3 citations · 4 across the 9 of their papers we have counts for
9 papers
Rates of convergence in the central limit theorem for the elephant random walk with random step sizes
Jérôme Dedecker, Xiequan Fan, Haijuan Hu +1
In this paper, we consider a generalization of the elephant random walk model. Compared to the usual elephant random walk, an interesting feature of this model is that the step siz…
Low rank prior and l0 norm to remove impulse noise in images
Haijuan Hu
Patch-based low rank is an important prior assumption for image processing. Moreover, according to our calculation, the optimization of l0 norm corresponds to the maximum likelihoo…
Cramér-type moderate deviations for Euler-Maruyama scheme for SDE
Xiequan Fan, Haijuan Hu, Lihu Xu
In this paper, we establish normalized and self-normalized Cramér-type moderate deviations for Euler-Maruyama scheme for SDE. As a consequence of our results, Berry-Esseen's bounds…
Comparison on the criticality parameters for two supercritical branching processes in random environments
Xiequan Fan, Haijuan Hu, Hao Wu +1
Let and be two supercritical branching processes in different random environments, with criticality parameters and respec…
Cramér moderate deviations for the elephant random walk
Xiequan Fan, Haijuan Hu, Xiaohui Ma
We establish some limit theorems for one-dimensional elephant random walk, including Berry-Esseen bounds, Cramér moderate deviations and local limit theorems. These limit theorems…
Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment
Xiequan Fan, Haijuan Hu, Quansheng Liu
Let be a supercritical branching process in an independent and identically distributed random environment. We prove Cramér moderate deviations and Berry-Esseen b…
Spatial-Frequency Domain Nonlocal Total Variation for Image Denoising
Haijuan Hu, Jacques Froment, Baoyan Wang +1
Following the pioneering works of Rudin, Osher and Fatemi on total variation (TV) and of Buades, Coll and Morel on non-local means (NL-means), the last decade has seen a large numb…
A note on patch-based low-rank minimization for fast image denoising
Haijuan Hu, Jacques Froment, Quansheng Liu
Patch-based low-rank minimization for image processing attracts much attention in recent years. The minimization of the matrix rank coupled with the Frobenius norm data fidelity ca…
Removing Mixture of Gaussian and Impulse Noise by Patch-Based Weighted Means
Haijuan Hu, Bing Li, Quansheng Liu
We first establish a law of large numbers and a convergence theorem in distribution to show the rate of convergence of the non-local means filter for removing Gaussian noise. We th…