Edit Profile (opens in new tab) Fiori, Simone Compute Distance To: Compute Author ID: fiori.simone Published as: Fiori, Simone; Fiori, S. External Links: ORCID · dblp Documents Indexed: 42 Publications since 1999 Co-Authors: 20 Co-Authors with 14 Joint Publications 799 Co-Co-Authors all top 5 Co-Authors 28 single-authored 4 Tanaka, Toshihisa 2 Celledoni, Elena 2 Kaneko, Tetsuya 1 Bucciarelli, Paolo 1 Cervigni, Italo 1 Del Buono, Nicoletta 1 Del Rossi, L. 1 Ippoliti, Mattia 1 Koudounas, Alkis 1 Lee, Yin 1 Leung, Chi-Sing 1 Menotta, Claudio 1 Politi, Tiziano 1 Prifti, Stilian 1 Sartori, Matteo 1 Sun, Huafei 1 Uehara, Takashi 1 Wang, Jing 1 Wang, Ze 1 Zhu, Yisheng all top 5 Serials 6 Neural Computation 4 IEEE Transactions on Signal Processing 3 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 SIAM Journal on Control and Optimization 2 Neurocomputing 2 Neural Processing Letters 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Linear and Multilinear Algebra 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Matrix Analysis and Applications 1 Neural Networks 1 Signal Processing 1 International Journal of Adaptive Control and Signal Processing 1 Pattern Recognition Letters 1 The Journal of Artificial Intelligence Research (JAIR) 1 Network: Computation in Neural Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Systems Science and Complexity 1 Journal of Machine Learning Research (JMLR) 1 Advances in Data Analysis and Classification. ADAC 1 Mathematical Control and Related Fields all top 5 Fields 15 Computer science (68-XX) 8 Numerical analysis (65-XX) 8 Information and communication theory, circuits (94-XX) 7 Systems theory; control (93-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 97 times in 56 Documents Cited by ▼ Year ▼ Empirical arithmetic averaging over the compact Stiefel manifold. Zbl 1394.62063Kaneko, Tetsuya; Fiori, Simone; Tanaka, Toshihisa 10 2013 Solving minimal-distance problems over the manifold of real-symplectic matrices. Zbl 1234.65032Fiori, Simone 9 2011 A theory for learning by weight flow on Stiefel-Grassman manifold. Zbl 0982.68111Fiori, Simone 8 2001 Neural learning by geometric integration of reduced ‘rigid-body’ equations. Zbl 1082.68095Celledoni, Elena; Fiori, Simone 8 2004 Nonlinear damped oscillators on Riemannian manifolds: fundamentals. Zbl 1417.34101Fiori, Simone 5 2016 A Riemannian-steepest-descent approach for optimization on the real symplectic group. Zbl 1415.65144Wang, Jing; Sun, Huafei; Fiori, Simone 5 2018 An algorithm to compute averages on matrix Lie groups. Zbl 1396.65094Fiori, Simone; Tanaka, Toshihisa 5 2009 A Riemannian steepest descent approach over the inhomogeneous symplectic group: application to the averaging of linear optical systems. Zbl 1410.65062Fiori, Simone 4 2016 Quasi-geodesic neural learning algorithms over the orthogonal group: a tutorial. Zbl 1222.68199Fiori, Simone 3 2005 Blind adaptation of stable discrete-time IIR filters in state-space form. Zbl 1373.94587Fiori, S. 3 2006 Tangent-bundle maps on the Grassmann manifold: application to empirical arithmetic averaging. Zbl 1394.94186Fiori, Simone; Kaneko, Tetsuya; Tanaka, Toshihisa 3 2015 Nonlinear complex-valued extensions of Hebbian learning: an essay. Zbl 1080.68090Fiori, Simone 3 2005 A control-theoretic approach to the synchronization of second-order continuous-time dynamical systems on real connected Riemannian manifolds. Zbl 1435.93052Fiori, Simone 3 2020 Lie-group-type neural system learning by manifold retractions. Zbl 1254.92009Fiori, Simone 3 2008 Blind separation of circularly distributed sources by neural extended APEX algorithm. Zbl 1009.68838Fiori, Simone 2 2000 Probability density estimation using adaptive activation function neurons. Zbl 1008.68718Fiori, Simone; Bucciarelli, Paolo 2 2001 A study on neural learning on manifold foliations: The case of the Lie group. Zbl 1147.68626Fiori, Simone 2 2008 An improved sequential method for principal component analysis. Zbl 1048.68093Wang, Ze; Lee, Yin; Fiori, Simone; Leung, Chi-Sing; Zhu, Yi-Sheng 2 2003 Nonlinear damped oscillators on Riemannian manifolds: numerical simulation. Zbl 07257490Fiori, Simone 2 2017 Synchronization of first-order autonomous oscillators on Riemannian manifolds. Zbl 1416.37078Fiori, Simone 2 2019 Auto-regressive moving-average discrete-time dynamical systems and autocorrelation functions on real-valued Riemannian matrix manifolds. Zbl 1351.37264Fiori, Simone 2 2014 Blind deconvolution by a Newton method on the non-unitary hypersphere. Zbl 1271.93155Fiori, S. 2 2013 Geodesic-based and projection-based neural blind deconvolution algorithms. Zbl 1186.94124Fiori, Simone 2 2008 Descent methods for optimization on homogeneous manifolds. Zbl 1162.65353Celledoni, Elena; Fiori, Simone 2 2008 Entropy optimization by the PFANN network: Application to blind source separation. Zbl 0939.92003Fiori, Simone 1 1999 Exact low-order polynomial expressions to compute the Kolmogoroff-Nagumo mean in the affine symplectic group of optical transference matrices. Zbl 1362.15003Fiori, Simone; Prifti, Stilian 1 2017 Notes on Bell-Sejnowski PDF-matching neuron. Zbl 1079.68587Fiori, Simone 1 2002 Kolmogoroff-Nagumo mean over the affine symplectic group of matrices. Zbl 1410.22003Fiori, Simone 1 2015 Gradient-based learning methods extended to smooth manifolds applied to automated clustering. Zbl 07246835Koudounas, Alkis; Fiori, Simone 1 2020 A control-theoretic approach to the synchronization of second-order continuous-time dynamical systems on real connected Riemannian manifolds. Zbl 1435.93052Fiori, Simone 3 2020 Gradient-based learning methods extended to smooth manifolds applied to automated clustering. Zbl 07246835Koudounas, Alkis; Fiori, Simone 1 2020 Synchronization of first-order autonomous oscillators on Riemannian manifolds. Zbl 1416.37078Fiori, Simone 2 2019 A Riemannian-steepest-descent approach for optimization on the real symplectic group. Zbl 1415.65144Wang, Jing; Sun, Huafei; Fiori, Simone 5 2018 Nonlinear damped oscillators on Riemannian manifolds: numerical simulation. Zbl 07257490Fiori, Simone 2 2017 Exact low-order polynomial expressions to compute the Kolmogoroff-Nagumo mean in the affine symplectic group of optical transference matrices. Zbl 1362.15003Fiori, Simone; Prifti, Stilian 1 2017 Nonlinear damped oscillators on Riemannian manifolds: fundamentals. Zbl 1417.34101Fiori, Simone 5 2016 A Riemannian steepest descent approach over the inhomogeneous symplectic group: application to the averaging of linear optical systems. Zbl 1410.65062Fiori, Simone 4 2016 Tangent-bundle maps on the Grassmann manifold: application to empirical arithmetic averaging. Zbl 1394.94186Fiori, Simone; Kaneko, Tetsuya; Tanaka, Toshihisa 3 2015 Kolmogoroff-Nagumo mean over the affine symplectic group of matrices. Zbl 1410.22003Fiori, Simone 1 2015 Auto-regressive moving-average discrete-time dynamical systems and autocorrelation functions on real-valued Riemannian matrix manifolds. Zbl 1351.37264Fiori, Simone 2 2014 Empirical arithmetic averaging over the compact Stiefel manifold. Zbl 1394.62063Kaneko, Tetsuya; Fiori, Simone; Tanaka, Toshihisa 10 2013 Blind deconvolution by a Newton method on the non-unitary hypersphere. Zbl 1271.93155Fiori, S. 2 2013 Solving minimal-distance problems over the manifold of real-symplectic matrices. Zbl 1234.65032Fiori, Simone 9 2011 An algorithm to compute averages on matrix Lie groups. Zbl 1396.65094Fiori, Simone; Tanaka, Toshihisa 5 2009 Lie-group-type neural system learning by manifold retractions. Zbl 1254.92009Fiori, Simone 3 2008 A study on neural learning on manifold foliations: The case of the Lie group. Zbl 1147.68626Fiori, Simone 2 2008 Geodesic-based and projection-based neural blind deconvolution algorithms. Zbl 1186.94124Fiori, Simone 2 2008 Descent methods for optimization on homogeneous manifolds. Zbl 1162.65353Celledoni, Elena; Fiori, Simone 2 2008 Blind adaptation of stable discrete-time IIR filters in state-space form. Zbl 1373.94587Fiori, S. 3 2006 Quasi-geodesic neural learning algorithms over the orthogonal group: a tutorial. Zbl 1222.68199Fiori, Simone 3 2005 Nonlinear complex-valued extensions of Hebbian learning: an essay. Zbl 1080.68090Fiori, Simone 3 2005 Neural learning by geometric integration of reduced ‘rigid-body’ equations. Zbl 1082.68095Celledoni, Elena; Fiori, Simone 8 2004 An improved sequential method for principal component analysis. Zbl 1048.68093Wang, Ze; Lee, Yin; Fiori, Simone; Leung, Chi-Sing; Zhu, Yi-Sheng 2 2003 Notes on Bell-Sejnowski PDF-matching neuron. Zbl 1079.68587Fiori, Simone 1 2002 A theory for learning by weight flow on Stiefel-Grassman manifold. Zbl 0982.68111Fiori, Simone 8 2001 Probability density estimation using adaptive activation function neurons. Zbl 1008.68718Fiori, Simone; Bucciarelli, Paolo 2 2001 Blind separation of circularly distributed sources by neural extended APEX algorithm. Zbl 1009.68838Fiori, Simone 2 2000 Entropy optimization by the PFANN network: Application to blind source separation. Zbl 0939.92003Fiori, Simone 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 96 Authors 18 Fiori, Simone 4 Celledoni, Elena 3 Absil, Pierre-Antoine 3 Birtea, Petre 3 Comănescu, Dan 3 Gao, Bin 3 Son, Nguyen Thanh 3 Stykel, Tatjana 2 Jin, Pengzhan 2 Owren, Brynjulf 2 Sato, Hiroyuki 2 Tang, Yifa 2 Zhu, Aiqing 2 Zhu, Xiaojing 1 Abrudan, Traian E. 1 Aizenberg, Igor 1 Alves, C. D. S. 1 Angulo, Jesús 1 Caşu, Ioan 1 Cervigni, Italo 1 Chakraborty, Rudrasis 1 Chen, Yi 1 Colombo, Leonardo Jesus 1 Del Rossi, L. 1 Duan, Xiaomin 1 Ehrhardt, Matthias Joachim 1 Eriksson, Jan R. 1 Etmann, Christian 1 Fajardo, Jesús A. 1 Freund, Roland W. 1 Gawlik, Evan S. 1 Goodman, Jacob R. 1 Gregório, Ronaldo M. 1 Horváth, Zoltán 1 Hou, Thomas Yizhao 1 Ippoliti, Mattia 1 Karniadakis, George Em 1 Koczkodaj, Waldemar W. 1 Koivunen, Visa 1 Krogstad, Stein 1 Leok, Melvin 1 Leung, Chi-Sing 1 Leung, Chi-Wai 1 Li, Zhenzhen 1 Liu, Haohuai 1 Liu, Huikang 1 Luo, Zhikun 1 Marek, V. Wiktor 1 Marthinsen, Håkon 1 McLachlan, Robert I. 1 McWilliams, Brian 1 Menotta, Claudio 1 Montana, Giovanni 1 Munthe-Kaas, Hans Z. 1 Nakatsukasa, Yuji 1 Ng, Chi-Keung 1 Nie, Yangang 1 Noakes, Lyle 1 Oja, Erkki 1 Oliveira, Paulo Roberto 1 Pan, Shing-Tai 1 Peng, Lei 1 Peng, Lingxi 1 Plumbley, Mark D. 1 Pomi, Andrés 1 Popa, Călin-Adrian 1 Prifti, Stilian 1 Ríos, Ricardo R. 1 Rodríguez, Luis Angel 1 Sartori, Matteo 1 Schönlieb, Carola-Bibiane 1 Sherry, Ferdia 1 Simoncini, Valeria 1 So, Anthony Man-Cho 1 Song, Yunfei 1 Sun, Huafei 1 Tanaka, Toshihisa 1 Terlaky, Tamás 1 Uehara, Takashi 1 Vegas, José Manuel 1 Vemuri, Baba C. 1 Wang, Jiaqing 1 Wang, Ze 1 Wong, Tien-Tsin 1 Wu, Weijie 1 Xiao, Zhong 1 Yayli, Yusuf 1 Ye, Yalan 1 Zanna, Antonella 1 Zeng, Jiazhi 1 Zhang, Erchuan 1 Zhang, Zhen 1 Zhang, Zhilin 1 Zhang, Ziyun 1 Zhu, Yisheng 1 Zufiria, Pedro J. all top 5 Cited in 39 Serials 5 Applied Mathematics and Computation 5 Neural Computation 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Matrix Analysis and Applications 3 Neural Networks 2 Monatshefte für Mathematik 2 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Control 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Bulletin of Mathematical Biology 1 The Annals of Statistics 1 BIT 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Computer Aided Geometric Design 1 International Journal of Approximate Reasoning 1 European Journal of Applied Mathematics 1 Signal Processing 1 International Journal of Adaptive Control and Signal Processing 1 Pattern Recognition 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 Advances in Applied Clifford Algebras 1 Advances in Computational Mathematics 1 Complexity 1 Mathematical Problems in Engineering 1 Soft Computing 1 Brazilian Journal of Probability and Statistics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Statistical Analysis and Data Mining 1 Mathematical Control and Related Fields 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 27 Fields 16 Numerical analysis (65-XX) 13 Computer science (68-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Differential geometry (53-XX) 7 Systems theory; control (93-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Biology and other natural sciences (92-XX) 4 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year