{
  "_id": "6a250a7b4b233be198387c4e",
  "Package": "TRES",
  "Type": "Package",
  "Title": "Tensor Regression with Envelope Structure",
  "Version": "1.1.5",
  "Date": "2021-10-19",
  "Authors@R": "c(\nperson(\"Wenjing\", \"Wang\", email = \"wenjing.wang@stat.fsu.edu\", role = c(\"aut\")),\nperson(\"Jing\", \"Zeng\", email = \"jing.zeng@stat.fsu.edu\", role = c(\"aut\", \"cre\")),\nperson(\"Xin\", \"Zhang\", email = \"henry@stat.fsu.edu\", role = c(\"aut\")))",
  "Description": "Provides three estimators for tensor response regression\n(TRR) and tensor predictor regression (TPR) models with tensor\nenvelope structure. The three types of estimation approaches\nare generic and can be applied to any envelope estimation\nproblems. The full Grassmannian (FG) optimization is often\nassociated with likelihood-based estimation but requires heavy\ncomputation and good initialization; the one-directional\noptimization approaches (1D and ECD algorithms) are faster,\nstable and does not require carefully chosen initial values;\nthe SIMPLS-type is motivated by the partial least squares\nregression and is computationally the least expensive. For\ndetails of TRR, see Li L, Zhang X (2017)\n<doi:10.1080/01621459.2016.1193022>. For details of TPR, see\nZhang X, Li L (2017) <doi:10.1080/00401706.2016.1272495>. For\ndetails of 1D algorithm, see Cook RD, Zhang X (2016)\n<doi:10.1080/10618600.2015.1029577>. For details of ECD\nalgorithm, see Cook RD, Zhang X (2018)\n<doi:10.5705/ss.202016.0037>. For more details of the package,\nsee Zeng J, Wang W, Zhang X (2021) <doi:10.18637/jss.v099.i12>.",
  "License": "GPL-3",
  "Encoding": "UTF-8",
  "Language": "en-US",
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  "URL": "https://github.com/leozeng15/TRES",
  "BugReports": "https://github.com/leozeng15/TRES/issues",
  "RcppModules": "ManifoldOptim_module",
  "RoxygenNote": "7.1.2",
  "NeedsCompilation": "no",
  "Repository": "https://jingzzeng.r-universe.dev",
  "Date/Publication": "2021-11-12 00:30:57 UTC",
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  "Packaged": {
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    "User": "root"
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  "Author": "Wenjing Wang [aut],\nJing Zeng [aut, cre],\nXin Zhang [aut]",
  "Maintainer": "Jing Zeng <jing.zeng@stat.fsu.edu>",
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    "name": "Jing Zeng",
    "description": "Associate Professor (Tenure-Track)\r\nUniversity of Science and Technology of China"
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  "_rbuild": "4.6.0",
  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
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    "extra/NEWS.txt",
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    "manual.pdf"
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  "_releases": [
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      "date": "2018-11-26"
    },
    {
      "version": "1.0.0",
      "date": "2019-10-22"
    },
    {
      "version": "1.1.0",
      "date": "2019-11-17"
    },
    {
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      "date": "2020-02-05"
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  "_exports": [
    "ECD",
    "FGfun",
    "kroncov",
    "manifold1D",
    "manifoldFG",
    "MenvU_sim",
    "oneD_bic",
    "OptM1D",
    "OptMFG",
    "OptStiefelGBB",
    "PMSE",
    "simplsMU",
    "std_err",
    "subspace",
    "Tenv_Pval",
    "TPR.fit",
    "TPRdim",
    "TPRsim",
    "TRR.fit",
    "TRRdim",
    "TRRsim",
    "ttt"
  ],
  "_datasets": [
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      "name": "bat",
      "title": "Bat simulated data",
      "object": "bat",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "EEG",
      "title": "Electroencephalography (EEG) dataset for alcoholism study.",
      "object": "EEG",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "square",
      "title": "Square simulated data",
      "object": "square",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    }
  ],
  "_help": [
    {
      "page": "TRES-package",
      "title": "Tensor Regression with Envelope Structure",
      "topics": [
        "TRES-package",
        "TRES"
      ]
    },
    {
      "page": "bat",
      "title": "Bat simulated data",
      "topics": [
        "bat"
      ]
    },
    {
      "page": "ECD",
      "title": "ECD algorithm for estimating the envelope subspace",
      "topics": [
        "ECD"
      ]
    },
    {
      "page": "EEG",
      "title": "Electroencephalography (EEG) dataset for alcoholism study.",
      "topics": [
        "EEG"
      ]
    },
    {
      "page": "FGfun",
      "title": "The Objective function and its gradient",
      "topics": [
        "FGfun"
      ]
    },
    {
      "page": "kroncov",
      "title": "The covariance estimation of tensor normal distribution",
      "topics": [
        "kroncov"
      ]
    },
    {
      "page": "manifold1D",
      "title": "Estimate the envelope subspace ('ManifoldOptim' 1D)",
      "topics": [
        "manifold1D"
      ]
    },
    {
      "page": "manifoldFG",
      "title": "Estimate the envelope subspace ('ManifoldOptim' FG)",
      "topics": [
        "manifoldFG"
      ]
    },
    {
      "page": "MenvU_sim",
      "title": "Generate matrices M and U",
      "topics": [
        "MenvU_sim"
      ]
    },
    {
      "page": "oneD_bic",
      "title": "Envelope dimension selection based on 1D-BIC",
      "topics": [
        "oneD_bic"
      ]
    },
    {
      "page": "OptM1D",
      "title": "Estimate the envelope subspace ('OptM' 1D)",
      "topics": [
        "OptM1D"
      ]
    },
    {
      "page": "OptMFG",
      "title": "Estimate the envelope subspace ('OptM' FG)",
      "topics": [
        "OptMFG"
      ]
    },
    {
      "page": "OptStiefelGBB",
      "title": "Optimization on Stiefel manifold",
      "topics": [
        "OptStiefelGBB"
      ]
    },
    {
      "page": "plot.Tenv",
      "title": "Plot coefficients and p-value for Tenv object.",
      "topics": [
        "plot.Tenv"
      ]
    },
    {
      "page": "PMSE",
      "title": "Prediction and mean squared error.",
      "topics": [
        "PMSE"
      ]
    },
    {
      "page": "predict.Tenv",
      "title": "Predict method for Tenv object.",
      "topics": [
        "predict.Tenv"
      ]
    },
    {
      "page": "simplsMU",
      "title": "SIMPLS-type algorithm for estimating the envelope subspace",
      "topics": [
        "simplsMU"
      ]
    },
    {
      "page": "square",
      "title": "Square simulated data",
      "topics": [
        "square"
      ]
    },
    {
      "page": "std_err",
      "title": "Elementwise standard error.",
      "topics": [
        "std_err"
      ]
    },
    {
      "page": "subspace",
      "title": "The distance between two subspaces.",
      "topics": [
        "subspace"
      ]
    },
    {
      "page": "summary.Tenv",
      "title": "Summarize method for Tenv object.",
      "topics": [
        "print.summary.Tenv",
        "summary.Tenv"
      ]
    },
    {
      "page": "Tenv_Pval",
      "title": "The p-value and standard error of coefficient in tensor response regression (TRR) model.",
      "topics": [
        "Tenv_Pval"
      ]
    },
    {
      "page": "TPR.fit",
      "title": "Tensor predictor regression",
      "topics": [
        "TPR",
        "TPR.fit"
      ]
    },
    {
      "page": "TPRdim",
      "title": "Envelope dimension by cross-validation for tensor predictor regression (TPR).",
      "topics": [
        "TPRdim"
      ]
    },
    {
      "page": "TPRsim",
      "title": "Generate simulation data for tensor predictor regression (TPR)",
      "topics": [
        "TPRsim"
      ]
    },
    {
      "page": "TRR.fit",
      "title": "Tensor response regression",
      "topics": [
        "TRR",
        "TRR.fit"
      ]
    },
    {
      "page": "TRRdim",
      "title": "Envelope dimension selection for tensor response regression (TRR)",
      "topics": [
        "TRRdim"
      ]
    },
    {
      "page": "TRRsim",
      "title": "Generate simulation data for tensor response regression (TRR)",
      "topics": [
        "TRRsim"
      ]
    },
    {
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      "title": "Matrix product of two tensors",
      "topics": [
        "ttt"
      ]
    }
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