随机扰动下偏微分方程最优控制问题的算子学习方法, 国自然青年科学基金项目, 主持

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2. 1. QiSun, XuejunXu, and HaotianYi, Dirichlet-Neumann learning algorithm for solving elliptic interface problems, Communication in Computational Physics, 2024, accepted.
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4. 2. Qi Sun, Xuejun Xu, and Haotian Yi, Domain decomposition learning methods for solving elliptic problems, SIAM Journal on Scientific Computing, 2024, 46(4), A2445-A2474.
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6. 3. Qi Sun, Bin Dong, et.al., Layer-Parallel training of residual networks with auxiliary variable networks, Numerical Methods for Partial Differential Equations, 2024, e23147.
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8. 4. Qi Sun, YunzheTao, and Qiang Du, Stochastic training of residual networks in deep learning, Mathematica Numerica Sinica, 2020, 42(3) : 349-369.
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10. 5. Qi Sun and Qiang Du, A distributed optimal control problem with averaged stochastic gradient descent, Communication in Computational Physics, 2020, 27(3), 753-774.
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12. 6. Hong Liang, Qi Sun and Qiang Du, Data-driven compressive sensing and applications in uncertainty quantification, Journal of Computational Physics, 2018, 374, 787-802.
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14. 7. YunzheTao, Qi Sun, Wei Liu and Qiang Du, Nonlocal neural networks, nonlocal diffusion and nonlocal modeling, Advancesin Neural Information Processing Systems 31 (494-504), 2018.
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16. 8. Qi Sun, Qiang Du and Ju Ming, Asymptotically compatible schemes for stochastic homogenization, SIAM Journal on Numerical Analysis, 2018, 56, 1942-1960.
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2. 9. Qi Sun, et. al., Lift-and-Embed learning methods for solving scalar hyperbolic equations with discontinuous solutions, https://arxiv.org/pdf/2411.05382, 2024