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Author ID: fiori.simone Recent zbMATH articles by "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

Publications by Year

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 1394.62063
Kaneko, Tetsuya; Fiori, Simone; Tanaka, Toshihisa
10
2013
Solving minimal-distance problems over the manifold of real-symplectic matrices. Zbl 1234.65032
Fiori, Simone
9
2011
A theory for learning by weight flow on Stiefel-Grassman manifold. Zbl 0982.68111
Fiori, Simone
8
2001
Neural learning by geometric integration of reduced ‘rigid-body’ equations. Zbl 1082.68095
Celledoni, Elena; Fiori, Simone
8
2004
Nonlinear damped oscillators on Riemannian manifolds: fundamentals. Zbl 1417.34101
Fiori, Simone
5
2016
A Riemannian-steepest-descent approach for optimization on the real symplectic group. Zbl 1415.65144
Wang, Jing; Sun, Huafei; Fiori, Simone
5
2018
An algorithm to compute averages on matrix Lie groups. Zbl 1396.65094
Fiori, Simone; Tanaka, Toshihisa
5
2009
A Riemannian steepest descent approach over the inhomogeneous symplectic group: application to the averaging of linear optical systems. Zbl 1410.65062
Fiori, Simone
4
2016
Quasi-geodesic neural learning algorithms over the orthogonal group: a tutorial. Zbl 1222.68199
Fiori, Simone
3
2005
Blind adaptation of stable discrete-time IIR filters in state-space form. Zbl 1373.94587
Fiori, S.
3
2006
Tangent-bundle maps on the Grassmann manifold: application to empirical arithmetic averaging. Zbl 1394.94186
Fiori, Simone; Kaneko, Tetsuya; Tanaka, Toshihisa
3
2015
Nonlinear complex-valued extensions of Hebbian learning: an essay. Zbl 1080.68090
Fiori, Simone
3
2005
A control-theoretic approach to the synchronization of second-order continuous-time dynamical systems on real connected Riemannian manifolds. Zbl 1435.93052
Fiori, Simone
3
2020
Lie-group-type neural system learning by manifold retractions. Zbl 1254.92009
Fiori, Simone
3
2008
Blind separation of circularly distributed sources by neural extended APEX algorithm. Zbl 1009.68838
Fiori, Simone
2
2000
Probability density estimation using adaptive activation function neurons. Zbl 1008.68718
Fiori, Simone; Bucciarelli, Paolo
2
2001
A study on neural learning on manifold foliations: The case of the Lie group. Zbl 1147.68626
Fiori, Simone
2
2008
An improved sequential method for principal component analysis. Zbl 1048.68093
Wang, Ze; Lee, Yin; Fiori, Simone; Leung, Chi-Sing; Zhu, Yi-Sheng
2
2003
Nonlinear damped oscillators on Riemannian manifolds: numerical simulation. Zbl 07257490
Fiori, Simone
2
2017
Synchronization of first-order autonomous oscillators on Riemannian manifolds. Zbl 1416.37078
Fiori, Simone
2
2019
Auto-regressive moving-average discrete-time dynamical systems and autocorrelation functions on real-valued Riemannian matrix manifolds. Zbl 1351.37264
Fiori, Simone
2
2014
Blind deconvolution by a Newton method on the non-unitary hypersphere. Zbl 1271.93155
Fiori, S.
2
2013
Geodesic-based and projection-based neural blind deconvolution algorithms. Zbl 1186.94124
Fiori, Simone
2
2008
Descent methods for optimization on homogeneous manifolds. Zbl 1162.65353
Celledoni, Elena; Fiori, Simone
2
2008
Entropy optimization by the PFANN network: Application to blind source separation. Zbl 0939.92003
Fiori, Simone
1
1999
Exact low-order polynomial expressions to compute the Kolmogoroff-Nagumo mean in the affine symplectic group of optical transference matrices. Zbl 1362.15003
Fiori, Simone; Prifti, Stilian
1
2017
Notes on Bell-Sejnowski PDF-matching neuron. Zbl 1079.68587
Fiori, Simone
1
2002
Kolmogoroff-Nagumo mean over the affine symplectic group of matrices. Zbl 1410.22003
Fiori, Simone
1
2015
Gradient-based learning methods extended to smooth manifolds applied to automated clustering. Zbl 07246835
Koudounas, 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 1435.93052
Fiori, Simone
3
2020
Gradient-based learning methods extended to smooth manifolds applied to automated clustering. Zbl 07246835
Koudounas, Alkis; Fiori, Simone
1
2020
Synchronization of first-order autonomous oscillators on Riemannian manifolds. Zbl 1416.37078
Fiori, Simone
2
2019
A Riemannian-steepest-descent approach for optimization on the real symplectic group. Zbl 1415.65144
Wang, Jing; Sun, Huafei; Fiori, Simone
5
2018
Nonlinear damped oscillators on Riemannian manifolds: numerical simulation. Zbl 07257490
Fiori, Simone
2
2017
Exact low-order polynomial expressions to compute the Kolmogoroff-Nagumo mean in the affine symplectic group of optical transference matrices. Zbl 1362.15003
Fiori, Simone; Prifti, Stilian
1
2017
Nonlinear damped oscillators on Riemannian manifolds: fundamentals. Zbl 1417.34101
Fiori, Simone
5
2016
A Riemannian steepest descent approach over the inhomogeneous symplectic group: application to the averaging of linear optical systems. Zbl 1410.65062
Fiori, Simone
4
2016
Tangent-bundle maps on the Grassmann manifold: application to empirical arithmetic averaging. Zbl 1394.94186
Fiori, Simone; Kaneko, Tetsuya; Tanaka, Toshihisa
3
2015
Kolmogoroff-Nagumo mean over the affine symplectic group of matrices. Zbl 1410.22003
Fiori, Simone
1
2015
Auto-regressive moving-average discrete-time dynamical systems and autocorrelation functions on real-valued Riemannian matrix manifolds. Zbl 1351.37264
Fiori, Simone
2
2014
Empirical arithmetic averaging over the compact Stiefel manifold. Zbl 1394.62063
Kaneko, Tetsuya; Fiori, Simone; Tanaka, Toshihisa
10
2013
Blind deconvolution by a Newton method on the non-unitary hypersphere. Zbl 1271.93155
Fiori, S.
2
2013
Solving minimal-distance problems over the manifold of real-symplectic matrices. Zbl 1234.65032
Fiori, Simone
9
2011
An algorithm to compute averages on matrix Lie groups. Zbl 1396.65094
Fiori, Simone; Tanaka, Toshihisa
5
2009
Lie-group-type neural system learning by manifold retractions. Zbl 1254.92009
Fiori, Simone
3
2008
A study on neural learning on manifold foliations: The case of the Lie group. Zbl 1147.68626
Fiori, Simone
2
2008
Geodesic-based and projection-based neural blind deconvolution algorithms. Zbl 1186.94124
Fiori, Simone
2
2008
Descent methods for optimization on homogeneous manifolds. Zbl 1162.65353
Celledoni, Elena; Fiori, Simone
2
2008
Blind adaptation of stable discrete-time IIR filters in state-space form. Zbl 1373.94587
Fiori, S.
3
2006
Quasi-geodesic neural learning algorithms over the orthogonal group: a tutorial. Zbl 1222.68199
Fiori, Simone
3
2005
Nonlinear complex-valued extensions of Hebbian learning: an essay. Zbl 1080.68090
Fiori, Simone
3
2005
Neural learning by geometric integration of reduced ‘rigid-body’ equations. Zbl 1082.68095
Celledoni, Elena; Fiori, Simone
8
2004
An improved sequential method for principal component analysis. Zbl 1048.68093
Wang, Ze; Lee, Yin; Fiori, Simone; Leung, Chi-Sing; Zhu, Yi-Sheng
2
2003
Notes on Bell-Sejnowski PDF-matching neuron. Zbl 1079.68587
Fiori, Simone
1
2002
A theory for learning by weight flow on Stiefel-Grassman manifold. Zbl 0982.68111
Fiori, Simone
8
2001
Probability density estimation using adaptive activation function neurons. Zbl 1008.68718
Fiori, Simone; Bucciarelli, Paolo
2
2001
Blind separation of circularly distributed sources by neural extended APEX algorithm. Zbl 1009.68838
Fiori, Simone
2
2000
Entropy optimization by the PFANN network: Application to blind source separation. Zbl 0939.92003
Fiori, Simone
1
1999
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.

Citations by Year