Yongcun Song
[Past member] Postdoctoral Researcher (2022/24)
Funded by Alexander von Humboldt Stiftung/Foundation
yongcun.song@fau.de
Room 03.362 | Friedrich-Alexander-Universität Erlangen Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67170
[Past member] Postdoctoral Researcher (2022/24)
Funded by Alexander von Humboldt Stiftung/Foundation
yongcun.song@fau.de
Room 03.362 | 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
2025
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FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
In: Neural Networks 181 (2025), Article No.: 106772
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106772
BibTeX: Download
2024
- , , , , :
The hard-constraint PINNs for interface optimal control problems
(2024)
URL: https://arxiv.org/abs/2308.06709
BibTeX: Download - , , :
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems
(2024)
URL: https://arxiv.org/abs/2307.00296
BibTeX: Download - , , :
THE ADMM-PINNS ALGORITHMIC FRAMEWORK FOR NONSMOOTH PDE-CONSTRAINED OPTIMIZATION: A DEEP LEARNING APPROACH
In: SIAM Journal on Scientific Computing 46 (2024), p. C659-C687
ISSN: 1064-8275
DOI: 10.1137/23M1566935
BibTeX: Download - , , :
An Augmented Lagrangian Method for State Constrained Linear Parabolic Optimal Control Problems
In: Journal of Optimization Theory and Applications (2024)
ISSN: 0022-3239
DOI: 10.1007/s10957-024-02494-3
BibTeX: Download - , , :
Approximate and Weighted Data Reconstruction Attack in Federated Learning
(2024)
URL: https://arxiv.org/abs/2308.06822
BibTeX: Download
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 - , , :
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
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
