In Data Science, entities are typically represented by single valued measurements. Symbolic Data Analysis extends this framework to more complex structures, such as intervals and histograms, that express internal variability. We propose an extension of multiclass Fisher's Discriminant Analysis to interval-valued data, using Moore's interval arithmetic and the Mallows' distance. Fisher's objective function is generalised to consider simultaneously the contributions of the centres and the ranges of intervals and is numerically maximised. The resulting discriminant directions are then used to classify interval-valued observations.To support visual assessment, we adapt the class map, originally introduced for conventional data, to classifiers that assign labels through minimum distance rules. We also extend the silhouette plot to this setting and use stacked mosaic plots to complement the visual display of class assignments. Together, these graphical tools provide insight into classifier performance and the strength of class membership. Applications to real datasets illustrate the proposed methodology and demonstrate its value in interpreting classification results for interval-valued data.

More UK families will know what sacrifice for our nation means as the nation seeks to deter a potential confrontation with Russia, the head of the military has said. Sir Richard Knighton said the country's security cannot be outsourced to the armed forces and requires a whole-of-society response, including harnessing UK universities and manufacturing. While the chief of the defence staff suggested there was only a remote chance of Russia directly attacking the UK, he told an event at the Royal United Services Institute that so-called hybrid attacks showed the threat was worsening . He referenced a Russian spy ship that was recently suspected of mapping undersea cables near UK waters. Every day the UK is subject to an onslaught of cyber-attacks from Russia and we know that Russian agents are seeking to conduct sabotage and have killed on our shores, he added.

How the US left Ukraine exposed to Russia's winter war Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? Ukraine has carried out a successful underwater drone strike on a Russian submarine in the port of Novorossiysk, causing critical damage to the vessel, its domestic security service says. In a statement on Monday, the Security Service of Ukraine (SBU) said the Kilo-class submarine was knocked out of operation in the first such attack by Sea Baby drones. The SBU said the submarine "carried four Kalibr cruise missile launchers" used to strike Ukrainian territory.

Coldplay's Chris Martin made a surprise appearance at a couple's wedding to play the music for their first dance. The groom's mother had asked the singer for a video message to be played at the wedding of Abbie and James Hotchkiss from Stafford. He went one better, though, and said he would appear in person, with only the newlyweds and the groom's parents in on the secret. Surprised guests saw him walk into the wedding venue, Blithfield Lakeside Barns in Staffordshire, wearing a white beanie hat to perform All My Love at the piano while the couple danced. Guests took a while to notice it was actually him, but didn't want to ruin our wedding day so asked us loads of questions once he'd gone, Mrs Hotchkiss said.

Interstellar Arc is an immersive sci-fi experience that uses recent advances in headset tech to break new ground in virtual reality. And it all happens inside an empty-looking room in Las Vegas. It feels like I've been transported into a scene straight out of a science fiction movie. I'm walking around on a giant centrifuge in space, which I can see the outlines of at the edge of my vision. Beyond it, I see the planet we're orbiting. The pathways I walk on stretch endlessly above and below me, giving me the feeling I'm in an absolutely massive structure.

The US firm behind the Roomba smart vacuum cleaner, iRobot, has filed for bankruptcy protection after facing competition from Chinese rivals and being hit by tariffs. Under the so-called pre-packaged Chapter 11 process, the main manufacturer of its devices, Shenzhen-based Picea Robotics, will take ownership of the firm. The tough commercial landscape had forced iRobot to cut its prices and make major investments in new technology, according to documents filed on Sunday. US import duties of 46% on goods from Vietnam, where most of iRobot's devices for the American market are made, increased its costs by $23m (£17.2m) this year, the firm said. The loss-making company was valued at $3.56bn in 2021 after the pandemic helped to drive strong demand for its products.

Things to Do in L.A. Tap to enable a layout that focuses on the article. Rob Reiner used his fame to advocate for progressive causes. This is read by an automated voice. Please report any issues or inconsistencies here . Rob Reiner was a Hollywood legend and also a political force, a frequent voice in progressive causes and a Democratic Party activist.

Things to Do in L.A. Tap to enable a layout that focuses on the article. This is read by an automated voice. Please report any issues or inconsistencies here . Two people were found dead Sunday afternoon at the Brentwood home of director and actor Rob Reiner, multiple law enforcement sources confirmed. Margaret Stewart, a Los Angeles Fire Department spokesman, said the department was called to the home around 3:30 p.m. for medical aid.

'Hero' who wrestled gun from Bondi shooter named as Ahmed al Ahmed A hero bystander who was filmed wrestling a gun from one of the Bondi Beach attackers has been named as 43-year-old Ahmed al Ahmed. Video verified by the BBC showed Mr Ahmed run at the gunman and seize his weapon, before turning the gun round on him, forcing his retreat. Mr Ahmed, a fruit shop owner and father of two, remains in hospital, where he has undergone surgery for bullet wounds to his arm and hand, his family told 7News Australia. Eleven people were killed in the shooting on Sunday night, as more than 1,000 people attended an event to celebrate Hanukkah. The attack has since been declared by police as a terrorist incident targeting the Jewish community.

Australian police say a shooting at Bondi Beach, which killed 12 people - including one gunman - targeted the Jewish community on the first day of Hanukkah. Twenty-nine people were injured, with a second gunman in critical condition. Drone footage appears to show a gunman firing from a bridge in a nearby carpark. In the wake of a recent fatal shark attack, the BBC is off the coast in Sydney to learn how authorities are trying to protect people. The BBC's Katy Watson was in the courtroom as Erin Patterson was sentenced to life.