Dr Konstantin Riedl
at the Mathematical Institute of the University of Oxford
Research Fellow in Artificial Intelligence & Machine Learning
at Reuben College (see here)
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Journal Publications
on neural PDEs:
- "Global Convergence of Adjoint-Optimized Neural PDEs" (with J. Sirignano and K. Spiliopoulos). arXiv preprint arXiv:2506.13633, 2025.
on consensus-based optimization:
- "Consensus-based optimization methods converge globally" (with M. Fornasier and T. Klock). SIAM Journal on Optimization, 2024.
- "On the global convergence of particle swarm optimization methods" (with H. Huang and J. Qiu). Applied Mathematics & Optimization, 2023.
- "Leveraging memory effects and gradient information in consensus-based optimisation: On global convergence in mean-field law". European Journal of Applied Mathematics, 2024.
- "Consensus-based optimization for saddle point problems" (with H. Huang and J. Qiu). SIAM Journal on Control and Optimization, 2023.
- "Consensus-Based Optimization with Truncated Noise". (with M. Fornasier, P. Richtárik, and L. Sun) European Journal of Applied Mathematics, 2024.
- "CB2O: Consensus-Based Bi-Level Optimization". (with N. García Trillos, S. Li, and Y. Zhu) arXiv preprint arXiv:2411.13394, 2024
- "Defending Against Diverse Attacks in Federated Learning Through Consensus-Based Bi-Level Optimization". (with N. García Trillos, A. Kumar Akash, S. Li, and Y. Zhu) Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2025.
Conference Publications
on consensus-based optimization:
- "Convergence of anisotropic consensus-based optimization in mean-field law" (with M. Fornasier and T. Klock). International Conference on the Applications of Evolutionary Computation (Part of EvoStar), 2022.
- "How Consensus-Based Optimization can be Interpreted as a Stochastic Relaxation of Gradient Descent" (with M. Fornasier, T. Klock, and C. Geldhauser). ICML Workshop on Differentiable Almost Everything: Differentiable Relaxations, Algorithms, Operators, and Simulators, 2024.
Code:
- "CBX: Python and Julia packages for consensus-based interacting particle methods". (with R. Bailo, A. Barbaro, S. N Gomes, T. Roith, C. Totzeck, U. Vaes) Journal of Open Source Software, 2024.
Theses:
- "Mathematical Foundations of Interacting Multi-Particle Systems for Optimization". Dissertation, 2024.
For a complete and up-to-date list of my publications, please see here.
Konstantin is a Postdoctoral Research Associate in Deep Learning at the Mathematical Institute of the University of Oxford, and a Research Fellow in Artificial Intelligence & Machine Learning at Reuben College.
He obtained his doctoral degree (Dr. rer. nat.) in mathematics from the Technical University of Munich summa cum laude in 2024, with a dissertation on the mathematical foundations of interacting multi-particle systems for optimization.
His research interests lie in applied mathematics with a particular focus on the design and numerical analysis of algorithms and methods used in machine learning, data analysis, signal processing, and scientific computing, as well as their interfaces. To elucidate their very often intricate behavior, he employs tools from the analysis of partial differential equations (PDEs), probability theory, statistics, and stochastic analysis together with numerical simulations.
Conferences and Travels
You can find me at the following conferences and workshops:
- 17th World Congress on Computational Mechanics (WCCM) and the 10th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Munich, Germany (July 19-24, 2026)
- BIRS Workshop Interacting Particle Systems: Theoretical Innovations and Practical Applications, Hangzhou, China (June 29-July 3, 2026)
- SIAM Conference on Optimization, Edinburgh, UK (June 1-5, 2026, MS co-organizer)
- Seminar Talk at the University of Warwick, Coventry, UK (November 4, 2025)
Research Visit and Seminar Talk at Boston University, Boston, USA (October 1-11, 2025)Seminar Talk at Brown University, Providence, USA (October 3, 2025)Workshop on Mathematics of Transformers, Hamburg, Germany (September 26, 2025, co-organizer)Conference on Mathematics of Machine Learning, Hamburg, Germany (September 22-25, 2025)ENUMATH, Heidelberg, Germany (September 1-5, 2025)SIAM Conference on Control and Its Applications, Montreal, Canada (July 28-August 1, 2025)SIAM Annual Meeting, Montreal, Canada (July 28-August 1, 2025)Research Visit and Seminar Talk at RWTH Aachen, Aachen, Germany (July 7-9, 2025)EUROPT, Southampton, UK (June 29-July 2, 2025)Physics for AI Workshop, Oxford, UK (March 19-21, 2025)