Preprints

  1. Integral resolvent and proximal mixtures
    M. N. Bùi and P. L. Combettes
    November 2023
    arXiv
  2. Hilbert direct integrals of monotone operators
    M. N. Bùi and P. L. Combettes
    November 2023
    arXiv
  3. Interchange rules for integral functions
    M. N. Bùi and P. L. Combettes
    May 2023
    arXiv

Published/Accepted

2022

  1. Analysis and numerical solution of a modular convex Nash equilibrium problem
    M. N. Bùi and P. L. Combettes
    Journal of Convex Analysis, vol. 29, no. 4, pp. 1007–1021, December 2022
    pdf journal
  2. Block-activated algorithms for multicomponent fully nonsmooth minimization
    M. N. Bùi, P. L. Combettes, and Z. C. Woodstock
    Proceedings of the 2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, pp. 5428–5432. Singapore, May 22–27, 2022
    pdf
  3. Multivariate monotone inclusions in saddle form
    M. N. Bùi and P. L. Combettes
    Mathematics of Operations Research, vol. 47, no. 2, pp. 1082–1109, May 2022 (published online 2021-12-21)
    pdf journal
  4. Projective splitting as a warped proximal algorithm
    M. N. Bùi
    Applied Mathematics and Optimization, vol. 85, art. 4, 11 pp., April 2022
    pdf journal
  5. A decomposition method for solving multicommodity network equilibria
    M. N. Bùi
    Operations Research Letters, vol. 50, no. 1, pp. 40–44, January 2022
    pdf journal

2021

  1. Bregman forward-backward operator splitting
    M. N. Bùi and P. L. Combettes
    Set-Valued and Variational Analysis, vol. 29, no. 3, pp. 583–603, September 2021
    pdf journal

2020

  1. Warped proximal iterations for monotone inclusions
    M. N. Bùi and P. L. Combettes
    Journal of Mathematical Analysis and Applications, vol. 491, no. 1, art. 124315, 21 pp., November 2020
    pdf journal
  2. Applying FISTA to optimization problems (with or) without minimizers
    H. H. Bauschke, M. N. Bui, and X. Wang
    Mathematical Programming, vol. A184, no. 1, pp. 349–381, November 2020
    pdf journal
  3. The Douglas–Rachford algorithm converges only weakly
    M. N. Bùi and P. L. Combettes
    SIAM Journal on Control and Optimization, vol. 58, no. 2, pp. 1118–1120, April 2020
    pdf journal

2019

  1. On sums and convex combinations of projectors onto convex sets
    H. H. Bauschke, M. N. Bui, and X. Wang
    Journal of Approximation Theory, vol. 242, pp. 31–57, June 2019
    pdf journal

2018

  1. Projecting onto the intersection of a cone and a sphere
    H. H. Bauschke, M. N. Bui, and X. Wang
    SIAM Journal on Optimization, vol. 28, no. 3, pp. 2158–2188, August 2018
    pdf journal
  2. Error bounds for strongly monotone and Lipschitz continuous variational inequalities
    K. D. Pham and N. M. Bui
    Optimization Letters, vol. 12, pp. 971–984, July 2018
    pdf journal