Thomas G. de Jong

211, building C4

Faculty of Mathematics and Physics

Kanazawa, Japan

I am a mathematician. But I dabble a lot in the applied sciences. So far my application domains include AI, celestial mechanics, cell biology. My mathematical expertise mainly concerns dynamical systems and lately I am very drawn to data science and neural network problems. Currently, my main focus is reservoir computing. I am in the Notsu-lab at the Faculty of Mathematics and Physics in Kanazawa University. My research is funded by CREST.

For my research I mainly use Python. I have worked on a couple of mechanical and material science problems in collaboration with industry, and I am always on the look for new collaborations.

I am an organizer of the Kanazawa Analysis Seminar KAS and Differential Equations for Data Science seminar DEDS. I am a member of the Reservoir Computing seminar group and a member of the Dutch Royal Mathematical Society (KWG).

As a first generation university graduate with a lower class background I very strongly believe in a grass-roots approach to science. I am very supportive of open-source. I think that a delta-function perspective on research is outdated in the age of model-free methods.

Current projects:

Universal physical frameworks for reservoir computing: Kohei Nakajima (U of Tokyo) , Hirofumi Notsu (Kanazawa U)
Biomath (replicating oscillators): Ayumi Ozawa (JAMSTEC) , Matthew Smart (Flatiron Institute), Hayden Nunley (Flatiron Institute), Ahmad Mohiuddin (Kanazawa U), Oussama Ounissi (Kanazawa U)
Pedestrian flow and swarms: Alessandro Corbetta (TU Eindhoven)
Data science and Archeology: Krist Vaesen (TU Eindhoven) , Fulco Scherjon (Leiden U) , Andrew Sorensen (Leiden U), Stan van Zon (U of Utrecht)
Biomath (surface-bulk PDEs): Koondanibha Mitra (TU Eindhoven) , Antoine Diez (Kyoto U) , Kharisma Surya Putri (Kanazawa U)
Liquid reservoir computing: Cedric Caremel (U of Tokyo), Hirofumi Notsu (Kanazawa U)
Linear complexity reservoir computing: Hirofumi Notsu (Kanazawa U) , Kohei Nakajima (U of Tokyo) , Ahmad Mohiuddin (Kanazawa U), Oussama Ounissi (Kanazawa U)

Collaborators not mentioned above: Henk Broer (U of Groningen), Nozomi Akashi (Kyoto U), Tomohiro Taniguchi (AIST), Georg Prokert (TU Eindhoven), Joost Hulshof (VU Amsterdam), Patrick van Meurs (Kanazawa U), Alef Sterk (U of Groningen)

Students I am supervising or have supervised: Elsa Bernholm (M2, Karlstad University), Yuma Nakamura (D1, Kanazawa University), Kharisma Putri (D2, Kanazawa University), Yue Shu (M1, Kanazawa University), Oussama Ounissi (D1, Kanazawa University), Ahmad Mohiuddin (M2, Kanazawa University)

Teaching:

2025 Q1(Spring): Adjunct Assistant Professor (Temple U JP) - Algebra
2024 Q4(Winter): Lecturer (Kanazawa U) - Analysis 3B (PDEs) (Book: 偏微分方程式入門 by　神保秀一)
2023 Q3(Autumn): Lecturer (Kanazawa U) - Analysis 3A (ODEs) (Book: 微分方程式 by 長瀬道弘)

news

Dec 19, 2024	The international conference Differential Equations for Data Science (DEDS) 2025 will be held in Kyoto from February 11 to February 13. More info over here
Dec 19, 2024	Mathieu Baltussen (Radboud U) from the groundbreaking [Chemical reservoir computation in self-organizing reaction network, Nature 2024] will visit us in Kanazawa (february 15-19)
Oct 10, 2024	DEDS-POOL miniworkshop 25th of October
Sep 23, 2024	Talk on information processing capabilities of oscillator networks at Workshop for young scholars Control and inverse problems on waves, oscillations and flows by MACM (Kyoto)
Sep 14, 2024	Talk on high-speed reservoir simulations at JSIAM (Kyoto) in the Mathematics of Continuum Mechanics session

latest posts

Nov 6, 2024	Open source digital infrastructure for conference
Feb 12, 2024	Batch image conversion
Jan 10, 2024	Mixing MathJaX with CSS, HTML

selected publications

arXiv

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

Yuma Nakamura, Kharisma S. Putri, Alef Sterk, and 1 more author

2024

Bib HTML

@misc{nakamura2024wellposedness,
  title = {Well-posedness results for general reaction-diffusion transport of oxygen in encapsulated cells},
  author = {Nakamura, Yuma and Putri, Kharisma S. and Sterk, Alef and Jong, Thomas G de},
  year = {2024},
  eprint = {2401.09863},
  archiveprefix = {arXiv},
  primaryclass = {math.AP},
}

MLNCP

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

Thomas G de Jong, Nozomi Akashi, Tomohiro Taniguchi, and 2 more authors

In NeurIPS: ML with New Compute Paradigms Workshop , 2023

Bib HTML

@inproceedings{de2023mlncp,
  title = {Virtual reservoir acceleration for CPU and GPU: Case study for coupled spin-torque oscillator reservoir},
  author = {Jong, Thomas G de and Akashi, Nozomi and Taniguchi, Tomohiro and Notsu, Hirofumi and Nakajima, Kohei},
  booktitle = {NeurIPS: ML with New Compute Paradigms Workshop },
  year = {2023},
  organization = {NeurIPS},
}

CHA

How neural networks learn to classify chaotic time series

Alessandro Corbetta¹, and Thomas G de Jong¹

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023

Bib HTML PDF

@article{corbdejon2023neural,
  author = {Corbetta<sup>1</sup>, Alessandro and Jong<sup>1</sup>, Thomas G de},
  title = {{How neural networks learn to classify chaotic time series}},
  journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  volume = {33},
  number = {12},
  pages = {123101},
  year = {2023},
  doi = {10.1063/5.0160813},
}

arXiv

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

Thomas G de Jong, and Patrick van Meurs

2023

Bib HTML

@misc{dejong2023holder,
  title = {Holder regularity for the trajectories of generalized charged particles in 1D},
  author = {Jong, Thomas G de and Meurs, Patrick van},
  year = {2023},
  eprint = {2311.08739},
  archiveprefix = {arXiv},
  primaryclass = {math.DS},
}

arXiv

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

Thomas G de Jong, Georg Prokert, and Alef E Sterk

2023

Bib HTML

@misc{dejong2023reactiondiffusion,
  title = {Reaction-diffusion transport into core-shell geometry: Well-posedness and stability of stationary solutions},
  author = {Jong, Thomas G de and Prokert, Georg and Sterk, Alef E},
  year = {2023},
  eprint = {2305.03397},
  archiveprefix = {arXiv},
  primaryclass = {math.AP},
}