{ "cells": [ { "cell_type": "markdown", "id": "c2646919b8862cca", "metadata": {}, "source": [ "# Visualizing Error Distributions with ECDF Plots\n", "\n", "Aggregate error statistics such as RMSE or MUE provide a useful summary of prediction quality, but they can hide important information about the **distribution** of errors. An **Empirical Cumulative Distribution Function (ECDF)** plot addresses this by showing what fraction of predictions fall within a given error threshold.\n", "\n", "For example, an ECDF plot lets you quickly answer questions like:\n", "\n", "- What percentage of my ΔΔG predictions have an absolute error below 1 kcal/mol?\n", "- How does Method A compare to Method B across the full error distribution, not just on average?\n", "\n", "## FEMaps and multiple method comparisons\n", "\n", "The core principle in ``cinnabar`` is **one** ``FEMap`` per unique ligand series / protein target. When comparing multiple computational methods on the same series, each method's results should be added to the *same* ``FEMap`` under a different ``source`` label, this allows the high-level plotting functions to automatically detect and compare them.\n", "\n", "In this tutorial, we walk step-by-step through the construction of a single ``FEMap`` with multiple result sources and demonstrate how we can use the ECDF plotting functionality in ``Cinnabar`` to compare their performance against experimental data.\n", "\n", "We will then introduce the base ``ecdf_plot`` function which can be used to aggregate performance across multiple systems (see the [Comparing across multiple systems](#comparing-across-multiple-systems) section at the end).\n", "\n", "## Setting Up the FEMap\n", "\n", "We start by constructing a single ``FEMap`` from the included example data generated with [OpenFE](https://docs.openfree.energy/en/latest/).\n", "**Both** methods' calculations are added to the same ``FEMap``, each under a different ``source`` label to distinguish them. The experimental measurements are also added to the same map, allowing for direct comparison." ] }, { "cell_type": "code", "execution_count": null, "id": "4b3d2d4701b51be0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FEMap contains 36 ligands\n", "Computational sources: ['Method A', 'Method B']\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "from openff.units import unit\n", "\n", "from cinnabar import FEMap, plotting\n", "\n", "# load the computational results\n", "rbfe_results = pd.read_csv(\"../cinnabar/data/computational_data.csv\")\n", "\n", "# set the random seed for reproducibility - i.e. bootstrap resampling and method B's added noise\n", "rng = np.random.default_rng(seed=42)\n", "\n", "# One FEMap for this ligand series\n", "femap = FEMap()\n", "\n", "# Method A: the original calculated values\n", "for _, result in rbfe_results.iterrows():\n", " # add each calculated relative free energy to the FEMap\n", " femap.add_relative_calculation(\n", " labelA=result[\"Ligand1\"], # string identifier for ligandA\n", " labelB=result[\"Ligand2\"], # string identifier for ligandB\n", " value=result[\"calc_DDG\"] * unit.kilocalorie_per_mole, # the calculated relative free energy with units\n", " uncertainty=result[\"calc_dDDG(MBAR)\"]\n", " * unit.kilocalorie_per_mole, # the uncertainty in the calculated relative free energy with units\n", " source=\"Method A\", # optional string describing the source of the calculation\n", " )\n", "\n", "# Method B: same edges, slightly different values (simulating a second protocol)\n", "for _, result in rbfe_results.iterrows():\n", " # add each calculated relative free energy to the FEMap\n", " femap.add_relative_calculation(\n", " labelA=result[\"Ligand1\"],\n", " labelB=result[\"Ligand2\"],\n", " # add ±0.5 kcal/mol noise\n", " value=(result[\"calc_DDG\"] + rng.normal(0, 0.5)) * unit.kilocalorie_per_mole,\n", " uncertainty=result[\"calc_dDDG(MBAR)\"] * unit.kilocalorie_per_mole,\n", " source=\"Method B\",\n", " )\n", "\n", "# Experimental absolute values (shared by both methods)\n", "experimental_results = pd.read_csv(\"../cinnabar/data/experimental_data.csv\")\n", "for _, exp_row in experimental_results.iterrows():\n", " femap.add_experimental_measurement(\n", " label=exp_row[\"Ligand\"],\n", " value=exp_row[\"expt_DG\"] * unit.kilocalorie_per_mole,\n", " uncertainty=exp_row[\"expt_dDG\"] * unit.kilocalorie_per_mole,\n", " source=\"Experimental\",\n", " )\n", "\n", "# Generate MLE absolute values for both sources in one call.\n", "# This produces sources \"MLE(Method A)\" and \"MLE(Method B)\" in the absolute dataframe.\n", "femap.generate_absolute_values()\n", "print(f\"FEMap contains {femap.n_ligands} ligands\")\n", "rel_df = femap.get_relative_dataframe()\n", "print(\"Computational sources:\", rel_df.loc[rel_df[\"computational\"], \"source\"].unique().tolist())" ] }, { "cell_type": "markdown", "id": "ac1639f3c9bdc85c", "metadata": {}, "source": [ "## ECDF of Edgewise ΔΔG Errors\n", "\n", "``ecdf_plot_DDGs`` plots the empirical CDF of **absolute errors** for each directly simulated relative free energy edge. The error is computed as ``|ΔΔG_calc − ΔΔG_exp|``, where the experimental ΔΔG values are taken from the experimental measurements added to the FEMap.\n", "\n", "This is the most direct assessment of how well your RBFE calculations reproduce experimental ΔΔG values for the specific transformations you chose to simulate.\n", "\n", "The function automatically detects all computational sources in the FEMap and plots one curve per source." ] }, { "cell_type": "code", "execution_count": 2, "id": "4287e24d4a55bcec", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Both sources are plotted automatically, the figure is also returned for further customization if needed\n", "fig = plotting.ecdf_plot_DDGs(\n", " femap,\n", " title=\"ECDF of Edgewise ΔΔG Absolute Errors\",\n", " figsize=5,\n", ")" ] }, { "cell_type": "markdown", "id": "ffb4f76350eef00", "metadata": {}, "source": [ "ECDF plots include an estimate of the 95% confidence interval by default. This is generated via a bootstrapping procedure where the ECDF is calculated for each bootstrap iteration and values for the confidence interval are obtained from the distribution of ECDFs. This can be disabled by setting ``nbootstraps=0`` in any of the plots." ] }, { "cell_type": "code", "execution_count": 3, "id": "d8925c5d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Turn off the CI estimates\n", "fig = plotting.ecdf_plot_DDGs(\n", " femap,\n", " title=\"ECDF of Edgewise ΔΔG Absolute Errors\",\n", " figsize=5,\n", " nbootstraps=0,\n", ")" ] }, { "cell_type": "markdown", "id": "e091ff3d", "metadata": {}, "source": [ "You can also specify a subset explicitly. This is useful if your FEMap contains many sources but you only want to compare a few of them, or if you want to provide custom display labels." ] }, { "cell_type": "code", "execution_count": 4, "id": "374ec4a1eb44ccb0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Explicit source selection with custom display labels\n", "fig = plotting.ecdf_plot_DDGs(\n", " femap,\n", " sources=[\"Method A\", \"Method B\"],\n", " labels=[\"Pipeline A\", \"Pipeline B\"],\n", " title=\"ECDF of Edgewise ΔΔG Absolute Errors\",\n", " figsize=5,\n", ")" ] }, { "cell_type": "markdown", "id": "69bdc5bca3080930", "metadata": {}, "source": [ "
Note The ECDF curve starting closer to the upper-left corner indicates better performance as a larger fraction of predictions fall within a small error threshold.
\n" ] }, { "cell_type": "markdown", "id": "54c9d496c8a5693b", "metadata": {}, "source": [ "## ECDF of Nodewise ΔG Errors\n", "\n", "``ecdf_plot_DGs`` plots the empirical CDF of **absolute errors** in the estimated absolute free energies (ΔG) for each ligand, using computational values either backcalculated from relative calculations (by default using MLE) or from directly simulated estimates in the ``FEMap``. The error is computed as ``|ΔG_calc − ΔG_exp|``, where the experimental ΔG values are taken from the experimental measurements added to the FEMap.\n", "\n", "Both the calculated and experimental ΔG values are centered around zero before computing absolute errors (controlled by the ``centralizing`` parameter), removing the arbitrary offset introduced by the MLE reconstruction.\n", "\n", "In the case of backcalculated values generated via ``generate_absolute_values()``, the absolute dataframe contains ``MLE(Method A)`` and ``MLE(Method B)`` sources, which are detected and plotted automatically. Note that the MLE reconstruction is based on the simulated edges, so the nodewise ΔG errors are not independent of the edgewise ΔΔG errors." ] }, { "cell_type": "code", "execution_count": 5, "id": "4f9e2c1f652cb2de", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plotting.ecdf_plot_DGs(\n", " femap,\n", " title=\"ECDF of Nodewise ΔG Absolute Errors\",\n", " figsize=5,\n", ")" ] }, { "cell_type": "markdown", "id": "a39a702de66d30af", "metadata": {}, "source": [ "## ECDF of All-to-All Pairwise ΔΔG Errors\n", "\n", "``ecdf_plot_all_DDGs`` computes **all pairwise ΔΔG values** using computational absolute ΔG values either backcalculated from relative calculations (by default using MLE) or from directly simulated estimates in the ``FEMap``. The error is computed as ``|ΔΔG_calc − ΔΔG_exp|``, where the experimental ΔΔG values are derived from the experimental ΔG values added to the FEMap.\n", "\n", "This has two key advantages over ``ecdf_plot_DDGs``:\n", "\n", "- **Network-independent**: Different methods may have used different transformation graphs. By reconstructing all ΔΔGs from absolute values, you can compare on a **common set** of predictions.\n", "- **More comprehensive**: Every ligand pair is included, giving a complete picture of performance across the series, though this increases the sensitivity to outliers." ] }, { "cell_type": "code", "execution_count": 6, "id": "dc6ef731971b38fd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plotting.ecdf_plot_all_DDGs(\n", " femap,\n", " title=\"ECDF of All-to-All Pairwise ΔΔG Absolute Errors\",\n", " figsize=5,\n", ")" ] }, { "cell_type": "markdown", "id": "ea2ae63a1adfa293", "metadata": {}, "source": [ "## Comparing across multiple systems\n", "\n", "The three plotting functions above compare sources **within** a single FEMap (one ligand series / protein target). When you want to compare the **same method across several different targets**, each target has its own separate ``FEMap`` and you can aggregate errors yourself using the underlying DataFrames.\n", "\n", "The pattern is:\n", "\n", "1. Iterate over your target FEMaps.\n", "2. Call ``get_relative_dataframe()`` (edgewise ΔΔG) or ``get_absolute_dataframe()`` (nodewise ΔG).\n", "3. Filter to the source of interest, join with experimental values, compute ``|calc − exp|``.\n", "4. Collect into a ``dict[label → errors]`` and pass to ``ecdf_plot``.\n", "\n", "### Edgewise ΔΔG: cross-target comparison" ] }, { "cell_type": "code", "execution_count": 7, "id": "f652e3986bd21fda", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here we will make a second FEMap with random data for illustration\n", "\n", "target_2 = FEMap()\n", "for i in range(1, 21):\n", " # create a radial network\n", " target_2.add_relative_calculation(\n", " labelA=f\"Ligand0\",\n", " labelB=f\"Ligand{i}\",\n", " value=rng.normal(0, 1) * unit.kilocalorie_per_mole,\n", " uncertainty=0.2 * unit.kilocalorie_per_mole,\n", " source=\"Method A\",\n", " )\n", " target_2.add_experimental_measurement(\n", " label=f\"Ligand{i}\",\n", " value=rng.normal(-8, 2) * unit.kilocalorie_per_mole,\n", " uncertainty=0.5 * unit.kilocalorie_per_mole,\n", " source=\"Experimental\",\n", " )\n", "# add the central ligand value\n", "target_2.add_experimental_measurement(\n", " label=f\"Ligand0\",\n", " value=-9 * unit.kilocalorie_per_mole,\n", " uncertainty=0.5 * unit.kilocalorie_per_mole,\n", " source=\"Experimental\",\n", ")\n", "\n", "target_femaps = {\n", " \"Target 1\": femap,\n", " \"Target 2\": target_2,\n", "}\n", "\n", "# extract the data for Method A only across the targets\n", "METHOD = \"Method A\"\n", "\n", "datasets = {}\n", "for target_name, fm in target_femaps.items():\n", " df = fm.get_relative_dataframe()\n", " exp_df = (\n", " df[~df[\"computational\"]]\n", " .drop_duplicates(subset=[\"labelA\", \"labelB\"])\n", " .set_index([\"labelA\", \"labelB\"])[[\"DDG (kcal/mol)\"]]\n", " .rename(columns={\"DDG (kcal/mol)\": \"DDG_exp\"})\n", " )\n", " comp_df = df[df[\"computational\"] & (df[\"source\"] == METHOD)].set_index([\"labelA\", \"labelB\"])[[\"DDG (kcal/mol)\"]]\n", " merged = comp_df.join(exp_df, how=\"left\").dropna(subset=[\"DDG_exp\"])\n", " datasets[f\"{target_name} – {METHOD}\"] = np.abs(merged[\"DDG (kcal/mol)\"] - merged[\"DDG_exp\"]).values\n", "\n", "fig = plotting.ecdf_plot(\n", " datasets=datasets,\n", " title=f\"Cross-target comparison – {METHOD} (edgewise ΔΔG)\",\n", " xlabel=\"Edgewise\",\n", " figsize=5,\n", ")" ] }, { "cell_type": "markdown", "id": "85ae39dcfa0a2d36", "metadata": {}, "source": [ "## Customisation\n", "\n", "All ECDF functions share a common set of customisation options via ``ecdf_plot``:\n", "\n", "- ``colors``: a list of colors (one per source/dataset) to override the default palette.\n", "- ``figsize``: either a single float (square figure) or a ``(width, height)`` tuple.\n", "- ``title``: set to ``None`` to suppress the title entirely.\n", "- ``ecdf_kwargs``: a dict passed directly to ``seaborn.ecdfplot`` (e.g., to change line style or width).\n", "- ``filename``: if provided, the figure is saved to this path." ] }, { "cell_type": "code", "execution_count": 8, "id": "94382d23a434558a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plotting.ecdf_plot_DDGs(\n", " femap,\n", " sources=[\"Method A\", \"Method B\"],\n", " labels=[\"Pipeline A\", \"Pipeline B\"],\n", " title=\"Customised ECDF Plot\",\n", " figsize=(6, 4),\n", " colors=[\"steelblue\", \"tomato\"],\n", " ecdf_kwargs={\"linewidth\": 3, \"linestyle\": \"--\"},\n", ")" ] }, { "cell_type": "markdown", "id": "13fce6d2e1ad438b", "metadata": {}, "source": [ "## Recap\n", "\n", "- ECDF plots show the **full distribution** of prediction errors, complementing aggregate statistics like RMSE and MUE.\n", "- Use **one** ``FEMap`` per ligand series. Add different methods as different ``source`` labels within the same FEMap.\n", "- ``ecdf_plot_DDGs``, ``ecdf_plot_DGs``, and ``ecdf_plot_all_DDGs`` each accept a single ``FEMap`` and compare its sources automatically.\n", "- ``ecdf_plot_DGs`` and ``ecdf_plot_all_DDGs`` require ``femap.generate_absolute_values()`` to have been called first or simulated absolute free energy estimates to be added to the ``FEMap``.\n", "- To compare the same method **across multiple protein targets**, use the low-level ``ecdf_plot`` directly, extracting error arrays via ``get_relative_dataframe()`` or ``get_absolute_dataframe()``." ] } ], "metadata": { "kernelspec": { "display_name": "cinnabar", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }