Dictionary learning algorithms for sparse representation
Neural Computation
Analysis of sparse representation and blind source separation
Neural Computation
Blind separation of speech mixtures via time-frequency masking
IEEE Transactions on Signal Processing
Performance analysis of minimum ℓ1-norm solutions for underdetermined source separation
IEEE Transactions on Signal Processing
Underdetermined blind source separation based on sparse representation
IEEE Transactions on Signal Processing
Sparse component analysis and blind source separation of underdetermined mixtures
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
An Efficient K-Hyperplane Clustering Algorithm and Its Application to Sparse Component Analysis
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Part II--Advances in Neural Networks
Underdetermined Blind Source Separation Using SVM
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
K-hyperline clustering learning for sparse component analysis
Signal Processing
K-hyperplanes clustering and its application to sparse component analysis
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
Matrix estimation based on normal vector of hyperplane in sparse component analysis
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
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In this paper we introduce a simple distance measure from a m-dimensional point a hyper-line in the complex-valued domain. Based on this distance measure, the K-EVD clustering algorithm is proposed for estimating the basis matrix A in sparse representation model X= AS+ N Compared to existing clustering algorithms, the proposed one has advantages in two aspects: it is very fast; furthermore, when the number of basis vectors is overestimated, this algorithm can estimate and identify the significant basis vectors which represent a basis matrix, thus the number of sources can be also precisely estimated. We have applied the proposed approach for blind source separation. The simulations show that the proposed algorithm is reliable and of high accuracy, even when the number of sources is unknown and/or overestimated.