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Modeling the dynamics of real-world physical systems is critical for spatiotemporal prediction tasks, but challenging when data is limited. The scarcity of real-world data and the difficulty in reproducing the data distribution hinder…

Machine Learning · Computer Science 2021-06-09 Sungyong Seo , Chuizheng Meng , Sirisha Rambhatla , Yan Liu

Video-based representations have gained prominence in planning and decision-making due to their ability to encode rich spatiotemporal dynamics and geometric relationships. These representations enable flexible and generalizable solutions…

Robotics · Computer Science 2026-02-11 Po-Chen Ko , Jiayuan Mao , Yu-Hsiang Fu , Hsien-Jeng Yeh , Chu-Rong Chen , Wei-Chiu Ma , Yilun Du , Shao-Hua Sun

State-space models effectively model multivariate time series by updating over time a representation of the system state from which predictions are made. The state representation is usually a vector without any explicit structure.…

Machine Learning · Computer Science 2026-04-07 Daniele Zambon , Andrea Cini , Cesare Alippi

Trajectory prediction (TP) is crucial for ensuring safety and efficiency in modern air traffic management systems. It is, for example, a core component of conflict detection and resolution tools, arrival sequencing algorithms, capacity…

Computational Engineering, Finance, and Science · Computer Science 2026-01-21 Nick Pepper , Marc Thomas , Zack Xuereb Conti

Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surrogate modelling in combination with self-supervised…

Machine Learning · Computer Science 2023-01-02 Maternus Herold , Anna Veselovska , Jonas Jehle , Felix Krahmer

Agent-based modeling (ABM) is a powerful computational approach for studying complex biological and biomedical systems, yet its widespread use remains limited by significant computational demands. As models become increasingly…

Quantitative Methods · Quantitative Biology 2025-04-17 Kerri-Ann Norton , Daniel Bergman , Harsh Vardhan Jain , Trachette Jackson

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

Only a subset of degrees of freedom are typically accessible or measurable in real-world systems. As a consequence, the proper setting for empirical modeling is that of partially-observed systems. Notably, data-driven models consistently…

Statistical Mechanics · Physics 2023-04-18 Adam Rupe , Velimir V. Vesselinov , James P. Crutchfield

A state-space model is a statistical framework for inferring latent states from observed time-series data. However, inference with nonlinear and high-dimensional state-space models remains challenging. To this end, an approach based on…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Yuma Yamaoka , Seiichi Uchida , Shoji Toyota

Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these…

Methodology · Statistics 2023-05-04 Moses Y-H. Chan , Matthew Plumlee , Stefan M. Wild

This paper addresses the data-driven identification of latent dynamical representations of partially-observed systems, i.e., dynamical systems for which some components are never observed, with an emphasis on forecasting applications,…

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

We present a framework for inferring an atmospheric transmission profile from a spectral scene. This framework leverages a lightweight, physics-based simulator that is automatically tuned - by virtue of autodifferentiation and…

Machine Learning · Computer Science 2024-05-01 James Koch , Brenda Forland , Bruce Bernacki , Timothy Doster , Tegan Emerson

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Measurement involves the determination of quantitative estimates of physical quantities from experiment, along with estimates of their associated uncertainties. Herewith an experimental system model is the key to extracting information from…

Applications · Statistics 2008-09-01 Vladimir B. Bokov

Surrogate modeling is of great practical significance for parametric differential equation systems. In contrast to classical numerical methods, using physics-informed deep learning methods to construct simulators for such systems is a…

Numerical Analysis · Mathematics 2025-01-03 Xili Wang , Kejun Tang , Jiayu Zhai , Xiaoliang Wan , Chao Yang

Accurate overland runoff and infiltration predictions are critical for effective water resources management, in particular for urban flood management. However, the inherent uncertainty in rainfall patterns, soil properties, and initial…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Mohamad H. Kazma , Ahmad F. Taha

In spatially extended systems, it is common to find latent variables that are hard, or even impossible, to measure with acceptable precision, but are crucially important for the proper description of the dynamics. This substantially…

Numerical Analysis · Computer Science 2019-08-28 Patrick A. K. Reinbold , Roman O. Grigoriev

Mouse-tracking recording techniques are becoming very attractive in experimental psychology. They provide an effective means of enhancing the measurement of some real-time cognitive processes involved in categorization, decision-making, and…

Applications · Statistics 2019-12-18 Antonio Calcagnì , Luigi Lombardi , Marco D'Alessandro

Bayesian inverse modeling is important for a better understanding of hydrological processes. However, this approach can be computationally demanding, as it usually requires a large number of model evaluations. To address this issue, one can…

Computation · Statistics 2020-02-24 Jiangjiang Zhang , Qiang Zheng , Dingjiang Chen , Laosheng Wu , Lingzao Zeng