Research

Publications (and preprints) in reverse chronological order.

Preprints

  • A proximal subgradient method for nonconvex stochastic optimization under the Kurdyka–Łojasiewicz condition
    Felipe Atenas, Alejandro Jofré, Pedro Pérez-Aros, and David Torregrosa-Belén
    (available soon)

  • Variable stepsize distributed forward-backward splitting methods as relocated fixed-point iterations
    Felipe Atenas, Minh N Dao, and Matthew K Tam
    arXiv preprint arXiv:2601.15531, 2026
    [preprint]

  • Shadow splitting methods for nonconvex optimisation: epi-approximation, convergence and saddle point avoidance Felipe Atenas
    arXiv preprint arXiv:2512.20433, 2025
    [preprint]

  • Linear convergence of relocated fixed-point iterations
    Felipe Atenas, Farhana Ahmed Simi, and Matthew K Tam
    arXiv preprint arXiv:2512.12954, 2025
    [preprint]

  • A relaxed version of Ryu’s three-operator splitting method for structured nonconvex optimization
    Jan Harold Alcantara and Felipe Atenas
    To appear in MATRIX Annals
    [preprint]

Publications

  1. Relocated fixed-point iterations with applications to variable stepsize resolvent splitting
    Felipe Atenas, Heinz H Bauschke, Minh N Dao, and Matthew K Tam
    SIAM Journal on Optimization, 36(3), 1297-1325, 2026
    [publication] [ePrint (free access)]
  2. A distributed proximal splitting method with linesearch for locally Lipschitz gradients
    Felipe Atenas, Minh N Dao, and Matthew K Tam
    Journal of Global Optimization, 2025
    [publication] [preprint]
  3. Understanding the Douglas–Rachford splitting method through the lenses of Moreau-type envelopes
    Felipe Atenas
    Computational Optimization and Applications 90, 881–910, 2025
    [publication] [preprint]
  4. Weak convexity and approximate subdifferentials
    Wim Ackooij, Felipe Atenas, and Claudia Sagastizábal
    Journal of Optimization Theory and Applications 203, 1686–1709, 2024
    [publication] [preprint]
  5. A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods
    Felipe Atenas, Claudia Sagastizábal, Paulo JS Silva, and Mikhail Solodov
    SIAM Journal on Optimization 33(1), 89-115, 2023
    [publication] [preprint]
  6. A bundle-like progressive hedging algorithm
    Felipe Atenas and Claudia Sagastizábal
    Journal of Convex Analysis, 30(2), 453-479, 2023
    [publication] [preprint]

PhD Thesis

  • Proximal decomposition methods for optimization problems with structure (Métodos de decomposição proximal para problemas de otimização com estrutura)
    Felipe Atenas, 2023
    [thesis]

Technical reports

  • Impact of demand response programs in unit-commitment problems in energy optimization
    Caio Costa de Barros Pimentel Luke, Danielle Freitas, Felipe Atenas, Luigi Viola, Tiago Lino Bello, Claudia Sagastizábal, Juan Pablo Luna, André Luiz Diniz, Carlos Henrique Sabóia, and Luı́s Fernando Cerqueira. Mathematics in Industry Reports, 2021
    [report]