Main research interests
My main research interest are convex and nonlinear optimization and its extensions, like nonlinear complementarity problems or variational inequalities. On these subjects I study the proximal point method and algorithms based on penalties and duality, like multiplier methods and differentiable exact penalties.
I am also interested on applications of optimization and support vector machines to pattern recognition, with special interest on bioinformatics, like the analysis of gene expression data.
In the radar
Nowadays I am working on using DC programming to develop robust Support Vector Machines and on using a spectral proximal gradient method to solve problems in image processing. You can expect preprints on these subject here soon.
Preprints

Andreani, Haeser, Schuverdt, Secchin, Silva, Optimization Online 2020.

Luna, Sagastizábal, Silva, Optimization Online, 2020.

Papers

Doraiswamy, H.; Tierny, J.; Silva, P. J. S.; Nonato, L. G.; Silva, C. IEEE Transactions on Visualization and Computer Graphics, 2020.

Lopes, Santos, and Silva, Computational Optimization and Applications, 2019.

Andreani, Martínez, Ramos, and Silva, Mathematics of Operations Research, 2018.

Andreani, Haeser, Ramos, and Silva, IMA Journal of Numerical Analisys, 2017.

Andreani, Behling, Haeser, Silva. Optimization Methods & Software, 2016.

Andreani, Martinez, Ramos, Silva. SIAM Journal on Optimization, 2016.

Cominetti, Mascarenhas, and Silva. Mathematical Programming Computations, 2016.

Eckstein and Silva. Mathematical Programming (series A), 2013.

Andreani, Fukuda, and Silva. Journal of Optimization Theory and Applications, 2013.

Fukuda, Silva, and Fukushima. SIAM Journal on Optimization, 2012.

Andreani, Haeser, Schuverdt, and Silva. SIAM Journal on Optimization, 2012.

Andreani, Haeser, Schuverdt, and Silva. Mathematical Programming (series A), 2012.

Eckstein and Silva. Computational Optimization and Applications, 2010.

Auslender, Teboulle, and Silva. Computational Optimization and Applications, 2007.

Silva and Humes. RAIRO Operations Research, 2007.

Dellamonica et al., IEEE Transactions of Image Processing, 2007.

Silva and Eckstein, Computation Optimization and Applications, 2006.

Silva et al. Pattern Recognition Letters, 2005.

Carlos Humes Jr. and Paulo J. S. Silva. Optimization and Engineering, 2005.

Alfred Goldman, Fabio Kon, Paulo J. S. Silva and Joseph W. Yoder. Journal of the Brazilian Computer Society, 2004.

Sabine Broda, Luı́s Damas, Marcelo Finger, and Paulo J. S. Silva. Theoretical Computer Science, 2004.

Carlos HumesJr., Paulo J.S. Silva, Benar F. Svaiter. Numerical Algorithms, 2004.

Regina S. Burachik, Susana Scheimberg, and Paulo J. S. Silva. Journal of Mathematical Analysis and Applications, 2003.

Paulo J. S. Silva, Jonathan Eckstein, and Carlos Humes Jr. SIAM Journal on Optimization, 2001.

Paulo J. S. Silva, Marcelo Queiroz, Carlos Humes Jr. Computational And Applied Mathematics, 2000.

Carlos Humes Jr. and Paulo J. S. Silva. RAIRO Operations Research, 2000.