Resources

We would like to acknowledge the support from the NSF, the NIH, the Mind Research Network, and the US Army.

Matlab toolbox: LibrarY of Complex ICA Algorithms (LYCIA) Toolbox


Introduction to resource

Matlab code

Complex ICA Algorithms based on Non-Gaussianity Maximization Complex maximization of non-Gaussianity using transcendental functions (TCMN)
Noncircular fastICA (nc-FastICA)
Adaptable CMN (ACMN)
Complex QAM (CQAM)
ICA Algorithms based on Entropy Bound Minimization and Entropy Rate Minimization Real-valued ICA by entropy bound minimization (ICA-EBM)
Real-valued ICA by entropy rate bound minimization (ICA-ERBM)
Real-valued ICA by entropy rate minimization (ICA-ERM)
Complex-valued ICA by entropy bound minimization (complex ICA-EBM)
Complex-valued ICA by entropy rate bound minimization(complex ICA-ERBM)
Complex Generalized Gaussian Distribution (CGGD) CGGD Generation
CGGD parameter estimation
Circularity detection
Multivariate Generalized Gaussian Distribution (MGGD) MGGD Generation
MGGD parameter estimation
Simulating real-valued fMRI data Real-valued (magnitude) fMRI-like data
Simulating complex-valued fMRI data
Complex-valued fMRI-like data
Raman spectroscopy JCSD codes
readme.txt
Sample JCSD data
Subspace Partitioning Subspace partitioning codes
M-CCA Test of robustness of iterative M-CCA algorithms
Linear Adaptive Filtering Using Entropy Bound Minimization EBM filtering codes
Joint Blind Source Separation Multiset canonical correlation analysis (M-CCA)
Independent vector analysis using multivariate Gaussian distribution prior (IVA-G)
Joint diagonalization using second-order statistics (JDIAG-SOS)
Independent vector analysis using second-order uncorrelated multivariate Laplace distribution prior (IVA-L)
Independent vector analysis using second-order uncorrelated multivariate Laplace distribution prior and decoupled gradient optimization (IVA-L-Decp)
Joint diagonalization using fourth-order cumulant (JDIAG-CUM4)
Independent vector analysis using multivariate power exponential distribution prior (IVA-MPE) also known as IVA-GGD
Decoupled Optimization Decoupling code
Single Dataset Order Selection Eigenvalues of the down-sampled data (E-DS)
Joint estimation of the down-sampling depth and order (E-JDS)
Entropy-rate based order selection by finite memory length model (ER-FM) and autoregressive model (ER-AR)
Multiple Dataset Order Selection Principal Component Analysis and Canonical Correlation Analysis (PCA-CCA)
Constrained ICA Non-orthogonal Constrained Extended Infomax (CD-Infomax)
Model and Order Selection for Complex Data: Noncircular PCA Non-circular Principal Component Analysis (ncPCA)
Calcium Imaging Data Analysis Independent component analysis with signal reconstruction and ordering (ICA+SRO)