School “INVERSE PROBLEMS”

Location: Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, Hanoi, Vietnam

Time: 2-7 December, 2019

Organizers

  • Dinh Nho Hao (Institute of Mathematics)
  • Nguyen Anh Tu (Institute of Mathematics)


Sponsors:

  • International Centre for Research and Postgraduate Training in Mathematics (ICRTM), Hanoi
  • The Simons Foundation Targeted Grant for the Institute of Mathematics, Hanoi


Institute of Mathematics, Vietnam Academy of Science and Technology will organize a school on Inverse Problems. The topics of the school are: inverse problems and ill-posed problems in science, technology, medicine, machine learning and deep learning. Numerical methods for solving these problems will be presented.

The lectures will be given by

  • Professor Sergey Pereverzev (RICAM: Johann Radon Institute for Computational and Applied Mathematics),
  • Professor Jijun Liu (School of Mathematics/S.T.Yau Center of Southeast University, Southeast University, Nanjing, PR China)
  • Professor Maxim Shishlenin (Institute of Computational Mathematics and Mathematical Geophysics, Sobolev Institute of Mathematics, Novosibirsk State University, Russia).

We can cover travel and local expenses for Vietnamese participants and up to 8 foreign participants in near locals, say Cambodia, Laos, Thailand, Malaysia, the Philippines …

Registration is by filling the online registration form

The application (including CV, dates of arrival and departure) should be sent to Mr. Tran Van Thanh ( This email address is being protected from spambots. You need JavaScript enabled to view it. ) earlier than 10 November, 2019

 

Program

Sergei Pereverzev:

Lecture 1: Brief Introduction to Machine Learning.
Lecture 2: Learning in Reproducing Kernel Hilbert Spaces and its
Regularization.
Lecture 3: Adaptation strategies in Learning.
Lecture 4: Some applications in Biomedicine: (a) Prediction of Nocturnal
Hypoglycemia, (b) Prediction of Neurodevelopmental Outcomes of Preterm Neonates.


Maxim Shishlenin:

1. Definitions and Examples of Inverse and Ill-Posed Problems.
2. Inverse problems for hyperbolic equations.
3. Gelfand-Levitan-Krein method.
4. Coefficient inverse problems for parabolic equations. Applications to
Medicine and Finance.


Jijun Liu:
Lecture 1: Backgrounds to Inverse and Ill-posed Problems.
Lecture 2: Regularization for Linear Ill-posed Problems.
Lecture 3: Conditional Stability and Choice Strategy for Regularizing
Parameters.
Lecture 4: Applications of Linear Ill-posed Problems.

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