Dr Konstantin Riedl
Pronouns
He / Him
Status
Postdoctoral Research Associate
at the Mathematical Institute of the University of Oxford
Research Fellow in Artificial Intelligence & Machine Learning
at Reuben College (see here)
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Journal and Conference Publications
on general machine learning and, in particular, scientific machine learning:
- [NEW!] "Global Convergence of Adjoint-Optimized Neural PDEs" (with J. Sirignano and K. Spiliopoulos). Journal of Machine Learning Research 26(295):1−94, 2025. (see also Oxford Mathematics post)
- [NEW!] "Convergence Analysis of Newton's Method for Neural Networks in the Overparameterized Limit" (with J. Sirignano and K. Spiliopoulos). arXiv preprint arXiv:2605.08352, 2026.
on transformers:
- [NEW!] "Quantifying Concentration Phenomena of Mean-Field Transformers in the Low-Temperature Regime" (with A. Alcalde, L. Bungert and T. Roith). arXiv preprint arXiv:2605.10931, 2026.
on consensus-based optimization:
- "Consensus-based optimization methods converge globally" (with M. Fornasier and T. Klock). SIAM Journal on Optimization, 2024.
- "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.
- "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.
- "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, oral, 2024.
- "Gradient Is All You Need? How Consensus-Based Optimization Can Be Interpreted as a Stochastic Relaxation of Gradient Descent" (with T. Klock, C. Geldhauser, and M. Fornasier). SIAM Journal on Mathematics of Data Science (accepted, to appear), 2026.
- "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.
- "Strong Global Convergence of the Consensus-Based Optimization Algorithm" (with S. Bonandin, and S. Veneruso). arXiv preprint arXiv:2512.10654, 2025.
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.
Research interests
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, specifically machine learning, data analysis, optimization, scientific computing, and their interfaces. He focuses on the design as well as the mathematical and numerical analysis of algorithms and methods used in these areas. To elucidate their often intricate behavior, he employs tools from applied and numerical analysis, applied probability, the analysis of partial differential equations (PDEs), stochastic analysis and calculus, along with numerical simulations.
Awards
- SIAM Student Paper Prize. (July, 2026)
- G-Research Grant; see news report. (January, 2026)
- Dissertation Prize of the Freunde der TUM e.V.: Awarded for the best (one of seven) doctoral dissertation across the whole Technical University of Munich; see news report. (December, 2025)
- Dissertation Prize of the Department of Mathematics of the Technical University of Munich: Awarded for the best doctoral dissertation in the department. (February, 2025)
Conferences and Travels
You can find me at the following conferences and workshops:
2027
- Joint Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and the German Mathematical Society (DMV), Ulm, Germany (March 8-12, 2027, co-organizer of Junior MS on "Interacting Particle Systems in Optimization and Machine Learning" with Tim Roith)
2026
- International Conference on Scientific Computing and Machine Learning, Bath, UK (September 14-17, 2026)
- Mathematical Foundations of AI: The Erlangen Hub Conference 2026, Oxford, UK (September 1-3, 2026)
- Workshop on the Mathematics of Transformers (2nd edition), Oxford, UK (August 21, 2026, co-organizer with José A. Carrillo, Daniel Kelly, Tim Roith)
- 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)
- ProbAI Theory of Scaling Laws Workshop, Warwick, UK (June 22-24, 2026)
- SIAM Conference on Optimization, Edinburgh, UK (June 1-5, 2026, co-organizer of MS on "Learning Scientific Models from Data" with Martin Holler, Erion Morina, Johannes Müller)
Workshop on Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications, Oxford, UK (March 16-19, 2026) and 15th Oxbridge PDE Conference, Oxford, UK (March 20, 2026)
2025
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 the Mathematics of Transformers, Hamburg, Germany (September 26, 2025, co-organizer with Martin Burger, Samira Kabri, Tim Roith, Lukas Weigand)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)