Contents
1 Introduction
2 Installation
3 Dictionary Learning and Matrix Factorization Toolbox
3.1 Function mexTrainDL
3.2 Function mexTrainDL_Memory
3.3 Function mexStructTrainDL
3.4 Function nmf
3.5 Function nnsc
3.6 Function mexArchetypalAnalysis
4 Sparse Decomposition Toolbox
4.1 Function mexOMP
4.2 Function mexOMPMask
4.3 Function mexRidgeRegression
4.4 Function mexLasso
4.5 Function mexLassoWeighted
4.6 Function mexLassoMask
4.7 Function mexCD
4.8 Function mexSOMP
4.9 Function mexL1L2BCD
4.10 Function mexSparseProject
4.11 Function mexDecompSimplex
5 Proximal Toolbox
5.1 Regularization Functions
5.2 Function mexProximalFlat
5.3 Function mexProximalTree
5.4 Function mexProximalGraph
5.5 Function mexProximalPathCoding
5.6 Function mexEvalPathCoding
5.7 Problems Addressed
5.7.1 Regression Problems with the Square Loss
5.7.2 Classification Problems with the Logistic Loss
5.7.3 Multi-class Classification Problems with the Softmax Loss
5.7.4 Multi-task Regression Problems with the Square Loss
5.7.5 Multi-task Classification Problems with the Logistic Loss
5.7.6 Multi-task and Multi-class Classification Problems with the Softmax Loss
5.8 Function mexFistaFlat
5.9 Function mexFistaTree
5.10 Function mexFistaGraph
5.11 Function mexFistaPathCoding
5.12 Function solverPoisson
5.13 Function mexIncrementalProx
5.14 Function mexStochasticProx
6 A few Functions for manipulating images
6.1 Function mexExtractPatches
6.2 Function mexCombinePatches
6.3 Function mexConvFistaFlat
7 Miscellaneous Functions
7.1 Function mexConjGrad
7.2 Function mexBayer
7.3 Function mexCalcAAt
7.4 Function mexCalcXAt
7.5 Function mexCalcXY
7.6 Function mexCalcXYt
7.7 Function mexCalcXtY
7.8 Function mexInvSym
7.9 Function mexNormalize
7.10 Function mexSort
7.11 Function displayPatches
7.12 Function mexCountPathsDAG
7.13 Function mexRemoveCyclesGraph
7.14 Function mexCountConnexComponents
7.15 Function mexGraphOfGroupStruct
7.16 Function mexGroupStructOfString
7.17 Function mexReadGroupStruct
7.18 Function mexTreeOfGroupStruct
7.19 Function mexSimpleGroupTree
A Duality Gaps with Fenchel Duality
A.0.1 Duality Gaps without Intercepts
A.0.2 Duality Gaps with Intercepts