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Multi-task Modeling for Engineering Applications with Sparse Data

arXiv.org Machine Learning

Modern engineering and scientific workflows frequently require simultaneous prediction across related tasks and fidelity levels [1-6]. In such contexts, some outputs are scarce and expensive to obtain, while others are cheaper and more abundant. Multi-task Gaussian processes (MTGPs), also known as multi-output Gaussian processes, offer a principled Bayesian framework to exploit inter-task correlations, enabling knowledge sharing that improves predictive accuracy and reduces the demand for large high-fidelity datasets [7-9]. Over decades of development, MTGPs have been applied across diverse domains, including time series forecasting, multitask optimization, and multifidelity classification, demonstrating their broad utility wherever data cost asymmetries and cross-task dependencies are present [10-16]. The central motivation for MTGPs is to leverage dependencies among related tasks to enhance predictive quality when high-fidelity information is limited [17]. For example, predicting an airfoil's lift coefficient from limited, expensive high-fidelity computational fluid dynamics (CFD) simulations can benefit from correlating with sufficient low-fidelity simulations [3]. Recent work in joint multi-objective and multifidelity optimization has also utilized MT - GPs to balance exploration and exploitation across tasks, improving predictive performance and decision-making by explicitly modeling relationships among outputs and fidelities [12].


Could this mysterious 'pink slime' news site influence California's 2026 election?

Los Angeles Times

Things to Do in L.A. Tap to enable a layout that focuses on the article. Voters are silhouetted near the American flag while casting ballots in the California special election at the Huntington Beach Central Library in Huntington Beach on Nov. 4. This is read by an automated voice. Please report any issues or inconsistencies here . A mysterious news site called the California Courier floods Facebook with conservative-leaning stories attacking Democrats.


Malaysia suspends access to Musk's Grok AI

The Japan Times

Malaysia's tech regulator said on Sunday that the country suspended access to Elon Musk's chatbot Grok over AI-generated pornographic content. AFP-JIJI - Malaysia suspended access to Elon Musk's chatbot Grok over AI-generated pornographic content, the country's tech regulator said on Sunday. The decision follows global backlash after it emerged that Grok's image creation feature allowed users to sexualize pictures of women and children using simple text prompts. On Saturday Indonesia became the first country to deny all access to the tool, which has been restricted to paying subscribers elsewhere. The Malaysian Communications and Multimedia Commission said in a statement it had directed a temporary restriction on access to the Grok artificial intelligence for users in Malaysia with immediate effect. This action follows repeated misuse of Grok to generate obscene, sexually explicit, indecent, grossly offensive and non-consensual manipulated images, the regulator said.


Ukrainian drone attack kills one in Russia's Voronezh, local officials say

Al Jazeera

Could Ukraine hold a presidential election right now? Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? 'Ukraine is running out of men, money and time' Ukrainian drone attack kills one in Russia's Voronezh, local officials say A Ukrainian drone attack has killed one person and wounded three in the Russian city of Voronezh, according to local officials. Governor Alexander Gusev said in a social media post on Sunday that a young woman died overnight in a hospital intensive care unit after debris from a drone fell on a house during the attack.


The Danger of Reducing America's Venezuela Invasion to a 60-Second Video

WIRED

January 3 marked the return of US military intervention in Latin America. While the events unfolded between Caracas and Brooklyn, social networks had already fabricated their own reality. A fire is seen in the distance at Fort Tiuna, Venezuela's largest military complex, following a series of explosions in Caracas on January 3, 2026. Geopolitics are being reduced to videos lasting just a few minutes. Social media has surpassed traditional media, not only in the speed with which it is created and shared, but also in its ability to frame our reality. People have the illusion of knowing what is happening and why within just a few hours--or less--of major world events. But reality is more complicated.


'Dangerous and alarming': Google removes some of its AI summaries after users' health put at risk

The Guardian

Google has said AI Overviews, which use generative AI to provide snapshots of information on a topic or question, are'helpful and reliable'. Google has said AI Overviews, which use generative AI to provide snapshots of information on a topic or question, are'helpful and reliable'. 'Dangerous and alarming': Google removes some of its AI summaries after users' health put at risk Google has removed some of its artificial intelligence health summaries after a Guardian investigation found people were being put at risk of harm by false and misleading information. The company has said its AI Overviews, which use generative AI to provide snapshots of essential information about a topic or question, are " helpful " and " reliable ". But some of the summaries, which appear at the top of search results, served up inaccurate health information, putting users at risk of harm.


Lamar wants to have children with his girlfriend. The problem? She's entirely AI

The Guardian

Lamar wants to have children with his girlfriend. L amar remembered the moment of betrayal like it was yesterday. He'd gone to the party with his girlfriend but hadn't seen her for over an hour, and it wasn't like her to disappear. He slipped down the hallway to check his phone. At that point, he heard murmurs coming from one of the bedrooms and thought he recognised his best friend Jason's low voice. As he pushed the door ajar, they were both still scrambling to throw their clothes on; her shirt was unbuttoned, while Jason struggled to cover himself. The image of his girlfriend and best friend together hit Lamar like a blow to the chest. He left without saying a word. Two years on, when he spoke to me, the memory remained raw. He was still seething with anger, as if telling the story for the first time.


'Add blood, forced smile': how Grok's nudification tool went viral

The Guardian

By 8 January as many as 6,000 bikini demands were being made to the chatbot every hour, according to analysis conducted for the Guardian. By 8 January as many as 6,000 bikini demands were being made to the chatbot every hour, according to analysis conducted for the Guardian. 'Add blood, forced smile': how Grok's nudification tool went viral The'put her in a bikini' trend rapidly evolved into hundreds of thousands of requests to strip clothes from photos of women, horrifying those targeted Like thousands of women across the world, Evie, a 22-year-old photographer from Lincolnshire, woke up on New Year's Day, looked at her phone and was alarmed to see that fully clothed photographs of her had been digitally manipulated by Elon Musk's AI tool, Grok, to show her in just a bikini. The "put her in a bikini" trend began quietly at the end of last year before exploding at the start of 2026. Within days, hundreds of thousands of requests were being made to the Grok chatbot, asking it to strip the clothes from photographs of women.


Russia-Ukraine war: List of key events, day 1,417

Al Jazeera

Could Ukraine hold a presidential election right now? Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? 'Ukraine is running out of men, money and time' Russian forces launched artillery and drone attacks on Ukraine's Dnipropetrovsk region on Saturday, killing a 68-year-old man, wounding three others and causing fires to break out in residential buildings, according to Ukraine's emergency service. Russian shelling also killed another person in the Kramatorsk district of Ukraine's Donetsk region, the service said.


Google employee made redundant after reporting sexual harassment, court hears

BBC News

A senior Google employee has claimed she was made redundant after reporting a manager who told clients stories about his swinger lifestyle and showed a nude of his wife. Victoria Woodall told an employment tribunal she was subjected to a campaign of retaliation by the company after whistleblowing on the man who was later sacked. Google UK's internal investigation found the manager had touched two female colleagues without their consent, and his behaviour amounted to sexual harassment, documents seen by the BBC in court show. The tech giant denies retaliating against Woodall and argues she became paranoid after whistleblowing and began to view normal business activities as sinister. In her claim, Woodall says her own boss subjected her to a relentless campaign of retaliation after her complaint also implicated his close friends who were later disciplined for witnessing the manager's behaviour and failing to challenge it.