NOMAD swMATH ID: 2916 Software Authors: Sébastien Le Digabel Description: Algorithm 909: NOMAD: Nonlinear Optimization with the MADS Algorithm. NOMAD is software that implements the Mesh Adaptive Direct Search (MADS) algorithm for blackbox optimization under general nonlinear constraints. Blackbox optimization is about optimizing functions that are usually given as costly programs with no derivative information and no function values returned for a significant number of calls attempted. NOMAD is designed for such problems and aims for the best possible solution with a small number of evaluations. The objective of this article is to describe the underlying algorithm, the software’s functionalities, and its implementation. Homepage: https://www.gerad.ca/nomad/Project/Home.html Keywords: neural modular architecture; mobile robots Related Software: OrthoMADS; EGO; MultiMin; DFL; BOBYQA; PSwarm; ORBIT; MLMSRBF; CUTEr; NEWUOA; SO-I; MISO; SifDec; CUTEst; DFBOX_IMPR; BFO; SNOBFIT; SDBOX; DFO; SDPEN Referenced in: 110 Publications all top 5 Referenced by 205 Authors 22 Audet, Charles 19 Le Digabel, Sébastien 8 Liuzzi, Giampaolo 7 Lucidi, Stefano 7 Tribes, Christophe 6 Müller, Juliane 6 Rinaldi, Francesco 5 Vicente, Luis Nunes 4 Conn, Andrew Roger 4 Kokkolaras, Michael 3 Boukouvala, Fani 3 Floudas, Christodoulos Achilleus 3 Gratton, Serge 3 Orban, Dominique 3 Racine, Jeffrey Scott 3 Sahinidis, Nikolaos V. 3 Sciandrone, Marco 3 Shoemaker, Christine A. 3 Talgorn, Bastien 3 Wild, Stefan M. 2 Alarie, Stéphane 2 Ali, Montaz M. 2 Bewley, Thomas R. 2 Beyhaghi, Pooriya 2 Bűrmen, Árpád 2 Csercsik, Dávid 2 Dennis, John E. jun. 2 Diouane, Youssef 2 Faruque Hasan, M. M. 2 García-Palomares, Ubaldo M. 2 Hare, W. 2 Lakhmiri, Dounia 2 Larson, Jeffrey 2 Ma, Shujie 2 Nannicini, Giacomo 2 Nutini, Julie 2 Peyrega, Mathilde 2 Ploskas, Nikolaos 2 Regis, Rommel G. 2 Toint, Philippe L. 1 Adjengue, Luc D. 1 Adulyasak, Yossiri 1 Agarwal, Deborah 1 Alimo, Ryan 1 Amaioua, Nadir 1 Armstrong, Jerawan C. 1 Arora, Bhavna 1 Bahrami, Salman 1 Bajaj, Ishan 1 Bale, Christopher W. 1 Balesdent, Mathieu 1 Béchard, Vincent 1 Bélisle, Eve 1 Ben Yahia, Imen 1 Berahas, Albert S. 1 Bhosekar, Atharv 1 Bigdeli, K. 1 Bigeon, Jean 1 Bingham, Derek R. 1 Birregah, Babiga 1 Bouchet, Pierre-Yves 1 Brasil, Daniel 1 Butyn, Emerson 1 Byrd, Richard H. 1 Cagan, Jonathan 1 Camponogara, Eduardo 1 Cartis, Coralia 1 Casella, Francesco 1 Chaouki, Jamal 1 Chartrand, Patrice 1 Châtelet, Éric 1 Cocchi, Guido 1 Congedo, Pietro Marco 1 Costa, Alberto L. C. 1 Côté-Massicotte, Julien 1 Côté, Pascal 1 Couderc, Romain 1 Crisóstomo, Manuel 1 D’Ambrosio, Claudia 1 Dang, C.-K. 1 Dang, Kien-Cong 1 Day, Marcus S. 1 de la Sen, Manuel 1 de Oliveira, Welington Luis 1 Devals, Christophe 1 Drake, R. Paul 1 Duhamel, Christophe 1 DuPont, Bryony 1 Durantin, Cédric 1 Durlofsky, Louis J. 1 Dzahini, Kwassi Joseph 1 Fajfar, Iztok 1 Fanucchi, Dario 1 Favorite, Jeffrey A. 1 Faybishenko, Boris A. 1 Fusi, F. 1 Galvan, Giulio 1 García-Urrea, Ildemaro J. 1 Garnier, Vincent 1 Gheribi, Aïmen E. ...and 105 more Authors all top 5 Referenced in 37 Serials 17 Computational Optimization and Applications 14 Journal of Global Optimization 13 Optimization and Engineering 8 Optimization Letters 5 SIAM Journal on Optimization 5 Optimization Methods & Software 4 European Journal of Operational Research 4 Computational and Applied Mathematics 4 Mathematical Programming Computation 3 ACM Transactions on Mathematical Software 2 Journal of Computational Physics 2 Annals of Operations Research 2 Applied Mathematical Modelling 2 INFORMS Journal on Computing 2 SN Operations Research Forum 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Optimization 1 Econometric Reviews 1 Mathematical Programming. Series A. Series B 1 Top 1 Statistica Sinica 1 International Transactions in Operational Research 1 Computational Geosciences 1 CEJOR. Central European Journal of Operations Research 1 Journal of Applied Mathematics 1 Acta Numerica 1 Networks and Spatial Economics 1 Pacific Journal of Optimization 1 The Annals of Applied Statistics 1 Methods in Molecular Biology 1 OJMO. Open Journal of Mathematical Optimization all top 5 Referenced in 15 Fields 97 Operations research, mathematical programming (90-XX) 25 Numerical analysis (65-XX) 8 Computer science (68-XX) 7 Statistics (62-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Referencing Publications by Year