About me
Family name: Tran
Middle name: Thu
Given name: Le
In Vietnamese: Trần Thủ Lễ
My CV.
I obtained my PhD degree in Mathematical Optimization, in 2023 Université de Rennes, France.
My supervisors:
- Cédric Herzet (PhD supervisor)
- Clément Elvira (PhD co-supervisor)
- Hong-Phuong Dang (PhD co-supervisor)
- Valérie Monbet (Master supervisor)
- Kien Trung Nguyen (Bachelor supervisor)
About my PhD thesis:
Title: "Some Contributions on Safe Regions and Safe Screening in Convex Optimization".
Abstract: Convex optimization is common in machine learning, statistics, signal, and image processing. Solving high-dimensional optimization problems remains challenging due to computational and storage constraints. In the last decade, the ``safe screening'' methods have become a powerful tool to reduce the dimension of these problems based on the knowledge of a ``safe region'' containing a dual optimal solution.
The first contribution of this thesis is a mathematical framework for creating new safe regions while demonstrating their superiority over the state-of-the-art. Our framework also provides an elegant way to unify existing safe regions. This contribution establishes a theoretical foundation for future advances in the study of safe regions.
The second contribution extends the safe screening methodology to problems in infinite dimensions. We show, in particular, that integrating this method into a state-of-the-art algorithm can significantly reduce its numerical complexity while preserving its convergence property. This contribution highlights the potential of safe screening to effectively address computational challenges in infinite-dimensional contexts.
About my contacts:
Email: letranthu23041996@gmail.com
My webpages:
Others:
About this webpage
This webpage is my peronal blog aiming to update my latest publications, share what I learned and many other information.
