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Welcome to Masahiro Ikeda's webpage

About me:

Affiliation

・Associate Professor, Graduate School of Information Science and Technology,
                                        The university of Osaka

・Visiting Scientist, Mathematical Science Team,
                                  RIKEN Center for Advanced Intelligence Project (AIP)

・Visiting Researcher, Mathematical Department, Keio University

Research Interest

I have conducted research in pure mathematics, particularly on nonlinear partial differential equations that describe natural phenomena, using harmonic analysis. I obtained a Ph.D. in science in this field. At the same time, with the remarkable advancements in artificial intelligence technology based on deep learning, I could not go a day without hearing about its progress, which naturally led me to develop an interest in AI technology. Currently, I am engaged in research on the creation of innovative data analysis methods with theoretical guarantees by leveraging a wide range of mathematical disciplines, including machine learning, deep learning, neural networks, kernel methods, operator-theoretic data analysis, dynamical systems, differential equations, optimization problems, function space theory, functional analysis, C*-algebras, graph theory, and maximal monotone operator theory. In response to the demands of the data science field, I also sometimes focus on the theoretical development of these mathematical foundations themselves.

Key Word

・Differential Equations・Mathematical Physics・Harmonic Analysis・Functional Analysis・Dynamical Systems・Spectral graph theory・Machine Learning

Contact

・ikeda[at]ist.osaka-u.ac.jp

・masahiro.ikeda[at]keio.jp

・masahiro.ikeda[at]a.riken.jp