Drone footage has captured a group of polar bears living inside an abandoned research station on Russia's Kolyuchin Island. Travel blogger, Vadim Makhorov, shared video that shows several bears inside the scattered building, looking through windows and walking around the island. A bear could be seen trying to catch the blogger's drone as it approached. The Kolyuchin weather station was abandoned in the early 1990s, after the collapse of the Soviet Union. Russian Alexey Molchanov breaks his own 2024 world record in one of the most technically challenging freediving events.

Russian freediver Alexey Molchanov plunged 126m (413ft) in a single breath to set a new world record at the AIDA Freediving World Championships in Limassol, Cyprus. He descended deep below the Mediterranean Sea with nothing but a headlight, two fins and a rope as a guide, in a feat considered one of the most technically challenging freedive categories. Mr Molchanov broke his own 2024 world record of 125m, during which he held his breath for a staggering four minutes and 32 seconds. The BBC's Russia editor, Steve Rosenberg, reports from joint manoeuvres by Russia and Belarus, as part of the Zapad 2025 (West 2025) military drills. 'Looks like a toy, but it's real': BBC examines a downed Russian drone Drones like this one were shot down over Polish airspace in the early hours of Wednesday.

The eSafety commissioner, Julie Inman Grant, took Anthony Rotondo to court in 2023 after he replied to a removal notice, saying it meant nothing to him as he was not an Australian resident. The eSafety commissioner, Julie Inman Grant, took Anthony Rotondo to court in 2023 after he replied to a removal notice, saying it meant nothing to him as he was not an Australian resident. Watchdog applauds'strong message' after federal court orders Gold Coast man Anthony Rotondo to pay for posting deepfake images to a now-defunct website Fri 26 Sep 2025 06.02 EDTLast modified on Fri 26 Sep 2025 06.21 EDT A man who posted deepfake pornographic images of prominent Australian women has been slapped with a hefty fine as a "strong message" in a first-of-its-kind case. The federal court ordered Anthony Rotondo, also known as Antonio, to pay a $343,500 penalty plus costs on Friday after the online regulator eSafety Commissioner brought a case against him almost two years ago. Rotondo admitted to posting the images on a website called MrDeepFakes.com,

Trump accuses Comey of nearly starting a war as it's revealed why new MAGA star prosecutor rushed indictment Tim Allen reveals Erika Kirk's speech inspired him to forgive his father's killer 60 years after tragic death Girl found dead in D4vd's Tesla was AGED 12 when they met online. Now as masked men guard his mansion, friends unravel the truth... and tell of the chilling moment her texts stopped Someone is trying to drive a wedge between Charles and William. I'm no conspiracy theorist, but even my royal sources say something'calculated' and odd is going on. This is what's really happening, reveals REBECCA ENGLISH The $2 fruit that reverses diabetes... as 100million Americans suffer from deadly condition and most don't know it What would her mother think? Johnny Carson's Malibu home lists for $110m - and it has jaw-dropping hidden feature Selena Gomez and Benny Blanco's FULL wedding plans leaked: Top secret details, surprise celeb host and a MAJOR A-list drop out... ahead of ceremony this weekend Texas man's final words as he is executed for the'exorcism' killing of his girlfriend's 13-month-old daughter Creepy New England road is so isolated it only sees a car every few DAYS.

We develop a new high-dimensional statistical learning model which can take advantage of structured correlation in data even in the presence of randomness. We completely characterize learnability in this model in terms of VCN${}_{k,k}$-dimension (essentially $k$-dependence from Shelah's classification theory). This model suggests a theoretical explanation for the success of certain algorithms in the 2006~Netflix Prize competition.

Quantum Artificial Intelligence (QAI), integrating Artificial Intelligence (AI) and Quantum Computing (QC), promises transformative advances, such as enhancing privacy though AI - enabled quantum cryptography or securing future digital systems with quantum - resistance encryption protocols . A k ey barrier for QAI applications is that they inherit data risks associated with both AI and QC, including privacy and security concerns. AI's reliance on sensitive datasets, combined with QC's threat to classical encryption, creates complex vulnerabilities that are not studie d systematically . These issues directly impact the trustworthiness and reliability of AI or QAI systems, making them critical to address . This study aims to expand understanding by systematically reviewing 67 privacy and security - related studies . Our m ain contribution is a taxonomy developed to classify QAI data risks systematically. W e identify 22 key data risks grouped into five categories: governance, risk assessment, control implementation, user considerations, and continuous monitoring. Our findings reveal emerging vulnerabilities unique to QAI and highlight significant gaps in holistic understanding. This paper contributes to advancing trustworthy AI or QAI and provides a future research and risk assessment tool development to manage the evolving QAI data risk landscape .

Reverse differentiation is an essential operation for automatic differentiation. Cartesian reverse differential categories axiomatize reverse differentiation in a categorical framework, where one of the primary axioms is the reverse chain rule, which is the formula that expresses the reverse derivative of a composition. Here, we present the reverse differential analogue of Faa di Bruno's Formula, which gives a higher-order reverse chain rule in a Cartesian reverse differential category. To properly do so, we also define partial reverse derivatives and higher-order reverse derivatives in a Cartesian reverse differential category.

Israeli strike on Yemen's Houthis reportedly kills eight The Israeli military says its air force has carried out its most powerful strike in Yemen in response to the Houthi movement's repeated drone and missile attacks on Israel. The Israel Defense Forces (IDF) said dozens of its aircraft bombed targets belonging to the Houthis' security and intelligence services, and military in the capital Sanaa. The Houthi-run government's health ministry denounced what it called Israel's brutal crime, saying civilian facilities and residential buildings were hit and that eight people were killed. It comes a day after 22 people were injured, two of them seriously, in a Houthi drone attack in the Israeli Red Sea resort of Eilat. The Houthis have controlled much of north-western Yemen since they ousted the country's internationally recognised government from there 10 years ago, sparking a civil war.

This image was in the top 5 candidates in the Astro Landscape category of the 2025 Astrophotography Prize Photographer of the Year. Breakthroughs, discoveries, and DIY tips sent every weekday. After 545 entries from 155 photographers in 35 countries, the winners of this year's Astrophotography Prize Photographer of the Year are officially here. Photographer Ani Shastri of the United States received the top honors for Deep Field Squid Nebula (Ou4), a stunning image of a nebula about six times the size of the full moon. The judging panel featured 20 astrophotographers from eight countries: the United States, United Kingdom, France, Germany, Thailand, Singapore, New Zealand, and Australia.