Author

Yu-Nan Yang

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Preprint Sep 2026

Reduced order model for parametric Boltzmann equation and its application to inverse problems

The Boltzmann equation plays an important role in modeling mesoscopic behavior in a wide range of scientific and engineering applications. However, its numerical solution is computationally expensive due to the high dimensionality of the model and the nonlinear nonlocal collision operator, especially for steady-state p...

Shanyin Tong, Jing-Wei Hu, Feng-Yan Li et al. · 0 citations

#machine learning Preprint Sep 2026

Stochastic Gradient Descent over P2

Stochastic gradient descent (SGD) admits diffusion approximations that replace the complicated randomness of stochastic gradients by Gaussian noise, providing a powerful tool for understanding its dynamics and long-time behavior. We investigate whether an analogous approximation principle holds for optimization over pr...

Maria Oprea, Qin Li, Yu-Nan Yang · 0 citations