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  "Title": "Distribution Comparison Through Density Ratio Estimation",
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  "Description": "Fast, flexible and user-friendly tools for distribution\ncomparison through direct density ratio estimation. The\nestimated density ratio can be used for covariate shift\nadjustment, outlier-detection, change-point detection,\nclassification and evaluation of synthetic data quality. The\npackage implements multiple non-parametric estimation\ntechniques (unconstrained least-squares importance fitting,\nulsif(), Kullback-Leibler importance estimation procedure,\nkliep(), spectral density ratio estimation, spectral(), kernel\nmean matching, kmm(), and least-squares hetero-distributional\nsubspace search, lhss()). with automatic tuning of\nhyperparameters. Helper functions are available for two-sample\ntesting and visualizing the density ratios. For an overview on\ndensity ratio estimation, see Sugiyama et al. (2012)\n<doi:10.1017/CBO9781139035613> for a general overview, and the\nhelp files for references on the specific estimation\ntechniques.",
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  "Date/Publication": "2026-07-14 12:16:05 UTC",
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  "Author": "Thom Volker [aut, cre] (ORCID: <https://orcid.org/0000-0002-2408-7820>),\nCarlos Gonzalez Poses [ctb],\nErik-Jan van Kesteren [ctb]",
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  "_created": "2026-10-17T10:28:51.000Z",
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        "permute.lhss",
        "permute.naivedensityratio",
        "permute.spectral",
        "permute.ulsif"
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      "title": "Obtain predicted density ratio values from a 'lhss' object",
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      "title": "Obtain predicted density ratio values from a 'naivedensityratio' object",
      "topics": [
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      ]
    },
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      "page": "predict.spectral",
      "title": "Obtain predicted density ratio values from a 'spectral' object",
      "topics": [
        "predict.spectral"
      ]
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      "page": "predict.ulsif",
      "title": "Obtain predicted density ratio values from a 'ulsif' object",
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      ]
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      "page": "print.kliep",
      "title": "Print a 'kliep' object",
      "topics": [
        "print.kliep"
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    },
    {
      "page": "print.kmm",
      "title": "Print a 'kmm' object",
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      "page": "print.lhss",
      "title": "Print a 'lhss' object",
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    },
    {
      "page": "print.naivedensityratio",
      "title": "Print a 'naivedensityratio' object",
      "topics": [
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    },
    {
      "page": "print.spectral",
      "title": "Print a 'spectral' object",
      "topics": [
        "print.spectral"
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    },
    {
      "page": "print.summary.kliep",
      "title": "Print a 'summary.kliep' object",
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        "print.summary.kliep"
      ]
    },
    {
      "page": "print.summary.kmm",
      "title": "Print a 'summary.kmm' object",
      "topics": [
        "print.summary.kmm"
      ]
    },
    {
      "page": "print.summary.lhss",
      "title": "Print a 'summary.lhss' object",
      "topics": [
        "print.summary.lhss"
      ]
    },
    {
      "page": "print.summary.naivedensityratio",
      "title": "Print a 'summary.naivedensityratio' object",
      "topics": [
        "print.summary.naivedensityratio"
      ]
    },
    {
      "page": "print.summary.spectral",
      "title": "Print a 'summary.spectral' object",
      "topics": [
        "print.summary.spectral"
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    },
    {
      "page": "print.summary.ulsif",
      "title": "Print a 'summary.ulsif' object",
      "topics": [
        "print.summary.ulsif"
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    {
      "page": "print.ulsif",
      "title": "Print a 'ulsif' object",
      "topics": [
        "print.ulsif"
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    {
      "page": "spectral",
      "title": "Spectral series based density ratio estimation",
      "topics": [
        "spectral"
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      "page": "summary.kliep",
      "title": "Extract summary from 'kliep' object, including two-sample significance test for homogeneity of the numerator and denominator samples",
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      "title": "Extract summary from 'kmm' object, including two-sample significance test for homogeneity of the numerator and denominator samples",
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      "title": "Extract summary from 'lhss' object, including two-sample significance test for homogeneity of the numerator and denominator samples",
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        "summary.lhss"
      ]
    },
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      "title": "Extract summary from 'naivedensityraito' object, including two-sample significance test for homogeneity of the numerator and denominator samples",
      "topics": [
        "summary.naivedensityratio"
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      "page": "summary.spectral",
      "title": "Extract summary from 'spectral' object, including two-sample significance test for homogeneity of the numerator and denominator samples",
      "topics": [
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