Machine learning techniques for divergence-free field reconstruction

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Project Description

The student will work on machine learning techniques applied to the study of divergence-free flow reconstruction. Specifically, the student will use different Neural Network architectures and training algorithms to reconstruct a divergence-free flow from sparse and noisy data. The student will also investigate the spectral properties of the reconstructed flow and use this information to improve the training algorithm. They will test the methods on several problems and compare results with existing methods. We will meet weekly during the duration of the project.

Program - Applied Mathematics and Computer Science
Division - Computer, Electrical and Mathematical Sciences and Engineering
Field of Study - Machine learning

About the
Researcher

Raul Tempone

Raul Tempone

Desired Project Deliverables

As the main project deliverable, we expect a scientific report describing the methodology developed in the internship and its numerical use in various applications. The working environment the student will use should include a GIT repository for all project-related materials to facilitate proper verification processes. These materials include, among others, the codes and the saved input-outputs corresponding to all tested cases.

RECOMMENDED STUDENT ACADEMIC & RESEARCH BACKGROUND

Education in applied & computational mathematics
Education in applied & computational mathematics
Education and possibly experience in machine learning and/or stochastic numerics
Education and possibly experience in machine learning and/or stochastic numerics
Experience with code development and software engineering skills, such as C++ and/or python
Experience with code development and software engineering skills, such as C++ and/or python