{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting a Linear Model\n", "This notebook demonstrates how to build the most basic model with `calibr8`.\n", "\n", "We begin with importing the relevant packages:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "\n", "import calibr8" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspecting the calibration data points\n", "At the beginning of almost every data analysis it is always a good idea to take a brief look at the data.\n", "\n", "For the purpose of this notebook, the dataset is randomly generated." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate 24 calibration points with t-distributed noise\n", "numpy.random.seed(666)\n", "N = 24\n", "X = numpy.linspace(0.1, 30, N)\n", "Y = 1.7 + 0.43 * X + 0.5 * numpy.random.standard_t(df=3, size=N)\n", "\n", "fig, ax = pyplot.subplots(dpi=120)\n", "ax.scatter(X, Y, label=\"$Y_{obs}$\")\n", "ax.set_xlabel(\"concentration\")\n", "ax.set_ylabel(\"absorbance\")\n", "ax.legend()\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the model\n", "A _linear_ function is the 2nd-simplest version of a polynomial. (The simplest being a 0th-order polynomial–a constant–but that\"s not very helpful here.)\n", "\n", "To create a linear model, we can use the `calibr8.BasePolynomialModelT` and specify a `mu_degree=1`.\n", "\n", "The `Base...ModelT` uses a [Student-t distribution](https://en.wikipedia.org/wiki/Student%27s_t-distribution), which is robust against outliers and has some numerical advantages for modeling." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "class ToyLinearModelV1(calibr8.BasePolynomialModelT):\n", " def __init__(self):\n", " super().__init__(\n", " independent_key=\"concentration\",\n", " dependent_key=\"absorbance\",\n", " mu_degree=1,\n", " scale_degree=0,\n", " )\n", "\n", "\n", "model = ToyLinearModelV1()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting the model to data\n", "A `calibr8.CalibrationModel` is typically fitted by _optimization_ using one of the helper functions from the `calibr8.optimization` module.\n", "\n", "The `fit_scipy` helper function works for about 90 % of the cases. If you have trouble finding a good fit for your model, you can try to make a better initial guess of the parameters and specify tighter bounds. For more tips on model fitting, see the \"In-depth Model Fitting\" example." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# the helper function returns:\n", "# + the optimized model parameter vector `theta_fit`\n", "# + the history of parameter vectors tested in the optimization\n", "# It also assignes some relevant variables to the `model`.\n", "theta_fit, history = calibr8.fit_scipy(\n", " model=model,\n", " independent=X,\n", " dependent=Y,\n", " theta_guess=[1, 0.5, 1, 1],\n", " theta_bounds=[\n", " (-2, 5),\n", " (0, 2),\n", " (0.01, 5),\n", " (1, 50),\n", " ],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After the `fit_scipy` function ran without warnings, we can use the `calibr8.plot_model` function to inspect the model fit." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# the function returns the matplotlib Figure and Axes, so you can do more with it.\n", "fig, axs = calibr8.plot_model(model)\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, you can use the `fit_scipy_global` helper function which does not require an initial guess and can handle wider bounds, but entails a longer computation time. \n", "The procedure does not differ much when using global optmization." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\osthege\\AppData\\Local\\miniforge3\\envs\\dibecs_9.2.1\\Lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py:2117: RuntimeWarning: divide by zero encountered in divide\n", " x = np.asarray((x - loc)/scale, dtype=dtyp)\n" ] } ], "source": [ "theta_fit, history = calibr8.fit_scipy_global(\n", " model=model,\n", " independent=X,\n", " dependent=Y,\n", " theta_bounds=[\n", " (-20, 20),\n", " (0, 20),\n", " (0, 20),\n", " (1, 100),\n", " ],\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# the function returns the matplotlib Figure and Axes, so you can do more with it.\n", "fig, axs = calibr8.plot_model(model)\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using the fitted model\n", "One common use case for such a calibration model is the inference of a dependent variable (concentration) from observations (absorbances).\n", "\n", "All `calibr8.CalibrationModel`s have a `.infer_independent()` method that numerically does this for you." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ETI (90.0 %): [8.8097, 11.4909] Δ=2.6812\n", " HDI (90.0 %): [8.8097, 11.4909] Δ=2.6812\n" ] } ], "source": [ "result = model.infer_independent(\n", " # we must pass one or more observations, and a lower/upper bound of plausible concentration\n", " y=[5.9, 6.0],\n", " lower=0,\n", " upper=30,\n", " ci_prob=0.9,\n", ")\n", "print(result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The returned object is a `calibr8.NumericPosterior` with useful properties such as the `median`, or the `hdi_lower` and `hdi_upper`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The median of the posterior is 10.2\n", "With 90 % probabilty, the concentration is between 8.8 and 11.5.\n" ] } ], "source": [ "print(f\"The median of the posterior is {result.median:.1f}\")\n", "print(\n", " f\"With {result.hdi_prob * 100:.0f} % probabilty, \"\n", " f\"the concentration is between {result.hdi_lower:.1f} and {result.hdi_upper:.1f}.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the posterior density from the `.eti_x` and `.eti_pdf` properties:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = pyplot.subplots(dpi=140)\n", "ax.plot(\n", " result.eti_x,\n", " result.eti_pdf,\n", ")\n", "ax.set_ylim(0)\n", "ax.set_ylabel(\"posterior probability density\")\n", "ax.set_xlabel(\"concentration\")\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more details on the `.infer_independent()` method, see the \"Numeric Independent Posterior\" example." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Wed, 15 Apr 2026\n", "\n", "Python implementation: CPython\n", "Python version : 3.13.12\n", "IPython version : 9.11.0\n", "\n", "calibr8 : 7.2.0\n", "matplotlib: 3.10.8\n", "numpy : 2.4.2\n", "platform : 1.0.8\n", "\n", "Watermark: 2.6.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.12" } }, "nbformat": 4, "nbformat_minor": 4 }