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This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

Anomaly detection in multivariate time series is a central challenge in industrial monitoring, as failures frequently arise from complex temporal dynamics and cross-sensor interactions. While recent deep learning models, including graph…

Machine Learning · Computer Science 2026-04-21 Pooyan Khosravinia , João Gama , Bruno Veloso

Inter-domain Gaussian processes (GPs) allow for high flexibility and low computational cost when performing approximate inference in GP models. They are particularly suitable for modeling data exhibiting global structure but are limited to…

Machine Learning · Statistics 2020-11-03 Tim G. J. Rudner , Dino Sejdinovic , Yarin Gal

Gaussian processes (GPs) are powerful non-parametric function estimators. However, their applications are largely limited by the expensive computational cost of the inference procedures. Existing stochastic or distributed synchronous…

Machine Learning · Statistics 2017-06-14 Hao Peng , Shandian Zhe , Yuan Qi

Fitting Gaussian Processes (GPs) provides interpretable aleatoric uncertainty quantification for estimation of spatio-temporal fields. Spatio-temporal deep learning models, while scalable, typically assume a simplistic independent…

Machine Learning · Statistics 2025-10-27 Brandon R. Feng , David Keetae Park , Xihaier Luo , Arantxa Urdangarin , Shinjae Yoo , Brian J. Reich

We develop a general methodological framework for probabilistic inference in discrete- and continuous-time stochastic processes evolving on directed acyclic graphs (DAGs). The process is observed only at the leaf nodes, and the challenge is…

Methodology · Statistics 2025-05-27 Frank van der Meulen , Moritz Schauer , Stefan Sommer

We study causal discovery from observational data in linear Gaussian systems affected by \emph{mixed latent confounding}, where some unobserved factors act broadly across many variables while others influence only small subsets. This…

Machine Learning · Computer Science 2026-01-01 Amir Asiaee , Samhita Pal , James O'quinn , James P. Long

A network of independently trained Gaussian processes (StackedGP) is introduced to obtain predictions of quantities of interest with quantified uncertainties. The main applications of the StackedGP framework are to integrate different…

Machine Learning · Computer Science 2017-06-20 Kareem Abdelfatah , Junshu Bao , Gabriel Terejanu

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

Machine Learning · Statistics 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

Temporal knowledge graph reasoning (TKGR) aims to predict future events by inferring missing entities with dynamic knowledge structures. Existing LLM-based reasoning methods prioritize contextual over structural relations, struggling to…

Machine Learning · Computer Science 2026-01-30 Shiqi Fan , Quanming Yao , Hongyi Nie , Wentao Ma , Zhen Wang , Wen Hua

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

Modeling sequential data has become more and more important in practice. Some applications are autonomous driving, virtual sensors and weather forecasting. To model such systems so called recurrent models are used. In this article we…

Machine Learning · Statistics 2017-11-21 Roman Föll , Bernard Haasdonk , Markus Hanselmann , Holger Ulmer

Modern scientific problems are often multi-disciplinary and require integration of computer models from different disciplines, each with distinct functional complexities, programming environments, and computation times. Linked Gaussian…

Machine Learning · Statistics 2023-06-05 Deyu Ming , Daniel Williamson

In this paper, we present XST-GCNN (eXplainable Spatio-Temporal Graph Convolutional Neural Network), a novel architecture for processing heterogeneous and irregular Multivariate Time Series (MTS) data. Our approach captures temporal and…

Machine Learning · Computer Science 2024-11-05 Óscar Escudero-Arnanz , Cristina Soguero-Ruiz , Antonio G. Marques

Discovering temporal lagged and inter-dependencies in multivariate time series data is an important task. However, in many real-world applications, such as commercial cloud management, manufacturing predictive maintenance, and portfolios…

Machine Learning · Computer Science 2018-12-12 Xuan-Hong Dang , Syed Yousaf Shah , Petros Zerfos

Skill ecosystems for LLM agents have matured rapidly, yet recent benchmarks show that providing agents with more skills does not monotonically improve performance -- focused sets of 2-3 skills outperform comprehensive documentation, and…

Computation and Language · Computer Science 2026-04-21 Tianle Xia , Lingxiang Hu , Yiding Sun , Ming Xu , Lan Xu , Siying Wang , Wei Xu , Jie Jiang

Accurate and timely traffic flow forecasting is crucial for intelligent transportation systems. This paper presents a novel deep learning model, the Spatial-Temporal Unified Graph Attention Network (STGAtt). By leveraging a unified graph…

Machine Learning · Computer Science 2025-08-26 Zhuding Liang , Jianxun Cui , Qingshuang Zeng , Feng Liu , Nenad Filipovic , Tijana Geroski

In this work, a Gaussian process regression(GPR) model incorporated with given physical information in partial differential equations(PDEs) is developed: physics-assisted Gaussian processes(PAGP). The targets of this model can be divided…

Machine Learning · Statistics 2022-04-07 Jiahao Zhang , Shiqi Zhang , Guang Lin

Accurate multivariate time series forecasting hinges on inter-series correlations, which often evolve in complex ways across different temporal scales. Existing methods are limited in modeling these multi-scale dependencies and struggle to…

Machine Learning · Computer Science 2026-01-27 Shaoxun Wang , Xingjun Zhang , Qianyang Li , Jiawei Cao , Zhendong Tan

In many areas of science and engineering, computer simulations are widely used as proxies for physical experiments, which can be infeasible or unethical. Such simulations can often be computationally expensive, and an emulator can be…

Machine Learning · Statistics 2023-02-03 Tao Tang , Simon Mak , David Dunson
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