411. Proximal Stabilized Interior Point Methods and Applications
Invited abstract in session WB-11: Interior point methods and applications - Part I, stream Interior point methods and applications.
Wednesday, 10:30-12:30Room: B100/5017
Authors (first author is the speaker)
| 1. | Stefano Cipolla
|
| School of Mathematical Sciences, University of Southampton | |
| 2. | Fabio Durastante
|
| Universita' di Pisa | |
| 3. | Jacek Gondzio
|
| School of Mathematics, University of Edinburgh | |
| 4. | Beatrice Meini
|
| Universita' di Pisa | |
| 5. | Filippo Zanetti
|
| School of Mathematics, University of Edinburgh |
Abstract
In this talk, we present recent advances in the use of Proximal-Stabilization techniques within Interior Point Methods, highlighting both theoretical developments and practical applications across a range of optimization problems. The talk is based on (chronological order):
[1] S. Cipolla and J. Gondzio. “Proximal Stabilized Interior Point Methods and Low-Frequency-Update Preconditioning Techniques”. In: J. Optim. Theory Appl. (2023)
[2] S. Cipolla, J. Gondzio, and F. Zanetti. “A regularized Interior Point Method for sparse Optimal Transport on Graphs”. In: European J. Oper. Res. (2024)
[3] S. Cipolla and J. Gondzio. “Proximal-Stabilized Semidefinite Programming”. In: Comput Optim Appl (2024)
[4] S. Cipolla, F. Durastante, and B. Meini. Enforcing Katz and PageRank
Centrality Measures in Complex Networks. 2025. arXiv: 2409.02524
Keywords
- Computational linear algebra
- Computational mathematical optimization
- Second- and higher-order optimization
Status: accepted
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