Descent algorithms on oblique manifold for source-adaptive ICA contrast

SE Selvan, U Amato, KA Gallivan, C Qi… - … on Neural Networks …, 2012 - ieeexplore.ieee.org
A Riemannian manifold optimization strategy is proposed to facilitate the relaxation of the
orthonormality constraint in a more natural way in the course of performing independent …

Spherical mesh adaptive direct search for separating quasi-uncorrelated sources by range-based independent component analysis

SE Selvan, PB Borckmans, A Chattopadhyay… - Neural …, 2013 - ieeexplore.ieee.org
It is seemingly paradoxical to the classical definition of the independent component analysis
(ICA), that in reality, the true sources are often not strictly uncorrelated. With this in mind, this …

Uniqueness analysis of non-unitary matrix joint diagonalization

M Kleinsteuber, H Shen - IEEE Transactions on Signal …, 2013 - ieeexplore.ieee.org
Matrix Joint Diagonalization (MJD) is a powerful approach for solving the Blind Source
Separation (BSS) problem. It relies on the construction of matrices which are diagonalized …

Gershgorin analysis of random gramian matrices with application to mds tracking

D Macagnano, GTF de Abreu - IEEE Transactions on Signal …, 2010 - ieeexplore.ieee.org
We offer a redesigned form of the multidimensional scaling (MDS) algorithm suitable to the
simultaneous tracking of a large number of targets with no a priori mobility models. First, we …

Simultaneous source localization and polarization estimation via non-orthogonal joint diagonalization with vector-sensors

XF Gong, K Wang, QH Lin, ZW Liu, YG Xu - Sensors, 2012 - mdpi.com
Joint estimation of direction-of-arrival (DOA) and polarization with electromagnetic vector-
sensors (EMVS) is considered in the framework of complex-valued non-orthogonal joint …

Efficient algorithms for joint approximate diagonalization of multiple matrices

N Bosner - 2023 - researchsquare.com
Joint approximate diagonalization (JAD) of multiple matrices is a core problem in many
applications. In this work we propose two numerical methods for computing JAD, based on …

Intrinsic Newton's method on oblique manifolds for overdetermined blind source separation

M Kleinsteuber, H Shen - Proc. of the 19th International …, 2010 - mediatum.ub.tum.de
This paper studies the problem of Overdetermined Blind Source Separation (OdBSS), a
challenging problem in signal processing. It aims to recover desired sources from …

[PDF][PDF] Unconstrained optimizers for ICA learning on oblique manifold using Parzen density estimation

SE Selvana, U Amatob, C Qic, KA Gallivanc… - Dept. Math., Florida …, 2011 - math.fsu.edu
A Riemannian manifold optimization strategy is proposed to facilitate the relaxation of the
orthonormality constraint in a more natural way in the course of performing the independent …

Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization

M Kleinsteuber, H Shen - … , GSI 2015, Palaiseau, France, October 28-30 …, 2015 - Springer
In this work, we consider block-Jacobi methods with Newton steps in each subspace search
and prove their local quadratic convergence to a local minimum with non-degenerate …

A Block-Jacobi Algorithm for Non-Symmetric Joint Diagonalization of Matrices

H Shen, M Kleinsteuber - Latent Variable Analysis and Signal Separation …, 2015 - Springer
This paper studies the problem of Non-symmetric Joint Diagonalization (NsJD) of matrices,
namely, jointly diagonalizing a set of complex matrices by one matrix multiplication from the …