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 mexDisplayPatches
  • 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