PDE & AI Seminar at Yonsei
PDE & AI Seminar at Yonsei
Join our seminar mailing list
If you would like to receive announcements about upcoming PDE & AI seminars, please sign up using the form. We will use this mailing list only for seminar-related updates, including upcoming talks, schedule changes, and special events.
June 19, 2026 [Link]
Talk 1: 3:00 - 4:00 pm
Speaker: Ho Yun
Title: Gaussian Optimal Transport beyond Brenier’s Non-Degeneracy
Abstract: This talk presents an operator-algebraic approach to Gaussian Optimal Transport on separable Hilbert spaces. We completely describe the Monge and Kantorovich problems, without imposing any regularity assumptions on the covariances. Moving forward, this talk explains the dynamic paths that particles travel as they transition from the starting state to the target. Additionally, when using entropic regularization, we demonstrate that the solution is characterized as a straightforward shrinking of the correlation operator. We will conclude by discussing how this perspective leads to more efficient computational algorithms and connects different geometric views of these transport problems.
Talk 2: 4:00 - 5:00 pm
Speaker: Almond Stöcker
Title: Infinite-Dimensional Spherical Kernel Ridge Regression
Authors: Beatrice Matteo, Almond Stöcker, Shahin Tavakoli
Abstract: We introduce a new regression framework for nonlinear modeling of responses that lie on Hilbert spheres of not necessarily finite dimension. Unlike tangent space regression, which lifts all responses to a common tangent space, our approach estimates conditional Fréchet means with respect to the intrinsic distance on the manifold. A representer theorem yields a representation of the mean function in a linear predictor space - the tangent space at a reference point - and reduces the infinite-dimensional estimation problem to a finite-dimensional one, which can efficiently be solved using a BFGS algorithm with double low-rank approximation. We establish convergence rates and analyze the finite-sample behavior of our estimator, concluding with an application to density regression. A ready-to-use implementation is available in R.
June 18, 2026
Speaker: Joseph S. Kwon (Richard Morrow Endowed Chair and Professor, Chemical and Biomolecular Engineering at The Ohio State University)
Title: Hybrid Modeling of Chemical Processes: Integrating Physics with Machine Learning to Capture Missing Physics [Link]
June 1, 2026
Speaker: Hyunwoo Lee (KIAS, AI & Natural Sciences Center)
Title: Weight Initialization Methods for Neural Networks [Link]
May 28, 2026
Speaker: Jae-Hwan Choi (KIAS, School of Mathematics)
Title: Introduction to Infinite-Dimensional Probability Theory and Its Application to Optimal Transport [Link]
April 30, 2026
Speaker: Jun-Kee Jeon (KHU, Department of Applied Mathematics)
Title: Stochastic Control and Free Boundary Problem: Theory, Applications, and Computations [Link]
April 16, 2026
Speaker: Jiseok Chae (KAIST, Department of Mathematical Sciences / PDE&AI Lab at Yonsei)
Title: Constructing Convergent Methods for Minimax Optimization Problems [Link]
---
Speaker:
Title:
[Link]