Physics-informed machine learning for modeling and control of dynamical systems

TX Nghiem, J Drgoňa, C Jones, Z Nagy… - 2023 American …, 2023 - ieeexplore.ieee.org
Physics-informed machine learning (PIML) is a set of methods and tools that systematically
integrate machine learning (ML) algorithms with physical constraints and abstract …

Statistical inference and neural network training based on stochastic difference model for air pollution and associated disease transmission

S He, M He, S Tang - Journal of Theoretical Biology, 2025 - Elsevier
A polluted air environment can potentially provoke infections of diverse respiratory diseases.
The development of mathematical models can study the mechanism of air pollution and its …

Deep-learning reconstruction of complex dynamical networks from incomplete data

X Ding, LW Kong, HF Zhang, YC Lai - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
Reconstructing complex networks and predicting the dynamics are particularly challenging
in real-world applications because the available information and data are incomplete. We …

Universal Differential Equations as a Common Modeling Language for Neuroscience

A ElGazzar, M van Gerven - arXiv preprint arXiv:2403.14510, 2024 - arxiv.org
The unprecedented availability of large-scale datasets in neuroscience has spurred the
exploration of artificial deep neural networks (DNNs) both as empirical tools and as models …

Swarming network inference with importance clustering of relative interactions

J Hindes, K Daley, G Stantchev… - Journal of Physics …, 2024 - iopscience.iop.org
Swarming is central to many problems in physics, biology, and engineering where collective
motion and cooperation emerge through interactions of many agents. As a result, inferring …

Observing network dynamics through sentinel nodes

NG MacLaren, B Barzel, N Masuda - arXiv preprint arXiv:2408.00045, 2024 - arxiv.org
A fundamental premise of statistical physics is that the particles in a physical system are
interchangeable, and hence the state of each specific component is representative of the …

Data-informed modeling of the formation, persistence, and evolution of social norms and conventions

M Ye, L Zino - arXiv preprint arXiv:2410.06663, 2024 - arxiv.org
Social norms and conventions are commonly accepted and adopted behaviors and
practices within a social group that guide interactions--eg, how to spell a word or how to …

Neural Differential Algebraic Equations

J Koch, M Shapiro, H Sharma, D Vrabie… - arXiv preprint arXiv …, 2024 - arxiv.org
Differential-Algebraic Equations (DAEs) describe the temporal evolution of systems that
obey both differential and algebraic constraints. Of particular interest are systems that …

Data-Driven Characterization of Latent Dynamics on Quantum Testbeds

S Reddy, S Guenther, Y Cho - arXiv preprint arXiv:2401.09822, 2024 - arxiv.org
This paper presents a data-driven approach to learn latent dynamics in superconducting
quantum computing hardware. To this end, we augment the dynamical equation of quantum …