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

General non-orthogonal real-valued ICA Algorithms 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)
General non-orthogonal complex-valued ICA Algorithms Complex-valued ICA by entropy bound minimization (complex ICA-EBM)
Complex-valued ICA by entropy rate bound minimization(complex ICA-ERBM)
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)
Complex Generalized Gaussian Distribution (CGGD) CGGD Generation
CGGD parameter estimation
Circularity detection
Multivariate Generalized Gaussian Distribution (MGGD) MGGD Generation
MGGD parameter estimation

Introduction to resource

Matlab code

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)
Independent vector analysis using second-order correlated multivariate Laplace distribution prior (IVA-L-SOS)
Joint diagonalization using fourth-order cumulant (JDIAG-CUM4)
Independent vector analysis using multivariate power exponential distribution prior (IVA-MPE) also known as IVA-GGD

Introduction to resource

Matlab code

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)
Sparse Independent Component Analysis Sparse independent component analysis using entropy bound minimization (SparseICA-EBM)