Julia Kowalczyk, M. Sc.


Picture of Julia Kowalczyk

Technical University of Munich

Chair of Optimal Control (Prof. Vexler)

Research interests

  • Nemytskii-operators in semilinear partial differential equations

  • Neural networks in the context of optimal control

Winter Term 2023/24

Tutor groups Analysis 1 (EI)

Summer Term 2023

Lab Course: Introduction to the Implementation of Optimal Control Problems with PDEs

Summer Term 2023

Tutor groups Analysis 2 (EI)

Winter Term 2022/23

Tutor groups Analysis 1 (EI)

Summer Term 2022

Tutor groups Analysis 2 (EI)

Winter Term 2021/22

Tutor groups Analysis 1 (EI)

Before 2021

Tutor groups Einführung in die Optimierung with programming classes in Julia, 
Developing E-Tests,
Mentor for first semester students,
Homework correction Analysis 1 & 2,
Tutor for Lern-und Lernformen 

 Poster

06.2022

Workshop Women in Optimization Optimal control of a semi-linear PDE with Nemytskii-operator as control
04.2024 Workshop Women in Optimization Identification and Optimization of Non-smooth Superposition Operators in Semilinear Elliptic PDEs

Talks

01.2023 Simula Research Laboratory's SCAN Meeting On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems
09.2023 Conference EUCCO in Heidelberg On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs

Academic education

Since 2021

Research Associate
2019 - 2021 Master Mathematics with focus on optimization
Thesis: Generalisation Properties of Neural Networks in Optimal Control
2015 - 2019

Bachelor Mathematics
Thesis: Support Vector Machines with \(l_p\)-Quasinorms

International experience

Winter Term 18/19 Erasmus-program at Cardiff-University/Prifysgol Caerdydd                             

 

2024

  • Christof, Constantin; Kowalczyk, Julia: On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs. ESAIM: Control, Optimisation and Calculus of Variations 30, 2024, 16 more… BibTeX Full text ( DOI )

2023

  • Christof, Constantin; Kowalczyk, Julia: On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems. Constructive Approximation, 2023 more… BibTeX Full text ( DOI )