Manopt swMATH ID: 8493 Software Authors: Nicolas Boumal; Bamdev Mishra; P.-A. Absil; Rodolphe Sepulchre Description: Manopt, a Matlab toolbox for optimization on manifolds. Optimization on manifolds is a rapidly developing branch of nonlinear optimization. Its focus is on problems where the smooth geometry of the search space can be leveraged to design efficient numerical algorithms. In particular, optimization on manifolds is well-suited to deal with rank and orthogonality constraints. Such structured constraints appear pervasively in machine learning applications, including low-rank matrix completion, sensor network localization, camera network registration, independent component analysis, metric learning, dimensionality reduction and so on. The Manopt toolbox, available at www.manopt.org , is a user-friendly, documented piece of software dedicated to simplify experimenting with state of the art Riemannian optimization algorithms. We aim particularly at reaching practitioners outside our field Homepage: http://www.manopt.org/ Dependencies: Matlab Related Software: RTRMC; Matlab; ROPTLIB; Pymanopt; UCI-ml; GitHub; SDPLR; PhaseLift; Julia; Manopt.jl; MADMM; PRMLT; KSSOLV; k-means++; CVX; R; GQTPAR; ALGENCAN; SDPT3; softImpute Referenced in: 121 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Manopt, a Matlab toolbox for optimization on manifolds. Zbl 1319.90003Boumal, Nicolas; Mishra, Bamdev; Absil, P.-A.; Sepulchre, Rodolphe 2014 all top 5 Referenced by 263 Authors 11 Absil, Pierre-Antoine 8 Boumal, Nicolas 6 Sato, Hiroyuki 6 Sra, Suvrit 5 Hosseini, Reshad 5 Mishra, Bamdev 4 Sugiyama, Masashi 3 Bendory, Tamir 3 Oviedo, Harry 3 Sepulchre, Rodolphe J. 3 Uschmajew, André 3 Yuan, Ya-xiang 2 Bergmann, Ronny 2 Bouchard, Florent 2 Dong, Shuyu 2 Gallivan, Kyle A. 2 Gao, Bin 2 Gousenbourger, Pierre-Yves 2 Hosseini, Seyedehsomayeh 2 Hu, Jiang 2 Kasai, Hiroyuki 2 Lara, Hugo J. 2 Li, Jiaofen 2 Massart, Estelle M. 2 Meyer, Gilles 2 Pfeffer, Max 2 Sasaki, Hiroaki 2 Tangkaratt, Voot 2 Trendafilov, Nickolay T. 2 Usevich, Konstantin 2 Wen, Zaiwen 2 Zhu, Xiaojing 1 Adachi, Kohei 1 Adragni, Kofi Placid 1 Afsari, Bijan 1 Agarwal, Naman 1 Aihara, Kensuke 1 Al-Najjar, Elias 1 Almeida, Yldenilson Torres 1 Amodei, Luca 1 Andrianesis, Panagiotis 1 Bach, Francis R. 1 Bai, Zhengjian 1 Balajewicz, Maciej J. 1 Bauer, Martin 1 Bethge, Matthias 1 Bonnabel, Silvère 1 Bortoloti, Marcio Antônio de A. 1 Breiding, Paul 1 Bruveris, Martins 1 Bullins, Brian 1 Cai, Jian-Feng 1 Cambier, Léopold 1 Caramanis, Michael C. 1 Cartis, Coralia 1 Cevher, Volkan 1 Chaudhury, Kunal Narayan 1 Chen, Hua 1 Chen, Sheng 1 Chen, Shixiang 1 Chen, Yenwei 1 Cherian, Anoop 1 Comon, Pierre 1 Congedo, Marco 1 Couillet, Romain 1 Courty, Nicolas 1 Cunningham, John P. 1 Cuturi, Marco 1 da Cruz Neto, João Xavier 1 Dalmau Cedeño, Oscar Susano 1 Dalmau, Oscar 1 Danaila, Ionut 1 Daniilidis, Kostas 1 De Bie, Tijl 1 de Oliveira Souza, João Carlos 1 De Sterck, Hans 1 Dong, Yuexiao 1 Dowell, Earl H. 1 Duan, Xuefeng 1 Duivesteijn, Wouter 1 Eckley, Idris A. 1 Edidin, Dan 1 Egeland, Olav 1 Ehler, Martin 1 Eldar, Yonina Chana 1 Eliasof, Moshe 1 Elser, Veit 1 Feng, Shoubo 1 Fercoq, Olivier 1 Fernandes, Teles A. 1 Ferreira, Orizon Pereira 1 Flamary, Rémi 1 Flammarion, Nicolas 1 Fontanella, Sara 1 Fox, Jamie 1 Francisco, Juliano B. 1 Gao, Junbin 1 Garcia-Salguero, Mercedes 1 Gebru, Tsegay Gebrehiwot 1 Ghahramani, Zoubin ...and 163 more Authors all top 5 Referenced in 50 Serials 16 SIAM Journal on Optimization 9 SIAM Journal on Matrix Analysis and Applications 6 SIAM Journal on Scientific Computing 5 Journal of Mathematical Imaging and Vision 5 Computational Optimization and Applications 5 SIAM Journal on Imaging Sciences 4 Machine Learning 4 Computational Statistics and Data Analysis 4 Journal of Machine Learning Research (JMLR) 3 Automatica 3 Neural Computation 3 Mathematical Programming. 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Series B 2 Neural Networks 2 Numerical Algorithms 2 Computational Statistics 2 Linear Algebra and its Applications 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Foundations of Computational Mathematics 2 Optimization Letters 2 Statistics and Computing 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Psychometrika 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Metron 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Journal of Scientific Computing 1 Journal of Global Optimization 1 Experimental Mathematics 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 Optimization Methods & Software 1 Data Mining and Knowledge Discovery 1 Multiscale Modeling & Simulation 1 Journal of Statistical Mechanics: Theory and Experiment 1 SIAM Journal on Financial Mathematics 1 JSIAM Letters 1 SIAM/ASA Journal on Uncertainty Quantification 1 Special Matrices 1 SIAM Journal on Mathematics of Data Science all top 5 Referenced in 31 Fields 60 Numerical analysis (65-XX) 59 Operations research, mathematical programming (90-XX) 28 Statistics (62-XX) 20 Computer science (68-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Differential geometry (53-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 9 Information and communication theory, circuits (94-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 4 Systems theory; control (93-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Referencing Publications by Year