Note: unless otherwise announced, all talks take place between 2pm and 3pm, in room SA213
2025-09-02(二) Introduction to the colloquium and presentation.
2025-09-09(二) 13:20~15:10 地點：科一311
台積電校園巡迴講座, 奈米製像技術發展處簡介與光學鄰近校正技術介紹 [TSMC NPTD Campus Activity] NPTD and OPC Introduction
介紹半導體製程的OPC部分並宣傳預聘與暑期實習生招募等事宜。
2025-09-16(二) 13:20-14:20, 地點：科一213
114年度地區圖書服務推廣, 由清華大學圖書服務計劃助理簡介地區服務計劃的內容及本校總圖介紹學研資源工具.
2025-09-23(二) 2pm-3pm, 地點：科一213, 國立陽明交通大學電子物理系, 鍾佳民(Chia-Min Chung)教授
Title: Quantum-inspired algorithm--Solving Gross-Pitaevskii Equation using Quantic Tensor Train
Abstract: The Quantic Tensor Train (QTT) is a tensor network framework that provides highly compact representations of high-dimensional functions and operators. This makes it a promising tool for tackling nonlinear partial differential equations that are otherwise computationally demanding. In this work, we explore the use of QTT for solving the Gross–Pitaevskii equation (GPE), a fundamental nonlinear model describing Bose–Einstein condensates and related quantum systems. By using QTT, we significantly reduce the computational complexity compared to conventional discretization methods, achieving efficient and scalable solutions. Our results demonstrate the potential of QTT to extend tensor network techniques beyond linear problems, opening the door to new applications in nonlinear quantum dynamics and many-body physics.
2025-09-30(二)
2025-10-07(二) 2pm-3pm, 地點：科一213, 國立中山大學應用數學系, 林晉宏(Jephian C.-H. Lin) 教授.
Title: Spectral Clustering: Theory and Practice
Abstract:
Given a graph and a function on its vertices, how do we partition the vertices into clusters so that (1) vertices with similar function values are in the same cluster and (2) the induced subgraph on each cluster is connected as much as possible? Such a problem has applications in detecting the sources of air pollution, image segmentation, and so on. We will go through the theoretical background of this algorithm and demonstrate some of its applications.
2025-10-14(二) Midterm exam, no talk.
2025-10-21(二) 2pm-3pm, 地點：科一213, School of Science, the University of Tokyo, Professor Norikazu Saito
Title: Decoupling iterative numerical methods for mean field games
Abstract:
Mean field games (MFGs) are formulated as nonlinear coupled systems of partial differential equations, consisting of the Fokker–Planck equation, which governs the density distribution of agents, and the Hamilton–Jacobi–Bellman equation, which describes the temporal evolution of their control inputs. Such systems arise in a broad range of applications, including crowd dynamics, control of autonomous vehicle fleets, mathematical biology, engineering, and economics. Since MFGs are typically posed as space–time boundary value problems, numerical schemes designed for standard initial value problems cannot be directly applied. This motivates the development of new computational methods together with a rigorous mathematical foundation. In this talk, I present an implementation-friendly approach based on a generalized conditional gradient (GCG) method and discuss its convergence properties. In particular, I report recent results, obtained in collaboration with H. Nakamura, for MFGs with local coupling terms.
2025-10-28(二) 2pm-3pm, 地點：科一213, 國立台灣大學物理系胡家瑜 (Chia-Yu Hu) 教授
Title: Computational galaxy formation via the small-scale physics of the interstellar medium
Abstract:
Computational galaxy formation has been remarkably successful in recreating realistic galaxies on a supercomputer using the so-called “cosmological simulations”, where a smooth mixture of gas and dark matter in the early Universe gradually evolves into thousands of galaxies similar to those observed today. The key to this success lies in the physical processes (collectively referred to as "feedback") that drive the cycling of gas in and around galaxies. However, all existing cosmological simulations face a fundamental limitation due to their empirical "sub-resolution" models. In this talk, I will introduce the successes and challenges in this field and discuss exciting recent progress on high-resolution, small-scale simulations that aim to tackle the problem by directly modeling the physics in the interstellar medium. I will also discuss the critical role of innovative numerical algorithms in advancing our field.
2025-11-04(二)
2025-11-11(二) 2pm-3pm, 地點：科一213, 國家太空中心蔡玉麟博士
Title: From Pixels to Earth: The Mathematics of Remote Sensing
Abstract: Exploring the mathematical principles behind remote sensing, starting with how to define the location using Earth Coordinate Systems and Geodetic Coordinate Systems, and demonstrate how to map satellite images to a Ground Coordinate System. The presentation will also introduce image processing techniques for both optical and Synthetic-aperture radar (SAR) images, including radiometric calibration and geometric correction. Finally, I'll showcase specific applications such as Total Variation (TV) models, image fusion using neural networks and SAR image denoising.
2025-11-18(二) 性別平等教育宣導課程
2025-11-25(二) 2pm-3pm, 地點：科一213, 國立成功大學測量及空間資訊學系 曾子榜 (Tzu-Pang Tseng) 教授
2025-12-02(二)
2025-12-09(二) 2pm-3pm, 地點：科一231, 國立中正大學數學系，呂秉澤(Bing-Ze Lu)教授
2025-12-16(二) Final exam, no talk.