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Learning to Emulate Chaos: Adversarial Optimal Transport Regularization

arXiv.org Machine Learning

Chaos arises in many complex dynamical systems, from weather to power grids, but is difficult to accurately model using data-driven emulators, including neural operator architectures. For chaotic systems, the inherent sensitivity to initial conditions makes exact long-term forecasts theoretically infeasible, meaning that traditional squared-error losses often fail when trained on noisy data. Recent work has focused on training emulators to match the statistical properties of chaotic attractors by introducing regularization based on handcrafted local features and summary statistics, as well as learned statistics extracted from a diverse dataset of trajectories. In this work, we propose a family of adversarial optimal transport objectives that jointly learn high-quality summary statistics and a physically consistent emulator. We theoretically analyze and experimentally validate a Sinkhorn divergence formulation (2-Wasserstein) and a WGAN-style dual formulation (1-Wasserstein). Our experiments across a variety of chaotic systems, including systems with high-dimensional chaotic attractors, show that emulators trained with our approach exhibit significantly improved long-term statistical fidelity.


Microsoft and Meta announce large staff reductions as they spend big on AI

The Guardian

Meta and Microsoft are trimming their workforces by thousands as they make heavy investments in AI and executives claim that the technology is meeting their companies' productivity needs. Meta told staff on Thursday that on 20 May it would cut some 10% of its personnel - just under 8,000 employees-to boost efficiency, part of a layoff plan made months ago . The company is also closing about 6,000 open roles. The same day, Microsoft announced to employees, for the first time, that it would offer voluntary retirement to about 7% of its American workforce of roughly 125,000. In an internal memo to Meta's staff, Janelle Gale, the chief people officer, didn't mention AI explicitly but said the cuts would allow the company to "offset the other investments we're making".


65-foot-long octopuses ruled ancient oceans

Popular Science

The kraken-like apex predators were smart, too. More information Adding us as a Preferred Source in Google by using this link indicates that you would like to see more of our content in Google News results. The fossils prove octopuses existed at least 5 million years earlier than originally thought. Breakthroughs, discoveries, and DIY tips sent six days a week. Around 100 million years ago, real kraken-like creatures stalked Earth's prehistoric oceans.


The US Military Is 3D Printing Warheads

Mother Jones

Army infantry drone operators successfully test the bunker rupture and kinetic explosive round, delivered by an unmanned aerial system, during a live-fire demonstration at Redstone Arsenal, Ala., March 26, 2026. Get your news from a source that's not owned and controlled by oligarchs. The US Army announced this week that it has successfully 3D-printed a drone-based warhead prototype, and successfully used that weapon to make something explode. In a press release, the military called the weapon "a lightweight, powerful, and lethal warhead that could be deployed from a small, agile drone." In a video posted April 21 and captioned only "Multi-Purpose," a drone blows up a makeshift bunker on a military testing site.


Apple's Next Chapter, SpaceX and Cursor Strike a Deal, and Palantir's Controversial Manifesto

WIRED

In this week's episode of, we talk about Tim Cook's legacy as CEO at Apple and what his long-rumored departure means for the future of one of the world's biggest companies. They also go into the reasoning behind SpaceX and Cursor's surprising deal, and why Palantir's self-published manifesto drew a lot of heat online. Also, we discuss why some conspiracy theorists are leaving Trump's side, and how a scammer created an AI-generated woman to attract and grift MAGA men. Tim Cook's Legacy Is Turning Apple Into a Subscription This Scammer Used an AI-Generated MAGA Girl to Grift'Super Dumb' Men Write to us at [email protected] . You can always listen to this week's podcast through the audio player on this page, but if you want to subscribe for free to get every episode, here's how: If you're on an iPhone or iPad, open the app called Podcasts, or just tap this link . Zoë, Leah, and I have really enjoyed being your new hosts these past few weeks, and we want to hear from you. If you like the show and have a minute, please leave us a review in the podcast or app of your choice. It really helps us reach more people, and for any questions and comments, you can always reach us at [email protected] . I missed you so much. And I missed you the exact same amount. I'm going to go away more often. Absence makes the heart go fonder, as we all know, and I'm thrilled to be here. This week on the show, we're saying goodbye to Apple CEO, Tim Cook, who announced that he is stepping down from the top gig at the company. And, more than just talking about his legacy at Apple, we'll be looking into what this long-awaited shift actually means for the future of one of the world's biggest companies. We'll also get into why SpaceX and Cursor's potential $60 billion deal announced this week is pretty staggering, and we'll get into Palantir's controversial 22-point manifesto. I feel like manifesto's inherently controversial, otherwise they'd be memos that they posted on X this week.


ESPN's Mad Dog Russo melts down over 'U-S-A' chants at the RBC Heritage

FOX News

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'First Take' host acts disgusted when she has to cover Vrabel-Russini drama 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' California governor's race intensifies as six candidates face off Trump: US Navy to'shoot and kill' any boat placing mines in Hormuz Virginia court blocks Democrats' redistricting effort, Florida next 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' OutKick ESPN's Mad Dog Russo melts down over'U-S-A' chants at the RBC Heritage Russo argued this is not the Ryder Cup and claimed Fitzpatrick is as American as a U.S. citizen Fox News Flash top sports headlines are here. Check out what's clicking on FoxNews.com. Chris Mad Dog Russo went on ESPN's this week and delivered one of the most absurd hot takes of 2026. After Scottie Scheffler's playoff duel with Matt Fitzpatrick at the RBC Heritage in Hilton Head, Russo inexplicably objected to American fans chanting U-S-A. Russo thought the American fans backing an American over an Englishman was problematic.


PGA Tour player goes shirtless in New Orleans, fails at miracle shot from water

FOX News

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.


At 'AI Coachella,' Stanford Students Line Up to Learn From Silicon Valley Royalty

WIRED

CS 153 has gone viral on the Palo Alto campus--and on X. Not everyone is happy about it. As thousands of influencers descended on southern California earlier this month for the annual Coachella Music Festival, a very Silicon Valley program dubbed "AI Coachella" was taking shape a few hundred miles north in Palo Alto. The class, CS 153, is one of Stanford's buzziest offerings this semester, and like the music festival, it features a star-studded lineup of celebrities--in this case, not pop artists, but Big Tech CEOs. The course is co-taught by Anjney Midha, a former Andreessen Horowitz general partner, and Michael Abbott, Apple's former VP of engineering for cloud services.


Do you need to worry about Mythos, Anthropic's computer-hacking AI?

New Scientist

Do you need to worry about Mythos, Anthropic's computer-hacking AI? A powerful AI kept from public access because of its ability to hack computers with impunity is making headlines around the world. But what is Mythos, does it really represent a risk and might it even be used to improve cybersecurity? Anthropic's Project Glasswing aims to improve online security The past few weeks have brought apparently alarming news of Mythos, an AI that can identify cybersecurity flaws in a matter of moments, leaving operating systems and software vulnerable to hackers. The cybersecurity community is now beginning to get a better sense of how Mythos may change the face of cybersecurity - and not necessarily for the worse.


Don't fall for the trap: Why the Raptors cover Game 3 vs. the Cavaliers

FOX News

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 Longtime NASCAR crew chief tells wild story about one of the sport's biggest characters Trump: US Navy to'shoot and kill' any boat placing mines in Hormuz Virginia court blocks Democrats' redistricting effort, Florida next 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 Cleveland is favored by just 3.5 points despite winning Games 1 and 2 by double digits Tip-off at the Scotiabank Arena is 8 p.m. ET and will air on Amazon Prime. Toronto this game to avoid a historically insurmountable 3-0 deficit. Cleveland won and covered the first two games of the series: 126-113 in Game 1 and 115-105 in Game 2. SHAQ HAS BLUNT EXPLANATION FOR WHY HE DOESN'T TEXT CURRENT NBA PLAYER Mitchell is averaging 31.0 points per game (PPG) on 55.8% shooting, and Harden is adding 25.0 PPG on 53.1% shooting. But their regular-season leading scorer, Brandon Ingram, has been awful, putting up just 12.0 PPG on 33.3% so far this series. Given that Cleveland smacked Toronto in Games 1-2, doesn't Cavaliers -3.5 feel like a?