Simone G. O. Fiori

Luca Ciaramicoli

Giovanni Berluti

Symmetry, October, 2023

2022

Manifold Calculus in System Theory and Control - Second Order Structures and Systems.

[BibT_eX]

[DOI]

Symmetry, 2022

Virtual Attractive-Repulsive Potentials Control Theory: A Review and an Extension to Riemannian Manifolds.

[BibT_eX]

[DOI]

Luca Bigelli

Federico Polenta

Symmetry, 2022

2021

Manifold Calculus in System Theory and Control - Fundamentals and First-Order Systems.

[BibT_eX]

[DOI]

Symmetry, 2021

Extension of PID Regulators to Dynamical Systems on Smooth Manifolds (M-PID).

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2021

Improvement and Assessment of a Blind Image Deblurring Algorithm Based on Independent Component Analysis.

[BibT_eX]

[DOI]

Comput., 2021

2020

A Control-Theoretic Approach to the Synchronization of Second-Order Continuous-Time Dynamical Systems on Real Connected Riemannian Manifolds.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2020

Gradient-based Learning Methods Extended to Smooth Manifolds Applied to Automated Clustering.

[BibT_eX]

[DOI]

Alkis Koudounas

J. Artif. Intell. Res., 2020

2019

A Closed-Form Expression of the Instantaneous Rotational Lurch Index to Evaluate Its Numerical Approximation.

[BibT_eX]

[DOI]

Symmetry, 2019

Glomerular Filtration Rate Estimation by a Novel Numerical Binning-Less Isotonic Statistical Bivariate Numerical Modeling Method.

[BibT_eX]

[DOI]

Sebastian Nicolas Giles

Inf., 2019

A comprehensive comparison of algorithms for the statistical modelling of non-monotone relationships via isotonic regression of transformed data.

[BibT_eX]

[DOI]

Int. J. Data Anal. Tech. Strateg., 2019

Statistical Modeling of Trivariate Static Systems: Isotonic Models.

[BibT_eX]

[DOI]

Andrea Vitali

Data, 2019

2018

Smooth statistical modeling of bivariate non-monotonic data by a three-stage LUT neural system.

[BibT_eX]

[DOI]

Nicola Fioranelli

Neural Comput. Appl., 2018

A Mobile Acquisition System and a Method for Hips Sway Fluency Assessment.

[BibT_eX]

[DOI]

Andrea Civita

Giuseppe Romani

Inf., 2018

Generalized Gaussian Kernel Adaptive Filtering.

[BibT_eX]

[DOI]

CoRR, 2018

2017

Robust Averaging of Covariances for EEG Recordings Classification in Motor Imagery Brain-Computer Interfaces.

[BibT_eX]

[DOI]

Neural Comput., 2017

An Improved Chaotic Optimization Algorithm Applied to a DC Electrical Motor Modeling.

[BibT_eX]

[DOI]

Ruben Di Filippo

Entropy, 2017

Nonlinear damped oscillators on Riemannian manifolds: Numerical simulation.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2017

2016

Nonlinear damped oscillators on Riemannian manifolds: Fundamentals.

[BibT_eX]

[DOI]

J. Syst. Sci. Complex., 2016

A Riemannian steepest descent approach over the inhomogeneous symplectic group: Application to the averaging of linear optical systems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

2015

Tangent-Bundle Maps on the Grassmann Manifold: Application to Empirical Arithmetic Averaging.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2015

A Smartphone-Based Acquisition System for Hips Rotation Fluency Assessment.

[BibT_eX]

[DOI]

Andrea Civita

Giuseppe Romani

CoRR, 2015

Bivariate Nonisotonic Statistical Regression by a Lookup Table Neural System.

[BibT_eX]

[DOI]

Tianxia Gong

Hwee Kuan Lee

Cogn. Comput., 2015

Kolmogoroff-Nagumo mean over the affine symplectic group of matrices.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

2014

Auto-Regressive Moving Average Models on Complex-Valued Matrix Lie Groups.

[BibT_eX]

[DOI]

Circuits Syst. Signal Process., 2014

A two-dimensional Poisson equation formulation of non-parametric statistical non-linear modeling.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2014

Mixed maps for learning a Kolmogoroff-Nagumo-type average element on the compact Stiefel manifold.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2014

2013

Empirical Arithmetic Averaging Over the Compact Stiefel Manifold.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2013

Fast statistical regression in presence of a dominant independent variable.

[BibT_eX]

[DOI]

Neural Comput. Appl., 2013

Mixed Maps for Kolmogoroff-Nagumo-Type Averaging on the Compact Stiefel Manifold

[BibT_eX]

[DOI]

CoRR, 2013

An isotonic trivariate statistical regression method.

[BibT_eX]

[DOI]

Adv. Data Anal. Classif., 2013

Random Clouds on Matrix Lie Groups.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - First International Conference, 2013

2012

Extended Hamiltonian Learning on Riemannian Manifolds: Numerical Aspects.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks Learn. Syst., 2012

Learning on the compact Stiefel manifold by a cayley-transform-based pseudo-retraction map.

[BibT_eX]

[DOI]

Proceedings of the 2012 International Joint Conference on Neural Networks (IJCNN), 2012

A method to compute averages over the compact Stiefel manifold.

[BibT_eX]

[DOI]

Proceedings of the 2012 IEEE International Conference on Acoustics, 2012

A comparison of two algorithmic recipes to parametrize rectangular orthogonal matrices.

[BibT_eX]

[DOI]

Proceedings of the Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, 2012

2011

Riemannian-Gradient-Based Learning on the Complex Matrix-Hypersphere.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2011

Extended Hamiltonian Learning on Riemannian Manifolds: Theoretical Aspects.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2011

Solving Minimal-Distance Problems over the Manifold of Real-Symplectic Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2011

Visualization of Riemannian-manifold-valued elements by multidimensional scaling.

[BibT_eX]

[DOI]

Neurocomputing, 2011

Statistical Nonparametric Bivariate Isotonic Regression by Look-Up-Table-Based Neural Networks.

[BibT_eX]

[DOI]

Proceedings of the Neural Information Processing - 18th International Conference, 2011

2010

Learning by natural gradient on noncompact matrix-type pseudo-Riemannian manifolds.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2010

A Closed-Form Solution to the Problem of Averaging over the Lie Group of Special Orthogonal Matrices.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Networks, 2010

A pseudo-Riemannian-gradient approach to the least-squares problem on the real symplectic group.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2010

2009

An algorithm to compute averages on matrix Lie groups.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2009

Computation of the Frechet mean, variance and interpolation for a pool of neural networks over the manifold of special orthogonal matrices.

[BibT_eX]

[DOI]

Int. J. Comput. Intell. Stud., 2009

On vector averaging over the unit hypersphere.

[BibT_eX]

[DOI]

Digit. Signal Process., 2009

Learning the Fréchet Mean over the Manifold of Symmetric Positive-Definite Matrices.

[BibT_eX]

[DOI]

Cogn. Comput., 2009

Learning-machines-committee Averages over the Unitary Group of Matrices.

[BibT_eX]

[DOI]

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2009), 2009

Learning averages over the lie group of symmetric positive-definite matrices.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference on Neural Networks, 2009

Learning averages over the lie group of unitary matrices.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference on Neural Networks, 2009

2008

Geodesic-based and projection-based neural blind deconvolution algorithms.

[BibT_eX]

[DOI]

Signal Process., 2008

Lie-group-type neural system learning by manifold retractions.

[BibT_eX]

[DOI]

Neural Networks, 2008

A Study on Neural Learning on Manifold Foliations: The Case of the Lie Group <i>SU</i>(3).

[BibT_eX]

[DOI]

Neural Comput., 2008

Descent methods for optimization on homogeneous manifolds.

[BibT_eX]

[DOI]

Elena Celledoni

Math. Comput. Simul., 2008

Engineering of intelligent systems (ICEIS 2006).

[BibT_eX]

[DOI]

Muhammad Mansoor Ahmed

K. Fukushima

Neurocomputing, 2008

Leap-frog-type learning algorithms over the Lie group of unitary matrices.

[BibT_eX]

[DOI]

Neurocomputing, 2008

Learning by Criterion Optimization on a Unitary Unimodular Matrix Group.

[BibT_eX]

[DOI]

Int. J. Neural Syst., 2008

Asymmetric Variate Generation via a Parameterless Dual Neural Learning Algorithm.

[BibT_eX]

[DOI]

Comput. Intell. Neurosci., 2008

An averaging method for a committee of special-orthogonal-group machines.

[BibT_eX]

[DOI]

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2008), 2008

Learning stepsize selection for the geodesic-based neural blind deconvolution algorithm.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference on Neural Networks, 2008

Generation of pseudorandom numbers with arbitrary distribution by learnable look-up-table-type neural networks.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference on Neural Networks, 2008

2007

Learning independent components on the orthogonal group of matrices by retractions.

[BibT_eX]

[DOI]

Neural Process. Lett., 2007

Neural Systems with Numerically Matched Input-Output Statistic: Isotonic Bivariate Statistical Modeling.

[BibT_eX]

[DOI]

Comput. Intell. Neurosci., 2007

Neural Learning by Retractions on Manifolds.

[BibT_eX]

[DOI]

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2007), 2007

Least Squares Approximate Joint Diagonalization on the Orthogonal Group.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2007

Neural Learning Algorithms Based on Mappings: The Case of the Unitary Group of Matrices.

[BibT_eX]

[DOI]

Proceedings of the Artificial Neural Networks, 2007

2006

Blind adaptation of stable discrete-time IIR filters in state-space form.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2006

Neural Systems with Numerically-Matched Input-Output Statistic: Variate Generation.

[BibT_eX]

[DOI]

Neural Process. Lett., 2006

Fixed-point neural independent component analysis algorithms on the orthogonal group.

[BibT_eX]

[DOI]

Future Gener. Comput. Syst., 2006

Simultaneous Tracking of the Best Basis in Reduced-Rank Wiener Filter.

[BibT_eX]

[DOI]

Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2005

Formulation and integration of learning differential equations on the stiefel manifold.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2005

Nonlinear Complex-Valued Extensions of Hebbian Learning: An Essay.

[BibT_eX]

[DOI]

Neural Comput., 2005

Quasi-Geodesic Neural Learning Algorithms Over the Orthogonal Group: A Tutorial.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2005

Geometrical methods in neural networks and learning.

[BibT_eX]

[DOI]

Shun-ichi Amari

Neurocomputing, 2005

2004

Fast fixed-point neural blind-deconvolution algorithm.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2004

Analysis of modified "Bussgang" algorithms (MBAs) for channel equalization.

[BibT_eX]

[DOI]

IEEE Trans. Circuits Syst. I Regul. Pap., 2004

One-unit 'rigid-bodies' learning rule for principal/independent component analysis with application to ECT-NDE signal processing.

[BibT_eX]

[DOI]

Neurocomputing, 2004

Relative uncertainty learning theory: an essay.

[BibT_eX]

[DOI]

Int. J. Neural Syst., 2004

Optical Flow Estimation via Neural Singular Value Decomposition Learning.

[BibT_eX]

[DOI]

Nicoletta Del Buono

Tiziano Politi

Proceedings of the Computational Science and Its Applications, 2004

2003

Nonsymmetric PDF estimation by artificial neurons: application to statistical characterization of reinforced composites.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2003

An improved sequential method for principal component analysis.

[BibT_eX]

[DOI]

Ze Wang

Yin Lee

Andrew Chi-Sing Leung

Yisheng Zhu

Pattern Recognit. Lett., 2003

Neural independent component analysis by "maximum-mismatch" learning principle.

[BibT_eX]

[DOI]

Neural Networks, 2003

Overview of independent component analysis technique with an application to synthetic aperture radar (SAR) imagery processing.

[BibT_eX]

[DOI]

Neural Networks, 2003

Closed-Form Expressions of Some Stochastic Adapting Equations for Nonlinear Adaptive Activation Function Neurons.

[BibT_eX]

[DOI]

Neural Comput., 2003

A feasibility study for electromagnetic pollution monitoring by electromagnetic-source localization via neural independent component analysis.

[BibT_eX]

[DOI]

Luciano Albini

Neurocomputing, 2003

Stiefel-Manifold Learning by Improved Rigid-Body Theory Applied to ICA.

[BibT_eX]

[DOI]

Roberto Rossi

Int. J. Neural Syst., 2003

Singular Value Decomposition Learning on Double Stiefel Manifold.

[BibT_eX]

[DOI]

Int. J. Neural Syst., 2003

2002

A theory for learning based on rigid bodies dynamics.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks, 2002

Complex Weighted One Unit 8216 Rigid Bodies 8217 Learning Rule for Independent Component Analysis.

[BibT_eX]

[DOI]

Neural Process. Lett., 2002

Hybrid independent component analysis by adaptive LUT activation function neurons.

[BibT_eX]

[DOI]

Neural Networks, 2002

Notes on Bell-Sejnowski PDF-Matching Neuron.

[BibT_eX]

[DOI]

Neural Comput., 2002

Blind deconvolution by simple adaptive activation function neuron.

[BibT_eX]

[DOI]

Neurocomputing, 2002

A Minor Subspace Algorithm Based on Neural Stiefel Dynamics.

[BibT_eX]

[DOI]

Int. J. Neural Syst., 2002

Unsupervised Neural Learning on Lie Group.

[BibT_eX]

[DOI]

Int. J. Neural Syst., 2002

Notes on cost functions and estimators for 'Bussgang' adaptive blind equalization.

[BibT_eX]

[DOI]

Eur. Trans. Telecommun., 2002

Nonsymmetric PDF approximation by artificial neurons: application to statistical characterization of reinforced composites.

[BibT_eX]

[DOI]

Proceedings of the 2002 International Symposium on Circuits and Systems, 2002

Blind electromagnetic source separation and localization.

[BibT_eX]

[DOI]

Proceedings of the 2002 International Symposium on Circuits and Systems, 2002

2001

On blind separation of complex-valued sources by extended Hebbian learning.

[BibT_eX]

[DOI]

IEEE Signal Process. Lett., 2001

A contribution to (neuromorphic) blind deconvolution by flexible approximated Bayesian estimation.

[BibT_eX]

[DOI]

Signal Process., 2001

Probability Density Estimation Using Adaptive Activation Function Neurons.

[BibT_eX]

[DOI]

Paolo Bucciarelli

Neural Process. Lett., 2001

A Theory for Learning by Weight Flow on Stiefel-Grassman Manifold.

[BibT_eX]

[DOI]

Neural Comput., 2001

Image compression using principal component neural networks.

[BibT_eX]

[DOI]

Saverio Costa

Image Vis. Comput., 2001

Probability Density Function Learning by Unsupervised Neurons.

[BibT_eX]

[DOI]

Int. J. Neural Syst., 2001

Topics in Blind Signal Processing by Neural Networks.

[BibT_eX]

[DOI]

Proceedings of the 12th Italian Workshop on Neural Nets, 2001

2000

An Experimental Comparison of Three PCA Neural Networks.

[BibT_eX]

[DOI]

Neural Process. Lett., 2000

Blind signal processing by the adaptive activation function neurons.

[BibT_eX]

[DOI]

Neural Networks, 2000

Blind separation of circularly distributed sources by neural extended APEX algorithm.

[BibT_eX]

[DOI]

Neurocomputing, 2000

Neural MCA for robust beamforming.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Symposium on Circuits and Systems, 2000

Improved psi-APEX Algorithm for Digital Image Compression.

[BibT_eX]

[DOI]

Saverio Costa

Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks, 2000

A Neural Network Approach to Maximum Likelihood Estimation for Eddy-Current Back-Scattering NDE Data Inversion.

[BibT_eX]

[DOI]

Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks, 2000

Stiefel-Grassman Flow (SGF) Learning: Further Results.

[BibT_eX]

[DOI]

Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks, 2000

Non-Destructive Test by the Hopfield Network.

[BibT_eX]

[DOI]

Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks, 2000

1999

Neural blind separation of complex sources by extended APEX algorithm (EAPEX).

[BibT_eX]

[DOI]

Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

Blind deconvolution by modified Bussgang algorithm.

[BibT_eX]

[DOI]

Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

A second-order differential system for orthonormal optimization.

[BibT_eX]

[DOI]

Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

Neural blind separation of complex sources by extended Hebbian learning (EGHA).

[BibT_eX]

[DOI]

Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

An efficient architecture for independent component analysis.

[BibT_eX]

[DOI]

Paola Baldassarri

Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

Non-uniform image sampling for robot motion control by the GFS neural algorithm.

[BibT_eX]

[DOI]

Alessandro Faustini

Proceedings of the International Joint Conference Neural Networks, 1999

Analytical results on pseudo-polynomial functional-link neural units for blind density shaping.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference Neural Networks, 1999

'Mechanical' neural learning and InfoMax orthonormal independent component analysis.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference Neural Networks, 1999

Classification of eddy current NDT data by probabilistic neural networks.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference Neural Networks, 1999

Complex independent component analysis by nonlinear generalized Hebbian learning with Rayleigh nonlinearity.

[BibT_eX]

[DOI]

Eraldo Pomponi

Proceedings of the 1999 IEEE International Conference on Acoustics, 1999

Weighted least-squares blind deconvolution.

[BibT_eX]

[DOI]

Proceedings of the 1999 IEEE International Conference on Acoustics, 1999

A comparison of three PCA neural techniques.

[BibT_eX]

[DOI]

Proceedings of the 7th European Symposium on Artificial Neural Networks, 1999

1998

A unified approach to laterally-connected neural NETS.

[BibT_eX]

[DOI]

Proceedings of the 9th European Signal Processing Conference, 1998

1997

A new unsupervised neural learning rule for orthonormal signal processing.

[BibT_eX]

[DOI]

Proceedings of the 1997 IEEE International Conference on Acoustics, 1997

A new IIR-MLP learning algorithm for on-line signal processing.

[BibT_eX]

[DOI]

Proceedings of the 1997 IEEE International Conference on Acoustics, 1997

Application of the MEC Network to Principal Component Analysis and Source Separation.

[BibT_eX]

[DOI]