Generalized pattern searches with derivative information. - Mark A. Abramson; Charles Audet; John E. Dennis Jr. (Math. Program., 2004)

Second-Order Behavior of Pattern Search. - Mark A. Abramson (SIAM J. Optim., 2005)

Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points. - Mark A. Abramson; Charles Audet (SIAM J. Optim., 2006)

Pattern search in the presence of degenerate linear constraints. - Mark A. Abramson; Olga Brezhneva; John E. Dennis Jr.; Rachael L. Pingel (Optim. Methods Softw., 2008)

Quantitative Object Reconstruction Using Abel Transform X-Ray Tomography and Mixed Variable Optimization. - Mark A. Abramson; Thomas J. Asaki; John E. Dennis Jr.; Kevin R. O'Reilly; Rachael L. Pingel (SIAM J. Imaging Sci., 2008)

Pattern search ranking and selection algorithms for mixed variable simulation-based optimization. - Todd A. Sriver; James W. Chrissis; Mark A. Abramson (Eur. J. Oper. Res., 2009)

Mesh adaptive direct search algorithms for mixed variable optimization. - Mark A. Abramson; Charles Audet; James W. Chrissis; Jennifer G. Walston (Optim. Lett., 2009)

OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions. - Mark A. Abramson; Charles Audet; John E. Dennis Jr.; Sébastien Le Digabel (SIAM J. Optim., 2009)

A subclass of generating set search with convergence to second-order stationary points. - Mark A. Abramson; Lennart Frimannslund; Trond Steihaug (Optim. Methods Softw., 2014)

Penetration Depth Between Two Convex Polyhedra: An Efficient Stochastic Global Optimization Approach. - Mark A. Abramson; Griffin D. Kent; Gavin W. Smith (IEEE Trans. Vis. Comput. Graph., 2022)

Branch and Bound to Assess Stability of Regression Coefficients in Uncertain Models. - Brian Knaeble; R. Mitchell Hughes; George Rudolph; Mark A. Abramson; Daniel Razo (CoRR, 2024)