Oliver Tse
Eindhoven University of Technology (TU/e)

In mathematics the art of proposing a question must be held of higher value than solving it.
Georg Cantor (1845—1918, German mathematician)

Research Interests

My research topics in the past and present include

Analysis of nonlinear diffusion systems and multiscale analysis of variational evolutions
Kinetic equations: qualitative properties, multiscale modeling and analysis, and numerical simulation
Optimal control with PDEs: multiscale analysis of adjoint-based methods
Interacting particle systems: consensus-based methods in global optimization, disease and population dynamics, large deviations
Variational and stochastic methods for open quantum systems and variational algorithms in quantum computing

My current focus lies on the connections between optimal transport, (generalized) gradient flows, and large deviations, and on probabilistic methods for studying variational evolutions, with an eye toward applications in both the classical and quantum realms.

Journal Publications

with Matthias Liero, Alexander Mielke, and Jia-Jie Zhu. Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow, 2025 (arXiv:2504.20400)
with Evie Nielen and Karen Veroy. Polytope division method: A scalable sampling method for problems with high-dimensional parameters, 2025 (arXiv:2410.17938)
with Robert de Keijzer, Servaas Kokkelmans, and Luke Visser. Consensus-based qubit configuration optimization for variational algorithms on neutral atom quantum systems, 2025 (arXiv:2504.06702)
with Robert de Keijzer, Servaas Kokkelmans, and Luke Visser. Fidelity-enhanced variational quantum optimal control, 2025 (arXiv:2501.17692)
with Nilasis Chaudhuri, Young-Pil Choi, and Ewelina Zatorska. Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming, 2025. (arXiv:2402.07130)
with Robert de Keijzer, Servaas Kokkelmans, and Luke Visser. Qubit fidelity distribution under stochastic Schrodinger equations driven by classical noise, 2025. (arXiv:2401.11758)
with Shi Chen, Qin Li, and Stephen Wright. Accelerating optimization over the space of probability measures, 2025. (arXiv:2310.04006)
with Anastasiia Hraivoronska and André Schlichting. Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit, 2024. (arXiv:2306.02226)
with Jasper Hoeksema and Anastasiia Hraivoronska. Large population limit of interacting population dynamics via generalized gradient structures, 2024. (arXiv:2406.05894)
with Jasper Hoeksema, Thomas Holding, and Mario Maurelli. Large deviations for singularly interacting diffusions, 2024. (arXiv:2002.01295)
with Robert de Keijzer and Servaas Kokkelmans. Recapture Probability for anti-trapped Rydberg states in optical tweezers, 2023. (arXiv:2303.08783)
with Anastasiia Hraivoronska. Diffusive limit of random walks on tessellations via generalized gradient flows, 2023. (arXiv:2202.06024)
with Jasper Hoeksema. Generalized gradient structures for measure-valued population dynamics and their large-population limit, 2023. (arXiv:2207.00853)
with Robert de Keijzer and Servaas Kokkelmans. Pulse-based variational quantum optimal control for hybrid quantum computing, 2023. (arXiv:2202.08908)
with Young-Pil Choi. Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces, 2022. (arXiv:2012.00422)
with Simone Fagioli. On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility, 2022. (arXiv:2105.11389)
with Young-Pil Choi and Doeun Oh. Controlled pattern formation of stochastic Cucker-Smale systems with network structures, 2022. (arXiv:2105.07353)
with Mark A. Peletier, Riccarda Rossi, and Giuseppe Savaré. Jump processes as Generalized Gradient Flows, 2022. (arXiv:2006.10624)
with Martin Burger, René Pinnau, and Claudia Totzeck. Mean-field optimal control and optimality conditions in the space of probability measures, 2021. (arXiv:1902.05339)
with Martin Burger, René Pinnau, Andreas Roth, and Claudia Totzeck. Instantaneous control of interacting particle systems in the mean-field limit, 2020. (arXiv:1610.01325)
with Bastian Hilder, Mark A. Peletier, and Upanshu Sharma. An inequality connecting entropy distance, Fisher Information and large deviations, 2020. (arXiv:1812.04358)
with José A. Carrillo and Young-Pil Choi. Convergence to Equilibrium in Wasserstein distance for damped Euler equations with interaction forces, 2018. (arXiv:1712.05923)
with Markus Schmidtchen and Stephan Wackerle. A multiscale approach for spatially inhomogeneous disease dynamics, 2018. (arXiv:1602.05927)
with José A. Carrillo, Young-Pil Choi, and Claudia Totzeck. An analytical framework for a consensus-based global optimization method, 2018. (arXiv:1602.00220)
with Axel Klar and Lisa Kreusser. Trend to equilibrium for a delay Vlasov–Fokker–Planck equation and explicit decay estimates, 2017. (arXiv:1512.01074)
with Raul Borsche, Axel Klar, Christian Nessler, and Andreas Roth. A retarded mean-field approach for interacting fiber structures, 2017. (arXiv:1501.06465)
with René Pinnau and Claudia Totzeck. The quasi-neutral limit in optimal semiconductor design, 2017. (arXiv:1512.01116)
with René Pinnau, Claudia Totzeck, and Stephan Martin. A consensus-based model for global optimization and its mean-field limit, 2017. (arXiv:1604.05648)
with Raul Borsche, Axel Klar, and Anne Meurer. Mean-field models for interacting ellipsoidal particles, 2016. (arXiv:1511.07712)
with Axel Klar. An entropy functional and explicit decay rates for a nonlinear partially dissipative hyperbolic system, 2015.
with Stefan Frei, Heiko Andrä, and René Pinnau. Optimizing fiber orientation in fiber-reinforced materials using efficient upscaling, 2015.
with René Pinnau. On a regularized system of self-gravitating particles, 2014. (arXiv:1402.5519)
with Axel Klar and Florian Schneider. Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker–Planck equations, 2014.
On the effects of the Bohm potential on a macroscopic system of self-interacting particles, 2014. (arXiv:1303.0690)
with René Pinnau. Optimal control of a simplified natural convection-radiation model, 2013.
with René Pinnau and Norbert Siedow. Identification of temperature-dependent parameters in laser-interstitial thermo therapy, 2012.

Selected Unpublished Material

with Jose A. Carrilo, Young-Pil Choi, and Dowan Koo. Exponential and algebraic decay in Euler--alignment system with nonlocal interaction forces (arXiv:2510.14123)
with Jasper Hoeksema and Riccarda Rossi. Singular jump processes as generalized gradient flows (arXiv:2509.19138)
with Joengho Kim and Young-Pil Choi. Derivation of nonlinear aggregation-diffusion equation from a kinetic BGK-type equation (arXiv:2504.05674)
with Yuan Gao and Jian-Guo Liu. Optimal control formulation of transition path problems for Markov Jump Processes (arXiv:2311.07795)
with Robert de Keijzer, Servaas Kokkelmans, and Luke Visser. Variational method for learning Quantum Channels via Stinespring Dilation on neutral atom systems (arXiv:2309.10593)
with Alberto Montefusco and Upanshu Sharma. Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits (arXiv:2211.07265)
with Jarosław Wlazło, Robert Feßler, René Pinnau and Norbert Siedow. Elastic image registration with exact mass preservation. (arXiv:1609.04043)
with René Pinnau, Sebastian Rau, and Florian Schneider. The semi-classical limit of an optimal design problem for the stationary Quantum Drift-Diffusion model. (arXiv:1402.5518)

Refereed Proceedings

with Wolfgang Bock, Torben Fattler and Isti Rodiah. Numerical simulation of agent-based modeling of spatially inhomogeneous disease dynamics, 2017.
with Wolfgang Bock, Torben Fattler and Isti Rodiah. An analytic method for agent-based modeling of spatially inhomogeneous disease dynamics, 2017.
with René Pinnau and Norbert Siedow. Identification of temperature dependent parameters in radiative heat transfer, 2010.

Selected Master Thesis

Yasan Odeh. Consensus-Based Optimization: From Interacting Particles to Measure-Valued Agents, August 2025.
Evie Nielen. Mean field limit for general interacting particle systems, May 2022.
Robert de Keijzer. Pulse-based optimization of variational quantum algorithms in Rydberg systems, December 2021.
Tim Brünnette. Consensus-based optimization with finite range interaction, June 2021.
Abdulwahab Mohamed. Schrödinger bridges with multimarginal constraints, May 2021.
Thomas de Graaf. Short-time asymptotics of a Dynamical-Variational Transport cost on finite graphs: In pursuit of curvature, July 2020.
Jasper Hoeksema. Quasi-continuity and large-deviation principles for singularly interacting particle systems, August 2017.