This project is related to the following projects:
This project aimed to develop a discrete formulation of Lagrange–Dirac mechanics and to integrate it with various mathematical and information science techniques —such as symplectic geometry, automatic differentiation, computer algebra, sparse modeling, and neural differential equations— to build new theories and technologies for modeling and simulation. It was fundamental research on scientific machine learning methods that incorporate physical properties, and it laid the groundwork for the present project.
This is an international research initiative on scientific machine learning in collaboration with the Maths4DL project, led by Prof. Budd at the University of Bath in the UK.
The ASPIRE program not only promotes cutting-edge research but also aims to foster globally competitive researchers by connecting young talents with world-class research groups. Within the framework of this project, collaborative research with international partners and initiatives such as the organization of the international conference SCML are being carried out to promote global research mobility and intellectual exchange.
This project is an international collaborative research project on the mathematics of deep learning, led primarily by Professors Brynjulf Owren and Elena Celledoni at the Norwegian University of Science and Technology (NTNU).
In addition to our research group, it involves collaboration with research teams led by Prof. Owren at NTNU, Prof. Carola-Bibiane Schönlieb at Cambridge University, Prof. Christopher J. Budd at Bath University, Prof. Wil Schilders at TU Eindhoven, Prof. Lars Ruthotto at Emory University, and Prof. Ben Adcock at Simon Fraser University. Collaborative research is conducted through long-term mutual visits among these institutions. This project also works in close coordination with the JST ASPIRE program, jointly organizing numerous international workshops and symposia.