Predicting Chaos: A New Approach to Forecasting
![The study introduces a generative framework for forecasting chaotic dynamical systems that models the joint probability distribution of temporal sequences-[latex] p({x}\_{t\_{n}},{x}\_{t\_{1}},{x}\_{t\_{2}},\ldots) [/latex]-enabling forecasts derived through marginalization and intrinsic uncertainty quantification via ensemble variance, autocorrelation, and Wasserstein drift, thereby addressing the challenges posed by high-dimensional chaos and sensitivity to initial conditions.](https://arxiv.org/html/2512.24446v1/figures/vizabs_B.png)
A novel generative modeling framework leverages joint probability distributions to deliver more accurate and statistically consistent long-term predictions for complex, dynamic systems.
![The study introduces a generative framework for forecasting chaotic dynamical systems that models the joint probability distribution of temporal sequences-[latex] p({x}\_{t\_{n}},{x}\_{t\_{1}},{x}\_{t\_{2}},\ldots) [/latex]-enabling forecasts derived through marginalization and intrinsic uncertainty quantification via ensemble variance, autocorrelation, and Wasserstein drift, thereby addressing the challenges posed by high-dimensional chaos and sensitivity to initial conditions.](https://arxiv.org/html/2512.24446v1/figures/vizabs_B.png)
A novel generative modeling framework leverages joint probability distributions to deliver more accurate and statistically consistent long-term predictions for complex, dynamic systems.

James Cameron is better known as a director than a writer, largely because he usually directs the projects he writes. But one of his most important contributions to the science fiction genre came in the 1990s with the film Strange Days, which was directed by his then-wife, Kathryn Bigelow. This somewhat overlooked film remains a standout example of hard sci-fi and continues to appeal to dedicated fans.

A huge number of creative works are becoming freely available this year, and there are some real gems among them! Classic characters like Betty Boop, Blondie, and Dagwood are now in the public domain. Even the very first version of Pluto (originally known as Rover) is free to use. Several famous detectives also debuted in 1930, including Nancy Drew, Miss Marple, and Sam Spade. As for music, you can now freely use the song from Spongebob – “Livin’ in the Sunlight, Lovin’ in the Moonlight” – though the original recording by Tiny Tim is still copyrighted, as are classics like “Georgia on my Mind” and “Embraceable You.” On the book front, William Faulkner’s As I Lay Dying, The Little Engine That Could, and Sigmund Freud’s Civilization and Its Discontents are all now public domain. Plus, the second Marx Bros. movie, Animal Crackers, is free to show! Head over to the Internet Archive and enjoy!

LaShawnna Ridley and Tiffany Hines filed a lawsuit on Wednesday, December 31st, claiming that Drake and Ross falsely presented themselves as gambling with their own money. They allege that the funds Drake and Ross used were actually provided by the online gambling platform, Stake.

This new show feels particularly meaningful for Jennifer Lopez, as she previously had a long-term performance residency in Las Vegas starting in 2016, shortly after her divorce from Marc Anthony. Given that her recent split from Ben Affleck was finalized in August 2024, many are noticing the similarities. Here’s what Lopez shared with the Las Vegas audience on New Year’s Eve:

After that, Green Lantern fans grew to appreciate Kyle Rayner, who became the sole Green Lantern protecting Earth and the wider universe for ten years. Though he hasn’t been the primary Green Lantern for nearly two decades – instead working as a hero on different worlds – he’s now poised to return to the role.

Cohen also disapproved of Adams’ focus on nightlife and partying as mayor, jokingly saying, “You spent four years going to clubs, and we always saw you there.” However, Cohen did acknowledge Adams’ success in reducing the city’s rat population. He quipped, “He made a dent in the rat problem, but maybe that’s symbolic—there are fewer rats in 2026.”

A new study explores whether current artificial intelligence systems can accurately gauge their own capabilities before attempting complex tasks.

The idea of multiple universes isn’t new to movies and television, but it’s become incredibly popular, especially after Marvel started using it. When done well, stories like Spider-Man: Into the Spider-Verse and Everything Everywhere All at Once are deeply moving explorations of relationships, showing characters confronting alternate versions of their lives and coming to terms with their past decisions. However, repeating this concept too often can diminish its emotional power.

A new system at a Shenzhen mall is causing a stir online after it was revealed that the mall is using technology to publicly discourage smoking in its restrooms.