Pope Leo XIV speaks during a meeting with bishops, members of the clergy and families whose members have been victims of environmental pollution at the Cathedral of Santa Maria Assunta, in Acerra, Italy, on 23 May 2026. Pope Leo XIV speaks during a meeting with bishops, members of the clergy and families whose members have been victims of environmental pollution at the Cathedral of Santa Maria Assunta, in Acerra, Italy, on 23 May 2026. Americans echo Pope Leo's concerns about AI: 'It threatens workers, privacy and human life' Guardian readers in the US spoke of fears about unregulated AI in response to the pope's encyclical warning about the risks of the technology I n his first major papal text since assuming leadership of the Catholic church last year, Pope Leo issued a stark warning about the rise of artificial intelligence this week, denouncing the "culture of power" driving the AI age. Calling for the "most rigorous" ethical constraints on AI - which he described as one of the greatest threats facing humanity today - the first US-born pope also warned of "new forms of slavery" emerging through the digital economy. Speaking to the Guardian, readers in the US echoed the pope's concerns, describing AI as an "unregulated" industry increasingly being used to the "detriment of too many people", while also raising fears about surveillance, labor displacement, war and environmental harm .

Steve Hilton rips Steyer for trans athlete support, leads'Save Girls Sports' rally at track title meet Umpire Dan Bellino's baffling foul tip call on Seiya Suzuki renews calls for robot review in MLB Dakich: sports media has created an'industry' out of complaining about white athletes like Caitlin Clark Greg Sankey insists SEC is'strongest league' despite Big Ten winning three straight national championships Phillies look to upset Dodgers behind Zack Wheeler as Philadelphia's turnaround continues in LA Joey McGuire calls Steve Sarkisian's bluff, dares Texas to play Texas Tech in Week 1 Jesse Watters: Biden'broke' the Democratic Party'Friday Follies': Bruce Springsteen offers political commentary during concert Dr Oz speaks on how to fight fraud when leaders protect'innocent fraudsters' Mollie Hemingway: It's insane to hear Jill Biden say this BEHIND CLOSED DOORS: Iran talks face crucial test as all eyes stay fixed on Trump's next move DOJ looking for protestor who allegedly threatened to kill ICE agent's family Spencer Pratt is selling'basic common sense,' Clay Travis says Trump questions whether his'strong performance' in 2024 debate made Biden choke Greg Gutfeld on Dem joke: Men don't go where they aren't wanted Greg Gutfeld: Don't you just hate billionaires? The Milwaukee Brewers will be without pitcher Abner Uribe for one game after he was suspended for breaking one of baseball's biggest unwritten rules: Never direct a Kenny Powers/ D-Generation X crotch chop at the opposing dugout. Abner Uribe's controversial celebration divided baseball fans, sparked retaliation fears, and drew criticism from his own manager. Uribe hit the iconic celebration this weekend after an inning-ending strikeout against the St. Louis Cardinals . Brewers' manager Pat Murphy did not condone the celebration, and Uribe himself apologized for it .

We introduce a continuous-time generative modeling framework, motivated by the Chow-Rashevskii theorem, that builds expressive flows from a small set of fixed vector fields and learned scalar controls. Instead of learning an unconstrained high-dimensional vector field, our framework constructs the velocity by modulating fixed vector fields with learned scalar control functions. When the fixed fields are bracket-generating, their Lie algebra spans the ambient space, providing a mechanism for expressive transport with only a small number of learned control channels and offering a parameter-efficient geometric alternative to standard vector-field parameterizations. This decoupled formulation yields a structured and interpretable generative model in which the number of learned scalar output channels can be chosen independently of the ambient dimension. We formulate an expressivity principle showing that, under suitable controllability and well-posedness assumptions, such controlled flows can transport a source distribution to a target distribution. We train the resulting model using a continuous-normalizing-flow likelihood objective and present proof-of-concept experiments on synthetic distributions.

Selecting a finite dictionary of observables whose span is Koopman-invariant is a central challenge in data-driven Koopman operator approximation. We address this problem by exploiting zero-block structure in Extended Dynamic Mode Decomposition (EDMD) matrices. We show that any sub-dictionary whose span is Koopman-invariant induces an exact zero block in the EDMD matrix, even for finite data. We then show that such blocks can be detected by applying PageRank to a row-normalized EDMD matrix constructed from a large initial dictionary. The theory extends to approximately invariant subspaces and yields stronger guarantees for personalized PageRank (PPR) when the seed observables lie inside the target block and reach all observables in that block. Combining EDMD concentration bounds with PageRank perturbation theory gives end-to-end detection guarantees with $O(1/\sqrt{M})$ finite-sample scaling and explicit constants. More generally, without assuming an invariant subspace exists, high PPR mass on a sub-dictionary controls discounted multi-step leakage from the seed observables. Numerical experiments on the Duffing oscillator, Van der Pol oscillator, Lorenz system, and a three-well Ramachandran potential suggest that the method identifies compact, interpretable dictionaries with accurate predictions.

Squared Wasserstein distance is a frequently used tool to measure discrepancy between probability distributions. This distance is typically computed between empirical measures of size $n$ from two underlying random samples. Unfortunately, even in lower dimensional Euclidean space problems $\left( d \in \{2,3\} \right)$, algorithms for Wasserstein distance computation with approximate or exact precision guarantees scale poorly in the runtime as a function of $n$ and the desired precision. In response, we consider the computational-statistical runtime, where the goal is to estimate from samples the Wasserstein distance between potentially smooth measures up to $ε$-additive error in expectation with respect to the sampling; we allow $O(1)$ computational cost for collecting a sample. Towards this, we develop a Sample-Sketch-Solve paradigm where we introduce a regular cartesian grid sketch of the samples. We show that (especially under $α$-Hölder smooth distributions) this can compress the data without increasing asymptotic error, and also regularizes the structure which enables faster exact algorithms. Ultimately, we approximate $W_2^2(P,Q)$ within $ε$ error in $ε^{-\max(2,\frac{d+1+o(1)}{1+α})}$ time for $0 < α< 1$ Hölder smooth distributions $P,Q$ on $(0,1)^{d}$; an optimal $Θ(ε^{-2})$ for $α> 1/2$ when $d=2$ and nearly optimal as $α\to 1$ when $d = 3$.

Nothing to see here: Cowboys quarterback Dak Prescott and his ex's bridesmaid are just friends Can't sleep, Japanese bear-fighting robo-wolves will eat me and a gorilla trade captivates the nation A replica of KITT from'Knight Rider' got a traffic ticket in another state despite being in a museum Jena Sims covers her butt with a bow at the SI Swimsuit party, the NFL saves us from Romo & is Star Wars dead? Taylor Sheridan shocks'Yellowstone' fans with new spinoff series, provides viewers with dark ride Early reviews for new'Star Wars' movie are generally horrific, but does anyone even care at this point? Retired Navy admiral makes bombshell claim about UFOs and'non-human intelligence' controlling them Mother's Day chaos at a steakhouse includes knives thrown at waiters and a touching mother-daughter arrest Japanese bear-fightin' robo-wolves are pure unleaded nightmare fuel but they're working Jennifer Lopez's dress holds on for dear life at her Netflix event, Trump powers through some wine & Kay Adams Dr. Ben Carson urges Americans to'stand up for what they believe in' after Rededicate 250 event Trump sends WARNING to Iran: 'CLOCK IS TICKING' Trump warns Iran'the clock is ticking' as US discusses military options The radicalization of the left and the Democrats is'the big political story': Michael Shellenberger OutKick Chiefs heiress Gracie Hunt might have set a bridesmaids record, fighting in the Dover parking lot & wings! Gracie Hunt announced 14 bridesmaids for her wedding to Trent Green's son, outnumbering an MLB pitching roster Let's get Monday Screencaps rolling by me saying thank you to the dozens and dozens of you who tagged me, or emailed, the video floating around of the Pizza Hut guy who is trying to bring back Pizza Hut Classics as the norm for the brand. Look, I'm not going to say Screencaps is why CBS News did that segment.

Nothing to see here: Cowboys quarterback Dak Prescott and his ex's bridesmaid are just friends Can't sleep, Japanese bear-fighting robo-wolves will eat me and a gorilla trade captivates the nation A replica of KITT from'Knight Rider' got a traffic ticket in another state despite being in a museum Jena Sims covers her butt with a bow at the SI Swimsuit party, the NFL saves us from Romo & is Star Wars dead? Taylor Sheridan shocks'Yellowstone' fans with new spinoff series, provides viewers with dark ride Early reviews for new'Star Wars' movie are generally horrific, but does anyone even care at this point? Retired Navy admiral makes bombshell claim about UFOs and'non-human intelligence' controlling them Mother's Day chaos at a steakhouse includes knives thrown at waiters and a touching mother-daughter arrest Japanese bear-fightin' robo-wolves are pure unleaded nightmare fuel but they're working Jennifer Lopez's dress holds on for dear life at her Netflix event, Trump powers through some wine & Kay Adams Trump warns Iran'clock is ticking' amid Strait of Hormuz tensions Sen. John Kennedy reacts to Bill Cassidy's primary loss in Louisiana Peter Doocy gives BEHIND-THE-SCENES look at Trump's China visit Speaker Johnson says Trump admin'laid the groundwork' for new China deal Sen. Bill Cassidy ousted in Louisiana primary by Trump-backed opponent Donald Trump rejects Xi Jinping's offer on Iran conflict Senate Republicans narrowly block Democrats' effort to end Iran conflict Cignetti reflected on his time at Alabama under Nick Saban, describing the intensity of a program where every day felt like 4th and 1. Footage from a high-speed chase in Wisconsin earlier this month shows the fleeing driver going airborne and jumping his car over another. It's one of the most insane dashcam videos you'll ever see. The Fond du Lac County Sheriff's Office released the now-viral footage of the arrest, which took place on Saturday morning, May 9. A fleeing driver goes airborne and flies his car over another one during a high-speed police chase in Wisconsin.

Charlie Berens: 'I will stick to comedy when our politicians stick to policy and stop protecting big tech and start protecting the people that put them into office.' Charlie Berens: 'I will stick to comedy when our politicians stick to policy and stop protecting big tech and start protecting the people that put them into office.' 'Nobody's negotiating for the people here': comedian Charlie Berens takes on AI datacenters Known for his'Manitowoc Minute' skits and midwestern humor, the journalist turned comedian is speaking out against the AI datacenter boom in Wisconsin Last summer, journalist turned comedian Charlie Berens started getting social media messages from concerned Wisconsin residents about plans for a massive datacenter campus in their state. The developer, Vantage Data Centers, claimed the $8 bn project would largely run on zero-emission energy resources like solar, wind and battery storage. The company said the campus would bring thousands of temporary construction jobs and potentially more than 1,000 permanent jobs to Port Washington, a city of 13,000 people about a half-hour north of Milwaukee. Residents opposed the project for what they said was lack of transparency and criticized the lucrative tax incentives offered to Vantage.

Every week, sloths climb down to do their business on the forest floor--where predators lie in wait. 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. Sloths can live up to 30 years in the wild. Breakthroughs, discoveries, and DIY tips sent six days a week. Every week, without fail, the three-toed sloth takes a breathtaking, almost suicidal risk--all for the sake of a bowel movement.