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Computational methods in optimization

Grant number: 18/24293-0
Support type:Research Projects - Thematic Grants
Duration: April 01, 2019 - March 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal researcher:Sandra Augusta Santos
Grantee:Sandra Augusta Santos
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Pesquisadores principais:
Ernesto Julián Goldberg Birgin ; Gabriel Haeser ; José Mário Martinez Perez ; Paulo José da Silva e Silva ; Roberto Andreani
Assoc. researchers:Fedor Pisnitchenko ; Francisco de Assis Magalhães Gomes Neto ; Leandro Martinez ; Lucio Tunes dos Santos ; Luis Felipe Cesar da Rocha Bueno ; Maria Aparecida Diniz Ehrhardt ; Thadeu Alves Senne
Associated grant(s):20/04585-7 - Development of efficient methods for conic linear and nonlinear optimization problems and their applications, AV.EXT
19/14873-2 - XIII Brazilian Workshop on Continuous Optimization, AR.BR
Associated scholarship(s):22/10506-8 - Partially smooth minimization of non-smooth functions and applications to linear inverse problems, BP.MS
22/00380-7 - Convex optimization and extensions applied in Data Science, BP.PD
22/06745-7 - Augmented Lagrangian methods for constrained optimization using differentiable exact penalty, BP.DR
+ associated scholarships 22/00443-9 - Multistate risk averse stochastic problems, BP.PD
21/12657-0 - Study on a family of methods with theoretical properties of conjugate gradients for quadratic functions, BP.IC
21/04979-8 - Sequential optimality conditions for nonlinear symmetric cone programming, BP.PD
21/05007-0 - Numerical methods for Nash equilibrium problems with descent criteria, BP.PD
21/05168-3 - A continuous optimization approach to the tessellation generation problem, BP.PD
21/05499-0 - Estimates of parameters in models under real conditions, BP.PD
20/12455-6 - Inexact restoration methods applied to topology optimization, BP.MS
20/14969-7 - Minimization of the volume of structures using topology optimization, BP.IC
20/13946-3 - On accelerated first-order methods for smooth minimization, BP.IC
20/00521-4 - On level-set based methods for structural topology optimization, BP.MS
19/25258-7 - A nonlinear optimization approach to the covering problem, BP.PD
19/24339-3 - On the performance of computer methods for ordinary differential equations, BP.IC
19/15992-5 - Proximal methods and regularization, BP.IC
19/13420-4 - Optimization methods applied to neural networks for anomaly detection in credit card transactions, BP.IC
19/18859-4 - A continuous optimization method with stopping criterion based on a new sequential optimality condition, BP.DD
19/13096-2 - Complementarity measures in optimality conditions, BP.DD
16/22989-2 - A sampling method for constrained nonsmooth optimization problems, BP.PD - associated scholarships

Abstract

Our group has been active in the Brazilian scientific environment for 40 years, being is sensitive to new trends and modern applications of Optimization. Over the years, this group, funded by successive FAPESP thematic projects, has made significant contributions in areas involving decomposition methods, quasi-Newton methods, sequential quadratic programming, augmented Lagrangian methods, inexact restoration, large scale problems, sequential optimality conditions, derivative-free optimization, algorithmic complexity, image reconstruction and machine learning, among others. The experience accumulated along the years, as well as the incorporation and renewal of the research team, enable us to tackle problems in which the objective function is difficult, impossible to evaluate, or of questionable existence; the number of variables is enormous or unknown, and finally, the uncertainty extends to the constraints. Addressing these problems necessarily requires interdisciplinary approaches and the desired impact is at the same time scientific, economic and social. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (38)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DORAISWAMY, HARISH; TIERNY, JULIEN; SILVA, PAULO J. S.; NONATO, LUIS GUSTAVO; SILVA, CLAUDIO. TopoMap: A 0-dimensional Homology Preserving Projection of High-Dimensional Data. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, v. 27, n. 2, p. 561-571, . (18/07551-6, 13/07375-0, 16/04190-7, 18/24293-0)
ANDREANI, R.; FUKUDA, E. H.; HAESER, G.; RAMIREZ, H.; SANTOS, D. O.; SILVA, P. J. S.; SILVEIRA, T. P.. rratum to: New Constraint Qualifications and Optimality Conditions for Second Order Cone Program. Set-Valued and Variational Analysis, v. 30, n. 1, . (17/12187-9, 17/18308-2, 18/24293-0, 13/07375-0)
CALDERON, L.; DINIZ-EHRHARDT, M. A.; MARTINEZ, J. M.. On high-order model regularization for multiobjective optimization. OPTIMIZATION METHODS & SOFTWARE, . (13/07375-0, 18/24293-0)
DE OLIVEIRA, IVAN PIRES; MARTINEZ, LEANDRO. The shift in urea orientation at protein surfaces at low pH is compatible with a direct mechanism of protein denaturation. Physical Chemistry Chemical Physics, v. 22, n. 1, p. 354-367, . (17/02201-4, 18/24293-0, 10/16947-9, 13/08293-7)
DINIZ-EHRHARDT, M. A.; FERREIRA, D. G.; SANTOS, S. A.. Applying the pattern search implicit filtering algorithm for solving a noisy problem of parameter identification. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, . (13/12964-4, 18/24293-0, 13/07375-0)
BIRGIN, ERNESTO G.; GOMEZ, WALTER; HAESER, GABRIEL; MITO, LEONARDO M.; SANTOS, DAIANA O.. An Augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problem. COMPUTATIONAL & APPLIED MATHEMATICS, v. 39, n. 1, . (16/16999-5, 13/05475-7, 17/17840-2, 18/24293-0, 17/18308-2)
BIRGIN, E. G.; BUENO, L. F.; MARTINEZ, J. M.. On the complexity of solving feasibility problems with regularized models. OPTIMIZATION METHODS & SOFTWARE, . (13/07375-0, 18/24293-0, 16/01860-1)
BUENO, L. F.; HAESER, G.; LARA, F.; ROJAS, F. N.. An Augmented Lagrangian method for quasi-equilibrium problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 76, n. 3, SI, p. 737-766, . (13/05475-7, 18/24293-0, 17/18308-2)
DINIZ-EHRHARDT, M. A.; FERREIRA, D. G.; SANTOS, S. A.. Applying the pattern search implicit filtering algorithm for solving a noisy problem of parameter identification. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 76, n. 3, SI, p. 835-866, . (13/07375-0, 18/24293-0, 13/12964-4)
BUENO, LUIS FELIPE; MARTINEZ, JOSE MARIO. ON THE COMPLEXITY OF AN INEXACT RESTORATION METHOD FOR CONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 30, n. 1, p. 80-101, . (15/02528-8, 18/24293-0)
ANDREANI, R.; FUKUDA, E. H.; HAESER, G.; SANTOS, D. O.; SECCHIN, L. D.. On the use of Jordan Algebras for improving global convergence of an Augmented Lagrangian method in nonlinear semidefinite programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 79, n. 3, p. 633-648, . (13/07375-0, 18/24293-0, 17/18308-2)
HELOU, ELIAS S.; SANTOS, SANDRA A.; SIMOES, LUCAS E. A.. Analysis of a New Sequential Optimality Condition Applied to Mathematical Programs with Equilibrium Constraints. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 185, n. 2, . (13/07375-0, 18/24293-0, 16/22989-2)
BUENO, LUIS FELIPE; HAESER, GABRIEL; SANTOS, LUIZ-RAFAEL. Towards an efficient augmented Lagrangian method for convex quadratic programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, . (17/18308-2, 15/02528-8, 18/24293-0)
DOS SANTOS, RICARDO N.; BOTTINO, GUILHERME F.; GOZZO, FABIO C.; MORCOS, FARUCK; MARTINEZ, LEANDRO. Structural complementarity of distance constraints obtained from chemical cross-linking and amino acid coevolution. PROTEINS-STRUCTURE FUNCTION AND BIOINFORMATICS, v. 88, n. 4, . (18/14274-9, 10/16947-9, 15/13667-9, 18/24293-0, 13/08293-7, 14/17264-3)
HAESER, G.; RAMOS, A.. New Constraint Qualifications with Second-Order Properties in Nonlinear Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, . (13/05475-7, 18/24293-0, 17/18308-2)
LUNARDI, WILLIAN T.; BIRGIN, ERNESTO G.; LABORIE, PHILIPPE; RONCONI, DEBORA P.; VOOS, HOLGER. Mixed Integer linear programming and constraint programming models for the online printing shop scheduling problem. Computers & Operations Research, v. 123, . (13/07375-0, 18/24293-0, 16/01860-1)
BIRGIN, E. G.; MARTINEZ, J. M.. Complexity and performance of an Augmented Lagrangian algorithm. OPTIMIZATION METHODS & SOFTWARE, v. 35, n. 5, SI, p. 885-920, . (18/24293-0, 13/07375-0, 16/01860-1)
ANDREANI, ROBERTO; GOMEZ, WALTER; HAESER, GABRIEL; MITO, LEONARDO M.; RAMOS, ALBERTO. On Optimality Conditions for Nonlinear Conic Programming. MATHEMATICS OF OPERATIONS RESEARCH, p. 1-26, . (17/17840-2, 17/18308-2, 13/07375-0, 13/05475-7, 18/24293-0)
BUENO, LUIS FELIPE; HAESER, GABRIEL; SANTOS, LUIZ-RAFAEL. Towards an efficient augmented Lagrangian method for convex quadratic programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 76, n. 3, SI, p. 767-800, . (18/24293-0, 17/18308-2, 15/02528-8)
BIRGIN, E. G.; MARTINEZ, J. M.. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 73, n. 3, p. 707-753, . (13/07375-0, 13/05475-7, 18/24293-0, 16/01860-1)
BORTOLETE, J. C.; BUENO, L. F.; BUTKERAITES, R.; CHAVES, A. A.; COLLACO, G.; MAGUETA, M.; PELOGIA, F. J. R.; SALLES NETO, L. L.; SANTOS, T. S.; SILVA, T. S.; et al. A support tool for planning classrooms considering social distancing between students. COMPUTATIONAL & APPLIED MATHEMATICS, v. 41, n. 1, . (16/01860-1, 19/13420-4, 18/24293-0, 13/07375-0)
LUNARDI, WILLIAN T.; BIRGIN, ERNESTO G.; RONCONI, DEBORA P.; VOOS, HOLGER. Metaheuristics for the online printing shop scheduling problem. European Journal of Operational Research, v. 293, n. 2, p. 419-441, . (16/01860-1, 18/24293-0, 13/07375-0)
SILVA, PAULO J. S.; SAGASTIZABAL, CLAUDIA; NONATO, LUIS GUSTAVO; STRUCHINER, CLAUDIO JOSE; PEREIRA, TIAGO. Optimized delay of the second COVID-19 vaccine dose reduces ICU admissions. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, v. 118, n. 35, . (18/24293-0, 13/07375-0)
MARTINEZ, J. M.; SANTOS, L. T.. On large-scale unconstrained optimization and arbitrary regularization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 81, n. 1, . (18/24293-0, 13/07375-0)
ANDREANI, ROBERTO; HAESER, GABRIEL; MITO, LEONARDO M.; RAMOS, ALBERTO; SECCHIN, LEONARDO D.. On the best achievable quality of limit points of augmented Lagrangian schemes. NUMERICAL ALGORITHMS, . (13/07375-0, 18/24293-0, 17/17840-2, 17/18308-2)
PICCOLI, VINICIUS; MARTINEZ, LEANDRO. Correlated counterion effects on the solvation of proteins by ionic liquids. JOURNAL OF MOLECULAR LIQUIDS, v. 320, n. A, . (18/24293-0, 10/16947-9, 13/08293-7)
HELOU, ELIAS S.; SANTOS, SANDRA A.; SIMOES, LUCAS E. A.. A NEW SEQUENTIAL OPTIMALITY CONDITION FOR CONSTRAINED NONSMOOTH OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 30, n. 2, p. 1610-1637, . (17/07265-0, 13/07375-0, 18/24293-0, 16/22989-2)
SILVA, PAULO J. S.; PEREIRA, TIAGO; SAGASTIZABAL, CLAUDIA; NONATO, LUIS; CORDOVA, MARCELO M.; STRUCHINER, CLAUDIO J.. mart testing and critical care bed sharing for COVID-19 contro. PLoS One, v. 16, n. 10, . (15/04451-2, 13/07375-0, 18/24293-0)
BIRGIN, E. G.; MARTINEZ, J. M.. ccelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficient. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 81, n. 3, p. 689-715, . (16/01860-1, 13/07375-0, 18/24293-0)
BUENO, L. F.; HAESER, G.; LARA, F.; ROJAS, F. N.. An Augmented Lagrangian method for quasi-equilibrium problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, . (17/18308-2, 13/05475-7, 18/24293-0)
ARMENDARIZ, INES; FERRARI, PABLO A.; FRAIMAN, DANIEL; MARTINEZ, JOSE M.; MENZELLA, HUGO G.; PONCE DAWSON, SILVINA. Nested pool testing strategy for the diagnosis of infectious diseases. SCIENTIFIC REPORTS, v. 11, n. 1, . (16/01860-1, 13/07375-0, 18/24293-0)
BIRGIN, E. G.; MARTINEZ, J. M.; RAMOS, A.. On constrained optimization with nonconvex regularization. NUMERICAL ALGORITHMS, v. 86, n. 3, . (16/01860-1, 13/07375-0, 18/24293-0)
BIRGIN, E. G.; GARDENGHI, J. L.; MARTINEZ, J. M.; SANTOS, S. A.. On the solution of linearly constrained optimization problems by means of barrier algorithms. Top, v. 29, n. 2, . (12/05725-0, 13/07375-0, 18/24293-0)
BIRGIN, E. G.; LAURAIN, A.; MASSAMBONE, R.; SANTANA, A. G.. SHAPE OPTIMIZATION APPROACH TO THE PROBLEM OF COVERING A TWO-DIMENSIONAL REGION WITH MINIMUM-RADIUS IDENTICAL BALLS. SIAM JOURNAL ON SCIENTIFIC COMPUTING, v. 43, n. 3, p. A2047-A2078, . (18/24293-0, 16/01860-1, 13/07375-0, 19/25258-7)
SONORA, MARTIN; MARTINEZ, LEANDRO; PANTANO, SERGIO; MACHADO, MATIAS R.. Wrapping Up Viruses at Multiscale Resolution: Optimizing PACKMOL and SIRAH Execution for Simulating the Zika Virus. JOURNAL OF CHEMICAL INFORMATION AND MODELING, v. 61, n. 1, p. 408-422, . (10/16947-9, 13/08293-7, 18/14274-9, 18/24293-0)
LOPEZ, ALVARO J.; BARROS, EMILIA P.; MARTINEZ, LEANDRO. On the Interpretation of subtilisin Carlsberg Time-Resolved Fluorescence Anisotropy Decays: Modeling with Classical Simulations. JOURNAL OF CHEMICAL INFORMATION AND MODELING, v. 60, n. 2, p. 747-755, . (13/08293-7, 10/16947-9, 18/24293-0)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.