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Machine Learning for Signal Processing Laboratory

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Resources

We would like to acknowledge the support from the NSF, the NIH, the Center for Translational Research in Neuroimaging and Data Science (TReNDS), the Mind Research Network, and the US Army.
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• Single Dataset Algorithm
  • LibrarY of Complex ICA Algorithms (LYCIA) Toolbox
  • ICA Algorithms
• Joint/Simultaneous Multiset Decompositions
  • Independent vector analysis (IVA) Algorithms
  • Multiset canonical correlation analysis (CCA) Algorithms
• Random Data Generators
  • Real-valued multivariate generalized Gaussian (MGGD) generator
  • Complex-valued MGGD generator
  • Real-valued fMRI-like data
  • Complex-valued fMRI-like data
• Order Selection
• Reproducible Run Selection
• Other Resources
  • Python versions of selected algorithms

ICA algorithms		Matlab Code
LibrarY of Complex ICA Algorithms (LYCIA) Toolbox		LYCIA
Real-valued	General non-orthogonal	ICA-Infomax 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)
	Sparse-ICA	Sparse independent component analysis using entropy bound minimization (SparseICA-EBM)
	Constrained ICA	Non-orthogonal Constrained Extended Infomax (CD-Infomax) Fixed-threshold ICA by entropy bound minimization (C-EBM)
Complex-valued	General non-orthogonal	Complex-valued ICA by entropy bound minimization (complex ICA-EBM) Complex-valued ICA by entropy rate bound minimization(complex ICA-ERBM)
	Non-Gaussianity	Complex maximization of non-Gaussianity using transcendental functions (TCMN) Noncircular fastICA (nc-FastICA) Adaptable CMN (ACMN) Complex QAM (CQAM)

Joint/Simultaneous Multiset Decompositions	Matlab Code
Independent Vector Analysis (IVA)	IVA using multivariate Gaussian distribution (IVA-G) IVA using second-order uncorrelated multivariate Laplace distribution (IVA-L) IVA using second-order uncorrelated multivariate Laplace distribution and decoupled gradient optimization (IVA-L-Decp) IVA using second-order correlated multivariate Laplace distribution (IVA-L-SOS) Constrained IVA using second-order correlated multivariate Laplace distribution (Constrained-IVA-L-SOS) Adaptive constrained IVA using second-order correlated multivariate Laplace distribution (Adaptive-constrained-IVA-L-SOS) Adaptive-reverse constrained IVA with multivariate Gaussian distribution (ar-cIVA-G) Threshold-free constrained IVA with multivariate Gaussian distribution (tf-cIVA-G) IVA with the multivariate generalized Gaussian distribution (IVA-MGGD) IVA-MGGD incorporates prior information about the sources into the IVA cost function (arc-IVA-MGGD) IVA using multivariate power exponential distribution (IVA-MPE) also known as IVA-GGD IVA-GGD with adaptively tuned shape parameter and scalar matrix (IVA-A-GGD) IVA using multivariate generalized Gaussian distribution (IVA-cMGGD) Joint diagonalization using second-order statistics (JDIAG-SOS) Joint diagonalization using fourth-order cumulant (JDIAG-CUM4)
Multiset canonical correlation analysis (M-CCA)	M-CCA code

Random Data Generators	Matlab Code
Real-valued Multivariate Generalized Gaussian Distribution (MGGD)	MGGD Generation MGGD parameter estimation
Complex Generalized Gaussian Distribution (CGGD)	CGGD Generation CGGD parameter estimation Circularity detection
Complex Multivariate Generalized Gaussian Distribution (CMGGD)	CMGGD Generation
Real-valued fMRI-like Data	Real-valued (magnitude) fMRI-like data
Complex-valued fMRI-like Data	Complex-valued fMRI-like data

Order Selection	Matlab Code
Single Dataset	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	Principal Component Analysis and Canonical Correlation Analysis (PCA-CCA) codes
Non-circular PCA (ncPCA) for Complex-valued Data	ncPCA code

Reproducible Run Selection	Matlab Code
Cross-ISI for Consistent Run Selection	Cross-ISI code

Other resources	Matlab Code
Robustness test of iterative M-CCA	M-CCA robustness test codes
Subspace Partitioning	Subspace partitioning codes
Decoupled Optimization	Decoupling code
Linear Adaptive Filtering Using Entropy Bound Minimization	EBM filtering codes
Calcium Imaging Data Analysis	ICA with signal reconstruction and ordering (ICA+SRO) code
Raman spectroscopy	JCSD codes readme.txt Sample JCSD data
Data Fusion using C-ICT	Consecutive Independence and Correlation Transform (C-ICT)
Common Subspace Identification	IVA-CS Code