在UMI 2018结束后,美国University of Utah的Tom Fletcher教授将在华东师范大学开设3次系列讲座,每次2小时。内容为Riemannian Geometry,Manifold statistics和Diffeomorphisms and Image Registration.
具体的时间、地点和内容大纲如下:
时间:5.15,16,17下午
地点:文史楼(校门口草坪后的白色三层楼)201
内容:
Part 1(5.15下午3:00-5:00):
Riemannian geometry basics
- Motivation: intro to manifold statistics
- Metrics, geodesics
- Covariant derivative, parallel translation
- Lie groups, homogeneous spaces
Part 2(5.16下午3:00-5:00):
Manifold Statistics
- Frechet mean
- Geometric median
- Principal geodesic analysis (PGA)
- Regression models
Part 3(5.17下午3:00-5:00):
Diffeomorphisms and Image Registration
- Diffeomorphism metrics and geodesic equations
- Image registration
- Atlas building
- PGA and regression models for diffeomorphisms