Edit Profile (opens in new tab) Poggio, Tomaso A. Co-Author Distance Author ID: poggio.tomaso-a Published as: Poggio, Tomaso; Poggio, T.; Poggio, Tomaso A. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 50 Publications since 1973 3 Contributions as Editor · 1 Further Contribution Co-Authors: 69 Co-Authors with 49 Joint Publications 820 Co-Co-Authors all top 5 Co-Authors 2 single-authored 5 Rosasco, Lorenzo A. 4 Mukherjee, Sayan 4 Pontil, Massimiliano 3 Evgeniou, Theodoros 3 Koch, Christof 3 Mhaskar, Hrushikesh N. 3 Riesenhuber, Maximilian 3 Rifkin, Ryan M. 3 Smale, Steve 2 Anselmi, Fabio 2 Banburski, Andrzej 2 Giese, Martin A. 2 Girosi, Federico 2 Heisele, Bernd 2 Palm, Günther 2 Rangamani, Akshay 2 Serre, Thomas 2 Torre, Vincent 2 Verri, Alessandro 2 Yuille, Alan L. 1 Albrecht, Duane G. 1 Alford, Simon 1 Angelo, Michael 1 Arbib, Michael A. 1 Bach, Francis R. 1 Barlow, Horace Basil 1 Borsellino, Antonio 1 Bouvrie, Jake 1 Brunelli, Roberto 1 Bülthoff, Heinrich H. 1 Caponnetto, Andrea 1 Chin, John 1 Chin, Peter 1 Dandekar, Sylee 1 de Valois, Russell L. 1 Edelman, Shimon 1 Eimas, P. D. 1 Ezzat, Tony 1 Fahle, Manfred 1 Freedman, David J. 1 Gamble, E. B. 1 Gandhi, Anshula 1 Ginsburg, A. P. 1 Golub, Todd R. 1 Itti, Laurent 1 Julesz, Bela 1 Knoblich, Ulf 1 Kouh, Minjoon 1 Kumar, Vinay P. 1 Lander, Eric Steven 1 Lawden, M. 1 Lee, Seongwhan 1 Leibo, Joel Z. 1 Liao, Qianli 1 Little, James J. 1 Louie, Jennifer 1 Marr, D. 1 Marroquin, Jose Luis 1 Mesirov, Jill P. 1 Miller, Earl K. 1 Mutch, Jim 1 Nakajima, Chikahito 1 Nayar, Shree K. 1 Nishihara, H. K. 1 Niyogi, Partha 1 Papageorgiou, Constantine 1 Prentice, Sam 1 Rakhlin, Alexander 1 Ramaswamy, Sridhar 1 Reich, Michael 1 Tacchetti, Andrea 1 Tamayo, Pablo 1 Uttal, W. R. 1 Villa, Silvia 1 Voorhees, H. 1 Wallraven, Christian 1 Walther, Dirk 1 Wang, Tony 1 Yeang, Chen-Hsiang 1 Yu, Angela J. all top 5 Serials 5 Biological Cybernetics 5 International Journal of Computer Vision 3 Analysis and Applications (Singapore) 2 Neural Computation 2 Pattern Recognition 2 SIAM Journal on Applied Mathematics 2 Advances in Computational Mathematics 2 Science 2 Information and Inference 1 Journal of the American Statistical Association 1 Theoretical Computer Science 1 Proceedings of the Royal Society of London. Series B. Biological Sciences 1 Journal of Complexity 1 Neural Networks 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Review 1 IEEE Transactions on Pattern Analysis and Machine Intelligence 1 Notices of the American Mathematical Society 1 Computational Statistics and Data Analysis 1 CVGIP: Image Understanding 1 Foundations of Computational Mathematics 1 Communications on Pure and Applied Analysis 1 Lecture Notes in Biomathematics 1 Lecture Notes in Computer Science 1 Kybernetik all top 5 Fields 45 Computer science (68-XX) 15 Biology and other natural sciences (92-XX) 7 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 919 times in 766 Documents Cited by ▼ Year ▼ Regularization algorithms for learning that are equivalent to multilayer networks. Zbl 1226.92005Poggio, T.; Girosi, F. 239 1990 Regularization networks and support vector machines. Zbl 0939.68098Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso 211 2000 Networks and the best approximation property. Zbl 0714.94029Girosi, F.; Poggio, T. 67 1990 Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233Mhaskar, H. N.; Poggio, T. 57 2016 The mathematics of learning: dealing with data. Zbl 1083.68100Poggio, Tomaso; Smale, Steve 56 2003 Probabilistic solution of ill-posed problems in computational vision. Zbl 0641.65100Marroquin, J.; Mitter, S.; Poggio, T. 25 1987 On optimal nonlinear associative recall. Zbl 0321.94001Poggio, T. 24 1975 Scaling theorems for zero crossings. Zbl 0575.94001Yuille, Alan L.; Poggio, Tomaso A. 22 1986 Learning theory: stability is sufficient for generalization and necessary and sufficient for consistency of empirical risk minimization. Zbl 1099.68693Mukherjee, Sayan; Niyogi, Partha; Poggio, Tomaso; Rifkin, Ryan 20 2006 The Volterra representation and the Wiener expansion: Validity and pitfalls. Zbl 0372.93023Palm, G.; Poggio, T. 19 1977 A trainable system for object detection. Zbl 1012.68680Papageorgiou, Constantine; Poggio, Tomaso 15 2000 Ill-posed problems in early vision: from computational theory to analogue networks. Zbl 0587.65085Poggio, T.; Koch, C. 14 1985 A regularized solution to edge detection. Zbl 0646.68100Poggio, T.; Voorhees, H.; Yuille, A. 13 1988 A canonical neural circuit for cortical nonlinear operations. Zbl 1137.92302Kouh, Minjoon; Poggio, Tomaso 10 2008 Convolution and correlation algebras. Zbl 0281.92002Borsellino, A.; Poggio, T. 10 1973 Biophysiologically plausible implementations of the maximum operation. Zbl 1079.92506Yu, Angela J.; Giese, Martin A.; Poggio, Tomaso A. 10 2002 Stochastic identification methods for nonlinear systems: An extension of the Wiener theory. Zbl 0383.93046Palm, G.; Poggio, T. 10 1978 A Volterra representation for some neuron models. Zbl 0396.92006Poggio, T.; Torre, V. 9 1977 Stability results in learning theory. Zbl 1101.68621Rakhlin, Alexander; Mukherjee, Sayan; Poggio, Tomaso 9 2005 On invariance and selectivity in representation learning. Zbl 1426.68233Anselmi, Fabio; Rosasco, Lorenzo; Poggio, Tomaso 8 2016 Theoretical issues in deep networks. Zbl 1485.68235Poggio, Tomaso; Banburski, Andrzej; Liao, Qianli 7 2020 Mathematics of the neural response. Zbl 1185.68813Smale, S.; Rosasco, L.; Bouvrie, J.; Caponnetto, A.; Poggio, T. 7 2010 Regularization and statistical learning theory for data analysis. Zbl 1072.62642Evgeniou, Theodoros; Poggio, Tomaso; Pontil, Massimiliano; Verri, Alessandro 6 2002 Statistical learning theory: A primer. Zbl 1012.68685Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso 6 2000 A new approach to synaptic interactions. Zbl 0398.92015Poggio, T.; Torre, V. 6 1978 Function approximation by deep networks. Zbl 1442.62215Mhaskar, H. N.; Poggio, T. 6 2020 Unsupervised learning of invariant representations. Zbl 1342.68264Anselmi, Fabio; Leibo, Joel Z.; Rosasco, Lorenzo; Mutch, Jim; Tacchetti, Andrea; Poggio, Tomaso 5 2016 An analytical method for multiclass molecular cancer classification. Zbl 1030.92017Rifkin, Ryan; Mukherjee, Sayan; Tamayo, Pablo; Ramaswamy, Sridhar; Yeang, Chen-Hsiang; Angelo, Michael; Reich, Michael; Poggio, Tomaso; Lander, Eric S.; Golub, Todd R.; Mesirov, Jill P. 5 2003 Hierarchical classification and feature reduction for fast face detection with support vector machines. Zbl 1045.68116Heisele, Bernd; Serre, Thomas; Prentice, Sam; Poggio, Tomaso 4 2003 Hyper BF networks for real object recognition. Zbl 0756.68094Brunelli, R.; Poggio, T. 3 1991 On the representation of multi-input systems: Computational properties of polynomial algorithms. Zbl 0465.68032Poggio, T.; Reichardt, W. 3 1980 Regression and classification with regularization. Zbl 1142.62371Mukherjee, Sayan; Rifkin, Ryan; Poggio, Tomaso 2 2003 Parallel integration of vision modules. Zbl 1226.68093Poggio, T.; Gamble, E. B.; Little, J. J. 2 1988 An analysis of training and generalization errors in shallow and deep networks. Zbl 1434.68513Mhaskar, H. N.; Poggio, T. 2 2020 Early visual learning. Zbl 0847.68003 1 1996 Networks that learn and how the brain works. Zbl 1067.68590Poggio, Tomaso 1 1997 Visual fixation and tracking by flies: Mathematical properties of simple control systems. Zbl 0464.92006Poggio, T.; Reichardt, W. 1 1981 Morphable models for the analysis and synthesis of complex motion patterns. Zbl 1012.68683Giese, Martin A.; Poggio, Tomaso 1 2000 Full-body person recognition system. Zbl 1045.68118Nakajima, Chikahito; Pontil, Massimiliano; Heisele, Bernd; Poggio, Tomaso 1 2003 Attentional selection for object recognition – A gentle way. Zbl 1033.68929Walther, Dirk; Itti, Laurent; Riesenhuber, Maximilian; Poggio, Tomaso; Koch, Christof 1 2002 The mathematics of learning: dealing with data. Zbl 1083.68589Poggio, T.; Smale, S. 1 2005 Theoretical issues in deep networks. Zbl 1485.68235Poggio, Tomaso; Banburski, Andrzej; Liao, Qianli 7 2020 Function approximation by deep networks. Zbl 1442.62215Mhaskar, H. N.; Poggio, T. 6 2020 An analysis of training and generalization errors in shallow and deep networks. Zbl 1434.68513Mhaskar, H. N.; Poggio, T. 2 2020 Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233Mhaskar, H. N.; Poggio, T. 57 2016 On invariance and selectivity in representation learning. Zbl 1426.68233Anselmi, Fabio; Rosasco, Lorenzo; Poggio, Tomaso 8 2016 Unsupervised learning of invariant representations. Zbl 1342.68264Anselmi, Fabio; Leibo, Joel Z.; Rosasco, Lorenzo; Mutch, Jim; Tacchetti, Andrea; Poggio, Tomaso 5 2016 Mathematics of the neural response. Zbl 1185.68813Smale, S.; Rosasco, L.; Bouvrie, J.; Caponnetto, A.; Poggio, T. 7 2010 A canonical neural circuit for cortical nonlinear operations. Zbl 1137.92302Kouh, Minjoon; Poggio, Tomaso 10 2008 Learning theory: stability is sufficient for generalization and necessary and sufficient for consistency of empirical risk minimization. Zbl 1099.68693Mukherjee, Sayan; Niyogi, Partha; Poggio, Tomaso; Rifkin, Ryan 20 2006 Stability results in learning theory. Zbl 1101.68621Rakhlin, Alexander; Mukherjee, Sayan; Poggio, Tomaso 9 2005 The mathematics of learning: dealing with data. Zbl 1083.68589Poggio, T.; Smale, S. 1 2005 The mathematics of learning: dealing with data. Zbl 1083.68100Poggio, Tomaso; Smale, Steve 56 2003 An analytical method for multiclass molecular cancer classification. Zbl 1030.92017Rifkin, Ryan; Mukherjee, Sayan; Tamayo, Pablo; Ramaswamy, Sridhar; Yeang, Chen-Hsiang; Angelo, Michael; Reich, Michael; Poggio, Tomaso; Lander, Eric S.; Golub, Todd R.; Mesirov, Jill P. 5 2003 Hierarchical classification and feature reduction for fast face detection with support vector machines. Zbl 1045.68116Heisele, Bernd; Serre, Thomas; Prentice, Sam; Poggio, Tomaso 4 2003 Regression and classification with regularization. Zbl 1142.62371Mukherjee, Sayan; Rifkin, Ryan; Poggio, Tomaso 2 2003 Full-body person recognition system. Zbl 1045.68118Nakajima, Chikahito; Pontil, Massimiliano; Heisele, Bernd; Poggio, Tomaso 1 2003 Biophysiologically plausible implementations of the maximum operation. Zbl 1079.92506Yu, Angela J.; Giese, Martin A.; Poggio, Tomaso A. 10 2002 Regularization and statistical learning theory for data analysis. Zbl 1072.62642Evgeniou, Theodoros; Poggio, Tomaso; Pontil, Massimiliano; Verri, Alessandro 6 2002 Attentional selection for object recognition – A gentle way. Zbl 1033.68929Walther, Dirk; Itti, Laurent; Riesenhuber, Maximilian; Poggio, Tomaso; Koch, Christof 1 2002 Regularization networks and support vector machines. Zbl 0939.68098Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso 211 2000 A trainable system for object detection. Zbl 1012.68680Papageorgiou, Constantine; Poggio, Tomaso 15 2000 Statistical learning theory: A primer. Zbl 1012.68685Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso 6 2000 Morphable models for the analysis and synthesis of complex motion patterns. Zbl 1012.68683Giese, Martin A.; Poggio, Tomaso 1 2000 Networks that learn and how the brain works. Zbl 1067.68590Poggio, Tomaso 1 1997 Early visual learning. Zbl 0847.68003 1 1996 Hyper BF networks for real object recognition. Zbl 0756.68094Brunelli, R.; Poggio, T. 3 1991 Regularization algorithms for learning that are equivalent to multilayer networks. Zbl 1226.92005Poggio, T.; Girosi, F. 239 1990 Networks and the best approximation property. Zbl 0714.94029Girosi, F.; Poggio, T. 67 1990 A regularized solution to edge detection. Zbl 0646.68100Poggio, T.; Voorhees, H.; Yuille, A. 13 1988 Parallel integration of vision modules. Zbl 1226.68093Poggio, T.; Gamble, E. B.; Little, J. J. 2 1988 Probabilistic solution of ill-posed problems in computational vision. Zbl 0641.65100Marroquin, J.; Mitter, S.; Poggio, T. 25 1987 Scaling theorems for zero crossings. Zbl 0575.94001Yuille, Alan L.; Poggio, Tomaso A. 22 1986 Ill-posed problems in early vision: from computational theory to analogue networks. Zbl 0587.65085Poggio, T.; Koch, C. 14 1985 Visual fixation and tracking by flies: Mathematical properties of simple control systems. Zbl 0464.92006Poggio, T.; Reichardt, W. 1 1981 On the representation of multi-input systems: Computational properties of polynomial algorithms. Zbl 0465.68032Poggio, T.; Reichardt, W. 3 1980 Stochastic identification methods for nonlinear systems: An extension of the Wiener theory. Zbl 0383.93046Palm, G.; Poggio, T. 10 1978 A new approach to synaptic interactions. Zbl 0398.92015Poggio, T.; Torre, V. 6 1978 The Volterra representation and the Wiener expansion: Validity and pitfalls. Zbl 0372.93023Palm, G.; Poggio, T. 19 1977 A Volterra representation for some neuron models. Zbl 0396.92006Poggio, T.; Torre, V. 9 1977 On optimal nonlinear associative recall. Zbl 0321.94001Poggio, T. 24 1975 Convolution and correlation algebras. Zbl 0281.92002Borsellino, A.; Poggio, T. 10 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,383 Authors 24 Zhou, Dingxuan 21 Pillonetto, Gianluigi 17 Sun, Hongwei 15 Poggio, Tomaso A. 12 Mhaskar, Hrushikesh N. 12 Rosasco, Lorenzo A. 12 Wu, Qiang 10 Chen, Dirong 9 Tong, Hongzhi 8 De Vito, Ernesto 8 Sanguineti, Marcello 8 Smale, Steve 8 Suykens, Johan A. K. 8 Zhang, Haizhang 7 Gnecco, Giorgio 7 Kalaba, Robert E. 7 Sheng, Baohuai 6 Costarelli, Danilo 6 Karniadakis, George Em 6 Lin, Shaobo 6 Pereverzev, Sergei V. 6 Vinti, Gianluca 6 Xiang, Dao-Hong 5 Caponnetto, Andrea 5 Unser, Michael A. 5 Zou, Bin 4 Cancelliere, Rossella 4 Chiuso, Alessandro 4 De Nicolao, Giuseppe 4 Gori, Marco 4 Jentzen, Arnulf 4 Koenderink, Jan J. 4 Kryzhanovsky, Boris 4 Kůrková, Věra 4 Li, Xin 4 Lindeberg, Tony 4 Ljung, Lennart 4 Lv, Shaogao 4 Meade, Andrew J. jun. 4 Pahikkala, Tapio 4 Raissi, Maziar 4 Shi, Lei 4 Skowron, Andrzej 4 Toh, Kar-Ann 4 Xiao, Quanwu 4 Xu, Jie 4 Yang, Fenghong 3 Airola, Antti 3 Aravkin, Aleksandr Y. 3 Bertsimas, Dimitris John 3 Bottegal, Giulio 3 Chen, Songcan 3 Chen, Tianshi 3 Chui, Charles Kam-tai 3 Daubechies, Ingrid Chantal 3 De Moor, Bart L. R. 3 Gai, Mario 3 Grohs, Philipp 3 Han, Fei 3 Hjalmarsson, Håkan 3 Juditsky, Anatoli B. 3 Kagiwada, Harriet H. 3 Kohler, Michael 3 Kutyniok, Gitta 3 Li, Luoqing 3 Moore, James E. II 3 Mukherjee, Sayan 3 Palm, Günther 3 Pieczynski, Wojciech 3 Pontil, Massimiliano 3 Schölkopf, Bernhard 3 Sivananthan, Sivalingam 3 Sjöberg, Jonas 3 Timofeeva, Yulia 3 Verri, Alessandro 3 Villa, Silvia 3 von der Malsburg, Christoph 3 Wang, Hong 3 Wang, Jianli 3 Wang, Rui 3 Xu, Yongli 3 Xu, Yuesheng 3 Ye, Gui-Bo 3 Ying, Yiming 2 Agamennoni, Osvaldo E. 2 Akbilgic, Oguz 2 Anderson, Charles W. 2 Anselmi, Fabio 2 Arndt, Petra A. 2 Aziznejad, Shayan 2 Barto, Andrew G. 2 Beghi, Luigi 2 Bengio, Yoshua 2 Benveniste, Albert 2 Billings, Stephen A. 2 Bisiacco, Mauro 2 Boberg, Jorma 2 Boucheron, Stéphane Vincent 2 Bousquet, Olivier 2 Bouvrie, Jake ...and 1,283 more Authors all top 5 Cited in 205 Serials 49 Biological Cybernetics 41 Neural Computation 36 Automatica 33 Neural Networks 31 Pattern Recognition 20 Analysis and Applications (Singapore) 19 Applied and Computational Harmonic Analysis 18 Journal of Complexity 18 Machine Learning 17 Applied Mathematics and Computation 17 Journal of Machine Learning Research (JMLR) 15 Advances in Computational Mathematics 14 Mathematical and Computer Modelling 13 Information Sciences 12 Journal of Mathematical Imaging and Vision 11 International Journal of Wavelets, Multiresolution and Information Processing 9 Journal of Approximation Theory 8 Computers & Mathematics with Applications 8 Fuzzy Sets and Systems 8 Journal of Computational and Applied Mathematics 7 Journal of Mathematical Analysis and Applications 7 The Annals of Statistics 7 Computational Statistics and Data Analysis 7 International Journal of Computer Vision 7 Foundations of Computational Mathematics 6 International Journal of Systems Science 6 Journal of the Franklin Institute 6 Journal of Mathematical Psychology 6 Constructive Approximation 5 International Journal of Control 5 Journal of Computational Physics 5 Journal of Statistical Planning and Inference 5 Physica D 4 Applicable Analysis 4 Journal of Multivariate Analysis 4 Statistical Science 4 Computational Mechanics 4 Journal of Global Optimization 4 International Journal of Computer Mathematics 4 Journal of Computational Neuroscience 4 Mathematical Problems in Engineering 4 SIAM Journal on Mathematics of Data Science 3 Artificial Intelligence 3 Mathematical Biosciences 3 Mathematics of Computation 3 Mathematics and Computers in Simulation 3 Operations Research 3 SIAM Journal on Control and Optimization 3 Theoretical Computer Science 3 Acta Applicandae Mathematicae 3 International Journal of Approximate Reasoning 3 Multidimensional Systems and Signal Processing 3 Computational Statistics 3 Applied Mathematical Modelling 3 Communications in Statistics. Simulation and Computation 3 European Journal of Operational Research 3 Proceedings of the National Academy of Sciences of the United States of America 3 Computational Optimization and Applications 3 SIAM Journal on Scientific Computing 3 The Journal of Fourier Analysis and Applications 3 Abstract and Applied Analysis 3 Computational Biology and Chemistry 3 Oberwolfach Reports 3 The Journal of Mathematical Neuroscience 2 Computer Methods in Applied Mechanics and Engineering 2 Physics Reports 2 Journal of Computer and System Sciences 2 Numerische Mathematik 2 Results in Mathematics 2 Systems & Control Letters 2 International Journal of Production Research 2 Econometric Reviews 2 Computers & Operations Research 2 Science in China. Series A 2 Annals of Operations Research 2 Journal of Statistical Computation and Simulation 2 Bulletin of the American Mathematical Society. New Series 2 Mathematical Programming. Series A. Series B 2 Advances in Engineering Software 2 Cybernetics and Systems Analysis 2 Annals of Mathematics and Artificial Intelligence 2 Complexity 2 Engineering Analysis with Boundary Elements 2 INFORMS Journal on Computing 2 Journal of Nonparametric Statistics 2 European Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Soft Computing 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Sādhanā 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Acta Numerica 2 Computational Management Science 2 EURASIP Journal on Advances in Signal Processing 2 Statistics and Computing 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications ...and 105 more Serials all top 5 Cited in 51 Fields 446 Computer science (68-XX) 196 Statistics (62-XX) 126 Biology and other natural sciences (92-XX) 115 Systems theory; control (93-XX) 110 Numerical analysis (65-XX) 73 Approximations and expansions (41-XX) 57 Information and communication theory, circuits (94-XX) 52 Operations research, mathematical programming (90-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Functional analysis (46-XX) 28 Probability theory and stochastic processes (60-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 20 Operator theory (47-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of deformable solids (74-XX) 6 Mathematical logic and foundations (03-XX) 6 Integral equations (45-XX) 6 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Differential geometry (53-XX) 3 Functions of a complex variable (30-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.