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  "Version": "2.0.0",
  "Date": "2023-03-23",
  "Title": "Principal Tensor Analysis on k Modes",
  "Author": "Didier G. Leibovici (2010) <doi:10.18637/jss.v034.i10>",
  "Maintainer": "Didier G. Leibovici <GeotRYcs@gmail.com>",
  "Description": "A multiway method to decompose a tensor (array) of any\norder, as a generalisation of SVD also supporting non-identity\nmetrics and penalisations. 2-way SVD with these extensions is\nalso available. The package includes also some other multiway\nmethods: PCAn (Tucker-n) and PARAFAC/CANDECOMP with these\nextensions.",
  "License": "GPL (>= 2)",
  "URL": "https://www.GeotRYcs.com",
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    "APSOLUk",
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    "CauRuimet",
    "CONTRACTION",
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    "COS2",
    "CTR",
    "Detren",
    "FCA2",
    "FCAk",
    "FCAmet",
    "Ginv",
    "howtoPTAk",
    "INITIA",
    "IterMV",
    "Multcent",
    "PCAn",
    "plot.PTAk",
    "Powmat",
    "PPMA",
    "PROJOT",
    "PTA3",
    "PTAk",
    "RaoProd",
    "REBUILD",
    "REBUILDPCAn",
    "RESUM",
    "RiskJackplot",
    "SINGVA",
    "summary.FCAk",
    "summary.PTAk",
    "Susan1D",
    "svd.p",
    "SVDgen",
    "svdsmooth",
    "TENSELE",
    "toplist"
  ],
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      "title": "data used for demo in SVDgen, PTA3",
      "object": "crimerate",
      "file": "crimerate.RData",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "Murder",
        "Rape",
        "Robbery",
        "Assault",
        "Burglary",
        "Larceny",
        "AutoTheft"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "timage12",
      "title": "data used for demo in SVDgen, PTA3",
      "object": "timage12",
      "file": "timage12.RData",
      "class": [
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        "array"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "Zone_climTUN",
      "title": "data used for demo in SVDgen, PTA3",
      "object": "Zone_climTUN",
      "file": "Zone_climTUN.RData",
      "class": [
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      ],
      "fields": [],
      "table": false,
      "tojson": false
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  "_help": [
    {
      "page": "APSOLU3",
      "title": "Associated 3-modes Principal Tensors of a 3-modes Principal Tensor",
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      ]
    },
    {
      "page": "APSOLUk",
      "title": "Associated k-modes Principal Tensors of a k-modes Principal Tensor",
      "topics": [
        "APSOLUk"
      ]
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      "page": "CANDPARA",
      "title": "CANonical DECOMPosition analysis and PARAllel FACtor analysis",
      "topics": [
        "CANDPARA"
      ]
    },
    {
      "page": "CauRuimet",
      "title": "Robust estimation of within group varinace-covariance",
      "topics": [
        "CauRuimet"
      ]
    },
    {
      "page": "CONTRACTION",
      "title": "Contraction of two tensors",
      "topics": [
        "CONTRACTION",
        "CONTRACTION.list"
      ]
    },
    {
      "page": "COS2CTR.PTAk",
      "title": "Interpretation summaries",
      "topics": [
        "COS2",
        "CTR"
      ]
    },
    {
      "page": "datasets",
      "title": "data used for demo in SVDgen, PTA3",
      "topics": [
        "crimerate",
        "timage12",
        "Zone_climTUN"
      ]
    },
    {
      "page": "FCA2",
      "title": "Correspondence Analysis for 2-way tables",
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        "FCA2"
      ]
    },
    {
      "page": "FCAk",
      "title": "Generalisation of Correspondence Analysis for k-way tables",
      "topics": [
        "FCAk"
      ]
    },
    {
      "page": "FCAmet",
      "title": "Tool used in Generalisation of Correspondence Analysis for k-way tables",
      "topics": [
        "FCAmet"
      ]
    },
    {
      "page": "howtoPTAk",
      "title": "howto for Principal Tensors Analysis of a k-modes Tensor",
      "topics": [
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      ]
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      "page": "INITIA",
      "title": "Initialisation used in SINGVA",
      "topics": [
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      ]
    },
    {
      "page": "PCAn",
      "title": "Principal Component Analysis on n modes",
      "topics": [
        "PCAn"
      ]
    },
    {
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      "title": "Plot a PTAk object",
      "topics": [
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        "RiskJackplot"
      ]
    },
    {
      "page": "preprocessings",
      "title": "Few useful functions for preprocessing arrays",
      "topics": [
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        "IterMV",
        "Multcent",
        "preprocessings",
        "Susan1D"
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      "page": "PROJOT",
      "title": "Orthogonal Tensor projection",
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      ]
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    {
      "page": "PTA3",
      "title": "Principal Tensor Analysis on 3 modes",
      "topics": [
        "PTA3"
      ]
    },
    {
      "page": "PTAk",
      "title": "Principal Tensor Analysis on k modes",
      "topics": [
        "PTAk"
      ]
    },
    {
      "page": "PTAk-internal",
      "title": "Internal PTAk functions",
      "topics": [
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        "Powmat",
        "PPMA",
        "RaoProd",
        "REBUILDPCAn",
        "RESUM",
        "svd.p",
        "svdsmooth",
        "toplist"
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        "REBUILD"
      ]
    },
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      "title": "Optimisation algorithm RPVSCC",
      "topics": [
        "SINGVA"
      ]
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      "topics": [
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        "summary.PTAk"
      ]
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      "title": "SVD with metrics and smoothing approximation",
      "topics": [
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      ]
    },
    {
      "page": "TENSELE",
      "title": "Elementary Tensor product",
      "topics": [
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      ]
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