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State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

We adopt Gaussian Processes (GPs) as latent functions for probabilistic forecasting of intermittent time series. The model is trained in a Bayesian framework that accounts for the uncertainty about the latent function. We couple the latent…

Machine Learning · Statistics 2026-01-28 Stefano Damato , Dario Azzimonti , Giorgio Corani

While deep generative models~(DGMs) have demonstrated remarkable success in capturing complex data distributions, they consistently fail to learn constraints that encode domain knowledge and thus require constraint integration. Existing…

Machine Learning · Computer Science 2025-02-13 Ruoyan Li , Dipti Ranjan Sahu , Guy Van den Broeck , Zhe Zeng

Sequential modelling of high-dimensional data is an important problem that appears in many domains including model-based reinforcement learning and dynamics identification for control. Latent variable models applied to sequential data…

Machine Learning · Computer Science 2023-01-23 Oliver Limoyo , Trevor Ablett , Jonathan Kelly

Large Language Models (LLMs) and Foundation Models (FMs) have recently become prevalent for time series forecasting tasks. While fine-tuning LLMs enables domain adaptation, they often struggle to generalize across diverse and unseen…

We introduce Latent Gaussian Process Regression which is a latent variable extension allowing modelling of non-stationary multi-modal processes using GPs. The approach is built on extending the input space of a regression problem with a…

Machine Learning · Statistics 2017-09-19 Erik Bodin , Neill D. F. Campbell , Carl Henrik Ek

Causality in time series can be challenging to determine, especially in the presence of non-linear dependencies. Granger causality helps analyze potential relationships between variables, thereby offering a method to determine whether one…

Machine Learning · Computer Science 2025-10-13 Harsh Poonia , Felix Divo , Kristian Kersting , Devendra Singh Dhami

With the remarkable success of generative models like ChatGPT, Artificial Intelligence Generated Content (AIGC) is undergoing explosive development. Not limited to text and images, generative models can generate industrial time series data,…

Machine Learning · Computer Science 2025-02-18 Lei Ren , Haiteng Wang , Jinwang Li , Yang Tang , Chunhua Yang

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for…

Machine Learning · Statistics 2018-05-23 Steven Atkinson , Nicholas Zabaras

Time series data is fundamental to decision-making across many domains including healthcare, finance, power systems, and logistics. However, analyzing this data correctly often requires incorporating unstructured contextual information,…

Machine Learning · Computer Science 2026-03-17 Felix Parker , Nimeesha Chan , Chi Zhang , Kimia Ghobadi

Advection-dominated dynamical systems, characterized by partial differential equations, are found in applications ranging from weather forecasting to engineering design where accuracy and robustness are crucial. There has been significant…

Computational Physics · Physics 2020-06-29 Romit Maulik , Bethany Lusch , Prasanna Balaprakash

Forecasting future events is a fundamental challenge for temporal knowledge graphs (tKG). As in real life predicting a mean function is most of the time not sufficient, but the question remains how confident can we be about our prediction?…

Machine Learning · Computer Science 2023-01-13 Soeren Nolting , Zhen Han , Volker Tresp

Natural language generation (NLG) is a critical component of spoken dialogue and it has a significant impact both on usability and perceived quality. Most NLG systems in common use employ rules and heuristics and tend to generate rigid and…

Computation and Language · Computer Science 2015-08-27 Tsung-Hsien Wen , Milica Gasic , Nikola Mrksic , Pei-Hao Su , David Vandyke , Steve Young

Time series synthesis is an effective approach to ensuring the secure circulation of time series data. Existing time series synthesis methods typically perform temporal modeling based on random sequences to generate target sequences, which…

Machine Learning · Computer Science 2025-09-01 Xuan Hou , Shuhan Liu , Zhaohui Peng , Yaohui Chu , Yue Zhang , Yining Wang

The field of lung nodule detection and cancer prediction has been rapidly developing with the support of large public data archives. Previous studies have largely focused on cross-sectional (single) CT data. Herein, we consider longitudinal…

Data augmentation is gaining importance across various aspects of time series analysis, from forecasting to classification and anomaly detection tasks. We introduce the Latent Generative Transformer Augmentation (L-GTA) model, a generative…

Machine Learning · Computer Science 2025-08-01 Luis Roque , Carlos Soares , Vitor Cerqueira , Luis Torgo

This research examines the use of Large Language Models (LLMs) in predicting time series, with a specific focus on the LLMTIME model. Despite the established effectiveness of LLMs in tasks such as text generation, language translation, and…

Machine Learning · Computer Science 2024-08-12 Rui Cao , Qiao Wang

As large language models (LLMs) continue to be deployed and utilized across domains, the volume of LLM-generated data is growing rapidly. This trend highlights the increasing importance of effective and lossless compression for such data in…

Machine Learning · Computer Science 2025-05-13 Yu Mao , Holger Pirk , Chun Jason Xue

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

Stochastic simulation models effectively capture complex system dynamics but are often too slow for real-time decision-making. Traditional metamodeling techniques learn relationships between simulator inputs and a single output summary…

Machine Learning · Computer Science 2026-01-21 L. Jeff Hong , Yanxi Hou , Qingkai Zhang , Xiaowei Zhang