7 citations · 18 across the 9 of their papers we have counts for
4 papers · 1 filter
Diff-ANO: Towards Fast High-Resolution Ultrasound Computed Tomography via Conditional Consistency Models and Adjoint Neural Operators
Xiang Cao, Qiaoqiao Ding, Xinliang Liu +2
Ultrasound Computed Tomography (USCT) constitutes a nonlinear inverse problem with inherent ill-posedness that can benefit from regularization through diffusion generative priors.…
Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients
Xinliang Liu, Lei Zhang, Shengxin Zhu
In this paper, we demonstrate the construction of generalized Rough Polyhamronic Splines (GRPS) within the Bayesian framework, in particular, for multiscale PDEs with rough coeffic…
Iterated numerical homogenization for multi-scale elliptic equations with monotone nonlinearity
Xinliang Liu, Eric Chung, Lei Zhang
Nonlinear multi-scale problems are ubiquitous in materials science and biology. Complicated interactions between nonlinearities and (nonseparable) multiple scales pose a major chal…
Optimal control for multiscale equations with rough coefficients
Yanping Chen, Jiaoyan Zeng, Xinliang Liu +1
This paper concerns the convex optimal control problem governed by multiscale elliptic equations with arbitrarily rough coefficients, which has important applications in…