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Charles Audet

Professor
Department of Mathematical and Industrial Engineering

Publications

The bibliographic data is imported from Polytechnique Montréal's Directory of Publications. The bibliography below includes a majority of publications written by a professor/researcher affiliated with Polytechnique, since 1994 (if applicable). Publications before the professor's/researcher's affiliation with Polytechnique or before 1994 may also be included in this list. You may also consult the Directory of Scientific & Technical Publications for more information about the document type coverage.

1 Charles Audet, Michael Kokkolaras (2016). Blackbox and derivative-free optimization: theory, algorithms and applicationsOptimization and Engineering, 17(1), p. 2 pages. DOI : 10.1007/s11081-016-9307-4 
2 C. Audet, P. Hansen, F. Messine (2016). La saga des trois octogones. Dossier pour la science, 91(380), p. 20-25.
3 J. L. Xu, C. Audet, C. E. DiLiberti, W. W. Hauck, T. H. Montague, A. F. Parr, D. Potvin, D. J. Schuirmann (2016). Optimal adaptive sequential designs for crossover bioequivalence studiesPharmaceutical Statistics, 15(1), p. 15-27. DOI : 10.1002/pst.1721 
4 S. Seguin, P. Cote, C. Audet (2016). Self-Scheduling Short-Term Unit Commitment and Loading ProblemIEEE Transactions on Power Systems, 31(1), p. 133-142. DOI : 10.1109/TPWRS.2014.2383911 
5 C. Audet, S. Le Digabel, M. Peyrega (2015). Linear equalities in blackbox optimizationComputational Optimization and Applications, 61(1), p. 23 pages. DOI : 10.1007/s10589-014-9708-2 
6 A. Trabelsi, O. Mohamed Ait, Charles Audet (2015). Robust Parametric Modeling of Speech in Additive White Noise’Journal of Spinal and Information Processing, 6(2), p. 99-108. DOI : 10.4236/jsip.2015.62010 
7 M.S. Ouali, H. Aoudjit, C. Audet (2014). Replacement Scheduling of a Fleet of Hydroelectric Generators: A Case StudyInternational Journal of Performability Engineering, 10(6), p. 615-630.
8 Marie Minville, Dominique Cartier, Catherine Guay, Louis-Alexandre Leclaire, Charles Audet, Sebastien Le Digabel, James Merleau (2014). Improving process representation in conceptual hydrological model calibration using climate simulationsWater Resources Research, 50(6), p. 5044-5073. DOI : 10.1002/2013WR013857 
9 Edward Michael Gertz, Tero Hiekkalinna, Sebastien Le Digabel, Charles Audet, Joseph D. Terwilliger, Alejandro A. Schaffer (2014). PSEUDOMARKER 2.0: Efficient computation of likelihoods using NOMADBMC Bioinformatics, 15(47), p. 1-8. DOI : 10.1186/1471-2105-15-47 
10 Charles Audet, Andrea Ianni, Sebastien Le Digabel, Christophe Tribes (2014). Reducing the number of function evaluations in mesh adaptive direct search algorithmsSIAM Journal on Optimization, 24(2), p. 621-642. DOI : 10.1137/120895056 
11 C. Audet, C.-K Dang, D. Orban (2014). Optimization of algorithms with OPALMathematical Programming Computation, 6(3), p. 233-254. DOI : 10.1007/s12532-014-0067-x 
12 C. Audet, S. Belhaiza, P. Hansen (2014). A note on Bimatrix Game Maximal Selten SubsetsArabian Journal of Mathematics, 3(3), p. 299-311. DOI : 10.1007/s40065-014-0101-x 
13 C. Audet (2014). A survey on direct search methods for blackbox optimization and their applicationsMathematics without boundaries: Surveys in interdisciplinary research. Springer. p. 31-56. DOI : 10.1007/978-1-4939-1124-0_2 
14 C. Audet (2014). Ordering 15 marbles with a three-way scaleThe Mathematical Gazette, 98(542), p. 304-316. DOI : 10.1017/S0025557200001340 
15 Luc Adjengue, Charles Audet, Imen Ben Yahia (2014). A variance-based method to rank input variables of the Mesh Adaptive Direct Search algorithmOptimization Letters, 8(5), p. 1599-1610. DOI : 10.1007/s11590-013-0688-4 
16 Aimen E. Gheribi, Sebastien Le Digabel, Charles Audet, Patrice Chartrand (2013). Identifying optimal conditions for magnesium based alloy design using the Mesh Adaptive Direct Search algorithm. Thermochimica Acta, 559, p. 107-110.
17 C. Audet, J. Ninin (2013). Maximal Perimeter, Diameter and Area of Equilateral Unit-Width Convex Polygons. Journal of Global Optimization, 56(3), p. 1007-1016.
18 C. Audet, S. Le Digabel, K. Diest, L.A. Sweatlock, D.E. Marthaler (2013). Metamaterial design by mesh adaptive direct search. Numerical methods for metamaterial design. p. 71-96.
19 C. Audet, P. Hansen, F. Messine, J. Ninin (2013). The Small Octagons of Maximal Width. Discrete & Computational Geometry, 49(3), p. 589-600.
20 C. Audet, C.-K. Dang, D. Orban (2013). Efficient use of parallelism in algorithmic parameter optimization applications. Optimization Letters, 7(3), p. 421-433.
21 S. Alarie, C. Audet, V. Garnier, S. Le Digabel, L. A. Leclaire (2013). Snow Water Equivalent Estimation Using Blackbox Optimization. Pacific Journal of Optimization, 9(1), p. 1-21.
22 Antoine Saucier, Charles Audet (2012). Construction of Sparse Signal Representations With Adaptive Multiscale Orthogonal Bases. Signal Processing, 92(6), p. 1446-1457.
23 A. E. Gheribi, C. Audet, S. Le Digabel, E. Belisle, C. W. Bale, A. D. Pelton (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, p. 135-143.
24 Slim Belhaiza, Charles Audet, Pierre Hansen (2012). On Proper Refinement of Nash Equilibria for Bimatrix Games. Automatica, 48(2), p. 297-303.
25 Charles Audet, Sebastien Le Digabel (2012). The Mesh Adaptive Direct Search Algorithm for Periodic Variables. Pacific Journal of Optimization, 8(1), p. 103-119.
26 Charles Audet, J. E., Jr. Dennis, Sebastien Le Digabel (2012). Trade-Off Studies in Blackbox Optimization. Optimization Methods & Software, 27(4-5), p. 613-624.
27 W. Zghal, C. Audet, G. Savard (2011). A new multi-objective approach for the portfolio selection problem with skewness. Advances in quantitative analysis of finance and accounting. Taiwan: Airiti Press. p. 317-335.
28 Aimen E. Gheribi, Christian Robelin, Sebastien Le Digabel, Charles Audet, Arthur D. Pelton (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), p. 1323-1330.
29 Charles Audet, Pierre Hansen, Sylvain Perron (2011). Remarks on solutions to a nonconvex quadratic programming test problem. Journal of Global Optimization, 50(2), p. 363-369.
30 Charles Audet, Anthony Guillou, Pierre Hansen, Frederic Messine, Sylvain Perron (2011). The small hexagon and heptagon with maximum sum of distances between vertices. Journal of Global Optimization, 49(3), p. 467-480.
31 Charles Audet (2011). A short proof on the cardinality of maximal positive bases. Optimization Letters, 5(1), p. 191-194.
32 S. Sankaran, C. Audet, A. L. Marsden (2010). A Method for Stochastic Constrained Optimization Using Derivative-Free Surrogate Pattern Search and Collocation. Journal of Computational Physics, 229(12), p. 4664-4682.
33 C. Audet, G. Savard, W. Zghal (2010). A mesh adaptive direct search algorithm for multiobjective optimization. European Journal of Operational Research, 204(3), p. 545-556.
34 C. Audet, X. Fournier, P. Hansen, F. Messine (2010). A Note on Diameters of Point Sets. Optimization Letters, 4(4), p. 585-595.
35 Charles Audet, J.E. Dennis Jr., Sebastien Le Digabel (2010). Globalization strategies for mesh adaptive direct search. Computational Optimization and Applications, 46(2), p. 193-215.
36 C. Audet, P. Hansen, F. Messine (2009). Simple Polygons of Maximum Perimeter Contained in a Unit Disk. Discrete & Computational Geometry, 41(2), p. 208-215.
37 Charles Audet, Pierre Hansen, Frederic Messine (2009). La saga des trois petits octogones. Pour la science, 380, p. 62-68.
38 Charles Audet, Pierre Hansen, Frederic Messine (2009). Ranking small regular polygons by area and by perimeter. Journal of Applied and Industrial Mathematics, 3(1), p. 21-27.
39 C. Audet, P. Hansen, F. Messine (2009). Isoperimetric polygons of maximum width. Discrete & Computational Geometry, 41(1), p. 45-60.
40 C. Audet, P. Hansen, F. Messine (2009). External problems for convex polygons-an update. Lectures on global optimization. Providence, R.I.: American Mathematical Society. p. 1-16.
41 C. Audet, J.E., Jr. Dennis (2009). A progressive barrier for derivative-free nonlinear programming. SIAM Journal on Optimization, 20(1), p. 445-472.
42 C. Audet, S. Balhaïza, P. Hansen (2009). A new sequence form apporach for the enumeration of all extreme nash equilibria for extensive form games. International Game Theory Review, 11(4), p. 437-451.
43 Mark A. Abramson, Charles Audet, J.E. Dennis Jr., Sebastien Le Digabel (2009). Orthomads: A deterministic MADS instance with orthogonal direct ions. SIAM Journal on Optimization, 20(2), p. 948-966.
44 Mark A. Abramson, Charles Audet, James W. Chrissis, Jennifer G. Walston (2009). Mesh adaptive direct search algorithms for mixed variable optimization. Optimization Letters, 3(1), p. 35-47.
45 K. R. Fowler, J. P. Reese, C. E. Kees, J. E. Dennis, C. T. Kelley, C. T. Miller, C. Audet, A. J. Booker, G. Couture, R. W. Darwin, M. W. Farthing, D. E. Finkel, J. M. Gablonsky, G. Gray, T. G. Kolda (2008). Comparison of Derivative-Free Optimization Methods for Groundwater Supply and Hydraulic Capture Community Problems. Advances in Water Resources, 31(5), p. 743-757.
46 C. Audet, G. Savard, W. Zghal (2008). Multiobjective Optimization Through a Series of Single-Objective Formulations. Siam Journal on Optimization, 19(1), p. 188-210.
47 C. Audet, P. Hansen, A. Karam, C. T. Ng, S. Perron (2008). Exact L-2-Norm Plane Separation. Optimization Letters, 2(4), p. 483-495.
48 C. Audet, J.E. Dennis, S. Le Digabel (2008). Parallel space decomposition of the mesh adaptive direct search algorithm. SIAM Journal on Optimization, 19(3), p. 1150-1170.
49 C. Audet, A. L. Custodio, J. E. Dennis (2008). Erratum : Mesh Adaptive Direct Search Algorithms for Constrained Optimization (Vol 17, Pg 188, 2006). SIAM Journal on Optimization, 18(4), p. 1501-1503.
50 C. Audet, V. Bechard, S. Le Digabel (2008). Nonsmooth Optimization Through Mesh Adaptive Direct Search and Variable Neighborhood Search. Journal of Global Optimization, 41(2), p. 299-318.
51 C. Audet, V. Bechard, J. Chaouki (2008). Spent Potliner Treatment Process Optimization Using a Mads Algorithm. Optimization and Engineering, 9(2), p. 143-160.
52 C. Audet, G. Savard, W. Zghal (2007). New Branch-and-Cut Algorithm for Bilevel Linear Programming. Journal of Optimization Theory and Applications, 134(2), p. 353-370.
53 C. Audet, P. Hansen, F. Messine (2007). The Small Octagon With Longest Perimeter. Journal of Combinatorial Theory Series A, 114(1), p. 135-150.
54 C. Audet, P. Hansen, F. Messine (2007). Extremal Problems for Convex Polygons. Journal of Global Optimization, 38(2), p. 163-179.
55 Charles Audet, Jean Haddad, Gilles Savard (2007). Disjunctive cuts for continuous linear bilevel programming. Optimization Letters, 1(3), p. 259-267.
56 Charles Audet, J.E. Dennis Jr. (2007). Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, 17(1), p. 188-217.
57 Mark A. Abramson, Charles Audet, J. E., Jr. Dennis (2007). Filter pattern search algorithms for mixed variable constrained optimization problems.. Pacific Journal of Optimization. An International Journal, 3(3), p. 477-500.
58 C. Audet, D. Orban (2006). Finding Optimal Algorithmic Parameters Using Derivative-Free Optimization. Siam Journal on Optimization, 17(3), p. 642-664.
59 C. Audet, P. Hansen, F. Messine (2006). Quatre petits octogones. MATAPLI, 108(1), p. 63-75.
60 C. Audet, J. Haddad, G. Savard (2006). A Note on the Definition of a Linear Bilevel Programming Solution. Applied Mathematics and Computation, 181(1), p. 351-355.
61 C. Audet, S. Belhaiza, P. Hansen (2006). Enumeration of all the extreme equilibria in game theory: bimatrix and polymatrix games. Journal of Optimization Theory and Applications, 129(3), p. 349-372.
62 M.A. Abramson, C. Audet, J.E. Dennis (2006). Nonlinear programming by mesh adaptive direct searches. SIAG, 17(1), p. 2-11.
63 M. A. Abramson, C. Audet (2006). Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points. Siam Journal on Optimization, 17(2), p. 606-619.
64 C. Audet, P. Hansen, F. Messine, S. Perron (2004). The Minimum Diameter Octagon With Unit-Length Sides: Vincze's Wife's Octagon Is Suboptimal. Journal of Combinatorial Theory Series a, 108(1), p. 63-75.
65 C. Audet, P. Hansen, S. Le Digabel (2004). Exact solution of three reconvex quadratic programming problems. Frontiers in global optimization. p. 25-43.
66 C. Audet, J. E. Dennis (2004). A Pattern Search Filter Method for Nonlinear Programming Without Derivatives. Siam Journal on Optimization, 14(4), p. 980-1010.
67 C. Audet, E. Carrizosa, P. Hansen (2004). An Exact Method for Fractional Goal Programming. Journal of Global Optimization, 29(1), p. 113-120.
68 C. Audet, J. Brimberg, P. Hansen, S. Le Digabel, N. Mladenovic (2004). Pooling Problem: Alternate Formulations and Solution Methods. Management Science, 50(6), p. 761-776.
69 C. Audet (2004). Convergence Results for Generalized Pattern Search Algorithms Are Tight. Optimization and Engineering, 5(2), p. 101-122.
70 M. A. Abramson, C. Audet, J. E. Dennis (2004). Generalized Pattern Searches With Derivative Information. Mathematical Programming, 100(1), p. 3-25.
71 M.-S. Ouali, H. Aoudjit, C. Audet (2003). Optimisation des stratégies de maintenance intégration à la production. Journal européen des systèmes automatisés, 37(5), p. 587-605.
72 R.E. Hayes, F.H. Bertrand, C. Audet, S.T. Kolaczkowski (2003). Catalytic combustion kinetics: using a direct search algorithm to evaluate kinetic parameters from light-off curves. Canadian journal of chemical engineering, 81(6), p. 1192-1199.
73 C. Audet, P. Hansen, F. Messine, S. Perron (2003). The minimum diameter octagon with unit-lenght sides: Vincze's wife's octagon is suboptimal. (Les cahiers du GERAD (Groupe d'études et de recherche en analyse des décisions); G-2003-59). .
74 C. Audet, J. E. Dennis (2003). Analysis of Generalized Pattern Searches. Siam Journal on Optimization, 13(3), p. 889-903.
75 C. Audet, S. Belhaïza, P. Hansen (2003). Enumeration of all extreme equilibria in game theory: bimatrix and polymatrix games. (Les cahiers du GERAD (Groupe d'études et de recherche en analyse des décisions); G-2003-63). .
76 C. Audet, P. Hansen, F. Messine, J. Xiong (2002). The largest small octagon. Journal of combinatorial theory, Series A, 98(1), p. 46-59.
77 M. Kokkolaras, C. Audet, J. E. Jr. Dennis (2001). Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Optimization and enginerring, 2(1), p. 5-29.
78 Charles Audet, P. Hansen, B. Jaumard, G. Savard (2001). Enumeration of All Extreme Equilibria of Bimatrix Games. SIAM journal on scientific computing, 23(1), p. 323-338.
79 Charles Audet, J. E. Dennis (2001). Pattern Search Algorithms for Mixed Variable Programming. Siam Journal on Optimization, 11(3), p. 573-594.
80 S. Alarie, Charles Audet, B. Jaurnard, G. Savard (2001). Concavity Cuts for Disjoint Bilinear Programming. Mathematical Programming, 90(2), p. 373-398.
81 Charles Audet, P. Hansen, B. Jaumard, G. Savard (2000). A Branch and Cut Algorithm for Nonconvex Quadratically Constrained Quadratic Programming. Mathematical Programming, 87(1), p. 131-152.
82 C. Audet, A. Booker, J. E. Jr Dennis, P. Frank, D. W. Moore (2000). Surrogate-model-based method for constrained optimization. AIAA.
83 Charles Audet, P. Hansen, B. Jaumard, G. Savard (1999). A Symmetrical Linear Maxmin Approach to Disjoint Bilinear Programming. Mathematical Programming, 85(3), p. 573-592.
84 Charles Audet, Pierre Hansen, Brigitte Jaumard, Gilles Savard (1998). On the linear maxmin and related programming problems. Multilevel Optimization: Algorithms and Applications, p. 181-208.
85 C. Audet, P. Hansen, B. Jaumard, G. Savard (1998). Enumeration of all extreme equilibrum strategies of bimatrix games. Eight international symposium on dynamic games and applications, p. 60-64.
86 Charles Audet, P. Hansen, B. Jaumard, G. Savard (1997). Links between linear bilevel and mixed 0-1 programming problems. Journal of optimization theory and applications, 93(2), p. 273-300.
87Audet, Charles. (1997). Optimisation globale structurée : propriétés, équivalences et résolution. (Thèse de doctorat). xviii, 177 pages.

 

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