Accurate and efficient analysis of multivariate spatio-temporal data is critical in climatology, geology, and sociology applications. Existing models usually assume simple inter-dependence among variables, space, and time, and are computationally expensive. We propose a unified low rank tensor learning framework for multivariate spatio-temporal analysis, which can conveniently incorporate different properties in spatio-temporal data, such as spatial clustering and shared structure among variables. We demonstrate how the general framework can be applied to cokriging and forecasting tasks, and develop an efficient greedy algorithm to solve the resulting optimization problem with convergence guarantee. We conduct experiments on both synthetic datasets and real application datasets to demonstrate that our method is not only significantly faster than existing methods but also achieves lower estimation error.

Captain of tanker linked to Russian'shadow fleet' charged in France The captain of an oil tanker believed to be part of Russia's shadow fleet of vessels used to evade sanctions has been charged by French authorities. The Chinese national was handed one count of refusing to follow instructions from the French navy and told to attend a court hearing in the northern coastal city of Brest next February. The Boracay left Russia last month and was off the coast of Denmark when unidentified drones forced the temporary closure of several airports last week. The tanker was earlier boarded by French soldiers because it was on a list of vessels subject to EU sanctions for carrying Russian oil exports. Russian President Vladimir Putin called France's actions piracy.

Diddy FUMBLES as he speaks in public for first time in 13 months and begs his mother's forgiveness through tears Robert Griffin III involved in'scary' car crash with wife and kids as shocking photos emerge Shroud of Turin mystery deepens as surgeon spots hidden detail that points to Jesus' resurrection I was so happy after trying a trendy new cosmetic procedure. But 10 years later I suffered a devastating side effect... the doctor had lied I'm no longer sleeping with my husband - and never will again, says MOLLY RYDDELL. I love him, but counted down the moments until he climaxed. Then I couldn't bear it any more and the truth spilled out... so many women feel the same The'middle-class kinks' saving marriages: Wives reveal the eight buzzy sex trends that revived their lagging libidos - including the fantasy husbands are secretly obsessed with I'm a woman with autism... here are the signs you might be masking, even from yourself Lori Loughlin's husband Mossimo Giannulli seen with mystery brunette in tiny skirt day after shock split Body count from Houston's bayous rises as serial killer whispers grip city and residents are told: 'Be vigilant' Realtor with expensive ex-wife arrested over shocking $11.6m claims about how he was funding Palm Beach lifestyle Trump dollar coin design released by Treasury... and it's inspired by the most iconic political photo of the century I've loved Taylor Swift for years. Mystery deepens over Hulk Hogan's death as his widow faces fresh anguish Warning as pasta salad is recalled due to risk of'fatal infections' The'weather bomb' that's going to RUIN your weekend: Scientists reveal the devastating system behind Storm Amy - and warn it could wreak havoc across the UK READ MORE: Map reveals when Storm Amy's weather bomb will hit The first storm of the season is nearly upon us, and it's set to be a particularly destructive one.

French troops board oil tanker linked to Russian'shadow fleet' French soldiers have boarded an oil tanker believed to be part of Russia's shadow fleet, used to evade sanctions imposed because of the war in Ukraine. The Boracay left Russia last month and was off the coast of Denmark when unidentified drones forced the temporary closure of several airports last week. It has been anchored off western France for a few days. French President Emmanuel Macron said at an EU leaders' summit in Copenhagen on Wednesday that the crew had committed serious offences, but did not elaborate. Kremlin spokesman Dmitry Peskov said Russia had no knowledge of the vessel.

Trump dollar coin design released by Treasury... and it's inspired by an iconic political photo Top plastic surgeons reveal secrets behind Taylor Swift's'changing' face: 'It is looking very full' Fans erupt at Taylor Swift's'dig' at Travis Kelce's ex Kayla Nicole in wild The Life of a Showgirl track Shroud of Turin mystery deepens as surgeon spots hidden detail that points to Jesus' resurrection Hollywood A-listers pay me $50,000 to cure their drug addicted nepo-babies because they can't afford for these secrets to go public I'm no longer sleeping with my husband - and never will again, says MOLLY RYDDELL. I love him, but counted down the moments until he climaxed. Then I couldn't bear it any more and the truth spilled out... so many women feel the same Lori Loughlin's husband Mossimo Giannulli seen with mystery brunette in tiny skirt day after shock split I'm a woman with autism... here are the signs you might be masking, even from yourself The truth about Keith Urban's guitarist'other woman' Maggie Baugh revealed amid Nicole Kidman divorce Taylor, your album should be'Life of a Callgirl'. KENNEDY's appalled take on Swift's new record... and its ultra-vivid sex shout outs for Travis the Sasquatch I was so happy after trying a trendy new cosmetic procedure. But 10 years later I suffered a devastating side effect... the doctor had lied The'middle-class kinks' saving marriages: Wives reveal the eight buzzy sex trends that revived their lagging libidos - including the fantasy husbands are secretly obsessed with Cake-faced 90s sitcom star looks unrecognizable as she ditches the heavy eyeshadow for an LA errand run can you guess who?

We introduce a formal active learning methodology for guiding the placement of Lagrangian observers to infer time-dependent vector fields -- a key task in oceanography, marine science, and ocean engineering -- using a physics-informed spatio-temporal Gaussian process surrogate model. The majority of existing placement campaigns either follow standard `space-filling' designs or relatively ad-hoc expert opinions. A key challenge to applying principled active learning in this setting is that Lagrangian observers are continuously advected through the vector field, so they make measurements at different locations and times. It is, therefore, important to consider the likely future trajectories of placed observers to account for the utility of candidate placement locations. To this end, we present BALLAST: Bayesian Active Learning with Look-ahead Amendment for Sea-drifter Trajectories. We observe noticeable benefits of BALLAST-aided sequential observer placement strategies on both synthetic and high-fidelity ocean current models.

A new study finds algae, mussels, and starfish flock to munitions dumped in the Baltic Sea. Breakthroughs, discoveries, and DIY tips sent every weekday. As the ink dried on Germany's unconditional surrender on May 8, 1945, celebrations erupted across the world. People cheered, wept, and kissed in the streets as World War II finally came to an end in Europe. A few months later at the Potsdam Conference, Germany agreed to demilitarize and dismantle its once formidable army, leaving the nation with lots and lots of leftover munitions.

Non-stationary extremal dependence, whereby the relationship between the extremes of multiple variables evolves over time, is commonly observed in many environmental and financial data sets. However, most multivariate extreme value models are only suited to stationary data. A recent approach to multivariate extreme value modelling uses a geometric framework, whereby extremal dependence features are inferred through the limiting shapes of scaled sample clouds. This framework can capture a wide range of dependence structures, and a variety of inference procedures have been proposed in the stationary setting. In this work, we first extend the geometric framework to the non-stationary setting and outline assumptions to ensure the necessary convergence conditions hold. We then introduce a flexible, semi-parametric modelling framework for obtaining estimates of limit sets in the non-stationary setting. Through rigorous simulation studies, we demonstrate that our proposed framework can capture a wide range of dependence forms and is robust to different model formulations. We illustrate the proposed methods on financial returns data and present several practical uses.

Can Ukraine restore its pre-war borders? Why are Tomahawk missiles for Ukraine a'red line' for Russia? Is Russia testing NATO with aerial incursions in Europe? Russian forces killed four people, including a 12-year-old girl, and injured 13 in an attack on Ukraine's capital, Kyiv, on Sunday night, Tymur Tkachenko, the head of Kyiv's military administration, wrote in a post on Telegram. Those killed also included staff and patients at a cardiology centre, Tkachenko added.

Taylor, your album should be'Life of a Callgirl'. KENNEDY's appalled take on Swift's new record... and its ultra-vivid sex shout outs for Travis the Sasquatch The truth about Keith Urban's guitarist'other woman' Maggie Baugh revealed amid Nicole Kidman divorce How I look like this at 62. I've lost 5 stone fast, 20 years off my biological age and wear size 8... without weight-loss jabs. Hollywood A-listers pay me $50,000 to cure their drug addicted nepo-babies because they can't afford for these secrets to go public Shroud of Turin mystery deepens as surgeon spots hidden detail that points to Jesus' resurrection Trump dollar coin design released by Treasury... and it's inspired by an iconic political photo I'm no longer sleeping with my husband - and never will again, says MOLLY RYDDELL. I love him, but counted down the moments until he climaxed. Then I couldn't bear it any more and the truth spilled out... so many women feel the same Fans erupt at Taylor Swift's'dig' at Travis Kelce's ex Kayla Nicole in wild The Life of a Showgirl track Lori Loughlin's husband Mossimo Giannulli seen with mystery brunette in tiny skirt day after shock split Top plastic surgeons reveal secrets behind Taylor Swift's'changing' face: 'It is looking very full' I'm a woman with autism... here are the signs you might be masking, even from yourself Cake-faced 90s sitcom star looks unrecognizable as she ditches the heavy eyeshadow for an LA errand run can you guess who?