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math.DS2026
Probabilistic function-on-function nonlinear autoregressive model for emulation and reliability analysis of stochastic dynamical systems
Zhouzhou Song, Marcos A. Valdebenito, Styfen Schär +3
Constructing accurate and computationally efficient surrogate models (or emulators) for predicting dynamical system responses is critical in many engineering domains, yet remains c…
math.DS2025
Efficient forward and inverse uncertainty quantification for dynamical systems based on dimension reduction and Kriging surrogate modeling in functional space
Zhouzhou Song, Weiyun Xu, Marcos A. Valdebenito +1
Surrogate models are extensively employed for forward and inverse uncertainty quantification in complex, computation-intensive engineering problems. Nonetheless, constructing high-…