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ORCIDZhiyan Ding
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Journal Articles
- 2024
[j8]Nilin Abrahamsen
, Zhiyan Ding, Gil Goldshlager, Lin Lin:
Convergence of variational Monte Carlo simulation and scale-invariant pre-training. J. Comput. Phys. 513: 113140 (2024)- 2023
- [j7]Zhiyan Ding, Lin Lin:
Simultaneous estimation of multiple eigenvalues with short-depth quantum circuit on early fault-tolerant quantum computers. Quantum 7: 1136 (2023) - [j6]Shi Chen, Zhiyan Ding, Qin Li, Leonardo Zepeda-Núñez:
High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville. SIAM J. Imaging Sci. 16(1): 111-143 (2023) - 2022
- [j5]Zhiyan Ding, Shi Chen, Qin Li, Stephen J. Wright:
Overparameterization of Deep ResNet: Zero Loss and Mean-field Analysis. J. Mach. Learn. Res. 23: 48:1-48:65 (2022) - 2021
- [j4]Zhiyan Ding, Qin Li:
Langevin Monte Carlo: random coordinate descent and variance reduction. J. Mach. Learn. Res. 22: 205:1-205:51 (2021) - [j3]Zhiyan Ding, Qin Li:
Ensemble Kalman inversion: mean-field limit and convergence analysis. Stat. Comput. 31(1): 9 (2021) - [j2]Zhiyan Ding, Qin Li:
Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis. SIAM J. Math. Anal. 53(2): 1546-1578 (2021) - [j1]Zhiyan Ding, Lukas Einkemmer, Qin Li:
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. SIAM J. Numer. Anal. 59(4): 2254-2285 (2021)
Conference and Workshop Papers
- 2021
- [c3]Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright:
Random Coordinate Underdamped Langevin Monte Carlo. AISTATS 2021: 2701-2709 - [c2]Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright:
Random Coordinate Langevin Monte Carlo. COLT 2021: 1683-1710 - 2020
- [c1]Zhiyan Ding, Qin Li:
Variance reduction for Random Coordinate Descent-Langevin Monte Carlo. NeurIPS 2020
Informal and Other Publications
- 2024
- [i19]Shi Chen, Zhiyan Ding, Qin Li:
Bayesian sampling using interacting particles. CoRR abs/2401.13100 (2024) - [i18]Zhiyan Ding, Ethan N. Epperly, Lin Lin, Ruizhe Zhang:
The ESPRIT algorithm under high noise: Optimal error scaling and noisy super-resolution. CoRR abs/2404.03885 (2024) - [i17]Zhiyan Ding, Martin Guerra, Qin Li, Eitan Tadmor:
Swarm-based gradient descent meets simulated annealing. CoRR abs/2404.18015 (2024) - 2023
- [i16]Nilin Abrahamsen, Zhiyan Ding, Gil Goldshlager, Lin Lin:
Convergence of stochastic gradient descent on parameterized sphere with applications to variational Monte Carlo simulation. CoRR abs/2303.11602 (2023) - [i15]Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright:
On optimal bases for multiscale PDEs and Bayesian homogenization. CoRR abs/2305.12303 (2023) - 2022
- [i14]Shi Chen, Zhiyan Ding, Qin Li, Leonardo Zepeda-Núñez:
High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville. CoRR abs/2201.03494 (2022) - 2021
- [i13]Zhiyan Ding, Qin Li:
Constrained Ensemble Langevin Monte Carlo. CoRR abs/2102.04279 (2021) - [i12]Zhiyan Ding, Shi Chen, Qin Li, Stephen J. Wright:
Overparameterization of deep ResNet: zero loss and mean-field analysis. CoRR abs/2105.14417 (2021) - [i11]Zhiyan Ding, Shi Chen, Qin Li, Stephen J. Wright:
On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime. CoRR abs/2110.02926 (2021) - [i10]Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright:
A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks. CoRR abs/2111.02280 (2021) - 2020
- [i9]Zhiyan Ding, Qin Li, Jianfeng Lu:
Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds. CoRR abs/2003.02316 (2020) - [i8]Zhiyan Ding, Qin Li:
Variance reduction for Langevin Monte Carlo in high dimensional sampling problems. CoRR abs/2006.06068 (2020) - [i7]Zhiyan Ding, Qin Li:
Langevin Monte Carlo: random coordinate descent and variance reduction. CoRR abs/2007.14209 (2020) - [i6]Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright:
Random Coordinate Langevin Monte Carlo. CoRR abs/2010.01405 (2020) - [i5]Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright:
Random Coordinate Underdamped Langevin Monte Carlo. CoRR abs/2010.11366 (2020) - 2019
- [i4]Zhiyan Ding, Lukas Einkemmer, Qin Li:
Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. CoRR abs/1907.04247 (2019) - [i3]Zhiyan Ding, Qin Li:
Mean-field limit and numerical analysis for Ensemble Kalman Inversion: linear setting. CoRR abs/1908.05575 (2019) - [i2]Zhiyan Ding, Yiding Chen, Qin Li, Xiaojin Zhu:
Error Lower Bounds of Constant Step-size Stochastic Gradient Descent. CoRR abs/1910.08212 (2019) - [i1]Zhiyan Ding, Qin Li:
Ensemble Kalman Sampling: mean-field limit and convergence analysis. CoRR abs/1910.12923 (2019)
Coauthor Index
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