86 citations · 333 across the 21 of their papers we have counts for
5 papers · 1 filter
Error Lower Bounds of Constant Step-size Stochastic Gradient Descent
Zhiyan Ding, Yiding Chen, Qin Li +1
Stochastic Gradient Descent (SGD) plays a central role in modern machine learning. While there is extensive work on providing error upper bound for SGD, not much is known about SGD…
Ensemble Kalman Sampler: mean-field limit and convergence analysis
Zhiyan Ding, Qin Li
Ensemble Kalman Sampler (EKS) is a method to find approximately samples from a target distribution. As of today, why the algorithm works and how it converges is mostly unk…
On a Fractional Schrödinger equation in the presence of Harmonic potential
Zhiyan Ding, Hichem Hajaiej
In this paper, we establish the existence of ground state solutions for a fractional Schrödinger equation in the presence of a harmonic trapping potential. We also address the orbi…
Ensemble Kalman Inversion: mean-field limit and convergence analysis
Zhiyan Ding, Qin Li
Ensemble Kalman Inversion (EKI) has been a very popular algorithm used in Bayesian inverse problems. It samples particles from a prior distribution, and introduces a motion to move…
Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit
Zhiyan Ding, Lukas Einkemmer, Qin Li
Dynamical low-rank algorithms are a class of numerical methods that compute low-rank approximations of dynamical systems. This is accomplished by projecting the dynamics onto a low…