Cluster weighted models with multivariate skewed distributions for functional data Cristina Anton, 1 Roy Shivam Ram Shreshtth 2 1 Department of Mathematics and Statistics, MacEwan University, 103C, 10700-104 Ave., Edmonton, AB T5J 4S2, Canada, email: popescuc@macewan.ca 2 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur Abstract We propose a clustering method, funWeightClustSkew, based on mixtures of functional linear regression models and three skewed multivariate distributions: the variance-gamma distribution, the skew-t distribution, and the normal-inverse Gaussian distribution. Our approach follows the framework of the functional high dimensional data clustering (funHDDC) method, and we extend to functional data the cluster weighted models based on skewed distributions used for finite dimensional multivariate data. We consider several parsimonious models, and to estimate the parameters we construct an expectation maximization (EM) algorithm. We illustrate the performance of funWeightClustSkew for simulated data and for the Air Quality dataset. Keywords: Cluster weighted models, Functional linear regression, EM algorithm, Skewed distributions, Multivariate functional principal component analysis 1 Introduction Smart devices and other modern technologies record huge amounts of data measured continuously in time. These data are better represented as curves instead of finite-dimensional vectors, and they are analyzed using statistical methods specific to functional data (Ramsay and Silverman, 2006; Ferraty and Vieu, 2006; Horv ath and Kokoszka, 2012). Many times more than one curve is collected for one individual, e.g.

We introduce ALT, an open-source Python package created for efficient and accurate time series classification (TSC). The package implements the adaptive law-based transformation (ALT) algorithm, which transforms raw time series data into a linearly separable feature space using variable-length shifted time windows. This adaptive approach enhances its predecessor, the linear law-based transformation (LLT), by effectively capturing patterns of varying temporal scales. The software is implemented for scalability, interpretability, and ease of use, achieving state-of-the-art performance with minimal computational overhead. Extensive benchmarking on real-world datasets demonstrates the utility of ALT for diverse TSC tasks in physics and related domains.

Chinese artificial intelligence firm DeepSeek is a "profound threat" to U.S. national security, a bipartisan House committee said Wednesday, urging Nvidia to hand over information on sales of chips that the startup may have used to develop its breakthrough chatbot model. The House Select Committee on China alleged in a report Wednesday that DeepSeek's ties to Chinese government interests "are significant," citing corporate filings obtained by the panel. Lawmakers claimed that DeepSeek's founder, Liang Wenfeng, controls the firm alongside the High-Flyer Quant hedge fund in an "integrated ecosystem" linked to state-linked hardware distributors and Chinese research institute Zhejiang Lab. "Although it presents itself as just another AI chatbot, offering users a way to generate text and answer questions, closer inspection reveals that the app siphons data back to the People's Republic of China (PRC), creates security vulnerabilities for its users, and relies on a model that covertly censors and manipulates information pursuant to Chinese law," the report states.

Since ChatGPT's AI image generator launched to free users a couple of weeks ago, people online have been toying around with its possibilities. The latest trend involves people anthropomorphizing their pets. To be clear, we all kind of act like our pets are humans -- my perfect dog, Henry, is a good boy who loves deeply like a real person. But folks are now using ChatGPT's image generator to imagine what their pets would actually look like as people. If you search around other social platforms, you'll find more examples of people who said they used ChatGPT to transform their pets into humans.

With Season 7 of Black Mirror, series superfan Jimmi Simpson returned to reprise the roles of video game billionaire James Walton and his less vicious in-game clone in "USS Callister: Into Infinity." Mashable Entertainment Editor Kristy Puchko sat down with Simpson over Zoom for an interview about what it was like to come back to Black Mirror. And beyond that, what was it like to go full-on Cast Away with a touch of Oldboy? Sure, Clone Walton was thought to be dead after his heroic self-sacrifice at the end of "USS Callister." However, "Into Infinity" reveals that he'd be respawned on an unpopulated planet in the online MMORPG Infinity.

UPDATE: Apr. 16, 2025, 2:18 p.m. EDT Now that the OpenAI livestream has ended, this article has been updated with the latest information about the o3 and o4-mini launch. As expected, during a livestream event today, the ChatGPT maker released the newest versions of its reasoning models. OpenAI launched o1, its first reasoning or chain-of-thought model, last summer and skipped over o2 to announce its progress on o3 in late December. While o3 has not been publicly available until today, OpenAI already has a lightweight version, o3-mini, on the market. In the livestream, the OpenAI team (sans CEO Sam Altman) described some of the models' capabilities and demoed how users can use o3 and o4-mini.

OpenAI has introduced a new image library inside ChatGPT, which gives users quick access to their AI-generated creations in a slick sidebar. The feature, now rolling out across both web and mobile platforms, is available to all users, paid or not. OpenAI even dropped a short demo on X showing just how seamless it is. If you've made images in ChatGPT before, the library should already be visible on the left panel. If not, fire up a prompt, and the feature should appear after reloading the page.

Imagine an AI agent that can not only conduct research on the web but also interact with websites to accomplish specific tasks -- all on its own. On Wednesday, the software giant announced an interactive new skill designed to empower the AI agents that people create using its Copilot Studio product. That skill is computer use. Any agent you build can work with a desktop application or website to carry out specific actions just as you might. Also: What are AI agents?

Transportation Sec. Sean Duffy indicated the Trump administration is committed to "radical transparency." In a video message about the Federal Aviation Administration doing "drone-detection testing" in New Jersey, Transportation Sec. Sean Duffy indicated that the Trump administration is committed to "radical transparency," juxtaposing that approach with what he referred to as the Biden administration's "drone fiasco." The FAA noted in a post on its website last week that the testing is slated to occur "in Cape May, New Jersey, between April 14-25." "The FAA will operate several large drones and more than 100 commercial off-the-shelf drones during the two-week period. Testing will take place over the water and near the Cape May Ferry Terminal during the daytime on weekdays only. The public should not fly recreational drones near this area during the test period," the post stated.

George Orwell once wrote that every generation "imagines itself to be more intelligent than the one that went before it, and wiser than the one that comes after it". Today, the second part of that observation feels more astute than ever, as we face constant concerns about the ways modern technology is supposedly destroying the minds and cognitive abilities of children and young people. For decades, scientists have noted the occurrence of the Flynn effect, which essentially describes how, in terms of performance on various tests, each generation is more intelligent than the previous one.