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20072026
most citedAdaptive Primal-Dual Hybrid Gradient Methods for Saddle-Point Problems

97 citations · 225 across the 33 of their papers we have counts for

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Showing 2021Show all

9 papers · 1 filter

physics.ao-ph2021

The Influence of Boreal Summer Madden-Julian Oscillation on Precipitation Extremes in Indonesia

Fadhil R. Muhammad, Sandro W. Lubis, Sonni Setiawan

This study examines the influence of Madden-Julian Oscillation (MJO) on Indonesian precipitation during the extended boreal summer (May to September). The MJO is one of the dominan…

math.NA2021★ 9 cited

The springback penalty for robust signal recovery

Congpei An, Hao-Ning Wu, Xiaoming Yuan

We propose a new penalty, the springback penalty, for constructing models to recover an unknown signal from incomplete and inaccurate measurements. Mathematically, the springback p…

math.OC2021★ 3 cited

Balanced Augmented Lagrangian Method for Convex Programming

Bingsheng He, Xiaoming Yuan

We consider the convex minimization model with both linear equality and inequality constraints, and reshape the classic augmented Lagrangian method (ALM) by balancing its subproble…

math.OC2021

Extensions of ADMM for Separable Convex Optimization Problems with Linear Equality or Inequality Constraints

Bingsheng He, Shengjie Xu, Xiaoming Yuan

The alternating direction method of multipliers (ADMM) proposed by Glowinski and Marrocco is a benchmark algorithm for two-block separable convex optimization problems with linear…

math.OC2021★ 4 cited

A Value-Function-based Interior-point Method for Non-convex Bi-level Optimization

Risheng Liu, Xuan Liu, Xiaoming Yuan +2

Bi-level optimization model is able to capture a wide range of complex learning tasks with practical interest. Due to the witnessed efficiency in solving bi-level programs, gradien…

math.NA2021★ 5 cited

An ADMM-Newton-CNN Numerical Approach to a TV Model for Identifying Discontinuous Diffusion Coefficients in Elliptic Equations: Convex Case with Gradient Observations

Wenyi Tian, Xiaoming Yuan, Hangrui Yue

Identifying the discontinuous diffusion coefficient in an elliptic equation with observation data of the gradient of the solution is an important nonlinear and ill-posed inverse pr…

math.OC2021★ 3 cited

Difference of convex algorithms for bilevel programs with applications in hyperparameter selection

Jane J. Ye, Xiaoming Yuan, Shangzhi Zeng +1

In this paper, we present difference of convex algorithms for solving bilevel programs in which the upper level objective functions are difference of convex functions, and the lowe…

cs.LG2021

A General Descent Aggregation Framework for Gradient-based Bi-level Optimization

Risheng Liu, Pan Mu, Xiaoming Yuan +2

In recent years, a variety of gradient-based methods have been developed to solve Bi-Level Optimization (BLO) problems in machine learning and computer vision areas. However, the t…

math.OC2021

Bilinear Optimal Control of an Advection-reaction-diffusion System

Roland Glowinski, Yongcun Song, Xiaoming Yuan +1

We consider the bilinear optimal control of an advection-reaction-diffusion system, where the control arises as the velocity field in the advection term. Such a problem is generall…