Model-Based Simulation for Approximated Dynamic System Using Reinforcement Learning
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T. G. Ritto, S. Beregi, and D. A. W. Barton, “Reinforcement learning and approximate Bayesian computation for model selection and parameter calibration applied to a nonlinear dynamical system,” Mech Syst Signal Process, vol. 181, p. 109485, Dec. 2022, doi: 10.1016/J.YMSSP.2022.109485.
S. Bushaj, X. Yin, A. Beqiri, D. Andrews, and I. E. Büyüktahtakın, “A simulation-deep reinforcement learning (SiRL) approach for epidemic control optimization,” Annals of Operations Research 2022 328:1, vol. 328, no. 1, pp. 245–277, Sep. 2022, doi: 10.1007/S10479-022-04926-7.
M. Farsi, “Model-based Reinforcement Learning of Nonlinear Dynamical Systems,” Jan. 25, 2022, University of Waterloo. Accessed: Dec. 19, 2025. [Online]. Available: http://hdl.handle.net/10012/17974
Y. Hu, J. Fu, and G. Wen, “Safe Reinforcement Learning for Model-Reference Trajectory Tracking of Uncertain Autonomous Vehicles With Model-Based Acceleration,” IEEE Transactions on Intelligent Vehicles, vol. 8, no. 3, pp. 2332–2344, Mar. 2023, doi: 10.1109/TIV.2022.3233592.
K.-C. Hsu, V. Rubies-Royo, C. J. Tomlin, and J. F. Fisac, “Safety and Liveness Guarantees through Reach-Avoid Reinforcement Learning,” Robotics: Science and Systems, Dec. 2021, doi: 10.15607/RSS.2021.XVII.077.
M. L. Greene, Z. I. Bell, S. Nivison, and W. E. Dixon, “Deep Neural Network-Based Approximate Optimal Tracking for Unknown Nonlinear Systems,” IEEE Trans Automat Contr, vol. 68, no. 5, 2023, doi: 10.1109/TAC.2023.3246761.
E. Nica, M. Poliak, G. H. Popescu, and I. A. Pârvu, “Decision Intelligence and Modeling, Multisensory Customer Experiences, and Socially Interconnected Virtual Services across the Metaverse Ecosystem,” Linguistic and Philosophical Investigations, vol. 21, pp. 137–153, 2022, doi: 10.22381/LPI2120229.
M. Yang, P. Wang, M. Fan, D. Lu, Y. Cao, and G. Zhang, “CONDITIONAL PSEUDO-REVERSIBLE NORMALIZING FLOW FOR SURROGATE MODELING IN QUANTIFYING UNCERTAINTY PROPAGATION,” Journal of Machine Learning for Modeling and Computing, vol. 6, no. 4, pp. 1–28, 2025, doi: 10.1615/JMACHLEARNMODELCOMPUT.2025060260.
J. D. Toscano et al., “From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning,” Machine Learning for Computational Science and Engineering, vol. 1, no. 1, Oct. 2024, doi: 10.1007/s44379-025-00015-1.
Z. An et al., “A Simulator-based Planning Framework for Optimizing Autonomous Greenhouse Control Strategy,” Proceedings International Conference on Automated Planning and Scheduling, ICAPS, vol. 2021-August, pp. 436–444, 2021, doi: 10.1609/ICAPS.V31I1.15989.
F. Djeumou et al., “Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modeling,” Proc Mach Learn Res, vol. 168, pp. 263–277, Sep. 2021, Accessed: Dec. 19, 2025. [Online]. Available: https://arxiv.org/pdf/2109.06407
“(PDF) SafEDMD: A certified learning architecture tailored to data-driven control of nonlinear dynamical systems.” Accessed: Dec. 19, 2025. [Online]. Available: https://www.researchgate.net/publication/378463069_SafEDMD_A_certified_learning_architecture_tailored_to_data-driven_control_of_nonlinear_dynamical_systems
L. Sun, D. Z. Huang, H. Sun, and J.-X. Wang, “Bayesian Spline Learning for Equation Discovery of Nonlinear Dynamics with Quantified Uncertainty,” Oct. 31, 2022. Accessed: Dec. 19, 2025. [Online]. Available: https://github.com/luningsun/SplineLearningEquation
M. A. Rojas-Sánchez, P. R. Palos-Sánchez, and J. A. Folgado-Fernández, “Systematic literature review and bibliometric analysis on virtual reality and education,” Educ Inf Technol (Dordr), vol. 28, no. 1, pp. 155–192, Jan. 2023, doi: 10.1007/S10639-022-11167-5.
X. Wang et al., “Physics-based fluid simulation in computer graphics: Survey, research trends, and challenges,” Computational Visual Media 2024 10:5, vol. 10, no. 5, pp. 803–858, Apr. 2024, doi: 10.1007/S41095-023-0368-Y.
N. S. Selby and H. H. Asada, “Learning of Causal Observable Functions for Koopman-DFL Lifting Linearization of Nonlinear Controlled Systems and Its Application to Excavation Automation,” ArXiv, 2021, Accessed: Dec. 19, 2025. [Online]. Available: https://dspace.mit.edu/handle/1721.1/138456.2
A. Arzani, J. X. Wang, M. S. Sacks, and S. C. Shadden, “Machine Learning for Cardiovascular Biomechanics Modeling: Challenges and Beyond,” Ann Biomed Eng, vol. 50, no. 6, pp. 615–627, Jun. 2022, doi: 10.1007/S10439-022-02967-4.
H. Ghaednia et al., “Augmented and virtual reality in spine surgery, current applications and future potentials,” Spine J, vol. 21, no. 10, pp. 1617–1625, Oct. 2021, doi: 10.1016/J.SPINEE.2021.03.018.
J. Tan, S. Xue, H. Li, Z. Guo, H. Cao, and D. Li, “Prescribed Performance Robust Approximate Optimal Tracking Control via Stackelberg Game,” IEEE Transactions on Automation Science and Engineering, vol. 22, pp. 12871–12883, 2025, doi: 10.1109/TASE.2025.3549114.
Q. Wu, M. Li, J. Shen, L. Lü, B. Du, and K. Zhang, “TransformerLight: A Novel Sequence Modeling Based Traffic Signaling Mechanism via Gated Transformer,” Proceedings of the ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 2639–2647, Aug. 2023, doi: 10.1145/3580305.3599530;GROUPTOPIC:TOPIC:ACM-PUBTYPE.
Z. Zhang, F. Wen, Z. Sun, X. Guo, T. He, and C. Lee, “Artificial Intelligence-Enabled Sensing Technologies in the 5G/Internet of Things Era: From Virtual Reality/Augmented Reality to the Digital Twin,” Advanced Intelligent Systems, vol. 4, no. 7, p. 2100228, Jul. 2022, doi: 10.1002/AISY.202100228.
M. Ganai, S. Gao, and S. Herbert, “Hamilton-Jacobi Reachability in Reinforcement Learning: A Survey,” Jul. 2024, Accessed: Dec. 19, 2025. [Online]. Available: https://arxiv.org/pdf/2407.09645
S. Bishnoi, R. Bhattoo, Jayadeva, S. Ranu, and N. M. A. Krishnan, “Enhancing the Inductive Biases of Graph Neural ODE for Modeling Dynamical Systems,” 11th International Conference on Learning Representations, ICLR 2023, Sep. 2022, Accessed: Dec. 19, 2025. [Online]. Available: https://arxiv.org/pdf/2209.10740
“Dynamical System Multivariate Time Series.” Accessed: Dec. 19, 2025. [Online]. Available: https://www.kaggle.com/datasets/patrickfleith/dynamical-system-multivariate-time-series-forecast
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