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20112026
most citedWeak Adversarial Networks for High-dimensional Partial Differential Equations

447 citations · 782 across the 31 of their papers we have counts for

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Showing 2020Show all

7 papers · 1 filter

cs.LG2020

A Hypergradient Approach to Robust Regression without Correspondence

Yujia Xie, Yixiu Mao, Simiao Zuo +4

We consider a variant of regression problem, where the correspondence between input and output data is not available. Such shuffled data is commonly observed in many real world pro…

eess.IV2020★ 1 cited

Deep Parallel MRI Reconstruction Network Without Coil Sensitivities

Wanyu Bian, Yunmei Chen, Xiaojing Ye

We propose a novel deep neural network architecture by mapping the robust proximal gradient scheme for fast image reconstruction in parallel MRI (pMRI) with regularization function…

cs.CV2020★ 6 cited

Learnable Descent Algorithm for Nonsmooth Nonconvex Image Reconstruction

Yunmei Chen, Hongcheng Liu, Xiaojing Ye +1

We propose a general learning based framework for solving nonsmooth and nonconvex image reconstruction problems. We model the regularization function as the composition of the $l_{…

cs.LG2020★ 3 cited

Network Diffusions via Neural Mean-Field Dynamics

Shushan He, Hongyuan Zha, Xiaojing Ye

We propose a novel learning framework based on neural mean-field dynamics for inference and estimation problems of diffusion on networks. Our new framework is derived from the Mori…

cs.CV2020★ 2 cited

A Novel Learnable Gradient Descent Type Algorithm for Non-convex Non-smooth Inverse Problems

Qingchao Zhang, Xiaojing Ye, Hongcheng Liu +1

Optimization algorithms for solving nonconvex inverse problem have attracted significant interests recently. However, existing methods require the nonconvex regularization to be sm…

math.NA2020★ 72 cited

Numerical Solution of Inverse Problems by Weak Adversarial Networks

Gang Bao, Xiaojing Ye, Yaohua Zang +1

We consider a weak adversarial network approach to numerically solve a class of inverse problems, including electrical impedance tomography and dynamic electrical impedance tomogra…

cs.LG2020★ 6 cited

Learning Cost Functions for Optimal Transport

Shaojun Ma, Haodong Sun, Xiaojing Ye +2

Inverse optimal transport (OT) refers to the problem of learning the cost function for OT from observed transport plan or its samples. In this paper, we derive an unconstrained con…