2022 Publications
- M. N. Bùi and P. L. Combettes, Analysis and numerical solution of a modular convex Nash equilibrium problem, Journal of Convex Analysis, vol. 29, no. 4, pp. 1007–1021, December 2022.
- M. N. Bùi and P. L. Combettes, Multivariate monotone inclusions in saddle form, Mathematics of Operations Research, vol. 47, no. 2, pp. 1082–1109, May 2022.
- P. L. Combettes and Z. C. Woodstock, A variational inequality model for the construction of signals from inconsistent nonlinear equations, SIAM Journal on Imaging Sciences, vol. 15, no. 1, pp. 84–109, January 2022.
- M. N. Bùi, P. L. Combettes, and Z. C. Woodstock, Block-activated algorithms for multicomponent fully nonsmooth minimization, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pp. 5428–5432. Singapore, May 22–27, 2022.
- P. L. Combettes and Z. C. Woodstock, Signal recovery from inconsistent nonlinear observations, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pp. 5872–5876. Singapore, May 22–27, 2022.
- R. Murray, N. Garcia Trillos, Adversarial classification: Necessary conditions and geometric flows. R. Murray, N. Garcia Trillos. JMLR 2022. preprint
- M. Molina-Fructuoso, R. Murray, Tukey depths and Hamilton-Jacobi Equations, SIAM Mathematics of Data Science, 2022. preprint
- N. Garcia Trillos, R. Murray, M. Thorpe, From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds. ARMA, 2022. preprint
- L. Bungert, N. Garcia Trillos, R. Murray, The geometry of adversarial training in binary classification, Information and Inference, 2022. preprint
- A. Marigonda and Khai T. Nguyen, Solutions to a system of first order H-J equations related to a debt management problem, NoDEA Nonlinear Differential Equations Appl. 29 (2022), no.4, Paper No. 48, 34 pp.
- Bressan, Alberto; Galtung, Sondre T.; Grunert, Katrin; Nguyen, Khai T., Shock interactions for the Burgers-Hilbert Equation, Communications in Partial Differential Equations 47 (2022), no 9., 1795–1844
- Bianchini, Stefano; Dutta, Prerona; Nguyen, Khai T., Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian, SIAM Journal on Mathematical Analysis 54 (2022), no. 5, 5551–5575
- Alan Chang, Jaume de Dios Pont, Rachel Greenfeld, Asgar Jamneshan, José Madrid, Zane Li, Decoupling for fractal subsets of the parabola, Mathematische Zeitschrift 301 (2022), 1851–1879. DOI: 10.1007/s00209-021-02950-0
- Erik Bates and Youngtak Sohn, Free energy in multi-species mixed p-spin spherical models. Electron. J. Probab. 27 (2022), paper no. 52, 75
- Erik Bates and Youngtak Sohn, Crisanti–Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses. Comm. Math. Phys. 394 (2022), no. 3, 1101–1152.
- D. Norgilas and D. Hobson, A construction of the left-curtain coupling, 2022. Electronic Journal of Probability 27:1-46
- M. Beiglboeck and D. Hobson, The potential of the shadow measure, Electronic Communications in Probability 27(16):1-12, 2022.