{
  "_id": "6a1ef333b401979e7341514d",
  "Package": "registr",
  "Title": "Curve Registration for Exponential Family Functional Data",
  "Version": "2.2.1",
  "Authors@R": "c(\nperson(\"Julia\", \"Wrobel\", role = c(\"aut\", \"cre\"),\nemail = \"julia.wrobel@emory.edu\",\ncomment = c(ORCID = \"0000-0001-6783-1421\")),\nperson(\"Alexander\", \"Bauer\", role = \"aut\", email = \"alexander.bauer@stat.uni-muenchen.de\"),\nperson(\"Erin\", \"McDonnell\", role = \"aut\", email = \"eim2117@cumc.columbia.edu\"),\nperson(\"Fabian\", \"Scheipl\", role = \"ctb\", email = \"fabian.scheipl@lmu.de\"),\nperson(\"Jeff\", \"Goldsmith\", role = \"aut\", email = \"jeff.goldsmith@columbia.edu\")\n)",
  "Description": "A method for performing joint registration and functional\nprincipal component analysis for curves (functional data) that\nare generated from exponential family distributions. This\nmainly implements the algorithms described in 'Wrobel et al.\n(2019)' <doi:10.1111/biom.12963> and further adapts them to\npotentially incomplete curves where (some) curves are not\nobserved from the beginning and/or until the end of the common\ndomain. Curve registration can be used to better understand\npatterns in functional data by separating curves into phase and\namplitude variability. This software handles both binary and\ncontinuous functional data, and is especially applicable in\naccelerometry and wearable technology.",
  "License": "MIT + file LICENSE",
  "Encoding": "UTF-8",
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  "Repository": "https://julia-wrobel.r-universe.dev",
  "Date/Publication": "2026-02-16 20:39:46 UTC",
  "RemoteUrl": "https://github.com/julia-wrobel/registr",
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  "Packaged": {
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    "User": "root"
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  "Author": "Julia Wrobel [aut, cre] (ORCID:\n<https://orcid.org/0000-0001-6783-1421>),\nAlexander Bauer [aut],\nErin McDonnell [aut],\nFabian Scheipl [ctb],\nJeff Goldsmith [aut]",
  "Maintainer": "Julia Wrobel <julia.wrobel@emory.edu>",
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  "_created": "2026-05-19T07:30:48.000Z",
  "_published": "2026-06-02T15:13:55.476Z",
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    "constraints",
    "data_clean",
    "fpca_gauss",
    "gfpca_twoStep",
    "loss_h",
    "loss_h_gradient",
    "register_fpca",
    "registr",
    "simulate_functional_data",
    "simulate_unregistered_curves"
  ],
  "_datasets": [
    {
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      "title": "Berkeley Growth Study data with simulated incompleteness",
      "object": "growth_incomplete",
      "class": [
        "data.frame"
      ],
      "fields": [
        "id",
        "index",
        "value"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "nhanes",
      "title": "NHANES activity data",
      "object": "nhanes",
      "class": [
        "data.frame"
      ],
      "fields": [
        "id",
        "age",
        "gender",
        "index",
        "value",
        "raw_activity"
      ],
      "rows": 72000,
      "table": true,
      "tojson": true
    }
  ],
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    {
      "page": "amp_curve",
      "title": "Simulate amplitude variance",
      "topics": [
        "amp_curve"
      ]
    },
    {
      "page": "bfpca",
      "title": "Binary functional principal components analysis",
      "topics": [
        "bfpca"
      ]
    },
    {
      "page": "bfpca_argPreparation",
      "title": "Internal main preparation function for bfpca",
      "topics": [
        "bfpca_argPreparation"
      ]
    },
    {
      "page": "bfpca_optimization",
      "title": "Internal main optimization for bfpca",
      "topics": [
        "bfpca_optimization"
      ]
    },
    {
      "page": "bs_deriv",
      "title": "Nth derivative of spline basis",
      "topics": [
        "bs_deriv"
      ]
    },
    {
      "page": "coarsen_index",
      "title": "Coarsen an index vector to a given resolution",
      "topics": [
        "coarsen_index"
      ]
    },
    {
      "page": "constraints",
      "title": "Define constraints for optimization of warping functions",
      "topics": [
        "constraints"
      ]
    },
    {
      "page": "cov_hall",
      "title": "Covariance estimation after Hall et al. (2008)",
      "topics": [
        "cov_hall"
      ]
    },
    {
      "page": "crossprods_irregular",
      "title": "Crossproduct computation for highly irregular grids",
      "topics": [
        "crossprods_irregular"
      ]
    },
    {
      "page": "crossprods_regular",
      "title": "Crossproduct computation for mostly regular grids",
      "topics": [
        "crossprods_regular"
      ]
    },
    {
      "page": "data_clean",
      "title": "Convert data to a 'refund' object",
      "topics": [
        "data_clean"
      ]
    },
    {
      "page": "deriv.inv.logit",
      "title": "Estimate the derivative of the logit function",
      "topics": [
        "deriv.inv.logit"
      ]
    },
    {
      "page": "determine_npc",
      "title": "Determine the number of FPCs based on the share of explained variance",
      "topics": [
        "determine_npc"
      ]
    },
    {
      "page": "ensure_proper_beta",
      "title": "Correct slightly improper parameter vectors",
      "topics": [
        "ensure_proper_beta"
      ]
    },
    {
      "page": "expectedScores",
      "title": "Calculate expected score and score variance for the current subject.",
      "topics": [
        "expectedScores"
      ]
    },
    {
      "page": "expectedXi",
      "title": "Estimate variational parameter for the current subject.",
      "topics": [
        "expectedXi"
      ]
    },
    {
      "page": "fpca_gauss",
      "title": "Functional principal components analysis via variational EM",
      "topics": [
        "fpca_gauss"
      ]
    },
    {
      "page": "fpca_gauss_argPreparation",
      "title": "Internal main preparation function for fpca_gauss",
      "topics": [
        "fpca_gauss_argPreparation"
      ]
    },
    {
      "page": "fpca_gauss_optimization",
      "title": "Internal main optimization for fpca_gauss",
      "topics": [
        "fpca_gauss_optimization"
      ]
    },
    {
      "page": "gfpca_twoStep",
      "title": "Generalized functional principal component analysis",
      "topics": [
        "gfpca_twoStep"
      ]
    },
    {
      "page": "grid_subj_create",
      "title": "Generate subject-specific grid (t_star)",
      "topics": [
        "grid_subj_create"
      ]
    },
    {
      "page": "growth_incomplete",
      "title": "Berkeley Growth Study data with simulated incompleteness",
      "topics": [
        "growth_incomplete"
      ]
    },
    {
      "page": "initial_params",
      "title": "Create initial parameters for (inverse) warping functions",
      "topics": [
        "initial_params"
      ]
    },
    {
      "page": "lambdaF",
      "title": "Apply lambda transformation of variational parameter.",
      "topics": [
        "lambdaF"
      ]
    },
    {
      "page": "loss_h",
      "title": "Loss function for registration step optimization",
      "topics": [
        "loss_h"
      ]
    },
    {
      "page": "loss_h_gradient",
      "title": "Gradient of loss function for registration step",
      "topics": [
        "loss_h_gradient"
      ]
    },
    {
      "page": "mean_curve",
      "title": "Simulate mean curve",
      "topics": [
        "mean_curve"
      ]
    },
    {
      "page": "mean_sim",
      "title": "Simulate mean",
      "topics": [
        "mean_sim"
      ]
    },
    {
      "page": "nhanes",
      "title": "NHANES activity data",
      "topics": [
        "nhanes"
      ]
    },
    {
      "page": "piecewise_linear2_hinv",
      "title": "Create two-parameter piecewise linear (inverse) warping functions",
      "topics": [
        "piecewise_linear2_hinv"
      ]
    },
    {
      "page": "plot.fpca",
      "title": "Plot the results of a functional PCA",
      "topics": [
        "plot.fpca"
      ]
    },
    {
      "page": "psi1_sim",
      "title": "Simulate PC1",
      "topics": [
        "psi1_sim"
      ]
    },
    {
      "page": "psi2_sim",
      "title": "Simulate PC2",
      "topics": [
        "psi2_sim"
      ]
    },
    {
      "page": "register_fpca",
      "title": "Register curves using constrained optimization and GFPCA",
      "topics": [
        "register_fpca"
      ]
    },
    {
      "page": "registr",
      "title": "Register (in)complete curves from exponential family",
      "topics": [
        "registr"
      ]
    },
    {
      "page": "registr_oneCurve",
      "title": "Internal function to register one curve",
      "topics": [
        "registr_oneCurve"
      ]
    },
    {
      "page": "simulate_functional_data",
      "title": "Simulate functional data",
      "topics": [
        "simulate_functional_data"
      ]
    },
    {
      "page": "simulate_unregistered_curves",
      "title": "Simulate unregistered curves",
      "topics": [
        "simulate_unregistered_curves"
      ]
    },
    {
      "page": "squareTheta",
      "title": "Calculate quadratic form of spline basis functions for the current subject.",
      "topics": [
        "squareTheta"
      ]
    }
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  "_vignettes": [
    {
      "source": "incomplete_curves.Rmd",
      "filename": "incomplete_curves.html",
      "title": "Registering Incomplete Curves",
      "author": "Alexander Bauer",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction",
        "Incomplete curve methodology",
        "Application on incomplete growth data",
        "Small lambda_inc",
        "Larger lambda_inc",
        "Choosing an optimal lambda_inc",
        "Constraint matrices for the optimization",
        "Complete curve setting",
        "Leading incompleteness only",
        "Trailing incompleteness only",
        "Leading and trailing incompleteness",
        "Help files"
      ],
      "created": "2020-11-02 21:52:59",
      "modified": "2021-07-02 08:42:55",
      "commits": 13
    },
    {
      "source": "registr.Rmd",
      "filename": "registr.html",
      "title": "registr: a vignette",
      "author": "Julia Wrobel, Alexander Bauer and Erin McDonnell",
      "engine": "knitr::rmarkdown",
      "headings": [
        "What is exponential family registration?",
        "The registr model and algorithm",
        "The registr package",
        "A note on data formatting",
        "Data simulation",
        "Simulate data for registration",
        "Simulate data for GFPCA",
        "Joint registration and GFPCA using register_fpca()",
        "Analyzing binary data",
        "Analyzing gaussian data",
        "Estimating the GFPCA",
        "Binomial FPCA using bfpca()",
        "Generalized FPCA using gfpca_twoStep()",
        "Estimating the registration using registr()",
        "Additional features",
        "Registering incomplete curves",
        "Parametric inverse warping functions",
        "Periodic B-spline basis functions for GFPCA",
        "Choosing the template function",
        "Help files",
        "References"
      ],
      "created": "2018-01-04 16:10:43",
      "modified": "2025-10-15 17:42:11",
      "commits": 35
    }
  ],
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