Alarie, S., Audet, C., Diago, M., Le Digabel, S., & Lebeuf, X. (2025). Inter-DS: a cost saving algorithm for expensive constrained multi-fidelity blackbox optimization. Computational Optimization and Applications, 23 pages.
Directory of Experts
Audet, Charles

Directory of Experts
Audet, Charles
Directory of Experts
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Journal article (116)
Conference paper (9)
Book (2)
Book chapter (12)
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Charles Audet (259)
- Journal articles (116)
- 2025
Journal article Journal article Andrés-Thió, N., Audet, C., Diago, M., Gheribi, A. E., Le Digabel, S., Lebeuf, X., Lemyre Garneau, M., & Tribes, C. (2025). Solar: a solar thermal power plant simulator for blackbox optimization benchmarking. Optimization and Engineering, 47 pages.
- 2024
Journal article Audet, C., Bouchet, P.-Y., & Bourdin, L. (2024). Convergence towards a local minimum by direct search methods with a covering step. Optimization Letters, -.Journal article Audet, C., Bouchet, P.-Y., & Bourdin, L. (2024). Counterexample and an additional revealing poll step for a result of “analysis of direct searches for discontinuous functions". Mathematical Programming, 208(1-2), 411-424.
- 2023
Journal article Audet, C., Hallé-Hannan, E., & Le Digabel, S. (2023). A General Mathematical Framework for Constrained Mixed-variable Blackbox Optimization Problems with Meta and Categorical Variables. Operations Research Forum, 4(1), 37 pages.Journal article Kojtych, S., Nyssen, F., Audet, C., & Batailly, A. (2023). Methodology for the Redesign of Compressor Blades Undergoing Nonlinear Structural Interactions: Application to Blade-tip/casing Contacts. Journal of Engineering for Gas Turbines and Power, 145(5), 22-1332 (11 pages).Journal article Audet, C., Bigeon, J., Couderc, R., & Kokkolaras, M. (2023). Sequential stochastic blackbox optimization with zeroth-order gradient estimators. AIMS Mathematics, 8(11), 25922-25956.Journal article Kojtych, S., Audet, C., & Batailly, A. (2023). Two-Way Blade Modeling Method for Structural Redesign of Compressor Blades. AIAA Journal, 20 pages.
- 2022
Journal article Audet, C., Le Digabel, S., Rochon Montplaisir, V., & Tribes, C. (2022). Algorithm 1027: NOMAD Version 4: Nonlinear Optimization with the MADS Algorithm. ACM Transactions on Mathematical Software, 48(3), 1-22.Journal article Audet, C., Messine, F., & Ninin, J. (2022). Correction to: Numerical certification of Pareto optimality for biobjective nonlinear problems (Jan, 10.1007/s10898-022-01127-1, 2022). Journal of Global Optimization, 83(4), 909-910.Journal article Audet, C., Batailly, A., & Kojtych, S. (2022). Escaping Unknown Discontinuous Regions in Blackbox Optimization. SIAM Journal on Optimization, 32(3), 1843-1870.Journal article Alarie, S., Audet, C., Jacquot, P., & Le Digabel, S. (2022). Hierarchically constrained blackbox optimization. Operations Research Letters, 50(4), 446-451.Journal article Audet, C., Messine, F., & Ninin, J. (2022). Numerical certification of Pareto optimality for biobjective nonlinear problems. Journal of Global Optimization, 83(4), 891-908.Journal article Audet, C., Le Digabel, S., & Saltet, R. (2022). Quantifying uncertainty with ensembles of surrogates for blackbox optimization. Computational Optimization and Applications, 83(1), 29-66.Journal article Bingane, C., & Audet, C. (2022). The equilateral small octagon of maximal width. Mathematics of computation, 91(336), 2027-2040.Journal article Bingane, C., & Audet, C. (2022). Tight bounds on the maximal perimeter of convex equilateral small polygons. Archiv der Mathematik, 119(3), 325-336.
- 2021
Journal article Audet, C., Bigeon, J., & Couderc, R. (2021). Combining Cross-Entropy and MADS Methods for Inequality Constrained Global Optimization. Operations Research Forum, 2(3), 26 pages.Journal article Alarie, S., Audet, C., Bouchet, P.-Y., & Le Digabel, S. (2021). Optimization of stochastic blackboxes with adaptive precision. SIAM Journal on Optimization, 31(4), 3127-3156.Journal article Audet, C., Bigeon, J., Cartier, D., Le Digabel, S., & Salomon, L. (2021). Performance indicators in multiobjective optimization. European Journal of Operational Research, 292(2), 397-422.Journal article Audet, C., Dzahini, K. J., Kokkolaras, M., & Le Digabel, S. (2021). Stochastic mesh adaptive direct search for blackbox optimization using probabilistic estimates. Computational Optimization and Applications, 79(1), 1-34.Journal article Alarie, S., Audet, C., Gheribi, A. E., Kokkolaras, M., & Le Digabel, S. (2021). Two decades of blackbox optimization applications. EURO Journal on Computational Optimization, 9, 100011 (13 pages).
- 2020
Journal article Audet, C., Caporossi, G., & Jacquet, S. (2020). Binary, unrelaxable and hidden constraints in blackbox optimization. Operations Research Letters, 48(4), 467-471.Journal article Audet, C., Caporossi, G., & Jacquet, S. (2020). Constraint scaling in the mesh adaptive direct search algorithm. Pacific Journal of Optimization, 16, 595-610.Journal article Audet, C., Côté, P., Poissant, C., & Tribes, C. (2020). Monotonic grey box direct search optimization. Optimization Letters, 14(1), 3-18.Journal article Audet, C., Hansen, P., & Svrtan, D. (2020). Using symbolic calculations to determine largest small polygons. Journal of Global Optimization, 81(1), 261-268.
- 2019
Journal article Huot, P.-L., Poulin, A., Audet, C., & Alarie, S. (2019). A hybrid optimization approach for efficient calibration of computationally intensive hydrological models. Hydrological Sciences Journal, 64(10), 1204-1222.Journal article Audet, C., & Côté-Massicotte, J. (2019). Dynamic improvements of static surrogates in direct search optimization. Optimization Letters, 13(6), 1433-1447.Journal article Audet, C., Le Digabel, S., & Tribes, C. (2019). The mesh adaptive direct search algorithm for granular and discrete variables. SIAM Journal on Optimization, 29(2), 1164-1189.
- 2018
Journal article Audet, C., & Hare, W. (2018). Algorithmic construction of the subdifferential from directional derivatives. Set-Valued and Variational Analysis, 26(3), 431-447.Journal article Audet, C., Conn, A. R., Le Digabel, S., & Peyrega, M. (2018). A progressive barrier derivative-free trust-region algorithm for constrained optimization. Computational Optimization and Applications, 71(2), 307-329.Journal article Amaioua, N., Audet, C., Conn, A. R., & Le Digabel, S. (2018). Efficient solution of quadratically constrained quadratic subproblems within the mesh adaptive direct search algorithm. European Journal of Operational Research, 268(1), 13-24.Journal article Talgorn, B., Audet, C., Le Digabel, S., & Kokkolaras, M. (2018). Locally weighted regression models for surrogate-assisted design optimization. Optimization and Engineering, 19(1), 213-238.Journal article Audet, C., & Tribes, C. (2018). Mesh-based Nelder-Mead algorithm for inequality constrained optimization. Computational Optimization and Applications, 71(2), 331-352.Journal article Audet, C., Kokkolaras, M., Le Digabel, S., & Talgorn, B. (2018). Order-based error for managing ensembles of surrogates in mesh adaptive direct search. Journal of Global Optimization, 70(3), 645-675.Journal article Audet, C., Ihaddadene, A., Le Digabel, S., & Tribes, C. (2018). Robust optimization of noisy blackbox problems using the Mesh Adaptive Direct Search algorithm. Optimization Letters, 12(4), 675-689.Journal article Audet, C. (2018). Tuning Runge-Kutta parameters on a family of ordinary differential equations. International Journal of Mathematical Modelling and Numerical Optimisation, 8(3).
- 2017
Journal article Audet, C. (2017). Maximal Area of Equilateral Small Polygons. American Mathematical Monthly, 124(2), 175-178.Journal article Séguin, S., Audet, C., & Côté, P. (2017). Scenario-tree modeling for stochastic short-term hydropower operations planning. Journal of Water Resources Planning and Management, 143(12), 12 pages.Journal article Séguin, S., Fleten, S.-E., Côté, P., Pichler, A., & Audet, C. (2017). Stochastic short-term hydropower planning with inflow scenario trees. European Journal of Operational Research, 259(3), 1156-1168.
- 2016
Journal article Audet, C., & Kokkolaras, M. (2016). Blackbox and derivative-free optimization: theory, algorithms and applications. Optimization and Engineering, 17(1), 1-2.Journal article Audet, C., Le Digabel, S., & Tribes, C. (2016). Dynamic scaling in the mesh adaptive direct search algorithm for blackbox optimization. Optimization and Engineering, 17(2), 333-358.Journal article Audet, C., Hansen, P., & Messine, F. (2016). La saga des trois octogones. Dossier Pour la science, 91(380), 20-25.Journal article Xu, J., Audet, C., DiLiberti, C. E., Hauck, W. W., Montague, T. H., Parr, A. F., Potvin, D., & Schuirmann, D. J. (2016). Optimal adaptive sequential designs for crossover bioequivalence studies. Pharmaceutical Statistics, 15(1), 15-27.Journal article Séguin, S., Côté, P., & Audet, C. (2016). Self-Scheduling Short-Term Unit Commitment and Loading Problem. IEEE Transactions on Power Systems, 31(1), 133-142.
- 2015
Journal article Audet, C., Le Digabel, S., & Peyrega, M. (2015). Linear equalities in blackbox optimization. Computational Optimization and Applications, 61(1), 1-23.
- 2014
Journal article Belhaiza, S., Audet, C., & Hansen, P. (2014). A note on bimatrix game maximal Selten subsets. Arabian Journal of Mathematics, 3(3), 299-311.Journal article Adjengue, L., Audet, C., & Ben Yahia, I. (2014). A variance-based method to rank input variables of the Mesh Adaptive Direct Search algorithm. Optimization Letters, 8(5), 1599-1610.Journal article Minville, M., Cartier, D., Guay, C., Leclaire, L.-A., Audet, C., Le Digabel, S., & Merleau, J. (2014). Improving process representation in conceptual hydrological model calibration using climate simulations. Water Resources Research, 50(6), 5044-5073.Journal article Audet, C., Dang, K.-C., & Orban, D. (2014). Optimization of algorithms with OPAL. Mathematical Programming Computation, 6(3), 233-254.Journal article Audet, C. (2014). Ordering 15 marbles with a three-way scale. Mathematical Gazette, 98(542), 304-316.Journal article Gertz, E., Hiekkalinna, T., Le Digabel, S., Audet, C., Terwilliger, J. D., & Schäffer, A. A. (2014). PSEUDOMARKER 2.0: efficient computation of likelihoods using NOMAD. BMC Bioinformatics, 15(1).Journal article Audet, C., Ianni, A., Le Digabel, S., & Tribes, C. (2014). Reducing the number of function evaluations in mesh adaptive direct search algorithms. SIAM Journal on Optimization, 24(2), 621-642.Journal article Ouali, M.-S., Aoudjit, H., & Audet, C. (2014). Replacement Scheduling of a Fleet of Hydroelectric Generators: A Case Study. International Journal of Performability Engineering, 10(6), 615-630.
- 2013
Journal article Audet, C., Dang, C. K., & Orban, D. (2013). Efficient use of parallelism in algorithmic parameter optimization applications. Optimization Letters, 7(3), 421-433.Journal article Gheribi, A. E., Le Digabel, S., Audet, C., & Chartrand, P. (2013). Identifying optimal conditions for magnesium based alloy design using the Mesh Adaptive Direct Search algorithm. Thermochimica Acta, 559, 107-110.Journal article Audet, C., & Ninin, J. (2013). Maximal Perimeter, Diameter and Area of Equilateral Unit-Width Convex Polygons. Journal of Global Optimization, 56(3), 1007-1016.Journal article Alarie, S., Audet, C., Garnier, V., Le Digabel, S., & Leclaire, L.-A. (2013). Snow Water Equivalent Estimation Using Blackbox Optimization. Pacific Journal of Optimization, 9(1), 1-21.Journal article Audet, C., Hansen, P., Messine, F., & Ninin, J. (2013). The Small Octagons of Maximal Width. Discrete & Computational Geometry, 49(3), 589-600.
- 2012
Journal article Gheribi, A. E., Audet, C., Le Digabel, S., Belisle, È., Bale, C. W., & Pelton, A. (2012). Calculating Optimal Conditions for Alloy and Process Design Using Thermodynamic and Property Databases, the Fact Sage Software and the Mesh Adaptive Direct Search Algorithm. Calphad-Computer Coupling of Phase Diagrams and Thermochemistry, 36, 135-143.Journal article Saucier, A., & Audet, C. (2012). Construction of Sparse Signal Representations With Adaptive Multiscale Orthogonal Bases. Signal Processing, 92(6), 1446-1457.Journal article Belhaiza, S., Audet, C., & Hansen, P. (2012). On Proper Refinement of Nash Equilibria for Bimatrix Games. Automatica, 48(2), 297-303.Journal article Audet, C., & Le Digabel, S. (2012). The Mesh Adaptive Direct Search Algorithm for Periodic Variables. Pacific Journal of Optimization, 8(1), 103-119.Journal article Audet, C., Dennis, J. E., & Le Digabel, S. (2012). Trade-Off Studies in Blackbox Optimization. Optimization Methods & Software, 27(4-5), 613-624.
- 2011
Journal article Audet, C. (2011). A short proof on the cardinality of maximal positive bases. Optimization Letters, 5(1), 191-194.Journal article Gheribi, A. E., Robelin, C., Le Digabel, S., Audet, C., & Pelton, A. (2011). Calculating all local minima on liquidus surfaces using the FactSage software and databases and the Mesh Adaptive Direct Search algorithm. Journal of Chemical Thermodynamics, 43(9), 1323-1330.Journal article Audet, C., Hansen, P., & Perron, S. (2011). Remarks on solutions to a nonconvex quadratic programming test problem. Journal of Global Optimization, 50(2), 363-369.Journal article Audet, C., Guillou, A., Hansen, P., Messine, F., & Perron, S. (2011). The small hexagon and heptagon with maximum sum of distances between vertices. Journal of Global Optimization, 49(3), 467-480.
- 2010
Journal article Audet, C., Savard, G., & Zghal, W. (2010). A mesh adaptive direct search algorithm for multiobjective optimization. European Journal of Operational Research, 204(3), 545-556.Journal article Sankaran, S., Audet, C., & Marsden, A. L. (2010). A Method for Stochastic Constrained Optimization Using Derivative-Free Surrogate Pattern Search and Collocation. Journal of Computational Physics, 229(12), 4664-4682.Journal article Audet, C., Fournier, X., Hansen, P., & Messine, F. (2010). A Note on Diameters of Point Sets. Optimization Letters, 4(4), 585-595.Journal article Audet, C., Hansen, P., & Messine, F. (2010). Die Geschichte von den drei kleinen Achtecken. Spektrum der wissenschaft, 60-66.Journal article Audet, C., Dennis Jr., J. E., & Le Digabel, S. (2010). Globalization strategies for mesh adaptive direct search. Computational Optimization and Applications, 46(2), 193-215.
- 2009
Journal article Audet, C., Belhaiza, S., & Hansen, P. (2009). A new sequence form approach for the enumeration of all extreme nash equilibria for extensive form games. International Game Theory Review, 11(4), 437-451.Journal article Audet, C., & Dennis Jr., J. E. (2009). A progressive barrier for derivative-free nonlinear programming. SIAM Journal on Optimization, 20(1), 445-472.Journal article Audet, C., Hansen, P., & Messine, F. (2009). Isoperimetric polygons of maximum width. Discrete & Computational Geometry, 41(1), 45-60.Journal article Audet, C., Hansen, P., & Messine, F. (2009). La saga des trois petits octogones. Pour la science (380), 62-68.Journal article Abramson, M. A., Audet, C., Chrissis, J. W., & Walston, J. G. (2009). Mesh adaptive direct search algorithms for mixed variable optimization. Optimization Letters, 3(1), 35-47.Journal article Abramson, M. A., Audet, C., Dennis Jr., J. E., & Le Digabel, S. (2009). Orthomads: A deterministic MADS instance with orthogonal direct ions. SIAM Journal on Optimization, 20(2), 948-966.Journal article Audet, C., Hansen, P., & Messine, F. (2009). Ranking small regular polygons by area and by perimeter. [Классификация небольших правильных многоугольников по площади и периметру]. Journal of Applied and Industrial Mathematics, 3(1), 21-27.Journal article Audet, C., Hansen, P., & Messine, F. (2009). Simple Polygons of Maximum Perimeter Contained in a Unit Disk. Discrete & Computational Geometry, 41(2), 208-215.
- 2008
Journal article Fowler, K. R., Reese, J. P., Kees, C. E., Dennis, J. E., Kelley, C. T., Miller, C. T., Audet, C., Booker, A. J., Couture, G., Darwin, R. W., Farthing, M. W., Finkel, D. E., Gablonsky, J. M., Gray, G., & Kolda, T. G. (2008). Comparison of Derivative-Free Optimization Methods for Groundwater Supply and Hydraulic Capture Community Problems. Advances in Water Resources, 31(5), 743-757.Journal article Audet, C., Custódio, A. L., & Dennis, J. E. (2008). Erratum: Mesh Adaptive Direct Search Algorithms for Constrained Optimization. SIAM Journal on Optimization, 18(4), 1501-1503.Journal article Audet, C., Hansen, P., Karam, A., Ng, C. T., & Perron, S. (2008). Exact L₂-norm plane separation. Optimization Letters, 2(4), 483-495.Journal article Audet, C., Savard, G., & Zghal, W. (2008). Multiobjective Optimization Through a Series of Single-Objective Formulations. SIAM Journal on Optimization, 19(1), 188-210.Journal article Audet, C., Béchard, V., & Le Digabel, S. (2008). Nonsmooth Optimization Through Mesh Adaptive Direct Search and Variable Neighborhood Search. Journal of Global Optimization, 41(2), 299-318.Journal article Audet, C., Dennis Jr., J. E., & Le Digabel, S. (2008). Parallel space decomposition of the mesh adaptive direct search algorithm. SIAM Journal on Optimization, 19(3), 1150-1170.Journal article Audet, C., Béchard, V., & Chaouki, J. (2008). Spent Potliner Treatment Process Optimization Using a Mads Algorithm. Optimization and Engineering, 9(2), 143-160.
- 2007
Journal article Audet, C., Haddad, J., & Savard, G. (2007). Disjunctive cuts for continuous linear bilevel programming. Optimization Letters, 1(3), 259-267.Journal article Audet, C., Hansen, P., & Messine, F. (2007). Extremal Problems for Convex Polygons. Journal of Global Optimization, 38(2), 163-179.Journal article Abramson, M. A., Audet, C., & Dennis Jr., J. E. (2007). Filter pattern search algorithms for mixed variable constrained optimization problems. Pacific Journal of Optimization, 3(3), 477-500.Journal article Audet, C., & Dennis Jr., J. E. (2007). Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, 17(1), 188-217.Journal article Audet, C., Savard, G., & Zghal, W. (2007). New Branch-and-Cut Algorithm for Bilevel Linear Programming. Journal of Optimization Theory and Applications, 134(2), 353-370.Journal article Audet, C., Hansen, P., & Messine, F. (2007). The Small Octagon With Longest Perimeter. Journal of Combinatorial Theory, Series A, 114(1), 135-150.
- 2006
Journal article Audet, C., Haddad, J., & Savard, G. (2006). A Note on the Definition of a Linear Bilevel Programming Solution. Applied Mathematics and Computation, 181(1), 351-355.Journal article Abramson, M. A., & Audet, C. (2006). Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points. SIAM Journal on Optimization, 17(2), 606-619.Journal article Audet, C., Belhaiza, S., & Hansen, P. (2006). Enumeration of all the extreme equilibria in game theory: bimatrix and polymatrix games. Journal of Optimization Theory and Applications, 129(3), 349-372.Journal article Audet, C., & Orban, D. (2006). Finding Optimal Algorithmic Parameters Using Derivative-Free Optimization. SIAM Journal on Optimization, 17(3), 642-664.Journal article Abramson, M. A., Audet, C., & Dennis Jr., J. E. (2006). Nonlinear programming by mesh adaptive direct searches. SIAG/Optimization Views-and-News, 17(1), 2-11.Journal article Audet, C., Hansen, P., & Messine, F. (2006). Quatre petits octogones. MATAPLI, 108(1), 39-75.
- 2004
Journal article Audet, C., Carrizosa, E., & Hansen, P. (2004). An Exact Method for Fractional Goal Programming. Journal of Global Optimization, 29(1), 113-120.Journal article Audet, C., & Dennis, J. E. (2004). A Pattern Search Filter Method for Nonlinear Programming Without Derivatives. SIAM Journal on Optimization, 14(4), 980-1010.Journal article Audet, C. (2004). Convergence Results for Generalized Pattern Search Algorithms Are Tight. Optimization and Engineering, 5(2), 101-122.Journal article Abramson, M. A., Audet, C., & Dennis, J. E. (2004). Generalized Pattern Searches With Derivative Information. Mathematical Programming, 100(1), 3-25.Journal article Audet, C., Brimberg, J., Hansen, P., Le Digabel, S., & Mladenovic, N. (2004). Pooling Problem: Alternate Formulations and Solution Methods. Management Science, 50(6), 761-776.Journal article Audet, C., Hansen, P., Messine, F., & Perron, S. (2004). The Minimum Diameter Octagon With Unit-Length Sides: Vincze's Wife's Octagon Is Suboptimal. Journal of Combinatorial Theory, Series A, 108(1), 63-75.
- 2003
Journal article Audet, C., & Dennis, J. E. (2003). Analysis of Generalized Pattern Searches. SIAM Journal on Optimization, 13(3), 889-903.Journal article Hayes, R. E., Bertrand, F., Audet, C., & Kolaczkowski, S. T. (2003). Catalytic combustion kinetics: using a direct search algorithm to evaluate kinetic parameters from light-off curves. Canadian Journal of Chemical Engineering, 81(6), 1192-1199.Journal article Ouali, M.-S., Aoudjit, H., & Audet, C. (2003). Optimisation des stratégies de maintenance intégration à la production. Journal Européen des Systèmes Automatisés, 37(5), 587-605.
- 2002
Journal article Audet, C., Hansen, P., Messine, F., & Xiong, J. (2002). The largest small octagon. Journal of Combinatorial Theory, Series A, 98(1), 46-59.
- 2001
Journal article Alarie, S., Audet, C., Jaumard, B., & Savard, G. (2001). Concavity Cuts for Disjoint Bilinear Programming. Mathematical Programming, 90(2), 373-398.Journal article Audet, C., Hansen, P., Jaumard, B., & Savard, G. (2001). Enumeration of All Extreme Equilibria of Bimatrix Games. SIAM Journal on Scientific Computing, 23(1), 323-338.Journal article Kokkolaras, M., Audet, C., & Dennis Jr., J. E. (2001). Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Optimization and Engineering, 2(1), 5-29.Journal article Audet, C., & Dennis, J. E. (2001). Pattern Search Algorithms for Mixed Variable Programming. SIAM Journal on Optimization, 11(3), 573-594.
- 2000
Journal article Audet, C., Hansen, P., Jaumard, B., & Savard, G. (2000). A Branch and Cut Algorithm for Nonconvex Quadratically Constrained Quadratic Programming. Mathematical Programming, 87(1), 131-152.
- 1999
Journal article Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1999). A Symmetrical Linear Maxmin Approach to Disjoint Bilinear Programming. Mathematical Programming, 85(3), 573-592.
- 1997
Journal article Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1997). Links between linear bilevel and mixed 0-1 programming problems. Journal of Optimization Theory and Applications, 93(2), 273-300.
- 2025
- Conference papers (9)
- 2022
Conference paper Audet, C., Le Digabel, S., Salomon, L., & Tribes, C. (2022, June). Constrained blackbox optimization with the NOMAD solver on the COCO constrained test suite [Paper]. Genetic and Evolutionary Computation Conference Companion (GECCO 2022), Boston, Massachusetts, USA.Conference paper Kojtych, S., Nyssen, F., Audet, C., & Batailly, A. (2022, June). Methodology for the Redesign of Compressor Blades Undergoing Nonlinear Structural Interactions: Application to Blade-Tip/Casing Contacts [Paper]. ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition (GT 2022), Rotterdam, Netherlands (12 pages).Conference paper Monnet, D., Goldsztejn, A., Plestan, F., & Audet, C. (2022, December). Second order sliding mode twisting controller tuning based on two-level optimization process [Paper]. IEEE 61st Conference on Decision and Control (CDC 2022), Cancun, MEXICO.
- 2016
Conference paper Rodríguez, J. A., Anjos, M. F., Audet, C., & Côté, P. (2016, June). A decomposition approach for the hydropower operation and maintenance scheduling [Poster]. Workshop on Nonlinear Optimization Algorithms and Industrial Applications, Toronto, Ontario.Conference paper Amaioua, N., Le Digabel, S., Audet, C., & Conn, A. R. (2016, June). Efficient solution of quadratically constrained quadratic subproblems within a direct-search algorithm [Poster]. Workshop on Nonlinear Optimization Algorithms and Industrial Applications, Toronto, Ontario.
- 2015
Conference paper Côté, P., Audet, C., Amaioua, N., Bigeon, E., Desreumaux, Q., Ihaddadene, A., Mir, Y., Rodriguez, J., & Zéphyr, L. (2015, August). Planning of the maintenance outages for a set of hydroelectric turbogenerators [Paper]. 6th Montréal Industrial Problem Solving Workshop, Montréal, Québec.
- 2003
Conference paper Hayes, R. E., Mukadi, L. S., Bertrand, F., & Audet, C. (2003, June). Modelling and optimization of the automotive catalytic converter [Paper]. 2003 CMS Summer Meeting, Edmonton, Alberta, Canada.
- 2000
Conference paper Audet, C., Booker, A., Dennis, J. E. J., Frank, P., & Moore, D. W. (2000, January). Surrogate-model-based method for constrained optimization [Paper]. 8th AIAA/NASA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, California.
- 1998
Conference paper Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1998, July). Enumeration of all extreme equilibrum strategies of bimatrix games [Paper]. 8th International Symposium on Dynamic Games and Applications, Maastricht, Netherlands.
- 2022
- Books (2)
- 2021
Book Audet, C. (2021). Optimisation continue.
- 2017
Book Audet, C., & Hare, W. (2017). Derivative-Free and Blackbox Optimization.
- 2021
- Book chapters (12)
- 2022
Book chapter Audet, C. (2022). Blackbox Optimization. In Pardalos, P. M., & Prokopyev, O. A. (eds.), Encyclopedia of Optimization (pp. 1-6).
- 2020
Book chapter Audet, C., & Hare, W. (2020). Model-Based Methods in Derivative-Free Nonsmooth Optimization. In Numerical Nonsmooth Optimization: State of the Art Algorithms (pp. 655-691).
- 2017
Book chapter Audet, C., & Hare, W. (2017). Mesh Adaptive Direct Search. In Derivative-Free and Blackbox Optimization (pp. 135-156).Book chapter Audet, C., & Hare, W. (2017). Model-Based Descent. In Derivative-Free and Blackbox Optimization (pp. 183-200).
- 2014
Book chapter Audet, C. (2014). A survey on direct search methods for blackbox optimization and their applications. In Mathematics without boundaries: Surveys in interdisciplinary research (pp. 31-56).
- 2013
Book chapter Audet, C., Le Digabel, S., Diest, K., Sweatlock, L. A., & Marthaler, D. E. (2013). Metamaterial design by mesh adaptive direct search. In Numerical methods for metamaterial design (Vol. 127, pp. 71-96).
- 2011
Book chapter Zghal, W., Audet, C., & Savard, G. (2011). A new multi-objective approach for the portfolio selection problem with skewness. In Advances in quantitative analysis of finance and accounting (pp. 317-335).
- 2010
Book chapter Audet, C., Dang, C.-K., & Orban, D. (2010). Algorithmic parameter optimization of the DFO method with the OPAL framework. In Naono, K., Teranishi, K., Cavazos, J., & Suda, R. (eds.), Software Automatic Tuning: From Concepts to State-of-the-Art Results (pp. 255-274).
- 2009
Book chapter Audet, C., Hansen, P., & Messine, F. (2009). External problems for convex polygons-an update. In Lectures on global optimization (pp. 1-16).Book chapter Audet, C., Hansen, P., & Messine, F. (2009). Extremal problems for convex polygons - An update. In Pardalos, P. M., & Coleman, T. F. (eds.), Lectures on Global Optimization (Vol. 55, pp. 1-16).
- 2004
Book chapter Audet, C., Hansen, P., & Le Digabel, S. (2004). Exact solution of three nonconvex quadratic programming problems. In Frontiers in global optimization (Vol. 74, pp. 25-43).
- 1998
Book chapter Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1998). On the linear maxmin and related programming problems. In Multilevel Optimization: Algorithms and Applications (Vol. 20, pp. 181-208).
- 2022
- Reports (119)
- 2024
Report Bouchet, P.-Y., Audet, C., & Bourdin, L. (2024). A derivative-free approach to partitioned optimization. (Technical Report n° G-2024-39).Report Hallé-Hannan, E., Audet, C., Diouane, Y., Le Digabel, S., & Saves, P. (2024). A graph-structured distance for heterogeneous datasets with meta variables. (Technical Report n° G-2024-33).Report Boisneault, L. P. J. C., Audet, C., & Mélançon, D. (2024). Blackbox optimization for origami-inspired bistable structures. (Technical Report n° G-2024-51).Report Patience, P. A., Audet, C., & Blais, B. (2024). Cesogen: Cellular solid generator. (Technical Report n° G-2024-15).Report Bouchet, P.-Y., Audet, C., & Bourdin, L. (2024). Convergence towards a local minimum by direct search methods with a covering step. (Technical Report n° G-2024-05).Report Thio, N. A., Audet, C., Diago Martinez, M., Gheribi, A. E., Le Digabel, S., Lebeuf, X., Lemyre-Garneau, M., & Tribes, C. (2024). solar: A solar thermal power plant simulator for blackbox optimization benchmarking. (Technical Report n° G-2024-37).Report Audet, C., Hare, W., & Jarry-Bolduc, G. (2024). The cosine measure relative to a subspace. (Technical Report n° G-2024-07).
- 2023
Report Alarie, S., Audet, C., Diago Martinez, M., Le Digabel, S., & Lebeuf, X. (2023). Hierarchically constrained multi-fidelity blackbox optimization. (Technical Report n° G-2023-66).Report Audet, C., Bigeon, J., Couderc, R., & Kokkolaras, M. (2023). Risk averse constrained blackbox optimization under mixed aleatory/epistemic uncertainties. (Technical Report n° G-2023-46).Report Audet, C., Bigeon, J., Couderc, R., & Kokkolaras, M. (2023). Sequential stochastic blackbox optimization with zeroth order gradient estimator. (Technical Report n° G-2023-16).
- 2022
Report Audet, C., Hallé-Hannan, E., & Le Digabel, S. (2022). A general mathematical framework for constrained mixed-variable blackbox optimization problems with meta and categorical variables. (Technical Report n° G-2022-11).Report Audet, C., Bouchet, P.-Y., & Bourdin, L. (2022). Erratum: Counterexample and an additional revealing poll step for a result of "Analysis of direct searches for discontinuous functions". (Technical Report n° G-2022-56).Report Audet, C., Bigeon, J., Couderc, R., & Kokkolaras, M. (2022). Risk-adverse optimization by Conditional Value-at-Risk and stochastic approximation. (Technical Report n° G-2022-04).
- 2021
Report Audet, C., Bouchet, P.-Y., & Bourdin, L. (2021). A derivative-free approach to optimal control problems with a piecewise constant Mayer cost function. (Technical Report n° G-2021-63).Report Audet, C. (2021). Blackbox optimization. (Technical Report n° G-2021-35).Report Alarie, S., Audet, C., Jacquot, P., & Le Digabel, S. (2021). Hierarchically constrained blackbox optimization. (Technical Report n° G-2021-65).Report Audet, C., Le Digabel, S., Rochon Montplaisir, V., & Tribes, C. (2021). NOMAD version 4: Nonlinear optimization with the MADS algorithm. (Technical Report n° G-2021-23).Report Audet, C., Le Digabel, S., & Saltet, R. (2021). Quantifying uncertainty with ensembles of surrogates for blackbox optimization. (Technical Report n° 2021-37).Report Bingane, C., & Audet, C. (2021). The equilateral small octagon of maximal width. (Technical Report n° G-2021-45).Report Bingane, C., & Audet, C. (2021). Tight bounds on the maximal perimeter of convex equilateral small polygons. (Technical Report n° G-2021-31).
- 2020
Report Audet, C., Bigeon, J., & Couderc, R. (2020). Combining Cross Entropy and MADS methods for inequality constrained optimization. (Technical Report n° G-2020-59).Report Audet, C., Batailly, A., & Kojtych, S. (2020). Escaping unknown discontinuous regions in blackbox optimization. (Technical Report n° G-2020-46).Report Audet, C., Messine, F., & Ninin, J. (2020). Numerical certification of Pareto optimality for biobjective nonlinear problems. (Technical Report n° G-2020-01).Report Report Alarie, S., Audet, C., Gheribi, A. E., Kokkolaras, M., & Le Digabel, S. (2020). Two decades of blackbox optimization applications. (Technical Report n° G-2020-58).
- 2019
Report Audet, C., Caporossi, G., & Jacquet, S. (2019). Binary, unrelaxable and hidden constraints in blackbox optimization. (Technical Report n° G-2019-76).Report Audet, C., Caporossi, G., & Jacquet, S. (2019). Constraint scaling in the Mesh Adaptative Direct Search algorithm. (Technical Report n° G-2019-65).Report Audet, C., & Côté-Massicotte, J. (2019). Dynamic improvements of static surrogates in direct search optimization. (Technical Report n° G-2019-10).Report Huot, P.-L., Poulin, A., Audet, C., & Alarie, S. (2019). Low-cost and representative surrogate hydrological models. Part I - Construction of surrogates. (Technical Report n° G-2019-07).Report Huot, P.-L., Poulin, A., Audet, C., & Alarie, S. (2019). Low-cost and representative surrogate hydrological models. Part II - Use within calibration frameworks. (Technical Report n° G-2019-08).Report Audet, C., Côté, P., Poissant, C., & Tribes, C. (2019). Monotonic grey box optimization. (Technical Report n° G-2019-15).Report Alarie, S., Audet, C., Bouchet, P.-Y., & Le Digabel, S. (2019). Optimization of noisy blackboxes with adaptive precision. (Technical Report n° G-2019-84).Report Audet, C., Dzahini, K. J., Kokkolaras, M., & Le Digabel, S. (2019). StoMADS: Stochastic blackbox optimization using probabilistic estimates. (Technical Report n° G-2019-30).Report Audet, C., Hansen, P., & Svrtan, D. (2019). Using symbolic calculations to determine largest small polygons. (Technical Report n° G-2019-57).
- 2018
Report Audet, C., & Hare, W. (2018). Model-based methods in derivative-free nonsmooth optimization. (Technical Report n° G-2018-34).Report Audet, C., Kokkolaras, M., Le Digabel, S., & Talgorn, B. (2018). Order-based error for managing ensembles of surrogates in derivative-free optimization. (Technical Report n° G-2016-36).Report Audet, C., Bigeon, J., Cartier, D., Le Digabel, S., & Salomon, L. (2018). Performance indicators in multiobjective optimization. (Technical Report n° G-2018-90).Report Alarie, S., Amaioua, N., Audet, C., Le Digabel, S., & Leclaire, L.-A. (2018). Selection of variables in parallel space decomposition for the mesh adaptive. (Technical Report n° G-2018-38).Report Audet, C., Le Digabel, S., & Tribes, C. (2018). The mesh adaptive direct search algorithm for granular and discrete variables. (Technical Report n° G-2018-16).
- 2017
Report Huot, P.-L., Poulin, A., Audet, C., & Alarie, S. (2017). A hybrid optimization approach for efficient calibration of computationally intensive hydrological models. (Technical Report n° G-2017-56).Report Audet, C., & Tribes, C. (2017). Mesh-based Nelder-Mead algorithm for inequality constrained optimization. (Technical Report n° G-2017-90).Report Audet, C. (2017). Tuning Runge-Kutta parameters on a family of ordinary differential equations. (Technical Report n° G-2017-18).
- 2016
Report Audet, C., Le Digabel, S., & Peyrega, M. (2016). A derivative-free trust-region augmented Lagrangian algorithm. (Technical Report n° G-2016-53).Report Audet, C., & Hare, W. (2016). Algorithmic construction of the subdifferential from directional derivatives. (Technical Report n° G-2016-12).Report Audet, C., Conn, A. R., Le Digabel, S., & Peyrega, M. (2016). A progressive barrier derivative-free trust-region algorithm for constrained optimization. (Technical Report n° G-2016-49).Report Amaioua, N., Audet, C., Conn, A. R., & Le Digabel, S. (2016). Efficient solution of quadratically constrained quadratic subproblems within a direct-search algorithm. (Technical Report n° G-2016-45).Report Talgorn, B., Audet, C., Le Digabel, S., & Kokkolaras, M. (2016). Locally weighted regression models for surrogate-assisted design optimization. (Technical Report n° G-2016-113).Report Audet, C., Ihaddadene, A., Le Digabel, S., & Tribes, C. (2016). Robust optimization of noisy blackbox problems using the Mesh Adaptive Direct Search algorithm. (Technical Report n° G-2016-55).Report Séguin, S., Audet, C., & Côté, P. (2016). Scenario tree modeling for stochastic short-term hydropower operations planning. (Technical Report n° G-2016-54).Report Séguin, S., Fleten, S.-E., Côté, P., Pichler, A., & Audet, C. (2016). Stochastic short-term hydropower planning with inflow scenario trees. (Technical Report n° G-2015-97).
- 2015
Report Audet, C. (2015). A lower bound on the sum of the largest components of a nonnegative vector. (Technical Report n° G-2015-54).Report Audet, C. (2015). Maximal area of equilateral small polygons. (Technical Report n° G-2015-101).Report Le Digabel, S., Tribes, C., & Audet, C. (2015). NOMAD User Guide. Version 3.7.2. (Technical Report n° G-2009-37).Report Xu, J., Audet, C., DiLiberti, C. E., Hauck, W. W., Montague, T. H., Parr, A. F., Potvin, D., & Schuirmann, D. J. (2015). Optimal adaptive sequential designs for crossover bioequivalence studies. (Technical Report n° G-2015-70).
- 2014
Report Audet, C., Le Digabel, S., & Tribes, C. (2014). Dynamic scaling in the Mesh Adaptive Direct Search algorithm for blackbox optimization. (Technical Report n° G-2014-16).Report Audet, C., Le Digabel, S., & Peyrega, M. (2014). Linear Equalities in Blackbox Optimization. (Technical Report n° G-2014-36).Report Séguin, S., Côté, P., & Audet, C. (2014). Short-term unit commitment and loading problem. (Technical Report n° G-2014-21).
- 2013
Report Adjengue, L., Audet, C., & Ben Yahia, I. (2013). A Variance-Based Method to Rank Input Variables of the Mesh Adaptive Direct Search Algorithm. (Technical Report n° G-2013-15).Report Audet, C. (2013). Ordering 15 Marbles with a Three-Way Scale. (Technical Report n° G-2013-05).
- 2012
Report Audet, C. (2012). A Survey on Direct Search Methods for Blackbox Optimization and their Applications. (Technical Report n° G-2012-53).Report Ouali, M.-S., Aoudjit, H., & Audet, C. (2012). Long-Term Fleet Maintenance of Hydroelectric Generators Using Proportional Hazard Model and Nonlinear Programming. (Technical Report n° G-2012-11).Report Audet, C., Dang, K.-C., & Orban, D. (2012). Optimization of Algorithms with OPAL. (Technical Report n° G-2012-08).Report Audet, C., Ianni, A., Le Digabel, S., & Tribes, C. (2012). Reducing the Number of Function Evaluations in Mesh Adaptive Direct Search Algorithms. (Technical Report n° G-2012-43).Report Audet, C., Hansen, P., Messine, F., & Ninin, J. (2012). The Small Octagons of Maximal Width. (Technical Report n° G-2012-22).
- 2011
Report Audet, C., Dang, K.-C., & Orban, D. (2011). Efficient Use of Parallelism in Algorithmic Parameter Optimization Applications. (Technical Report n° G-2011-03).Report Alarie, S., Audet, C., Garnier, V., Le Digabel, S., & Leclaire, L.-A. (2011). Snow Water Equivalent Estimation Using Blackbox Optimization. (Technical Report n° G-2011-09).
- 2010
Report Audet, C., Dang, K.-C., & Orban, D. (2010). Algorithmic Parameter Optimization of the DFO Method with the OPAL Framework. (Technical Report n° G-2010-02).Report Sankaran, S., Audet, C., & Marsden, A. L. (2010). A Method for Stochastic Constrained Optimization Using Derivative-Free Surrogate Pattern Search and Collocation. (Technical Report n° G-2010-01).Report Audet, C., Belhaiza, S., & Hansen, P. (2010). A Note on Bimatrix Game Maximal Selten Subsets. (Technical Report n° G-2010-03).Report Audet, C. (2010). A Short Proof on the Cardinality of Maximal Positive Bases. (Technical Report n° G-2010-20).Report Gheribi, A. E., Audet, C., Le Digabel, S., Belisle, È., & Pelton, A. (2010). Calculating Optimal Conditions for Alloy and Process Design Using Thermodynamic and Properties Databases, the FactSage Software and the Mesh Adaptive Direct Search (MADS) Algorithm. (Technical Report n° G-2010-77).Report Saucier, A., & Audet, C. (2010). Construction of Sparse Signal Representations with Adaptive Multiscale Orthogonal Bases. (Technical Report n° G-2010-42).Report Gheribi, A. E., Robelin, C., Le Digabel, S., Audet, C., & Pelton, A. (2010). Identifying Local Minima in the Liquidus Surface Using the FactSage Software and the Mesh Adaptive Direct Search (MADS) Algorithm. (Technical Report n° G-2010-76).Report Audet, C., & Ninin, J. (2010). Maximal Perimeter, Diameter and Area of Equilateral Unit-Width Convex Polygons. (Technical Report n° G-2010-37).Report Audet, C., Belhaiza, S., & Hansen, P. (2010). On Proper Refinement of Bimatrix Games Extreme Nash Equilibria. (Technical Report n° G-2010-15).Report Audet, C., Dennis, J. E., & Le Digabel, S. (2010). Sensitivity to Constraints in Blackbox Optimization. (Technical Report n° G-2010-49).
- 2009
Report Audet, C., Savard, G., & Zghal, W. (2009). A Mesh Adaptive Direct Search Algorithm for Multi-Objective Optimization. (Technical Report n° G-2009-13).Report Audet, C., Fournier, X., Hansen, P., & Messine, F. (2009). A Note on Diameters of Point Sets. (Technical Report n° G-2009-85).Report Audet, C., & Le Digabel, S. (2009). The Mesh Adaptive Direct Search Algorithm for Periodic Variables. (Technical Report n° G-2009-23).
- 2008
Report Audet, C., Dennis Jr., J. E., & Le Digabel, S. (2008). Globalization Strategies for Mesh Adaptive Direct Search. (Technical Report n° G-2008-74).Report Abramson, M. A., Audet, C., Dennis Jr., J. E., & Le Digabel, S. (2008). OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions. (Technical Report n° G-2008-15).Report Audet, C., Hansen, P., & Perron, S. (2008). Remarks on Solutions to a Nonconvex Quadratic Programming Test Problem. (Technical Report n° G-2008-88).Report Audet, C., Hansen, P., & Messine, F. (2008). Simple Polygons of Maximum Perimeter Contained in a Unit Disk. (Technical Report n° G-2007-56).Report Audet, C., Guillou, A., Hansen, P., Messine, F., & Perron, S. (2008). The Small Hexagon and Heptagon with Maximum Sum of Distances Between Vertices. (Technical Report n° G-2008-20).
- 2007
Report Audet, C., & Dennis Jr., J. E. (2007). A MADS Algorithm with a Progressive Barrier for Derivative-Free Nonlinear Programming. (Technical Report n° G-2007-37).Report Zghal, W., Audet, C., & Savard, G. (2007). A New Multi-Objective Approach for the Portfolio Selection Problem with Skewness. (Technical Report n° G-2007-86).Report Audet, C., Belhaiza, S., & Hansen, P. (2007). A New Sequence Form Approach for the Enumeration and Refinement of all Extreme Nash Equilibria for Extensive Form Games. (Technical Report n° G-2006-10).Report Audet, C., Hansen, P., Karam, A., Ng, C. T., & Perron, S. (2007). Exact L₂-Norm Plane Separation. (Technical Report n° G-2007-09).Report Audet, C., Hansen, P., & Messine, F. (2007). Extremal Problems for Convex Polygons - An Update. (Technical Report n° G-2007-82).Report Abramson, M. A., Audet, C., Chrissis, J. W., & Walston, J. G. (2007). Mesh Adaptive Direct Search Algorithms for Mixed Variable Optimization. (Technical Report n° G-2007-49).Report Audet, C., Savard, G., & Zghal, W. (2007). Multiobjective Optimization Through a Series of Single-Objective Formulations. (Technical Report n° G-2007-05).Report Audet, C., Béchard, V., & Le Digabel, S. (2007). Nonsmooth Optimization through Mesh Adaptive Direct Search and Variable Neighborhood Search. (Technical Report n° G-2006-61).Report Audet, C., Dennis Jr., J. E., & Le Digabel, S. (2007). Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm. (Technical Report n° G-2007-81).Report Audet, C., Belhaiza, S., & Hansen, P. (2007). Perfect and Proper Refinements of All Extreme Nash Equilibria for Bimatrix Games. (Technical Report n° G-2007-85).
- 2006
Report Audet, C., Haddad, J., & Savard, G. (2006). Disjunctive Cuts for Continuous Linear Bilevel Programming. (Technical Report n° G-2006-12).Report Audet, C., Custódio, A. L., & Dennis, J. E. (2006). Erratum: Mesh Adaptive Direct Search Algorithms for Constrained Optimization. (Technical Report n° G-2006-53).Report Audet, C., Hansen, P., & Messine, F. (2006). Isoperimetric Polygons of Maximal Width. (Technical Report n° G-2006-72).Report Audet, C., Hansen, P., & Messine, F. (2006). Ranking Small Regular Polygons by Area and by Perimeter. (Technical Report n° G-2005-92).Report Audet, C., Béchard, V., & Chaouki, J. (2006). Spent Potliner Treatment Process Optimization Using a MADS Algorithm. (Technical Report n° G-2005-16).
- 2005
Report Audet, C., Haddad, J., & Savard, G. (2005). A Note on the Definition of a Linear Bilevel Programming Solution. (Technical Report n° G-2005-81).Report Audet, C., Hansen, P., & Messine, F. (2005). Extremal Problems for Convex Polygons. (Technical Report n° G-2005-95).Report Abramson, M. A., Audet, C., & Dennis Jr., J. E. (2005). Nonlinear Programming by Mesh Adaptive Direct Searches. (Technical Report n° G-2005-86).Report Audet, C., Hansen, P., & Messine, F. (2005). Quatre Petits Octogones. (Technical Report n° G-2005-93).Report Abramson, M. A., & Audet, C. (2005). Second-Order Convergence of Mesh-Adaptive Direct Search. (Technical Report n° G-2005-63).Report Audet, C., Hansen, P., & Messine, F. (2005). The Small Octagon with Longest Perimeter. (Technical Report n° G-2005-49).
- 2004
Report Audet, C., Hansen, P., Karam, A., Ng, C. T., & Perron, S. (2004). Exact Solution of -norm and -norm Plane Separation. (Technical Report n° G-2004-84).Report Abramson, M. A., Audet, C., & Dennis, J. E. (2004). Filter Pattern Search Algorithms for Mixed Variable Constrained Optimization Problems. (Technical Report n° G-2004-53).Report Audet, C., & Orban, D. (2004). Finding Optimal Algorithmic Parameters Using the Mesh Adaptive Direct Search Algorithm. (Technical Report n° G-2004-96).Report Audet, C., Savard, G., & Zghal, W. (2004). New Branch-and-Cut Algorithm for Bilevel Linear Programming. (Technical Report n° G-2004-13).
- 2003
Report Audet, C., Belhaïza, S., & Hansen, P. (2003). Enumeration of all extreme equilibria in game theory: bimatrix and polymatrix games. (Technical Report n° G-2003-63).Report Audet, C., Hansen, P., Messine, F., & Perron, S. (2003). The minimum diameter octagon with unit-length sides: Vincze's wife's octagon is suboptimal. (Technical Report n° G-2003-59).
- 2000
Report Audet, C., Hansen, P., Jaumard, B., & Savard, G. (2000). Enumeration of All Extreme Equilibria of Bimatrix Games. (Technical Report n° G-96-32).
- 1999
Report Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1999). A Branch and Cut Algorithm for Nonconvex Quadratically Constrained Quadratic Programming. (Technical Report n° G-97-67).Report Alarie, S., Audet, C., Jaumard, B., & Savard, G. (1999). Concavity Cuts for Disjoint Bilinear Programming. (Technical Report n° G-99-38).
- 1998
Report Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1998). A Symmetrical Linear Maxmin Approach to Disjoint Bilinear Programming. (Technical Report n° G-96-06).Report Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1998). Complete Enumeration of Equilibria for Two-Person Games in Strategic and Sequence Forms. (Technical Report n° G-98-59).
- 1996
Report Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1996). On the Linear Maxmin and Related Programming Problems. (Technical Report n° G-96-15).
- 1995
Report Audet, C., Hansen, P., Jaumard, B., & Savard, G. (1995). Links Between the Linear Bilevel and Mixed 0-1 Programming Problems. (Technical Report n° G-95-20).
- 1994
Report Audet, C., Jaumard, B., & Savard, G. (1994). Concavity Cuts for the Linear maxmin Problem. (Technical Report n° G-94-52).
- 2024
- Theses (1)
- 1997
Thesis Audet, C. (1997). Optimisation globale structurée : propriétés, équivalences et résolution [Ph.D. thesis, École Polytechnique de Montréal].
- 1997