OPEN SPACE,
OPEN MIND

Research Seeds Collection

Discover mathematical models from data.

Research

We use mathematical models to understand the mechanisms by which complex patterns and structures appear in nature are formed. In particular, we are interested in soft materials, such as polymers, liquid crystals, and colloids, that form structures through self-assembly. These structures can be found in a wide range of fields, from materials science that supports our lives to biology, such as the patterns created by cells and cell populations. We are conducting research to understand the mechanisms of structure formation by constructing mathematical models from data using machine learning techniques and by integrating mathematical models with machine learning.

Research achievements related to the aforementioned seed

i) Uyen Tu Lieu and Natsuhiko Yoshinaga, “Dynamic control of self-assembly of quasicrystalline structures through reinforcement learning” Soft Matter, 21, 514-525 (2025)

ii) Natsuhiko Yoshinaga and Satoru Tokuda, “Bayesian Modeling of Pattern Formation from One Snapshot of Pattern” Physical Review E, 106, 065301 (2022)

Faculty members involved in this research project

Natsuhiko Yoshinaga

Natsuhiko Yoshinaga

Department of Complex and Intelligent Systems; Complex Systems Information Science  Professor

Field of Study

Nonlinear dynamics of soft materials, mathematical models of cellular organisms, and model estimation using machine learning.

Previous employment/history

Associate Professor, Mathematical Collaboration Group, Advanced Institute for Materials Research (WPI-AIMR), Tohoku University; Chief Researcher and Deputy Lab Director, Open Innovation Laboratory for Advanced Mathematical Materials, National Institute of Advanced Industrial Science and Technology (AIST) and Tohoku University (Cross Appointment)

Subjects in charge (undergraduate)

Mathematical Modeling, Fundamentals of Data Science, Machine Learning I, Formal Languages ​​and Automata

Subjects taught (Graduate School)

Advanced Topics in Information Mathematics