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  "Title": "Flexible Bayesian Model Selection and Model Averaging",
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  "Description": "Implements the Mode Jumping Markov Chain Monte Carlo\nalgorithm described in <doi:10.1016/j.csda.2018.05.020> and its\nGenetically Modified counterpart described in\n<doi:10.1613/jair.1.13047> as well as the sub-sampling versions\ndescribed in <doi:10.1016/j.ijar.2022.08.018> for flexible\nBayesian model selection and model averaging.",
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    "sqroot",
    "string.population",
    "string.population.models",
    "troot"
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        "Diameter",
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    },
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      "object": "breastcancer",
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      "table": true,
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      "table": true,
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    {
      "page": "FBMS-package",
      "title": "Flexible Bayesian Model Selection and Model Averaging",
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        "FBMS-package",
        "FBMS"
      ]
    },
    {
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      "title": "Physical Measurements of 4177 Abalones, a Species of Sea Snail.",
      "topics": [
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      ]
    },
    {
      "page": "aggr",
      "title": "Generic for Accessing Aggregated Predictions",
      "topics": [
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      ]
    },
    {
      "page": "aggr.fbms_predict",
      "title": "Access Aggregated Predictions",
      "topics": [
        "aggr.fbms_predict"
      ]
    },
    {
      "page": "arcsinh",
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      "topics": [
        "arcsinh"
      ]
    },
    {
      "page": "breastcancer",
      "title": "Breast Cancer Wisconsin (Diagnostic) Data Set",
      "topics": [
        "breastcancer"
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    },
    {
      "page": "coef.bgnlm_model",
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      "topics": [
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      ]
    },
    {
      "page": "coef.gmjmcmc",
      "title": "Coefficients for GMJMCMC Model",
      "topics": [
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      ]
    },
    {
      "page": "coef.gmjmcmc_merged",
      "title": "Coefficients for GMJMCMC Merged Model",
      "topics": [
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    },
    {
      "page": "coef.mjmcmc",
      "title": "Coefficients for MJMCMC Model",
      "topics": [
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    },
    {
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      "title": "Coefficients for MJMCMC Parallel Model",
      "topics": [
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    },
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      "topics": [
        "compute_effects"
      ]
    },
    {
      "page": "cos_deg",
      "title": "Cosine Function for Degrees",
      "topics": [
        "cos_deg"
      ]
    },
    {
      "page": "diagn_plot",
      "title": "Plot Convergence Diagnostics for GMJMCMC or GMJMCMC Merged Results",
      "topics": [
        "diagn_plot"
      ]
    },
    {
      "page": "erf",
      "title": "Erf Function",
      "topics": [
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      ]
    },
    {
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      "title": "Excerpt from the Open Exoplanet Catalogue Data Set",
      "topics": [
        "exoplanet"
      ]
    },
    {
      "page": "exp_dbl",
      "title": "Double Exponential Function",
      "topics": [
        "exp_dbl"
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    },
    {
      "page": "fbms",
      "title": "Fit a BGNLM Model Using MJMCMC or GMJMCMC Sampling.",
      "topics": [
        "fbms"
      ]
    },
    {
      "page": "fbms.mlik.master",
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      "topics": [
        "fbms.mlik.master"
      ]
    },
    {
      "page": "fitted.fbms_predict",
      "title": "Access Fitted Values",
      "topics": [
        "fitted.fbms_predict"
      ]
    },
    {
      "page": "gaussian.loglik",
      "title": "Log Likelihood Function for Gaussian Regression with a Jeffreys Prior and BIC Approximation",
      "topics": [
        "gaussian.loglik"
      ]
    },
    {
      "page": "gelu",
      "title": "GELU Function",
      "topics": [
        "gelu"
      ]
    },
    {
      "page": "gen.params.gmjmcmc",
      "title": "Generate a Parameter List for GMJMCMC (Genetically Modified MJMCMC)",
      "topics": [
        "gen.params.gmjmcmc"
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    },
    {
      "page": "gen.params.mjmcmc",
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      "topics": [
        "gen.params.mjmcmc"
      ]
    },
    {
      "page": "gen.probs.gmjmcmc",
      "title": "Generate a Probability List for GMJMCMC (Genetically Modified MJMCMC)",
      "topics": [
        "gen.probs.gmjmcmc"
      ]
    },
    {
      "page": "gen.probs.mjmcmc",
      "title": "Generate a Probability List for MJMCMC (Mode Jumping MCMC)",
      "topics": [
        "gen.probs.mjmcmc"
      ]
    },
    {
      "page": "get.best.model",
      "title": "Extract the Best Model from MJMCMC or GMJMCMC Results",
      "topics": [
        "get.best.model"
      ]
    },
    {
      "page": "get.mpm.model",
      "title": "Retrieve the Median Probability Model (MPM)",
      "topics": [
        "get.mpm.model"
      ]
    },
    {
      "page": "gmjmcmc",
      "title": "Main Algorithm for GMJMCMC (Genetically Modified MJMCMC)",
      "topics": [
        "gmjmcmc"
      ]
    },
    {
      "page": "gmjmcmc.parallel",
      "title": "Run Multiple GMJMCMC (Genetically Modified MJMCMC) Runs in Parallel.",
      "topics": [
        "gmjmcmc.parallel"
      ]
    },
    {
      "page": "hs",
      "title": "Heavy Side Function",
      "topics": [
        "hs"
      ]
    },
    {
      "page": "impute_x",
      "title": "Impute Missing Values in the Data",
      "topics": [
        "impute_x"
      ]
    },
    {
      "page": "impute_x_pred",
      "title": "Impute Missing Values in Test Data Using Training Data",
      "topics": [
        "impute_x_pred"
      ]
    },
    {
      "page": "log_prior",
      "title": "Log Model Prior Function",
      "topics": [
        "log_prior"
      ]
    },
    {
      "page": "logistic.loglik",
      "title": "Log Likelihood Function for Logistic Regression with a Jeffreys Parameter Prior and BIC Approximations of the Posterior.",
      "topics": [
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    },
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      "title": "Function for Calculating Marginal Inclusion Probabilities of Features Given a List of Models",
      "topics": [
        "marginal.probs"
      ]
    },
    {
      "page": "merge_results",
      "title": "Merge a List of Multiple Results from Many Runs",
      "topics": [
        "merge_results"
      ]
    },
    {
      "page": "mjmcmc",
      "title": "Main Algorithm for MJMCMC (Genetically Modified MJMCMC)",
      "topics": [
        "mjmcmc"
      ]
    },
    {
      "page": "mjmcmc.parallel",
      "title": "Run Multiple MJMCMC Runs in Parallel, Merging the Results Before Returning.",
      "topics": [
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    {
      "page": "model.string",
      "title": "Function to Generate a Function String for a Model Consisting of Features",
      "topics": [
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    },
    {
      "page": "ngelu",
      "title": "Negative GELU Function",
      "topics": [
        "ngelu"
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    },
    {
      "page": "nhs",
      "title": "Negative Heavy Side Function",
      "topics": [
        "nhs"
      ]
    },
    {
      "page": "not",
      "title": "Not x",
      "topics": [
        "not"
      ]
    },
    {
      "page": "nrelu",
      "title": "Negative ReLU Function",
      "topics": [
        "nrelu"
      ]
    },
    {
      "page": "p0",
      "title": "p0 Polynomial Term",
      "topics": [
        "p0"
      ]
    },
    {
      "page": "p05",
      "title": "p05 Polynomial Term",
      "topics": [
        "p05"
      ]
    },
    {
      "page": "p0p0",
      "title": "p0p0 Polynomial Term",
      "topics": [
        "p0p0"
      ]
    },
    {
      "page": "p0p05",
      "title": "p0p05 Polynomial Term",
      "topics": [
        "p0p05"
      ]
    },
    {
      "page": "p0p1",
      "title": "p0p1 Polynomial Term",
      "topics": [
        "p0p1"
      ]
    },
    {
      "page": "p0p2",
      "title": "p0p2 Polynomial Term",
      "topics": [
        "p0p2"
      ]
    },
    {
      "page": "p0p3",
      "title": "p0p3 Polynomial Term",
      "topics": [
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    },
    {
      "page": "p0pm05",
      "title": "p0pm05 Polynomial Term",
      "topics": [
        "p0pm05"
      ]
    },
    {
      "page": "p0pm1",
      "title": "p0pm1 Polynomial Terms",
      "topics": [
        "p0pm1"
      ]
    },
    {
      "page": "p0pm2",
      "title": "p0pm2 Polynomial Term",
      "topics": [
        "p0pm2"
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    },
    {
      "page": "p2",
      "title": "p2 Polynomial Term",
      "topics": [
        "p2"
      ]
    },
    {
      "page": "p3",
      "title": "p3 Polynomial Term",
      "topics": [
        "p3"
      ]
    },
    {
      "page": "plot.bgnlm_model",
      "title": "Plot BGNLM Model",
      "topics": [
        "plot.bgnlm_model"
      ]
    },
    {
      "page": "plot.fbms_predict",
      "title": "Plot FBMS Prediction Object",
      "topics": [
        "plot.fbms_predict"
      ]
    },
    {
      "page": "plot.gmjmcmc",
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      "topics": [
        "plot.gmjmcmc"
      ]
    },
    {
      "page": "plot.gmjmcmc_merged",
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      "topics": [
        "plot.gmjmcmc_merged"
      ]
    },
    {
      "page": "plot.mjmcmc",
      "title": "Function to Plot GMJMCMC Results and Merged Results from merge.results",
      "topics": [
        "plot.mjmcmc"
      ]
    },
    {
      "page": "plot.mjmcmc_parallel",
      "title": "Plot an mjmcmc_parallel Run",
      "topics": [
        "plot.mjmcmc_parallel"
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    },
    {
      "page": "pm05",
      "title": "pm05 Polynomial Term",
      "topics": [
        "pm05"
      ]
    },
    {
      "page": "pm1",
      "title": "pm1 Polynomial Term",
      "topics": [
        "pm1"
      ]
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      "page": "pm2",
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      "topics": [
        "pm2"
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    },
    {
      "page": "predict.bgnlm_model",
      "title": "Predict Responses from a BGNLM Model",
      "topics": [
        "predict.bgnlm_model"
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    },
    {
      "page": "predict.gmjmcmc",
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      "topics": [
        "predict.gmjmcmc"
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      "page": "predict.gmjmcmc_merged",
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      "topics": [
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    },
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      "page": "predict.mjmcmc",
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      "topics": [
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      "title": "Predict Using an MJMCMC Result Object from a Parallel Run",
      "topics": [
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    },
    {
      "page": "predmean",
      "title": "Generic for Accessing Mean Predictions",
      "topics": [
        "predmean"
      ]
    },
    {
      "page": "predmean.fbms_predict",
      "title": "Access Mean Predictions",
      "topics": [
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    {
      "page": "predquantiles",
      "title": "Generic for Accessing Quantile Predictions",
      "topics": [
        "predquantiles"
      ]
    },
    {
      "page": "predquantiles.fbms_predict",
      "title": "Access Quantile Predictions",
      "topics": [
        "predquantiles.fbms_predict"
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    },
    {
      "page": "print.bgnlm_model",
      "title": "Print BGNLM Model Object",
      "topics": [
        "print.bgnlm_model"
      ]
    },
    {
      "page": "print.fbms_predict",
      "title": "Print FBMS Prediction Object",
      "topics": [
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      ]
    },
    {
      "page": "print.feature",
      "title": "Print Method for \\\"feature\\\" Class",
      "topics": [
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      ]
    },
    {
      "page": "print.gmjmcmc",
      "title": "Print GMJMCMC Model Object",
      "topics": [
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    },
    {
      "page": "print.gmjmcmc_merged",
      "title": "Print GMJMCMC Merged Model Object",
      "topics": [
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    },
    {
      "page": "print.mjmcmc",
      "title": "Print MJMCMC Model Object",
      "topics": [
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      "title": "Print MJMCMC Parallel Model Object",
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  "_vignettes": [
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      "source": "FBMS-guide.Rmd",
      "filename": "FBMS-guide.html",
      "title": "FBMS: Flexible Bayesian Model Selection and Model Averaging",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Setup",
        "Bayesian Model Selection and Averaging",
        "Bayesian Generalized Nonlinear Model (BGNLM)",
        "Feature space",
        "Transformations available in FBMS",
        "Priors",
        "Model priors",
        "Parameter priors",
        "Parameter priors available (and where to tune)",
        "Inference algorithms",
        "Model posterior",
        "MCMC, MJMCMC, GMJMCMC",
        "Parallelization",
        "Example 1 — BGNLM: recovering Kepler’s third law",
        "Example 2 — Bayesian linear models",
        "Example 3 — Bayesian Fractional Polynomials (FP)",
        "Example 4 — Mixed-effects FP with interactions",
        "Example 5 — Bayesian Logic Regression",
        "Example 6 — Full BGNLM classification (Bernoulli): spam data",
        "References"
      ],
      "created": "2025-08-28 17:55:44",
      "modified": "2025-09-30 12:57:35",
      "commits": 5
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