activity
20232026
most citedHow neural networks learn to classify chaotic time series

5 citations · 5 across the 6 of their papers we have counts for

collaborators

7 papers

nlin.CD2026

Ordinal-pattern transition networks as a symbolic substrate for reservoir computing

Max Potratzki, Thomas G. de Jong, Michael Small +1

Reservoir computing has established itself as a computationally efficient alternative to fully trained recurrent neural networks using a fixed high-dimensional nonlinear substrate…

nlin.CD2025

Designing learning in high dimensional oscillator networks with low dimensional read-out

Thomas Geert de Jong

In this paper we investigate a oscillator network based reservoir computer with a large number of oscillators and a low dimensional read-out. The read-out is a function on the aver…

math.AP2024

Well-posedness results for general reaction-diffusion transport of oxygen in encapsulated cells

Yuma Nakamura, Kharisma Surya Putri, Alef Sterk +1

In this paper, we provide well-posedness results for nonlinear parabolic PDEs given by reaction-diffusion equations describing the concentration of oxygen in encapsulated cells. Th…

math.DS2023

Hölder regularity for the trajectories of generalized charged particles in 1D

Thomas Geert de Jong, Patrick van Meurs

We prove Hölder regularity for the trajectories of an interacting particle system. The particle velocities are given by the nonlocal and singular interactions with the other partic…

cs.DC2023

Virtual reservoir acceleration for CPU and GPU: Case study for coupled spin-torque oscillator reservoir

Thomas Geert de Jong, Nozomi Akashi, Tomohiro Taniguchi +2

We provide high-speed implementations for simulating reservoirs described by -coupled spin-torque oscillators. Here also corresponds to the number of reservoir nodes. We ben…

math.DS2023★ 5 cited

How neural networks learn to classify chaotic time series

Alessandro Corbetta, Thomas Geert de Jong

Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabil…

math.AP2023

Reaction-diffusion transport into core-shell geometry: Well-posedness and stability of stationary solutions

T. G. de Jong, G. Prokert, A. E. Sterk

We investigate a nonlinear parabolic reaction-diffusion equation describing the oxygen concentration in encapsulated pancreatic cells with a general core-shell geometry. This geome…