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Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Vector quantization (VQ) with autoregressive (AR) token modeling is a widely adopted and highly competitive paradigm for time-series generation. However, such models are fundamentally limited by exposure bias: during inference, errors can…

Artificial Intelligence · Computer Science 2026-05-12 Wei Li , Shibo Feng , Pengcheng Wu , Xingyu Gao , Min Wu , Peilin Zhao

Forecasting multivariate time series data, which involves predicting future values of variables over time using historical data, has significant practical applications. Although deep learning-based models have shown promise in this field,…

Machine Learning · Computer Science 2023-06-16 Zahra Fatemi , Minh Huynh , Elena Zheleva , Zamir Syed , Xiaojun Di

Flow-based generative models have demonstrated promising performance across a broad spectrum of data modalities (e.g., image and text). However, there are few works exploring their extension to unordered data (e.g., spatial point set),…

Machine Learning · Computer Science 2025-06-05 Yangming Li , Chaoyu Liu , Carola-Bibiane Schönlieb

Deep Gaussian processes (DGPs), a hierarchical composition of GP models, have successfully boosted the expressive power of their single-layer counterpart. However, it is impossible to perform exact inference in DGPs, which has motivated the…

Machine Learning · Computer Science 2021-05-27 Haibin Yu , Dapeng Liu , Yizhou Chen , Bryan Kian Hsiang Low , Patrick Jaillet

Graphs are expressive abstractions representing more effectively relationships in data and enabling data science tasks. They are also a widely adopted paradigm in causal inference focusing on causal directed acyclic graphs. Causal DAGs…

Databases · Computer Science 2024-12-19 Amedeo Pachera , Mattia Palmiotto , Angela Bonifati , Andrea Mauri

Although generative AI has been successful in many areas, its ability to model geospatial data is still underexplored. Urban flow, a typical kind of geospatial data, is critical for a wide range of urban applications. Existing studies…

Artificial Intelligence · Computer Science 2023-09-20 Zhilun Zhou , Jingtao Ding , Yu Liu , Depeng Jin , Yong Li

We consider a a collection of categorical random variables. Of special interest is the causal effect on an outcome variable following an intervention on another variable. Conditionally on a Directed Acyclic Graph (DAG), we assume that the…

Methodology · Statistics 2023-06-29 Federico Castelletti , Guido Consonni , Marco Luigi Della Vedova

Partial observations of continuous time-series dynamics at arbitrary time stamps exist in many disciplines. Fitting this type of data using statistical models with continuous dynamics is not only promising at an intuitive level but also has…

Machine Learning · Computer Science 2021-10-29 Ruizhi Deng , Marcus A. Brubaker , Greg Mori , Andreas M. Lehrmann

Given an extensive, semi-infinite collection of multivariate coevolving data sequences (e.g., sensor/web activity streams) whose observations influence each other, how can we discover the time-changing cause-and-effect relationships in…

Machine Learning · Computer Science 2026-02-19 Naoki Chihara , Yasuko Matsubara , Ren Fujiwara , Yasushi Sakurai

Irregularly sampled multivariate event streams remain a stubbornly difficult modality for generative modeling: tokenization-based approaches break down when inter-event intervals vary by orders of magnitude, and neural temporal point…

Machine Learning · Computer Science 2026-05-15 Mohammad R. Rezaei , Tejas Balaji , Rahul G. Krishnan

Traffic flow prediction (TFP) is a fundamental problem of the Intelligent Transportation System (ITS), as it models the latent spatial-temporal dependency of traffic flow for potential congestion prediction. Recent graph-based models with…

Machine Learning · Computer Science 2023-08-02 Ying Yang , Kai Du , Xingyuan Dai , Jianwu Fang

Inverse generation problems, such as denoising without ground truth observations, is a critical challenge in many scientific inquiries and real-world applications. While recent advances in generative models like diffusion models,…

Machine Learning · Computer Science 2025-02-18 Yuchen Zhang , Jian Zhou

Neural network representations of simple models, such as linear regression, are being studied increasingly to better understand the underlying principles of deep learning algorithms. However, neural representations of distributional…

Discovering causal structures from data is a challenging inference problem of fundamental importance in all areas of science. The appealing properties of neural networks have recently led to a surge of interest in differentiable neural…

The number of artificial intelligence algorithms for learning causal models from data is growing rapidly. Most ``causal discovery'' or ``causal structure learning'' algorithms are primarily validated through simulation studies. However, no…

Methodology · Statistics 2024-05-24 Bryan Andrews , Erich Kummerfeld

Causal learning is a fundamental problem in statistics and science, offering insights into predicting the effects of unseen treatments on a system. Despite recent advances in this topic, most existing causal discovery algorithms operate…

Machine Learning · Statistics 2024-02-27 Muralikrishnna G. Sethuraman , Faramarz Fekri

Renewable energy power is influenced by the atmospheric system, which exhibits nonlinear and time-varying features. To address this, a dynamic temporal correlation modeling framework is proposed for renewable energy scenario generation. A…

Machine Learning · Computer Science 2025-01-27 Xiaochong Dong , Yilin Liu , Xuemin Zhang , Shengwei Mei

Counterfactual explanations play a pivotal role in explainable artificial intelligence (XAI) by offering intuitive, human-understandable alternatives that elucidate machine learning model decisions. Despite their significance, existing…

Machine Learning · Computer Science 2025-11-06 Oleksii Furman , Ulvi Movsum-zada , Patryk Marszalek , Maciej Zięba , Marek Śmieja

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…