Illustration of Monad-Bayes score function

score-illustration.ipynb

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    ":ext OverloadedStrings\n",
    "\n",
    "import Control.Monad.Bayes.Class (MonadInfer, score, uniformD)\n",
    "import Control.Monad.Bayes.Traced (mh)\n",
    "import Control.Monad.Bayes.Weighted (prior)\n",
    "import Control.Monad.Bayes.Sampler (sampleIOfixed)\n",
    "import qualified Graphics.Vega.VegaLite as VL\n",
    "import IHaskell.Display.Hvega (vlShow)"
   ]
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   "source": [
    "dist :: MonadInfer d => d Double\n",
    "dist = do\n",
    "  isHead <- uniformD [False, True]\n",
    "  if isHead\n",
    "    then score 10 >> uniformD [1..5]\n",
    "    else score 1 >> uniformD [1..20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
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       "mh :: forall (m :: * -> *) a. MonadSample m => Int -> Traced m a -> m [a]"
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    ":t mh"
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   "source": [
    "a <- sampleIOfixed $ prior $ mh 10000 dist"
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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat = VL.dataFromColumns []\n",
    "    . VL.dataColumn \"samples\" (VL.Numbers a)\n",
    "encoding = VL.encoding\n",
    "          . VL.position\n",
    "            VL.X\n",
    "            [ VL.PName \"samples\",\n",
    "              VL.PmType VL.Ordinal\n",
    "            ]\n",
    "          . VL.position VL.Y [VL.PAggregate VL.Count, VL.PName \"count\"]\n",
    "spec = VL.toVegaLite\n",
    "            [ VL.width 600,\n",
    "              VL.height 300,\n",
    "              dat [],\n",
    "              VL.mark VL.Bar [],\n",
    "              encoding []\n",
    "            ]\n",
    "vlShow spec"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Haskell - monad-bayes",
   "language": "haskell",
   "name": "ihaskell_monad-bayes"
  },
  "language_info": {
   "codemirror_mode": "Haskell",
   "file_extension": ".hs",
   "mimetype": "text/x-haskell",
   "name": "haskell",
   "pygments_lexer": "Haskell",
   "version": "8.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}

shell.nix

let
  jupyter = import (builtins.fetchGit {
    url = https://github.com/tweag/jupyterWith;
    rev = "35eb565c6d00f3c61ef5e74e7e41870cfa3926f7";
  }) {config = {allowBroken =true;};};
  ihaskellWithPackages = jupyter.kernels.iHaskellWith {
      extraIHaskellFlags = "--codemirror Haskell";
      name = "monad-bayes";
      packages = p: with p; [
        monad-bayes
        hmatrix
        hvega
        ihaskell-hvega
        statistics 
        vector
        formatting
        foldl
        histogram-fill
      ];
    };

  jupyterlabWithKernels =
    jupyter.jupyterlabWith {
      kernels = [ ihaskellWithPackages ];
    };
in
  jupyterlabWithKernels.env