Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization
R.I. Bot, K. Sonntag, Journal of Mathematical Analysis and Applications (2025).

First-order methods and gradient dynamical systems for multiobjective optimization
K. Sonntag, First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization, Paderborn University, 2025.

Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems
K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).

A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces
K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).

Common pitfalls to avoid while using multiobjective optimization in machine learning
J. Akhter, P.D. Fährmann, K. Sonntag, S. Peitz, ArXiv (2024).

Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping
K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.

A multiobjective continuation method to compute the regularization path of deep neural networks
A.C. Amakor, K. Sonntag, S. Peitz, ArXiv (2023).

Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).