamed for team's 0-2 playoff start banished to Taiwan Edward Cabrera's strikeout prop is the play as struggling Phillies face surging Cubs today Nuggets vs Timberwolves Game 3 pick hinges on Jaden McDaniels calling out Denver's entire defense Charles Barkley was disgusted by Magic's highly questionable pregame handshake ChatGPT predicted the first round of the NFL Draft and here's what it said Curt Cignetti was so focused this offseason, he turned down all external requests: 'I'm 95% football' Former MLB owner claims'despicable' San Francisco Giants are the reason the A's left Oakland Trump weighs in on Iran's internal power struggle and Strait of Hormuz control Hasan Piker justifies'social murder' of CEO Fox News celebrates'Bring Your Kids to Work Day' Trump says there's'no time frame' to secure Iran deal Iranian activist praises Trump's intervention after female protesters saved from execution Michael Brennan's ball found the greenside pond, but with teammate Johnny Keefer in Position A, he decided to go for it LIV Golf Is On Its Death Bed As The PGA Tour Wins The Golf WAR! | Don't @ Me w/ Dan Dakich Broadcasting legend Tim Brando joins Dan Dakich to break down the decline of LIV Golf, Bryson DeChambeau's unique success, and the flaws in modern Masters coverage. It's highly unlikely that Michael Brennan will be the only 24-year-old man to take his shirt off in public in New Orleans on Thursday, but he will be the only one to do so who has a PGA Tour victory under his belt. During the opening round of this week's Zurich Classic, a team event on Tour played at TPC Louisiana, Brennan and teammate Johnny Keefer began on the back nine and got things rolling early, getting to 4-under through their opening six holes. Michael Brennan of the United States catches a ball on the third green during the third round of the RBC Heritage 2026 at Harbour Town Golf Links on April 18, 2026, in Hilton Head Island, South Carolina. LPGA'S MAJOR CHAMPIONSHIP GREENSIDE PLUNGE POOL IS PREPOSTEROUS IN EVERY WAY After back-to-back pars on the 16th and 17th holes, the duo arrived at the Par 5 closing hole, which is when things got messy.

We study the Combinatorial Group Testing (CGT) problems in a novel game-theoretic framework, with a solution concept of Adversarial Equilibrium (AE).

We study the Combinatorial Group Testing (CGT) problems in a novel game-theoretic framework, with a solution concept of Adversarial Equilibrium (AE).

While gradient-based optimizers that incorporate randomization often showcase superior performance on complex optimization, the theoretical foundations underlying this superiority remain insufficiently understood. A particularly pressing question has emerged: What is the role of randomization in dimension-free nonsmooth nonconvex optimization? To address this gap, we investigate the theoretical and empirical impact of permutation randomization within gradient-based optimization frameworks, using it as a representative case to explore broader implications. From a theoretical perspective, our analyses reveal that permutation randomization disrupts the shrinkage behavior of gradient-based optimizers, facilitating continuous convergence toward the global optimum given a sufficiently large number of iterations. Additionally, we prove that permutation randomization can preserve the convergence rate of the underlying optimizer. On the empirical side, we conduct extensive numerical experiments comparing permutation-randomized optimizer against three baseline methods. These experiments span tasks such as training deep neural networks with stacked architectures and optimizing noisy objective functions. The results not only corroborate our theoretical insights but also highlight the practical benefits of permutation randomization. In summary, this work delivers both rigorous theoretical justification and compelling empirical evidence for the effectiveness of permutation randomization. Our findings and evidence lay a foundation for extending analytics to encompass a wide array of randomization.