Strict convex regularizations, proximal points and augmented lagrangians. - Carlos Humes Jr.; Paulo José da Silva e Silva (RAIRO Oper. Res., 2000)

Rescaling and Stepsize Selection in Proximal Methods Using Separable Generalized Distances. - Paulo José da Silva e Silva; Jonathan Eckstein; Carlos Humes Jr. (SIAM J. Optim., 2001)

Being Extreme in the Classroom: Experiences Teaching XP. - Alfredo Goldman; Fabio Kon; Paulo J. S. Silva; Joseph W. Yoder (J. Braz. Comput. Soc., 2004)

Some Inexact Hybrid Proximal Augmented Lagrangian Algorithms. - Carlos Humes Jr.; Paulo J. S. Silva; Benar Fux Svaiter (Numer. Algorithms, 2004)

The decidability of a fragment of BB'IW-logic. - Sabine Broda; Luís Damas; Marcelo Finger; Paulo Silva e Silva (Theor. Comput. Sci., 2004)

Feature selection algorithms to find strong genes. - Paulo J. S. Silva; Ronaldo Fumio Hashimoto; Seungchan Kim; Junior Barrera; Leônidas de Oliveira Brandão; Edward Suh; Edward R. Dougherty (Pattern Recognit. Lett., 2005)

Double-Regularization Proximal Methods, with Complementarity Applications. - Paulo J. S. Silva; Jonathan Eckstein (Comput. Optim. Appl., 2006)

A feature selection approach for identification of signature genes from SAGE data. - Junior Barrera; Roberto Marcondes Cesar Junior; Carlos Humes Jr.; David Correa Martins Jr.; Diogo F. C. Patrão; Paulo J. S. Silva; Helena Paula Brentani (BMC Bioinform., 2007)

Nonmonotone projected gradient methods based on barrier and Euclidean distances. - Alfred Auslender; Paulo J. S. Silva; Marc Teboulle (Comput. Optim. Appl., 2007)

Rescaled proximal methods for linearly constrained convex problems. - Paulo J. S. Silva; Carlos Humes Jr. (RAIRO Oper. Res., 2007)

An Exact Algorithm for Optimal MAE Stack Filter Design. - Domingos Dellamonica Jr.; Paulo J. S. Silva; Carlos Humes Jr.; Nina S. T. Hirata; Junior Barrera (IEEE Trans. Image Process., 2007)

Revealing temporal genetic regulatory networks from steady-state distributions. - David Correa Martins Jr.; Evaldo Araújo de Oliveira; Paulo J. S. Silva; Ronaldo Fumio Hashimoto; Roberto Marcondes Cesar Jr. (GENSiPS, 2009)

Exact penalties for variational inequalities with applications to nonlinear complementarity problems. - Thiago A. de André; Paulo J. S. Silva (Comput. Optim. Appl., 2010)

Proximal methods for nonlinear programming: double regularization and inexact subproblems. - Jonathan Eckstein; Paulo J. S. Silva (Comput. Optim. Appl., 2010)

A relaxed constant positive linear dependence constraint qualification and applications. - Roberto Andreani; Gabriel Haeser; María Laura Schuverdt; Paulo J. S. Silva (Math. Program., 2012)

Two New Weak Constraint Qualifications and Applications. - Roberto Andreani; Gabriel Haeser; María Laura Schuverdt; Paulo J. S. Silva (SIAM J. Optim., 2012)

Differentiable Exact Penalty Functions for Nonlinear Second-Order Cone Programs. - Ellen H. Fukuda; Paulo J. S. Silva; Masao Fukushima (SIAM J. Optim., 2012)

A Gauss-Newton Approach for Solving Constrained Optimization Problems Using Differentiable Exact Penalties. - Roberto Andreani; Ellen H. Fukuda; Paulo J. S. Silva (J. Optim. Theory Appl., 2013)

A practical relative error criterion for augmented Lagrangians. - Jonathan Eckstein; Paulo J. S. Silva (Math. Program., 2013)

A Newton's method for the continuous quadratic knapsack problem. - Roberto Cominetti; Walter F. Mascarenhas; Paulo J. S. Silva (Math. Program. Comput., 2014)

A Cone-Continuity Constraint Qualification and Algorithmic Consequences. - Roberto Andreani; José Mario Martínez; Alberto Ramos 001; Paulo J. S. Silva (SIAM J. Optim., 2016)

On second-order optimality conditions in nonlinear optimization. - Roberto Andreani; Roger Behling; Gabriel Haeser; Paulo J. S. Silva (Optim. Methods Softw., 2017)

Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization. - Roberto Andreani; José Mario Martínez; Alberto Ramos 001; Paulo J. S. Silva (Math. Oper. Res., 2018)

Convergence Properties of a Second Order Augmented Lagrangian Method for Mathematical Programs with Complementarity Constraints. - Roberto Andreani; Leonardo D. Secchin; Paulo J. S. Silva (SIAM J. Optim., 2018)

Accelerating block coordinate descent methods with identification strategies. - Ronaldo Lopes; Sandra A. Santos 001; Paulo J. S. Silva (Comput. Optim. Appl., 2019)

New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences. - Roberto Andreani; Gabriel Haeser; Leonardo D. Secchin; Paulo J. S. Silva (SIAM J. Optim., 2019)

TopoMap: A 0-dimensional Homology Preserving Projection of High-Dimensional Data. - Harish Doraiswamy; Julien Tierny; Paulo J. S. Silva; Luis Gustavo Nonato; Cláudio T. Silva (IEEE Trans. Vis. Comput. Graph., 2021)

Robot Dance: A mathematical optimization platform for intervention against COVID-19 in a complex network. - Luis Gustavo Nonato; Pedro S. Peixoto; Tiago Pereira; Claudia A. Sagastizábal; Paulo J. S. Silva (EURO J. Comput. Optim., 2022)

On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees. - Roberto Andreani; Gabriel Haeser; María Laura Schuverdt; Leonardo D. Secchin; Paulo J. S. Silva (Math. Program. Comput., 2022)

A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods. - Felipe Atenas; Claudia A. Sagastizábal; Paulo J. S. Silva; Mikhail V. Solodov (SIAM J. Optim., 2023)