YMSC-2020暑期线上公开课-应用数学方向
Speaker: Xianfeng Gu，Xiaolong Li，Xiaokang Mo
Schdule: 2020-07-04~08-30
Venue: Online
Speaker: Prof. Xianfeng Gu (The State University of New York at Stony Brook)
Schdule: 9:00-10:30, every Sat. & Sun. between Jul. 4th and Aug. 30th
Zoom Meeting ID: 871 605 78498
Password: 156302
Title: Computational Conformal Geometry
Abstract: Computational Conformal Geometry is an emerging interdisciplinary field, combing modern topology and geometry with computer science and has broadly applied in engineering and medical fields. This course will cover fundamental concepts and theorems from algebraic topology, surface differential geometry, Riemann surface theory and geometric partial differential equations; it also covers the computational methods for surface harmonic maps, meromorphic differentials on Riemann surfaces and Ricci flow. The applications will be detailed analyzed, including mesh parameterization in computer graphics, deformable surface registration in vision, routing in sensor networks, brain mapping and virtual colonoscopoy in medical imaging. The prerequisites include multivariant calculus, advanced algebra and complex analysis. The course is free and open to the public. Students from engineering, mathematics, physics and biology are welcomed. Engineers, researchers, doctors are also welcome to audit.
Video & lecture notes： https://www3.cs.stonybrook.edu/~gu/lectures/2020/
----------------------------------------------------------------------------------------------------------------------
Speaker: Prof. Xiaokang Mo (Beijing Institute of Mathematical Sciences and Applications)
Time: 13:30-15:00, every Mon. & Wed. & Fri. between Jul. 6th and Jul. 31st
Zoom Meeting ID: 662 616 2007 （no password）
Tencent Meeting ID: 712 262 4178 （no password）
Title: Cryptography and Blockchain
Abstract: This course is about cryptography and its applications to blockchain and distributed ecosystem. The course will introduce and explain the basic theoretic concepts, but more emphasize will be given to the application side, with some real-life case studies. The course is design with the intention to help the students to develop a comprehensive understanding of the subject matter, which will be useful for their future career either in research or in the industry. Students with background in mathematics, computer science, information security, cryptography and blockchain are welcome to attend.
Keywords：Cryptography, Blockchain, Distributed Ecosystem, Zero Knowledge Proofs, Homomorphic Encryption, Secure Multiparty Computation, Application Case.
Schedule (Update weekly):
Week #1: cryptography, blockchain and decentralized ecosystem
Week #2: zero knowledge proof and its application to cryptocurrency
Week #3: homomorphic encryption and its application to cloud computing
Week#4: multiparty computation and its application to secure data sharing
---------------------------------------------------------------------------------------------------------------------------
Speaker：李晓龙教授（北京交通大学）
Schdule：18:30-21:30，每周一，四，六，7.20-8.24
Zoom Meeting ID：423 512 364
Password：9089
Title：机器学习入门
Abstract：随着人工智能技术的蓬勃发展，机器学习的算法和理论越来越的受到了人们的关注、已经成为计算机科学的核心研究方向之一。本课程面向基础较好的大学高年级以及研究生低年级学生，讲授机器学习的基础知识。在讲授机器学习基本算法的同时，本课程更侧重于算法背后的理论基础及其相应的推导过程，希望学生能够在熟练使用相关算法的同时为后续的深入学习和研究打好基础。本课程主要包括三个部分，第一部分是微积分、实分析等基础知识回顾（9学时）；第二部分介绍最优化方法（18学时），主要介绍凸优化的相关理论和方法，同时作为优化方法的例子穿插讲解一些基本的机器学习算法；第三部分介绍机器学习的基本理论和方法（21学时），主要包括线性回归、数据降维、密度估计、线性-非线性分类方法、聚类、神经网络等。
Reference：Mathematics for Machine Learning. M. P. Deisenroth, A. A. Faisal, C. S. Ong. To be published by Cambridge University Press, 2020.
