Yongcun Song
Postdoctoral Researcher
Funded by Alexander von Humboldt Stiftung/Foundation
yongcun.song@fau.de
Room 03.363 | Friedrich-Alexander-Universität Erlangen Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67170
Postdoctoral Researcher
Funded by Alexander von Humboldt Stiftung/Foundation
yongcun.song@fau.de
Room 03.363 | Friedrich-Alexander-Universität Erlangen Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67170
Main research interests are numerical analysis and scientific computing in general. Topics include numerical optimization, operator splitting algorithms, machine learning, and optimal control problems.
PhD Thesis: First order numerical algorithms for some optimal control problems with PDE contraints (July 23, 2021)
Teaching
• WS 22/23: Introduction to Control and Machine Learning
• WS 21/22: CML: Control, Machine Learning, and Numerics
My posts on Math & Research

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach By Yongcun Song, Postdoctoral Researcher at FAU DCN-AvH ...
Publications
2023
A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation
In: Inverse Problems (2023)
ISSN: 0266-5611
DOI: 10.48550/arXiv.2202.01589
URL: https://arxiv.org/abs/2202.01589
BibTeX: Download , , , :- Song Y, Yuan X, Yue H:
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems
(2023)
Open Access: https://arxiv.org/abs/2307.00296
URL: https://arxiv.org/abs/2307.00296
BibTeX: Download - Yongcun Song, Xiaoming Yuan, Hangrui Yue:
The ADMM-PINNs algorithmic framework for nonsmooth PDE-constrained optimization: a deep learning approach
(2023)
URL: https://arxiv.org/abs/2302.08309
BibTeX: Download
A numerical approach to the optimal control of thermally convective flows
In: Journal of Computational Physics (2023)
ISSN: 0021-9991
URL: https://arxiv.org/abs/2211.15302
BibTeX: Download , , :
Approximate and Weighted Data Reconstruction Attack in Federated Learning
(2023)
URL: https://arxiv.org/abs/2308.06822
BibTeX: Download , , :
2020
- Glowinski R, Song YC, Yuan XM:
An ADMM numerical approach to linear parabolic state constrained optimal control problems
In: Numerische Mathematik 144 (2020), p. 931-966
ISSN: 0029-599X
DOI: 10.1007/s00211-020-01104-4
BibTeX: Download
2019
- Song YC, Yuan XM, Yue HR:
AN INEXACT UZAWA ALGORITHMIC FRAMEWORK FOR NONLINEAR SADDLE POINT PROBLEMS WITH APPLICATIONS TO ELLIPTIC OPTIMAL CONTROL PROBLEM
In: SIAM Journal on Numerical Analysis 57 (2019), p. 2656-2684
ISSN: 0036-1429
DOI: 10.1137/19M1245736
BibTeX: Download
2017
- Zhang K, Li JS, Song YC, Wang XS:
An alternating direction method of multipliers for elliptic equation constrained optimization problem
In: Science China-Mathematics 60 (2017), p. 361-378
ISSN: 1674-7283
DOI: 10.1007/s11425-015-0522-3
BibTeX: Download