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Photo of Charles Audet

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 S. Séguin, S.-E. Fleten, P. Côté, A. Pichler, C. Audet (2017). Stochastic short-term hydropower planning with inflow scenario treesEuropean Journal of Operational Research, 259(3), p. 1156-1168. DOI : 10.1016/j.ejor.2016.11.028 
2 C. Audet (2017). Maximal Area of Equilateral Small PolygonsAmerican Mathematical Monthly, 124(2), p. 175-178. DOI : 10.4169/amer.math.monthly.124.2.175 
3 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 
4 C. Audet, P. Hansen, F. Messine (2016). La saga des trois octogones. Dossier Pour la science, 91(380), p. 20-25.
5 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 
6 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 
7 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 
8 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.
9 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.
10 C. Audet, W. Hare (2016). Algorithmic construction of the subdifferential from directional derivativesSet-Valued and Variational Analysis, 17 pages. DOI : 10.1007/s11228-016-0388-1 
11 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 
12 P. Côté, C. Audet, N. Amaioua, E. Bigeon, Q. Desreumaux, A. Ihaddadene, Y. Mir, J. Rodriguez, L. Zéphyr (2015). Planning of the maintenance outages for a set of hydroelectric turbogenerators. 6th Montreal Industrial Problem Solving Workshop.
13 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.
14 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 
15 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 
16 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 
17 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 
18 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 
19 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 
20 C. Audet (2014). Ordering 15 marbles with a three-way scaleMathematical Gazette, 98(542), p. 304-316. DOI : 10.1017/S0025557200001340 
21 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 
22 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.
23 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.
24 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.
25 C. Audet, P. Hansen, F. Messine, J. Ninin (2013). The Small Octagons of Maximal Width. Discrete & Computational Geometry, 49(3), p. 589-600.
26 C. Audet, C.-K. Dang, D. Orban (2013). Efficient use of parallelism in algorithmic parameter optimization applications. Optimization Letters, 7(3), p. 421-433.
27 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.
28 A. Saucier, C. Audet (2012). Construction of Sparse Signal Representations With Adaptive Multiscale Orthogonal Bases. Signal Processing, 92(6), p. 1446-1457.
29 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.
30 S. Belhaiza, C. Audet, P. Hansen (2012). On Proper Refinement of Nash Equilibria for Bimatrix Games. Automatica, 48(2), p. 297-303.
31 C. Audet, S. Le Digabel (2012). The Mesh Adaptive Direct Search Algorithm for Periodic Variables. Pacific Journal of Optimization, 8(1), p. 103-119.
32 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.
33 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.
34 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.
35 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.
36 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.
37 C. Audet (2011). A short proof on the cardinality of maximal positive bases. Optimization Letters, 5(1), p. 191-194.
38 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.
39 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.
40 C. Audet, X. Fournier, P. Hansen, F. Messine (2010). A Note on Diameters of Point Sets. Optimization Letters, 4(4), p. 585-595.
41 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.
42 C. Audet, , D. Orban (2010). Algorithmic parameter optimization of the DFO method with the OPAL frameworkSoftware Automatic Tuning: From Concepts to State-of-the-Art Results. New-York, NY: Springer. p. 255-274. DOI : 10.1007/978-1-4419-6935-4_15 
43 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.
44 C. Audet, P. Hansen, F. Messine (2009). La saga des trois petits octogones. Pour la science, 380, p. 62-68.
45 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.
46 C. Audet, P. Hansen, F. Messine (2009). Isoperimetric polygons of maximum width. Discrete & Computational Geometry, 41(1), p. 45-60.
47 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.
48 C. Audet, J.E., Jr. Dennis (2009). A progressive barrier for derivative-free nonlinear programming. SIAM Journal on Optimization, 20(1), p. 445-472.
49 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.
50 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.
51 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.
52 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.
53 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.
54 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.
55 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.
56 C. Audet, A.L. Custodio, J.E. Dennis (2008). Erratum: Mesh Adaptive Direct Search Algorithms for Constrained OptimizationSIAM Journal on Optimization, 18(4), p. 1501-1503. DOI : 10.1137/060671267 
57 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.
58 C. Audet, V. Bechard, J. Chaouki (2008). Spent Potliner Treatment Process Optimization Using a Mads Algorithm. Optimization and Engineering, 9(2), p. 143-160.
59 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.
60 C. Audet, P. Hansen, F. Messine (2007). The Small Octagon With Longest Perimeter. Journal of Combinatorial Theory, Series A, 114(1), p. 135-150.
61 C. Audet, P. Hansen, F. Messine (2007). Extremal Problems for Convex Polygons. Journal of Global Optimization, 38(2), p. 163-179.
62 C. Audet, J. Haddad, G. Savard (2007). Disjunctive cuts for continuous linear bilevel programming. Optimization Letters, 1(3), p. 259-267.
63 C. Audet, J.E. Dennis Jr. (2007). Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, 17(1), p. 188-217.
64 M.A. Abramson, C. Audet, J.E., Jr. Dennis (2007). Filter pattern search algorithms for mixed variable constrained optimization problems.. Pacific Journal of Optimization, 3(3), p. 477-500.
65 C. Audet, D. Orban (2006). Finding Optimal Algorithmic Parameters Using Derivative-Free Optimization. SIAM Journal on Optimization, 17(3), p. 642-664.
66 C. Audet, P. Hansen, F. Messine (2006). Quatre petits octogones. MATAPLI, 108(1), p. 63-75.
67 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.
68 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.
69 M.A. Abramson, C. Audet, J.E. Dennis (2006). Nonlinear programming by mesh adaptive direct searches. SIAG/Optimization Views-and-News, 17(1), p. 2-11.
70 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.
71 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.
72 C. Audet, P. Hansen, S. Le Digabel (2004). Exact solution of three reconvex quadratic programming problems. Frontiers in global optimization. p. 25-43.
73 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.
74 C. Audet, E. Carrizosa, P. Hansen (2004). An Exact Method for Fractional Goal Programming. Journal of Global Optimization, 29(1), p. 113-120.
75 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.
76 C. Audet (2004). Convergence Results for Generalized Pattern Search Algorithms Are Tight. Optimization and Engineering, 5(2), p. 101-122.
77 M.A. Abramson, C. Audet, J.E. Dennis (2004). Generalized Pattern Searches With Derivative Information. Mathematical Programming, 100(1), p. 3-25.
78 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.
79 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.
80 C. Audet, P. Hansen, F. Messine, S. Perron (2003). The minimum diameter octagon with unit-lenght sides: Vincze's wife's octagon is suboptimal. (Rapport G-2003-59). .
81 C. Audet, J.E. Dennis (2003). Analysis of Generalized Pattern Searches. SIAM Journal on Optimization, 13(3), p. 889-903.
82 C. Audet, S. Belhaïza, P. Hansen (2003). Enumeration of all extreme equilibria in game theory: bimatrix and polymatrix games. (Rapport G-2003-63). .
83 C. Audet, P. Hansen, F. Messine, J. Xiong (2002). The largest small octagon. Journal of Combinatorial Theory, Series A, 98(1), p. 46-59.
84 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.
85 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.
86 C. Audet, J.E. Dennis (2001). Pattern Search Algorithms for Mixed Variable Programming. SIAM Journal on Optimization, 11(3), p. 573-594.
87 S. Alarie, C. Audet, B. Jaurnard, G. Savard (2001). Concavity Cuts for Disjoint Bilinear Programming. Mathematical Programming, 90(2), p. 373-398.
88 C. Audet, P. Hansen, B. Jaumard, G. Savard (2000). A Branch and Cut Algorithm for Nonconvex Quadratically Constrained Quadratic ProgrammingMathematical Programming, 87(1), p. 131-152. DOI : 10.1007/s101079900106 
89 C. Audet, A. Booker, J.E.J. Dennis, P. Frank, D.W. Moore (2000). Surrogate-model-based method for constrained optimization8th AIAA/NASA/NASA/ISSMO Symposium on Multidisciplanary Analysis and Optimization. DOI : 10.2514/6.2000-4891 
90 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.
91 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.
92 C. Audet, P. Hansen, B. Jaumard, G. Savard (1998). Enumeration of all extreme equilibrum strategies of bimatrix games. 8th International Symposium on Dynamic Games and Applications, p. 60-64.
93 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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