{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ca10456c",
   "metadata": {},
   "source": [
    "# Visualising JPTs\n",
    "\n",
    "This tutorial walks through all built-in visualisation options in `pyjpt`:\n",
    "\n",
    "1. **Tree structure** — the full decision tree rendered as an SVG with per-leaf distribution plots\n",
    "2. **Individual distributions** — CDF curves for numeric variables, bar charts for symbolic variables\n",
    "3. **Posterior distributions** — the result of conditioning on evidence, visualised with both backends\n",
    "4. **Plotly interactive plots** — the same API with interactive zoom, hover, and HTML export\n",
    "\n",
    "Both the **Matplotlib** (static PNG/SVG) and **Plotly** (interactive HTML + static via kaleido) engines are covered.\n",
    "Install them with:\n",
    "```bash\n",
    "pip install pyjpt[matplotlib]\n",
    "pip install pyjpt[plotly]   # also installs kaleido for static export\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be21ccca",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Fit a JPT on the Iris dataset — we reuse this model throughout the tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "26b3432d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:24.361794Z",
     "iopub.status.busy": "2026-03-16T21:27:24.361460Z",
     "iopub.status.idle": "2026-03-16T21:27:27.078229Z",
     "shell.execute_reply": "2026-03-16T21:27:27.077688Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JPT #innernodes = 6, #leaves = 7 (13 total)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "import plotly.io as pio\n",
    "pio.renderers.default = \"png\"\n",
    "\n",
    "import pandas as pd\n",
    "import sklearn.datasets\n",
    "from jpt.variables import infer_from_dataframe\n",
    "from jpt.trees import JPT\n",
    "\n",
    "iris = sklearn.datasets.load_iris()\n",
    "df = pd.DataFrame(iris.data, columns=iris.feature_names)\n",
    "df['species'] = [iris.target_names[t] for t in iris.target]\n",
    "\n",
    "variables = infer_from_dataframe(df)\n",
    "varnames = {v.name: v for v in variables}\n",
    "model = JPT(variables, min_samples_leaf=0.1)\n",
    "model.fit(df)\n",
    "model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2a7b7a9",
   "metadata": {},
   "source": [
    "## Tree Structure\n",
    "\n",
    "`JPT.plot()` generates a Graphviz SVG of the full decision tree.  Each internal node shows the split variable and threshold; each leaf contains a mini-plot of every variable's marginal distribution in that region.\n",
    "\n",
    "Pass `engine='matplotlib'` or `engine='plotly'` to control how the leaf mini-plots are rendered.  The method returns the path to the generated SVG file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "643e10ee",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:27.079744Z",
     "iopub.status.busy": "2026-03-16T21:27:27.079536Z",
     "iopub.status.idle": "2026-03-16T21:27:27.217116Z",
     "shell.execute_reply": "2026-03-16T21:27:27.216503Z"
    }
   },
   "outputs": [],
   "source": [
    "import tempfile\n",
    "from IPython.display import SVG, display\n",
    "\n",
    "tmpdir = tempfile.mkdtemp()\n",
    "\n",
    "svg_path = model.plot(\n",
    "    title='Iris JPT',\n",
    "    filename='iris_tree',\n",
    "    directory=tmpdir,\n",
    "    engine='matplotlib',\n",
    "    view=False,\n",
    ")\n",
    "display(SVG(svg_path))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d180526c",
   "metadata": {},
   "source": [
    "### Restricting which variables appear in leaves\n",
    "\n",
    "Pass `plotvars` to show only a subset of variables inside each leaf — useful for large models with many variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "135cb788",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:27.218800Z",
     "iopub.status.busy": "2026-03-16T21:27:27.218687Z",
     "iopub.status.idle": "2026-03-16T21:27:27.768203Z",
     "shell.execute_reply": "2026-03-16T21:27:27.767553Z"
    }
   },
   "outputs": [],
   "source": [
    "svg_path2 = model.plot(\n",
    "    title='Iris — petal variables',\n",
    "    filename='iris_petals',\n",
    "    directory=tmpdir,\n",
    "    engine='matplotlib',\n",
    "    plotvars=[\n",
    "        varnames['petal length (cm)'],\n",
    "        varnames['petal width (cm)'],\n",
    "        varnames['species'],\n",
    "    ],\n",
    "    view=False,\n",
    ")\n",
    "display(SVG(svg_path2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3725e4f",
   "metadata": {},
   "source": [
    "## Plotting Individual Distributions\n",
    "\n",
    "Every distribution object exposes a `.plot()` method.  Call it directly on a distribution retrieved from a leaf or from a posterior query.\n",
    "\n",
    "### Numeric distribution — CDF\n",
    "\n",
    "Numeric variables are represented as piecewise-linear CDFs.  The Matplotlib engine returns a `Figure` you can display inline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4944b9d0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:27.769600Z",
     "iopub.status.busy": "2026-03-16T21:27:27.769481Z",
     "iopub.status.idle": "2026-03-16T21:27:28.036546Z",
     "shell.execute_reply": "2026-03-16T21:27:28.036040Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Pick the marginal distribution of petal length from the first leaf\n",
    "first_leaf = list(model.leaves.values())[0]\n",
    "numeric_dist = first_leaf.distributions[varnames['petal length (cm)']]\n",
    "\n",
    "fig = numeric_dist.plot(\n",
    "    engine='matplotlib',\n",
    "    title='Petal length — leaf 0',\n",
    "    xlabel='petal length (cm)',\n",
    "    fname='petal_length_leaf0',\n",
    "    directory=tmpdir,\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "775698b0",
   "metadata": {},
   "source": [
    "### Symbolic distribution — bar chart\n",
    "\n",
    "Symbolic variables are stored as multinomials.  We plot the species distribution from the same leaf."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1778e9cc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:28.038041Z",
     "iopub.status.busy": "2026-03-16T21:27:28.037937Z",
     "iopub.status.idle": "2026-03-16T21:27:29.436197Z",
     "shell.execute_reply": "2026-03-16T21:27:29.435685Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "symbolic_dist = first_leaf.distributions[varnames['species']]\n",
    "\n",
    "# The Matplotlib engine for multinomials saves to file;\n",
    "# use Plotly to get an inline figure object\n",
    "fig = symbolic_dist.plot(\n",
    "    engine='plotly',\n",
    "    title='Species — leaf 0',\n",
    ")\n",
    "fig.update_layout(height=400, width=600)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c3c5125",
   "metadata": {},
   "source": [
    "## Posterior Distributions\n",
    "\n",
    "`JPT.posterior()` conditions the model on evidence and returns a distribution for each queried variable.  The distributions can be plotted with either engine.\n",
    "\n",
    "### Numeric posterior — CDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3c43e6d7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:29.437462Z",
     "iopub.status.busy": "2026-03-16T21:27:29.437337Z",
     "iopub.status.idle": "2026-03-16T21:27:29.620455Z",
     "shell.execute_reply": "2026-03-16T21:27:29.619917Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "evidence = {\n",
    "    'species': 'virginica',\n",
    "    'sepal length (cm)': [6.0, 7.0],\n",
    "}\n",
    "\n",
    "post = model.posterior(\n",
    "    variables=[\n",
    "        varnames['petal length (cm)'],\n",
    "        varnames['petal width (cm)'],\n",
    "        varnames['species'],\n",
    "    ],\n",
    "    evidence=evidence,\n",
    ")\n",
    "\n",
    "fig = post[varnames['petal length (cm)']].plot(\n",
    "    engine='matplotlib',\n",
    "    title='Petal length | virginica, sepal ∈ [6,7]',\n",
    "    xlabel='petal length (cm)',\n",
    "    fname='petal_length_post',\n",
    "    directory=tmpdir,\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15a911d5",
   "metadata": {},
   "source": [
    "### Numeric posterior — PDF (manual plot)\n",
    "\n",
    "The CDF plot is the native representation.  To visualise the PDF, evaluate it on a fine grid:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "68a9b31a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:29.621666Z",
     "iopub.status.busy": "2026-03-16T21:27:29.621530Z",
     "iopub.status.idle": "2026-03-16T21:27:29.709311Z",
     "shell.execute_reply": "2026-03-16T21:27:29.708724Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "dist = post[varnames['petal length (cm)']]\n",
    "lo, hi = dist.ppf(0.005), dist.ppf(0.995)\n",
    "xs = np.linspace(lo, hi, 300)\n",
    "ys = [dist.pdf(x) for x in xs]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 3))\n",
    "ax.fill_between(xs, ys, alpha=0.25, color='steelblue')\n",
    "ax.plot(xs, ys, color='steelblue', linewidth=2)\n",
    "ax.set_xlabel('petal length (cm)')\n",
    "ax.set_ylabel('density')\n",
    "ax.set_title('Posterior PDF: petal length | virginica, sepal ∈ [6, 7]')\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5acd274",
   "metadata": {},
   "source": [
    "### Symbolic posterior — bar chart (Plotly)\n",
    "\n",
    "The Plotly engine returns an interactive figure directly, including hover tooltips with exact probabilities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "993b1f84",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:29.710869Z",
     "iopub.status.busy": "2026-03-16T21:27:29.710768Z",
     "iopub.status.idle": "2026-03-16T21:27:29.758200Z",
     "shell.execute_reply": "2026-03-16T21:27:29.757686Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = post[varnames['species']].plot(\n",
    "    engine='plotly',\n",
    "    title='P(species | virginica evidence)',\n",
    "    horizontal=True,\n",
    ")\n",
    "fig.update_layout(height=350, width=650)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8d351ab",
   "metadata": {},
   "source": [
    "## Plotly Engine — Numeric CDF\n",
    "\n",
    "The Plotly numeric plot shows the piecewise-linear CDF with knot points highlighted and full zoom/pan support."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "181d03a4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:29.759609Z",
     "iopub.status.busy": "2026-03-16T21:27:29.759485Z",
     "iopub.status.idle": "2026-03-16T21:27:29.833644Z",
     "shell.execute_reply": "2026-03-16T21:27:29.832853Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = post[varnames['petal width (cm)']].plot(\n",
    "    engine='plotly',\n",
    "    title='Petal width | virginica, sepal ∈ [6,7]',\n",
    "    xlabel='petal width (cm)',\n",
    ")\n",
    "fig.update_layout(height=450, width=750)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f0cbafa",
   "metadata": {},
   "source": [
    "## Customising Colours\n",
    "\n",
    "All plot methods accept a `color` parameter (Plotly) or use Matplotlib's style system.  For the tree, `nodefill` and `leaffill` control node background colours."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "fb5833d0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:29.835263Z",
     "iopub.status.busy": "2026-03-16T21:27:29.835112Z",
     "iopub.status.idle": "2026-03-16T21:27:29.878736Z",
     "shell.execute_reply": "2026-03-16T21:27:29.878160Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotly: custom RGB colour\n",
    "fig = post[varnames['petal length (cm)']].plot(\n",
    "    engine='plotly',\n",
    "    title='Custom colour',\n",
    "    xlabel='petal length (cm)',\n",
    "    color='rgb(220, 80, 60)',\n",
    ")\n",
    "fig.update_layout(height=450, width=750)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6a8cb6f0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-03-16T21:27:29.879739Z",
     "iopub.status.busy": "2026-03-16T21:27:29.879645Z",
     "iopub.status.idle": "2026-03-16T21:27:30.018240Z",
     "shell.execute_reply": "2026-03-16T21:27:30.017626Z"
    }
   },
   "outputs": [],
   "source": [
    "# Tree with custom node colours\n",
    "svg_path3 = model.plot(\n",
    "    title='Iris JPT — custom colours',\n",
    "    filename='iris_coloured',\n",
    "    directory=tmpdir,\n",
    "    engine='matplotlib',\n",
    "    nodefill='#d0e8ff',\n",
    "    leaffill='#ffe8d0',\n",
    "    view=False,\n",
    ")\n",
    "display(SVG(svg_path3))"
   ]
  },
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    "## Saving Figures\n",
    "\n",
    "### Static images (Matplotlib)\n",
    "\n",
    "Pass `fname` and `directory` to any distribution `.plot()` call — the file is written automatically.\n",
    "\n",
    "```python\n",
    "dist.plot(\n",
    "    engine='matplotlib',\n",
    "    fname='petal_length.png',\n",
    "    directory='/tmp',\n",
    ")\n",
    "```\n",
    "\n",
    "### Interactive HTML (Plotly)\n",
    "\n",
    "Pass an `.html` filename to get a self-contained interactive page:\n",
    "\n",
    "```python\n",
    "fig = dist.plot(engine='plotly', fname='petal_length.html', directory='/tmp')\n",
    "```\n",
    "\n",
    "### Static images (Plotly + kaleido)\n",
    "\n",
    "Use any other extension (`.png`, `.svg`, `.jpeg`, `.webp`):\n",
    "\n",
    "```python\n",
    "fig = dist.plot(engine='plotly', fname='petal_length.svg', directory='/tmp')\n",
    "# or call kaleido directly on the returned figure:\n",
    "fig.write_image('/tmp/petal_length.png', scale=2)\n",
    "```"
   ]
  }
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