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Photo of Charles Audet

Charles Audet

Professor
Department of Mathematical and Industrial Engineering

Publications at Polytechnique

The bibliographic data is extracted from Polytechnique Montréal’s directory of scientific publications. The list of publications below contains only those of a professor or researcher during his/her period of affiliation with Polytechnique Montréal. In addition, certain publications (ex. course notes, unpublished technical reports, etc.) are also not included. You can also search the online database Polytechnique Scientific Publications.

1Audet, C., Ninin, J. (2013). Maximal Perimeter, Diameter and Area of Equilateral Unit-Width Convex Polygons. Journal of Global Optimization, 56(3), p. 1007-1016. 
2Audet, C., Hansen, P., Messine, F., Ninin, J. (2013). The Small Octagons of Maximal Width. Discrete & Computational Geometry, 49(3), p. 589-600. 
3Gheribi, 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, p. 107-110. 
4Alarie, 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), p. 1-21. 
5Audet, C., Dang, C.-K., Orban, D. (2013). Efficient Use of Parallelism in Algorithmic Parameter Optimization Applications. Optimization Letters, 7(3), p. 421-433. 
6Adjengue, L., Audet, C., Ben Yahia, I. (2013). A Variance-Based Method to Rank Input Variables of the Mesh Adaptive Direct Search Algorithm. Optimization Letters, 8(5), p. 1599-1610. 
7Audet C., Le Digabel S., Diest K., Sweatlock L.A., Marthaler D.E. (2013). Metamaterial Design by Mesh Adaptive Direct Search. Numerical Methods for Metamaterial Design. p. 71-96.
8Saucier, A., Audet, C. (2012). Construction of Sparse Signal Representations With Adaptive Multiscale Orthogonal Bases. Signal Processing, 92(6), p. 1446-1457. 
9Gheribi, A.E., Audet, C., Le Digabel, S., Belisle, E., Bale, C.W., Pelton, A.D. (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. 
10Belhaiza, S., Audet, C., Hansen, P. (2012). On Proper Refinement of Nash Equilibria for Bimatrix Games. Automatica, 48(2), p. 297-303. 
11Audet, C., Dennis, J.E.Jr., Le Digabel, S. (2012). Trade-Off Studies in Blackbox Optimization. Optimization Methods & Software, 27(4-5), p. 613-624. 
12Audet, C., Le Digabel, S. (2012). The Mesh Adaptive Direct Search Algorithm for Periodic Variables. Pacific Journal of Optimization, 8(1), p. 103-119. 
13Audet, 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), p. 467-480. 
14Gheribi, A.E., Robelin, C., Digabel, S.L., Audet, C., Pelton, A.D. (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. 
15Audet, C. (2011). A Short Proof on the Cardinality of Maximal Positive Bases. Optimization Letters, 5(1), p. 191-194. 
16Audet, C., Hansen, P., Perron, S. (2011). Remarks on Solutions to a Nonconvex Quadratic Programming Test Problem. Journal of Global Optimization, 50(2), p. 363-369. 
17Zghal W., Audet C., Savard G. (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.
18Audet, C., Fournier, X., Hansen, P., Messine, F. (2010). A Note on Diameters of Point Sets. Optimization Letters, 4(4), p. 585-595. 
19Sankaran, 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), p. 4664-4682. 
20Audet, C., Dennis Jr., J.E., Le Digabel, S. (2010). Globalization Strategies for Mesh Adaptive Direct Search. Computational Optimization and Applications, 46(2), p. 193-215. 
21Audet, C., Savard, G., Zghal, W. (2010). A Mesh Adaptive Direct Search Algorithm for Multiobjective Optimization. European Journal of Operational Research, 204(3), p. 545-556. 
22Audet, C., Hansen, P., Perron, S. (2010). Remarks on Solutions to a Nonconvex Quadratic Programming Test Problem. Journal of Global Optimization, p. 1-7. 
23Audet, C., Hansen, P., Messine, F. (2009). La saga des trois petits octogones. Pour la science, 380, p. 62-68. 
24Audet, C., Dennis, J.E.Jr. (2009). A Progressive Barrier for Derivative-Free Nonlinear Programming. SIAM Journal on Optimization, 20(1), p. 445-472. 
25Abramson, 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), p. 948-966. 
26Audet, C., Hansen, P., Messine, F. (2009). Isoperimetric Polygons of Maximum Width. Discrete & Computational Geometry, 41(1), p. 45-60. 
27Audet, C., Hansen, P., Messine, F. (2009). Simple Polygons of Maximum Perimeter Contained in a Unit Disk. Discrete & Computational Geometry, 41(2), p. 208-215. 
28Abramson, M.A., Audet, C., Chrissis, J.W., Walston, J.G. (2009). Mesh Adaptive Direct Search Algorithms for Mixed Variable Optimization. Optimization Letters, 3(1), p. 35-47. 
29Audet, C., Hansen, P., Messine, F. (2009). Ranking Small Regular Polygons by Area and by Perimeter. Journal of Applied and Industrial Mathematics, 3(1), p. 21-27. 
30Audet C., Hansen P., Messine F. (2009). External Problems for Convex Polygons-an Update. Lectures on Global Optimization. Providence, R.I.: American Mathematical Society. p. 1-16.
31Audet, C., Balhaïza, S., Hansen, P. (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. 
32Audet, C., Custodio, A.L., Dennis, J.E. (2008). Erratum : Mesh Adaptive Direct Search Algorithms for Constrained Optimization (Vol 17, Pg 188, 2006). SIAM Journal on Optimization, 18(4), p. 1501-1503. 
33Audet, C., Hansen, P., Karam, A., Ng, C.T., Perron, S. (2008). Exact L-2-Norm Plane Separation. Optimization Letters, 2(4), p. 483-495. 
34Audet, C., Savard, G., Zghal, W. (2008). Multiobjective Optimization Through a Series of Single-Objective Formulations. Siam Journal on Optimization, 19(1), p. 188-210. 
35Fowler, 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), p. 743-757. 
36Audet, C., Bechard, V., Le Digabel, S. (2008). Nonsmooth Optimization Through Mesh Adaptive Direct Search and Variable Neighborhood Search. Journal of Global Optimization, 41(2), p. 299-318. 
37Audet, C., Bechard, V., Chaouki, J. (2008). Spent Potliner Treatment Process Optimization Using a Mads Algorithm. Optimization and Engineering, 9(2), p. 143-160. 
38Audet, C., Dennis, J.E., Le Digabel, S. (2008). Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm. SIAM Journal on Optimization, 19(3), p. 1150-1170. 
39Abramson, M.A., Audet, C., Dennis, J.E.Jr. (2007). Filter Pattern Search Algorithms for Mixed Variable Constrained Optimization Problems.. Pacific Journal of Optimization. An International Journal, 3(3), p. 477-500. 
40Audet, C., Savard, G., Zghal, W. (2007). New Branch-and-Cut Algorithm for Bilevel Linear Programming. Journal of Optimization Theory and Applications, 134(2), p. 353-370. 
41Audet, C., Hansen, P., Messine, F. (2007). Extremal Problems for Convex Polygons. Journal of Global Optimization, 38(2), p. 163-179. 
42Audet, C., Haddad, J., Savard, G. (2007). Disjunctive Cuts for Continuous Linear Bilevel Programming. Optimization Letters, 1(3), p. 259-267. 
43Audet, C., Dennis Jr., J.E. (2007). Mesh Adaptive Direct Search Algorithms for Constrained Optimization. SIAM Journal on Optimization, 17(1), p. 188-217. 
44Audet, C., Hansen, P., Messine, F. (2007). The Small Octagon With Longest Perimeter. Journal of Combinatorial Theory Series A, 114(1), p. 135-150. 
45Audet, 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), p. 349-372. 
46Audet, C., Orban, D. (2006). Finding Optimal Algorithmic Parameters Using Derivative-Free Optimization. Siam Journal on Optimization, 17(3), p. 642-664. 
47Audet, C., Haddad, J., Savard, G. (2006). A Note on the Definition of a Linear Bilevel Programming Solution. Applied Mathematics and Computation, 181(1), p. 351-355. 
48Abramson, M.A., Audet, C. (2006). Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points. Siam Journal on Optimization, 17(2), p. 606-619. 
49Abramson, M.A., Audet, C., Dennis, J.E. (2006). Nonlinear Programming by Mesh Adaptive Direct Searches. SIAG, 17(1), p. 2-11. 
50Audet, C., Hansen, P., Messine, F. (2006). Quatre petits octogones. MATAPLI, 108(1), p. 63-75. 
51Abramson, M.A., Audet, C., Dennis, J.E. (2004). Generalized Pattern Searches With Derivative Information. Mathematical Programming, 100(1), p. 3-25. 
52Audet, C., Brimberg, J., Hansen, P., Le Digabel, S., Mladenovic, N. (2004). Pooling Problem: Alternate Formulations and Solution Methods. Management Science, 50(6), p. 761-776. 
53Audet, C., Carrizosa, E., Hansen, P. (2004). An Exact Method for Fractional Goal Programming. Journal of Global Optimization, 29(1), p. 113-120. 
54Audet, C., Dennis, J.E. (2004). A Pattern Search Filter Method for Nonlinear Programming Without Derivatives. Siam Journal on Optimization, 14(4), p. 980-1010. 
55Audet, 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), p. 63-75. 
56Audet, C. (2004). Convergence Results for Generalized Pattern Search Algorithms Are Tight. Optimization and Engineering, 5(2), p. 101-122. 
57Audet C., Hansen P., Le Digabel S. (2004). Exact Solution of Three Reconvex Quadratic Programming Problems. Frontiers in Global Optimization. p. 25-43.
58Audet, C., Belhaïza, S., Hansen, P. (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). 
59Audet, C., Dennis, J.E. (2003). Analysis of Generalized Pattern Searches. Siam Journal on Optimization, 13(3), p. 889-903. 
60Audet, C., Hansen, P., Messine, F., Perron, S. (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). 
61Hayes, R.E., Bertrand, F.H., 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), p. 1192-1199. 
62Ouali, M.-S., Aoudjit, H., Audet, C. (2003). Optimisation des stratégies de maintenance intégration à la production. Journal européen des systèmes automatisés, 37(5), p. 587-605. 
63Audet, C., Hansen, P., Messine, F., Xiong, J. (2002). The Largest Small Octagon. Journal of Combinatorial Theory, Series A, 98(1), p. 46-59. 
64Alarie, S., Audet, C., Jaurnard, B., Savard, G. (2001). Concavity Cuts for Disjoint Bilinear Programming. Mathematical Programming, 90(2), p. 373-398. 
65Audet, C., Dennis, J.E. (2001). Pattern Search Algorithms for Mixed Variable Programming. Siam Journal on Optimization, 11(3), p. 573-594. 
66Audet, C., Hansen, P., Jaumard, B., Savard, G. (2001). Enumeration of All Extreme Equilibria of Bimatrix Games. SIAM Journal on Scientific Computing, 23(1), p. 323-338. 
67Kokkolaras, M., Audet, C., Dennis, J.E.Jr. (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. 
68Audet, C., Booker, A., Dennis, J.E.J., Frank, P., Moore, D.W. (2000). Surrogate-Model-Based Method for Constrained Optimization. AIAA.
69Audet, C., Hansen, P., Jaumard, B., Savard, G. (2000). A Branch and Cut Algorithm for Nonconvex Quadratically Constrained Quadratic Programming. Mathematical Programming, 87(1), p. 131-152. 
70Audet, C., Hansen, P., Jaumard, B., Savard, G. (1999). A Symmetrical Linear Maxmin Approach to Disjoint Bilinear Programming. Mathematical Programming, 85(3), p. 573-592. 
71Audet, C., Hansen, P., Jaumard, B., Savard, G. (1998). Enumeration of All Extreme Equilibrum Strategies of Biomatrix Games. Eight International Symposium on Dynamic Games and Applications, p. 60-64. 
72Audet, C., Hansen, P., Jaumard, B., Savard, G. (1998). On the Linear Maxmin and Related Programming Problems. Multilevel Optimization: Algorithms and Applications, p. 181-208. 
73Audet, Charles. (1997). Optimisation globale structurée : propriétés, équivalences et résolution. (Thèse de doctorat, École Polytechnique de Montréal). xviii, 177 p.
74Audet, 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), p. 273-300. 

 

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