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  "Package": "BKP",
  "Title": "Beta Kernel Process Modeling",
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  "Authors@R": "c(\nperson(given = \"Jiangyan\", family = \"Zhao\", email = \"zhaojy2017@126.com\", role = c(\"cre\", \"aut\")),\nperson(given = \"Kunhai\", family = \"Qing\", email = \"kunhaiq@qq.com\", role = \"aut\"),\nperson(given = \"Jin\", family = \"Xu\", email = \"jxu@stat.ecnu.edu.cn\", role = \"aut\")\n)",
  "Maintainer": "Jiangyan Zhao <zhaojy2017@126.com>",
  "Description": "Implements the Beta Kernel Process (BKP) for nonparametric\nmodeling of covariate-dependent binomial probabilities, and the\nDirichlet Kernel Process (DKP) for categorical or multinomial\nresponse data. Scalable global-local approximations are\nprovided through TwinBKP and TwinDKP, using twinning-selected\nglobal subsets and local nearest-neighbour updates. Functions\nare included for model fitting, predictive inference with\nuncertainty quantification, posterior simulation, and\nvisualization in one- and two-dimensional input spaces.\nGaussian, Matern 5/2, Matern 3/2, and Wendland kernels are\nsupported, with hyperparameters selected by multi-start\nderivative-free optimization. For more details, see Zhao, Qing,\nand Xu (2025) <doi:10.48550/arXiv.2508.10447>.",
  "License": "GPL (>= 3)",
  "Copyright": "See inst/COPYRIGHTS",
  "URL": "https://github.com/Jiangyan-Zhao/BKP,\nhttps://jiangyan-zhao.github.io/BKP-website,\nhttps://github.com/Jiangyan-Zhao/BKP-paper",
  "BugReports": "https://github.com/Jiangyan-Zhao/BKP/issues",
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  "Repository": "https://jiangyan-zhao.r-universe.dev",
  "Date/Publication": "2026-10-04 11:41:59 UTC",
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  "Author": "Jiangyan Zhao [cre, aut],\nKunhai Qing [aut],\nJin Xu [aut]",
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    "fit_TwinBKP",
    "fit_TwinDKP",
    "get_prior",
    "kernel_matrix",
    "loss_fun",
    "parameter"
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    {
      "page": "BKP-package",
      "title": "Beta Kernel Process Modeling",
      "topics": [
        "BKP-package"
      ]
    },
    {
      "page": "fit_BKP",
      "title": "Fit a Beta Kernel Process (BKP) Model",
      "topics": [
        "fit_BKP"
      ]
    },
    {
      "page": "fit_DKP",
      "title": "Fit a Dirichlet Kernel Process Model",
      "topics": [
        "fit_DKP"
      ]
    },
    {
      "page": "fit_TwinBKP",
      "title": "Fit a Twin Beta Kernel Process Model",
      "topics": [
        "fit_TwinBKP"
      ]
    },
    {
      "page": "fit_TwinDKP",
      "title": "Fit a Twin Dirichlet Kernel Process Model",
      "topics": [
        "fit_TwinDKP"
      ]
    },
    {
      "page": "fitted",
      "title": "Extract Fitted Posterior Means from BKP Package Model Objects",
      "topics": [
        "fitted",
        "fitted.BKP",
        "fitted.DKP",
        "fitted.TwinBKP",
        "fitted.TwinDKP"
      ]
    },
    {
      "page": "get_prior",
      "title": "Construct Prior Parameters for BKP and DKP Models",
      "topics": [
        "get_prior"
      ]
    },
    {
      "page": "kernel_matrix",
      "title": "Compute Kernel Matrix Between Input Locations",
      "topics": [
        "kernel_matrix"
      ]
    },
    {
      "page": "loss_fun",
      "title": "Leave-One-Out Loss for BKP and DKP Models",
      "topics": [
        "loss_fun"
      ]
    },
    {
      "page": "parameter",
      "title": "Extract Model Parameters from Fitted BKP Package Models",
      "topics": [
        "parameter",
        "parameter.BKP",
        "parameter.DKP",
        "parameter.TwinBKP",
        "parameter.TwinDKP"
      ]
    },
    {
      "page": "plot",
      "title": "Plot Fitted BKP Package Model Objects",
      "topics": [
        "plot",
        "plot.BKP",
        "plot.DKP",
        "plot.TwinBKP",
        "plot.TwinDKP"
      ]
    },
    {
      "page": "predict",
      "title": "Posterior Prediction for BKP Package Model Objects",
      "topics": [
        "predict",
        "predict.BKP",
        "predict.DKP",
        "predict.TwinBKP",
        "predict.TwinDKP"
      ]
    },
    {
      "page": "print",
      "title": "Print Methods for BKP Package Objects",
      "topics": [
        "print",
        "print.BKP",
        "print.DKP",
        "print.predict_BKP",
        "print.predict_DKP",
        "print.predict_TwinBKP",
        "print.predict_TwinDKP",
        "print.simulate_BKP",
        "print.simulate_DKP",
        "print.simulate_TwinBKP",
        "print.simulate_TwinDKP",
        "print.summary_BKP",
        "print.summary_DKP",
        "print.summary_TwinBKP",
        "print.summary_TwinDKP",
        "print.TwinBKP",
        "print.TwinDKP"
      ]
    },
    {
      "page": "quantile",
      "title": "Posterior Quantiles from Fitted BKP Package Models",
      "topics": [
        "quantile",
        "quantile.BKP",
        "quantile.DKP",
        "quantile.TwinBKP",
        "quantile.TwinDKP"
      ]
    },
    {
      "page": "simulate",
      "title": "Simulate from Fitted BKP Package Models",
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        "simulate",
        "simulate.BKP",
        "simulate.DKP",
        "simulate.TwinBKP",
        "simulate.TwinDKP"
      ]
    },
    {
      "page": "summary",
      "title": "Summarize Fitted BKP Package Models",
      "topics": [
        "summary",
        "summary.BKP",
        "summary.DKP",
        "summary.TwinBKP",
        "summary.TwinDKP"
      ]
    }
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