output
20002026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations

Showing 2017 · math.OCShow all

6 papers · 2 filters

math.OC2017★ 1 cited

Proximal-Like Incremental Aggregated Gradient Method with Linear Convergence under Bregman Distance Growth Conditions

Hui Zhang, Yu-Hong Dai, Lei Guo +1

We introduce a unified algorithmic framework, called proximal-like incremental aggregated gradient (PLIAG) method, for minimizing the sum of a convex function that consists of addi…

math.OC2017★ 1 cited

Tightness of a new and enhanced semidefinite relaxation for MIMO detection

Cheng Lu, Ya-Feng Liu, Wei-Qiang Zhang +1

In this paper, we consider a fundamental problem in modern digital communications known as multi-input multi-output (MIMO) detection, which can be formulated as a complex quadratic…

math.OC2017

Linear Stochastic Approximation Algorithms and Group Consensus over Random Signed Networks: A Technical Report with All Proofs

Ge Chen, Xiaoming Duan, Wenjun Mei +1

This paper studies linear stochastic approximation (SA) algorithms and their application to multi-agent systems in engineering and sociology. As main contribution, we provide neces…

math.OC2017★ 31 cited

Intrinsic Reduced Attitude Formation with Ring Inter-Agent Graph

Wenjun Song, Johan Markdahl, Silun Zhang +2

This paper investigates the reduced attitude formation control problem for a group of rigid-body agents using feedback based on relative attitude information. Under both undirected…

math.OC2017

Delayed Optimal Control of Stochastic LQ Problem

Yuan-Hua Ni, Cedric Ka-Fai Yiu, Huanshui Zhang +1

A discrete-time stochastic LQ problem with multiplicative noises and state transmission delay is studied in this paper, which does not require any definiteness constraint on the co…

math.OC2017★ 86 cited

Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation

Shu Liang, Xianlin Zeng, Yiguang Hong

In this paper, we consider distributed optimization design for resource allocation problems over weight-balanced graphs. With the help of singular perturbation analysis, we propose…