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Charles Audet

Department of Mathematical and Industrial Engineering


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 C. Audet, M. Kokkolaras (2016). Blackbox and derivative-free optimization: theory, algorithms and applicationsOptimization and Engineering, 17(1), 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, C. Tribes (2016). Dynamic scaling in the mesh adaptive direct search algorithm for blackbox optimizationOptimization and Engineering, 17(2), p. 333-358. DOI : 10.1007/s11081-015-9283-0 
6 N. Amaioua, S. Le Digabel, C. Audet, A.R. Conn (2016). Efficient solution of quadratically constrained quadratic subproblems within a direct-search algorithm. Workshop on Nonlinear Optimization Algorithms and Industrial Applications.
7 J.A. Rodríguez, M.F. Anjos, C. Audet, P. Côté (2016). A decomposition approach for the hydropower operation and maintenance scheduling. Workshop on Nonlinear Optimization Algorithms and Industrial Applications.
8 C. Audet, S. Le Digabel, M. Peyrega (2015). Linear equalities in blackbox optimizationComputational Optimization and Applications, 61(1), 23 pages. DOI : 10.1007/s10589-014-9708-2 
9 A. Trabelsi, O.M. Ait, C. Audet (2015). Robust Parametric Modeling of Speech in Additive White NoiseJournal of Spinal and Information Processing, 6(2), p. 99-108. DOI : 10.4236/jsip.2015.62010 
10 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.
11 M. Minville, D. Cartier, C. Guay, L.-A. Leclaire, C. Audet, S. Le Digabel, J. Merleau (2014). Improving process representation in conceptual hydrological model calibration using climate simulationsWater Resources Research, 50(6), p. 5044-5073. DOI : 10.1002/2013WR013857 
12 E.M. Gertz, T. Hiekkalinna, S. Le Digabel, C. Audet, J.D. Terwilliger, A.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 
13 C. Audet, A. Ianni, S. Le Digabel, C. 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 
14 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 
15 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 
16 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 
17 C. Audet (2014). Ordering 15 marbles with a three-way scaleThe Mathematical Gazette, 98(542), p. 304-316. DOI : 10.1017/S0025557200001340 
18 L. Adjengue, C. Audet, I. 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 
19 A.E. Gheribi, S. Le Digabel, C. Audet, P. Chartrand (2013). Identifying optimal conditions for magnesium based alloy design using the Mesh Adaptive Direct Search algorithm. Thermochimica Acta, 559, p. 107-110.
20 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.
21 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.
22 C. Audet, P. Hansen, F. Messine, J. Ninin (2013). The Small Octagons of Maximal Width. Discrete & Computational Geometry, 49(3), p. 589-600.
23 C. Audet, C.-K. Dang, D. Orban (2013). Efficient use of parallelism in algorithmic parameter optimization applications. Optimization Letters, 7(3), p. 421-433.
24 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.
25 A. Saucier, C. Audet (2012). Construction of Sparse Signal Representations With Adaptive Multiscale Orthogonal Bases. Signal Processing, 92(6), p. 1446-1457.
26 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.
27 S. Belhaiza, C. Audet, P. Hansen (2012). On Proper Refinement of Nash Equilibria for Bimatrix Games. Automatica, 48(2), p. 297-303.
28 C. Audet, S. Le Digabel (2012). The Mesh Adaptive Direct Search Algorithm for Periodic Variables. Pacific Journal of Optimization, 8(1), p. 103-119.
29 C. Audet, J.E., Jr. Dennis, S. Le Digabel (2012). Trade-Off Studies in Blackbox Optimization. Optimization Methods & Software, 27(4-5), p. 613-624.
30 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.
31 A.E. Gheribi, C. Robelin, S.L. Digabel, C. Audet, A.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.
32 C. Audet, P. Hansen, S. Perron (2011). Remarks on solutions to a nonconvex quadratic programming test problem. Journal of Global Optimization, 50(2), p. 363-369.
33 C. Audet, A. Guillou, P. Hansen, F. Messine, S. Perron (2011). The small hexagon and heptagon with maximum sum of distances between vertices. Journal of Global Optimization, 49(3), p. 467-480.
34 C. Audet (2011). A short proof on the cardinality of maximal positive bases. Optimization Letters, 5(1), p. 191-194.
35 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.
36 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.
37 C. Audet, X. Fournier, P. Hansen, F. Messine (2010). A Note on Diameters of Point Sets. Optimization Letters, 4(4), p. 585-595.
38 C. Audet, J.E. Dennis Jr., S. Le Digabel (2010). Globalization strategies for mesh adaptive direct search. Computational Optimization and Applications, 46(2), p. 193-215.
39 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.
40 C. Audet, P. Hansen, F. Messine (2009). La saga des trois petits octogones. Pour la science, 380, p. 62-68.
41 C. Audet, P. Hansen, F. Messine (2009). Ranking small regular polygons by area and by perimeter. Journal of Applied and Industrial Mathematics, 3(1), p. 21-27.
42 C. Audet, P. Hansen, F. Messine (2009). Isoperimetric polygons of maximum width. Discrete & Computational Geometry, 41(1), p. 45-60.
43 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.
44 C. Audet, J.E., Jr. Dennis (2009). A progressive barrier for derivative-free nonlinear programming. SIAM Journal on Optimization, 20(1), p. 445-472.
45 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.
46 M.A. Abramson, C. Audet, J.E. Dennis Jr., S. Le Digabel (2009). Orthomads: A deterministic MADS instance with orthogonal direct ions. SIAM Journal on Optimization, 20(2), p. 948-966.
47 M.A. Abramson, C. Audet, J.W. Chrissis, J.G. Walston (2009). Mesh adaptive direct search algorithms for mixed variable optimization. Optimization Letters, 3(1), p. 35-47.
48 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.
49 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.
50 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.
51 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.
52 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.
53 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.
54 C. Audet, V. Bechard, J. Chaouki (2008). Spent Potliner Treatment Process Optimization Using a Mads Algorithm. Optimization and Engineering, 9(2), p. 143-160.
55 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.
56 C. Audet, P. Hansen, F. Messine (2007). The Small Octagon With Longest Perimeter. Journal of Combinatorial Theory Series A, 114(1), p. 135-150.
57 C. Audet, P. Hansen, F. Messine (2007). Extremal Problems for Convex Polygons. Journal of Global Optimization, 38(2), p. 163-179.
58 C. Audet, J. Haddad, G. Savard (2007). Disjunctive cuts for continuous linear bilevel programming. Optimization Letters, 1(3), p. 259-267.
59 C. Audet, J.E. Dennis Jr. (2007). Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, 17(1), p. 188-217.
60 M.A. Abramson, C. 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.
61 C. Audet, D. Orban (2006). Finding Optimal Algorithmic Parameters Using Derivative-Free Optimization. Siam Journal on Optimization, 17(3), p. 642-664.
62 C. Audet, P. Hansen, F. Messine (2006). Quatre petits octogones. MATAPLI, 108(1), p. 63-75.
63 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.
64 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.
65 M.A. Abramson, C. Audet, J.E. Dennis (2006). Nonlinear programming by mesh adaptive direct searches. SIAG, 17(1), p. 2-11.
66 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.
67 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.
68 C. Audet, P. Hansen, S. Le Digabel (2004). Exact solution of three reconvex quadratic programming problems. Frontiers in global optimization. p. 25-43.
69 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.
70 C. Audet, E. Carrizosa, P. Hansen (2004). An Exact Method for Fractional Goal Programming. Journal of Global Optimization, 29(1), p. 113-120.
71 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.
72 C. Audet (2004). Convergence Results for Generalized Pattern Search Algorithms Are Tight. Optimization and Engineering, 5(2), p. 101-122.
73 M.A. Abramson, C. Audet, J.E. Dennis (2004). Generalized Pattern Searches With Derivative Information. Mathematical Programming, 100(1), p. 3-25.
74 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.
75 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.
76 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). .
77 C. Audet, J.E. Dennis (2003). Analysis of Generalized Pattern Searches. Siam Journal on Optimization, 13(3), p. 889-903.
78 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). .
79 C. Audet, P. Hansen, F. Messine, J. Xiong (2002). The largest small octagon. Journal of combinatorial theory, Series A, 98(1), p. 46-59.
80 M. Kokkolaras, C. Audet, J.E.J. 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.
81 C. 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.
82 C. Audet, J.E. Dennis (2001). Pattern Search Algorithms for Mixed Variable Programming. Siam Journal on Optimization, 11(3), p. 573-594.
83 S. Alarie, C. Audet, B. Jaurnard, G. Savard (2001). Concavity Cuts for Disjoint Bilinear Programming. Mathematical Programming, 90(2), p. 373-398.
84 C. 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.
85 C. Audet, A. Booker, J.E.J. Dennis, P. Frank, D.W. Moore (2000). Surrogate-model-based method for constrained optimization. AIAA.
86 C. Audet, P. Hansen, B. Jaumard, G. Savard (1999). A Symmetrical Linear Maxmin Approach to Disjoint Bilinear Programming. Mathematical Programming, 85(3), p. 573-592.
87 C. Audet, P. Hansen, B. Jaumard, G. Savard (1998). On the linear maxmin and related programming problems. Multilevel Optimization: Algorithms and Applications, p. 181-208.
88 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.
89 C. 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.


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