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Blind Separation of Positive Sources by Globally Convergent Gradient Search

Erkki Oja, Mark Plumbley
2004 Neural Computation  
We further prove that in the Stiefel manifold of 3 orthogonal matrices, the cost function is a Lyapunov function for the matrix gradient flow, implying global convergence.  ...  We propose a cost function whose minimum coincides with non-negativity and derive the gradient algorithm under the whitening constraint, under which the separating matrix is orthogonal.  ...  Such a global convergence result is rather unique in ICA gradient methods.  ... 
doi:10.1162/0899766041336413 pmid:15265323 fatcat:m7hzr26eqjgdbj6vgg2uvtiv2i

A Blind Source Separation Algorithm Based on Dynamic Niching Particle Swarm Optimization

Hongjie Li, Zhen Li, Hongyi Li, S.A. Hamouda, M. Mirzaei, Z. Yu
2016 MATEC Web of Conferences  
By using DNPSO, which has global superiority, the performance of ICA will be improved in accuracy and convergence rate.  ...  In this paper, the dynamic niching particle swarm optimization (DNPSO) is proposed to solve linear blind source separation problem.  ...  The division of main swarm in DNPSO not only help guarantee the global optimum to be found in searching domain, but also improves the separation precision of blind source separation remarkably.  ... 
doi:10.1051/matecconf/20166103008 fatcat:plvreboyknagjgez2suq3sj3qm

Blind Source Separation based on Whale Optimization Algorithm

CHU Ding-li, CHEN Hong, CHEN Han-yi, J. Heled, A. Yuan
2018 MATEC Web of Conferences  
Aiming at the problem of linear instantaneous aliasing in blind source separation, a new method of blind signal separation using whale optimization algorithm is proposed in this paper, which provides a  ...  The simulation results show that the performance of whale optimization algorithm is better than that of particle swarm optimization for blind source separation, and it is effective for blind signal separation  ...  , so that WOA has better global search performance.  ... 
doi:10.1051/matecconf/201817303052 fatcat:jl3bnh6iaraifjcswacajncicy

Modified Particle Swarm Optimization for Blind Deconvolution and Identification of Multichannel FIR Filters

Vahid Khanagha, Ali Khanagha, Vahid Tabataba Vakili
2010 EURASIP Journal on Advances in Signal Processing  
Blind identification of MIMO FIR systems has widely received attentions in various fields of wireless data communications.  ...  However the most important promise of the modified version is its drastically faster convergence compared to standard implementation of PSO.  ...  Acknowledgment We gratefully acknowledge partial financial support of this research by the French Institut national de recherche en informatique et en automatique (INRIABordeaux SudOuest).  ... 
doi:10.1155/2010/716862 fatcat:44wkv62mr5garhmj2ck2viym5i

Lung Sounds Signal Separation Model of Medical Monitoring Based on Wireless Sensor Network

Beibei Dong, Bing Han, Jingjing Yang, Wei Peng
2015 International Journal of Multimedia and Ubiquitous Engineering  
separation of lung sounds signal, in order to improve the precision of the blind source separation of lung sound signals, then carried on the optimization of artificial fish behavior through tabu search  ...  First, using the optimization strategy of the flying speed and the effect between particles to two-way optimization for particle swarm optimization algorithm (PSOA), and then applied it to the blind source  ...  Blind source separation algorithm by looking for separation matrix W , also called solution mixing matrix.  ... 
doi:10.14257/ijmue.2015.10.12.11 fatcat:yabarpxgp5helbuneh6nnrohaq

Adaptive blind signal processing-neural network approaches

S. Amari, A. Cichocki
1998 Proceedings of the IEEE  
/equalization of independent source signals.  ...  Keywords-Blind deconvolution and equalization, blind separation of signals, independent component analysis (ICA), natural gradient learning, neural networks, self-adaptive learning rates, unsupervised  ...  The performance of the source separation is evaluated by the composite matrix which describes the total or global mixing-separating model such that .  ... 
doi:10.1109/5.720251 fatcat:jg337aeuxnd3rec634qd3qjfde

Blind Source Separation Based on Double-Mutant Butterfly Optimization Algorithm

Qingyu Xia, Yuanming Ding, Ran Zhang, Minti Liu, Huiting Zhang, Xiaoqi Dong
2022 Sensors  
The proposed method employs the kurtosis of the signal as the objective function. By optimizing the objective function, blind source separation of the signals is realized.  ...  The conventional blind source separation independent component analysis method has the problem of low-separation performance.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/s22113979 pmid:35684599 pmcid:PMC9182827 fatcat:q2cwehq6tfd7rc4jzsz3yjv6ya

A Novel Blind Source Separation Approach Based on Invasive Weed Optimization

Zhu-cheng LI, Xiang-lin HUANG
2018 DEStech Transactions on Computer Science and Engineering  
Traditional optimization algorithms for Blind Source Separation (BSS) are mainly based on the gradient, which requires the objective function to be continuous and differentiable, and have some defects  ...  such as slow convergence speed or poor accuracy of the solution.  ...  Introduction Blind Source Separation [1, 2] refers to the techniques which can estimate source signals using only several observed signals without prior knowledge of the source signals and mixing processing  ... 
doi:10.12783/dtcse/cnai2018/24131 fatcat:2zainp3mifh6ndyk65fkj3zree

Constrained Blind Separation Algorithm Using Variable Step Size and Variable Momentum Factor

Liu Lu, Ou Shifeng, Gao Ying
2019 International Journal of Intelligent Information Systems  
Based on the nonholonomic natural gradient algorithm, the cost function is constrained by the disturbance of the hybrid system and the constraint factors take the form of self-adaptive adjustment.  ...  Aiming at the problem of instantaneous blind separation in non-stationary environment, constrained blind separation algorithm using variable step size and variable momentum factor is proposed in this paper  ...  Acknowledgements This work is supported by the Natural Science Foundation of Shandong Province (No. ZR2017MF008).  ... 
doi:10.11648/j.ijiis.20190804.12 fatcat:ffp5z6zqczf5bl3oprz7tio6nq

Unsupervised learning with stochastic gradient

Harold Szu, Ivica Kopriva
2005 Neurocomputing  
A stochastic gradient is formulated based on deterministic gradient augmented with Cauchy simulated annealing capable to reach a global minimum with a convergence speed significantly faster when simulated  ...  In order to solve space-time variant inverse problems known as blind source separation, a novel Helmholtz free energy contrast function, H ¼ E À T 0 S; with imposed thermodynamics constraint at a constant  ...  As could be seen, standard gradient descent was trapped in the local minimum while stochastic gradient with Cauchy annealing managed to converge toward global minimum.  ... 
doi:10.1016/j.neucom.2004.11.010 fatcat:gkmkkmfkujhrjlzze5ygyugpsm

Compound fault diagnosis of aero-engine rolling element bearing based on CCA blind extraction

Wei-Tao Zhang, Xiao-Fan Ji, Ju Huang, Shun-Tian Lou
2021 IEEE Access  
The conjugate gradient method is adopted to optimize the CCA criterion, which not only speed up the convergence of the optimization algorithm, but also improves the reliability of the resulted algorithm  ...  As is known that the diagnosis of compound fault of aero-engine spindle bearing is very difficult and easily affected by other vibration interference signals.  ...  There are two kinds of methods to accomplish this task, the first one is the blind signal separation method (BSS), which can separate different signals simultaneously [27] , the other is the blind signal  ... 
doi:10.1109/access.2021.3130637 fatcat:3zqzcwyqqnewlnmoqnget5s32q

Properties of some blind equalization criteria in noisy multiuser environments

P.A. Regalia, M. Mboup
2001 IEEE Transactions on Signal Processing  
We also derive a global step-size bound for undermodeled cases, which ensures convergence of a gradient search procedure to an extremum of a blind cost function.  ...  By re-examining a gradient search procedure, we obtain domains of attraction of each extremum in a special "sufficient order" setting.  ...  DOMAINS OF ATTRACTION IN SUFFICIENT ORDER CASE We deduce now the domains of attraction of each convergent point of the gradient search procedure in the sufficient-order case .  ... 
doi:10.1109/78.969518 fatcat:ip6kh4etdfgbtd66zgvt3yb5nu

Glowworm Swarm Optimization and Its Application to Blind Signal Separation

Zhucheng Li, Xianglin Huang
2016 Mathematical Problems in Engineering  
Traditional optimization algorithms for blind signal separation (BSS) are mainly based on the gradient, which requires the objective function to be continuous and differentiable, so the applications of  ...  The simulation results prove that MGSO is more effective in capturing the global optimum of the objective function of the BSS algorithm and has faster convergence speed and higher accuracy, compared with  ...  It is the task of blind signal separation (BSS) to recover unknown independent source signals obtained from sensors.  ... 
doi:10.1155/2016/5481602 fatcat:mudazpximzefnj6hiqjsm2dsl4

A Class of Frobenius Norm-Based Algorithms Using Penalty Term and Natural Gradient for Blind Signal Separation

U. Manmontri, P.A. Naylor
2008 IEEE Transactions on Audio, Speech, and Language Processing  
The BP and OP algorithms, respectively, suitable for blind separation with offline and online data, are derived by using the nonstationarity and nonwhiteness of signals and the natural gradient method  ...  We consider the blind signal separation (BSS) problem of instantaneous mixtures using penalty term and natural gradient.  ...  the source signals for blind separation to be feasible.  ... 
doi:10.1109/tasl.2008.2001388 fatcat:hdcbi4sv6bfmhetfhwvdr7l36u

Independent component analysis based on adaptive artificial bee colony

Shi Zhang, Chao-Wei Bao, Hai-Bin Shen
2016 International Journal of Advanced Computer Research  
Simulation results show that the adaptive algorithm can separate the linear combinations of sub-Gaussian and super-Gaussian sources successfully and improve the accuracy of separation.  ...  The algorithm uses the Givens rotation to reduce the amount of variables to be solved. An adaptive global guidance item is introduced in searching strategy to dynamically adjust optimal guiding role.  ...  Conflicts of interest The authors have no conflicts of interest to declare.  ... 
doi:10.19101/ijacr.2016.625020 fatcat:ocwveurzzffezbekhiind7sram
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