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Discovering hidden physical laws and identifying governing system parameters from sparse observations are central challenges in computational science and engineering. Existing data-driven methods, such as physics-informed neural networks…

Machine Learning · Computer Science 2026-04-16 Dibakar Roy Sarkar , Vijay Kag , Birupaksha Pal , Somdatta Goswami

Recent advancements in sensing and communication facilitate obtaining high-frequency real-time data from various physical systems like power networks, climate systems, biological networks, etc. However, since the data are recorded by…

Dynamical Systems · Mathematics 2023-12-27 S. Sinha , Sai P. Nandanoori , David Barajas-Solano

Understanding how road users resolve space-sharing conflicts is important both for traffic safety and the safe deployment of autonomous vehicles. While existing models have captured specific aspects of such interactions (e.g., explicit…

Artificial Intelligence · Computer Science 2026-05-12 Julian F. Schumann , Johan Engström , Ran Wei , Shu-Yuan Liu , Jens Kober , Arkady Zgonnikov

Noise is usually regarded as adversarial to extract the effective dynamics from time series, such that the conventional data-driven approaches usually aim at learning the dynamics by mitigating the noisy effect. However, noise can have a…

Adaptation and Self-Organizing Systems · Physics 2023-09-12 Zequn Lin , Zhaofan Lu , Zengru Di , Ying Tang

Active statistical inference is a new method for inference with AI-assisted data collection. Given a budget on the number of labeled data points that can be collected and assuming access to an AI predictive model, the basic idea is to…

Machine Learning · Statistics 2025-11-13 Puheng Li , Tijana Zrnic , Emmanuel Candès

Latent state space models are a fundamental and widely used tool for modeling dynamical systems. However, they are difficult to learn from data and learned models often lack performance guarantees on inference tasks such as filtering and…

Machine Learning · Computer Science 2016-05-31 Wen Sun , Arun Venkatraman , Byron Boots , J. Andrew Bagnell

Active inference has emerged as an alternative approach to control problems given its intuitive (probabilistic) formalism. However, despite its theoretical utility, computational implementations have largely been restricted to…

Machine Learning · Computer Science 2022-03-01 Aswin Paul , Noor Sajid , Manoj Gopalkrishnan , Adeel Razi

Recently developed reduced-order modeling techniques aim to approximate nonlinear dynamical systems on low-dimensional manifolds learned from data. This is an effective approach for modeling dynamics in a post-transient regime where the…

Dynamical Systems · Mathematics 2023-09-27 Samuel E. Otto , Gregory R. Macchio , Clarence W. Rowley

On the basis of input-output time-domain data collected from a complex simulator, this paper proposes a constructive methodology to infer a reduced-order linear, bilinear or quadratic time invariant dynamical model reproducing the…

Dynamical Systems · Mathematics 2020-12-15 Charles Poussot-Vassal , Tiphaine Sabatier , Claire Sarrat , Pierre Vuillemin

In this paper we introduce a general estimation methodology for learning a model of human perception and control in a sensorimotor control task based upon a finite set of demonstrations. The model's structure consists of i the agent's…

Machine Learning · Computer Science 2025-05-02 Ran Wei , Anthony D. McDonald , Alfredo Garcia , Gustav Markkula , Johan Engstrom , Matthew O'Kelly

Time domain simulation, i.e., modeling the system's evolution over time, is a crucial tool for studying and enhancing power system stability and dynamic performance. However, these simulations become computationally intractable for…

Machine Learning · Computer Science 2025-10-14 Matthew Schlegel , Matthew E. Taylor , Mostafa Farrokhabadi

Collision avoidance -- involving a rapid threat detection and quick execution of the appropriate evasive maneuver -- is a critical aspect of driving. However, existing models of human collision avoidance behavior are fragmented, focusing on…

A new algorithm is presented for reconstructing stochastic nonlinear dynamical models from noisy time-series data. The approach is analytical; consequently, the resulting algorithm does not require an extensive global search for the model…

Other Condensed Matter · Physics 2009-11-10 V. N. Smelyanskiy , D. G. Luchinsky , D. A. Timucin , A. Bandrivskyy

As our ability to sense increases, we are experiencing a transition from data-poor problems, in which the central issue is a lack of relevant data, to data-rich problems, in which the central issue is to identify a few relevant features in…

Machine Learning · Computer Science 2023-02-08 Robert E. Colgan , Jingkai Yan , Zsuzsa Márka , Imre Bartos , Szabolcs Márka , John N. Wright

This work presents an approach for control, state-estimation and learning model (hyper)parameters for robotic manipulators. It is based on the active inference framework, prominent in computational neuroscience as a theory of the brain,…

Robotics · Computer Science 2021-03-31 Mohamed Baioumy , Paul Duckworth , Bruno Lacerda , Nick Hawes

The influence of noise on quantum dynamics is one of the main factors preventing current quantum processors from performing accurate quantum computations. Sufficient noise characterization and modeling can provide key insights into the…

Quantum Physics · Physics 2024-12-23 Yasuo Oda , Kevin Schultz , Leigh Norris , Omar Shehab , Gregory Quiroz

Operator learning offers a robust framework for approximating mappings between infinite-dimensional function spaces. It has also become a powerful tool for solving inverse problems in the computational sciences. This chapter surveys…

Numerical Analysis · Mathematics 2025-12-08 Nicholas H. Nelsen , Yunan Yang

This work introduces a method for learning low-dimensional models from data of high-dimensional black-box dynamical systems. The novelty is that the learned models are exactly the reduced models that are traditionally constructed with model…

Numerical Analysis · Mathematics 2019-08-30 Benjamin Peherstorfer

This work presents a novel fault-tolerant control scheme based on active inference. Specifically, a new formulation of active inference which, unlike previous solutions, provides unbiased state estimation and simplifies the definition of…

Robotics · Computer Science 2021-04-06 Mohamed Baioumy , Corrado Pezzato , Riccardo Ferrari , Carlos Hernandez Corbato , Nick Hawes

Active learning shows promise to decrease test bench time for model-based drivability calibration. This paper presents a new strategy for active output selection, which suits the needs of calibration tasks. The strategy is actively learning…

Machine Learning · Computer Science 2021-02-24 Adrian Prochaska , Julien Pillas , Bernard Bäker