PhD thesis: Proximal decomposition methods for optimization problems with structure
pdf State University of Campinas, SP, Brazil – September 2023.
Honorable mention in the 2023 Best PhD Thesis award of the IMECC Graduate Program of Applied Mathematics.
Publications
F. Atenas. Understanding the Douglas-Rachford splitting method through the lenses of Moreau-type envelopes. Computational Optimization and Applications 90, 881-910 (2025).
W. van Ackooij, F. Atenas, C. Sagastizábal. Weak convexity and approximate subdifferentials. Journal of Optimization Theory and Applications 203, 1686–1709 (2024).
F. Atenas, C. Sagastizábal. A bundle-like progressive hedging algorithm. Journal of Convex Analysis 30(2), 453–479 (2023).
F. Atenas, C. Sagastizábal, P. J. Silva, M. Solodov. A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods. SIAM Journal on Optimization, 33(1), 89-115 (2023).
Working papers
F. Atenas, H. H. Bauschke, M. N. Dao, M. K. Tam. Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting. arXiv:2507.07428 (2025).
J.H. Alcantara, F. Atenas. A relaxed version of Ryu's three-operator splitting method for structured nonconvex optimization. arXiv:2504.07364 (2025).
F. Atenas, M. N. Dao, M. K. Tam. A distributed proximal splitting method with linesearch for locally Lipschitz data. arXiv:2410.15583 (2024).
F. Atenas. Weakly convex Douglas-Rachford splitting avoids strict saddle points. Optimization Online preprint (2024).
Unpublished technical reports
C. Luke, D. de Freitas, F. Atenas, L. Viola, T. Bello, C. Sagastizábal, J. P. Luna, A. Diniz, C. Sabóia, L. Cerqueira (2021). Impact of demand response programs in unit-commitment problems in energy optimization. Mathematics in Industry Reports (MIIR).