{ "cells": [ { "cell_type": "markdown", "id": "11c42456", "metadata": {}, "source": [ "# Linear Modeling in `edges-analysis`" ] }, { "cell_type": "markdown", "id": "9783954a", "metadata": {}, "source": [ "In this tutorial, we'll cover how to use the linear modeling tools in `edges-analysis` to fit and analyze data. Linear models are used within `edges-analysis` for a variety of tasks, including calibration of reflection coefficients, noise modeling for RFI extraction, and signal\n", "fitting. \n", "\n", "Since the `edges.modeling` module is, well, modular, you can also use it externally\n", "for your own linear modeling needs!" ] }, { "cell_type": "markdown", "id": "7d751c5c", "metadata": {}, "source": [ "## Importing" ] }, { "cell_type": "code", "execution_count": 1, "id": "3de8d0be", "metadata": {}, "outputs": [], "source": [ "# The main linear modeling module\n", "from edges import modeling as mdl\n", "\n", "# Some other imports to help us out in this tutorial\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "8671ed8a", "metadata": {}, "source": [ "## Setting up a linear model" ] }, { "cell_type": "markdown", "id": "587d6715", "metadata": {}, "source": [ "Linear models are set up using sub-classes of the `Model` base class found in the `edges.modeling` module. These sub-classes define specific types of linear models, such as polynomials, sinusoids, or custom basis functions. For example, to create a linear model with basis\n", "terms composed of Fourier series, you can use the `Fourier` class:" ] }, { "cell_type": "code", "execution_count": 2, "id": "22b51a7f", "metadata": {}, "outputs": [], "source": [ "poly = mdl.Polynomial(n_terms=4)" ] }, { "cell_type": "markdown", "id": "83ec4f25", "metadata": {}, "source": [ "We have specified this model *instance* to have 4 terms (i.e. a polynomial of degree 3). \n", "Most models have a flexible number of terms (e.g. polynomials can have any degree), so you can\n", "specify the number of terms when you create the model instance.\n", "\n", "Some models however have fixed numbers of terms, or an acceptable range of number\n", "of terms. for example the `PhysicalIono` model has \n", "up to 5 terms, and trying to specify more will raise an error:" ] }, { "cell_type": "code", "execution_count": 3, "id": "4205200d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Error creating PhysicalIono model: n_terms must be between 1 and 5\n" ] } ], "source": [ "try:\n", " physical_iono = mdl.models.PhysicalIono(n_terms=10)\n", "except ValueError as e:\n", " print(f\"Error creating PhysicalIono model: {e}\")" ] }, { "cell_type": "markdown", "id": "f4c371b9", "metadata": {}, "source": [ "A model instance is meant to be quite abstract -- for example, you do not specify\n", "which coordinates it should be evaluated at. While you can specify the coordinates \n", "directly when fitting the model, it is often useful to specify them beforehand so that\n", "the basis functions are pre-computed. You can do this with the `.at()` method:" ] }, { "cell_type": "code", "execution_count": 4, "id": "b40fb4b5", "metadata": {}, "outputs": [], "source": [ "polyx = poly.at(x=np.linspace(0,1, 100))" ] }, { "cell_type": "markdown", "id": "d2d37628", "metadata": {}, "source": [ "This is now a an instance of the `FixedLinearModel` class, which is *fixed* to a set\n", "of particular coordinates." ] }, { "cell_type": "code", "execution_count": 5, "id": "33b320f3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "edges.modeling.core.FixedLinearModel" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(polyx)" ] }, { "cell_type": "markdown", "id": "b3851f53", "metadata": {}, "source": [ "A Fixed linear model has well-defined basis functions at the specified coordinates, which\n", "can be accessed via the `.basis` attribute:" ] }, { "cell_type": "code", "execution_count": 6, "id": "87aae031", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4, 100)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "polyx.basis.shape" ] }, { "cell_type": "markdown", "id": "9e690139", "metadata": {}, "source": [ "To gain access to the underlying abstract model, simply use the `.model` attribute:" ] }, { "cell_type": "code", "execution_count": 7, "id": "43c5f385", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Polynomial(parameters=None, n_terms=4, _transform=IdentityTransform(), xtransform=IdentityTransform(), basis_scaler=None, data_transform=IdentityTransform(), offset=0.0, spacing=1.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "polyx.model" ] }, { "cell_type": "markdown", "id": "0ad49de0", "metadata": {}, "source": [ "Both a `Model` and `FixedLinearModel` instance can be *evaluated* at a set of coordinates\n", "and a set of coefficients using the `__call__` method. For example, to evaluate the\n", "Fourier model at the specified coordinates with random coefficients:" ] }, { "cell_type": "code", "execution_count": 8, "id": "49f7ed0f", "metadata": {}, "outputs": [], "source": [ "rng = np.random.default_rng(42)\n", "\n", "coeffs = rng.normal(size=poly.n_terms)\n", "\n", "evaluated = poly(x=np.linspace(0,1,100), parameters=coeffs)" ] }, { "cell_type": "markdown", "id": "cec84b00", "metadata": {}, "source": [ "or equivalently:" ] }, { "cell_type": "code", "execution_count": 9, "id": "d7bc8ce0", "metadata": {}, "outputs": [], "source": [ "evaluated_fixed = polyx(parameters=coeffs) # no need to specify x" ] }, { "cell_type": "code", "execution_count": 10, "id": "628feafe", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(polyx.x, evaluated)\n", "plt.plot(polyx.x, evaluated_fixed, '--')\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"Polynomial Model\")\n", "plt.legend([\"Model Evaluation\", \"FixedPolynomialModel Evaluation\"])" ] }, { "cell_type": "markdown", "id": "4188701a", "metadata": {}, "source": [ "## Fitting a linear model to data" ] }, { "cell_type": "markdown", "id": "b200f25b", "metadata": {}, "source": [ "To fit a linear model to data, you can use the `.fit()` method of the `FixedLinearModel` (or `Model`) instance. This method takes in the data to be fitted and returns the best-fit coefficients for the model. For example, let's create some synthetic data using the evaluated model and add some noise:" ] }, { "cell_type": "code", "execution_count": 11, "id": "9a23d8e7", "metadata": {}, "outputs": [], "source": [ "data = evaluated + 0.01 * rng.normal(size=evaluated.shape)" ] }, { "cell_type": "markdown", "id": "dc561c22", "metadata": {}, "source": [ "To fit our *fixed* linear model to this data:" ] }, { "cell_type": "code", "execution_count": 12, "id": "35b73c49", "metadata": {}, "outputs": [], "source": [ "modelfit = polyx.fit(ydata=data)" ] }, { "cell_type": "markdown", "id": "2136f1d1", "metadata": {}, "source": [ "Conversely, we could have fit the original `Model` instance by specifying the coordinates directly:" ] }, { "cell_type": "code", "execution_count": 13, "id": "3b327a7a", "metadata": {}, "outputs": [], "source": [ "modelfit_nonfixed = poly.fit(xdata=polyx.x, ydata=data)" ] }, { "cell_type": "markdown", "id": "173576f2", "metadata": {}, "source": [ "The object returned by the `.fit()` method contains the best-fit coefficients, which can be accessed via the `model_parameters` attribute:" ] }, { "cell_type": "code", "execution_count": 14, "id": "bed1fbc0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit coefficients: [ 0.2998308 -0.98691767 0.63236707 1.00964765]\n", "True coefficients: [ 0.30471708 -1.03998411 0.7504512 0.94056472]\n" ] } ], "source": [ "print(\"Fit coefficients: \", np.array(modelfit.model_parameters))\n", "print(\"True coefficients:\", coeffs)" ] }, { "cell_type": "markdown", "id": "c5fafba9", "metadata": {}, "source": [ "The `ModelFit` object can be used to evaluate the fitted model at any set of coordinates using \n", "the `.evaluate()` method (default is to use the original coordinates used in the fit).\n", "Furthermore, residuals of the fit can be obtained using the `.residual` attribute:" ] }, { "cell_type": "code", "execution_count": 16, "id": "07049cde", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Residual')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 1, sharex=True)\n", "\n", "ax[0].scatter(polyx.x, data, label=\"Noisy Data\", color='gray')\n", "ax[0].plot(polyx.x, modelfit.evaluate(), label=\"Model Fit\", color='C0')\n", "\n", "ax[1].plot(polyx.x, modelfit.residual, label=\"Residual\", color='C1')\n", "ax[1].axhline(0, color='black', linestyle='--')\n", "ax[0].legend()\n", "\n", "ax[1].set_xlabel(\"x\")\n", "ax[0].set_ylabel(\"y\")\n", "ax[1].set_ylabel(\"Residual\")\n" ] }, { "cell_type": "markdown", "id": "094406fa", "metadata": {}, "source": [ "### Using weights in the fit" ] }, { "cell_type": "markdown", "id": "0ef783bc", "metadata": {}, "source": [ "Sometimes the variance in each data point is different, and you may want to weight the fit accordingly. This can be done by providing a weights array to the `.fit()` method. The weights should be inversely proportional to the variance of the data points. For example, let's create a weights array and use it in the fit:" ] }, { "cell_type": "code", "execution_count": 18, "id": "3d4c651c", "metadata": {}, "outputs": [], "source": [ "stdev = 0.05 * (0.5 + polyx.x)\n", "weights = 1 / stdev**2\n", "\n", "weighted_data = evaluated + rng.normal(scale=stdev)" ] }, { "cell_type": "code", "execution_count": 19, "id": "8e4c39d8", "metadata": {}, "outputs": [], "source": [ "weighted_fit = polyx.fit(ydata=weighted_data, weights=weights)" ] }, { "cell_type": "code", "execution_count": 21, "id": "cf2561fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Residual')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 1, sharex=True)\n", "\n", "ax[0].scatter(polyx.x, weighted_data, label=\"Weighted Noisy Data\", color='gray')\n", "ax[0].plot(polyx.x, weighted_fit.evaluate(), label=\"Model Fit\", color='C0')\n", "\n", "ax[1].plot(polyx.x, weighted_fit.residual, label=\"Residual\", color='C1')\n", "ax[1].axhline(0, color='black', linestyle='--')\n", "ax[0].legend()\n", "\n", "ax[1].set_xlabel(\"x\")\n", "ax[0].set_ylabel(\"y\")\n", "ax[1].set_ylabel(\"Residual\")" ] }, { "cell_type": "markdown", "id": "f2dd4cfd", "metadata": {}, "source": [ "In fact, data may have a non-diagonal covariance structure. In this case, you can provide the full covariance matrix to the `.fit()` method using the same `weights` parameter \n", "(now as a 2D array). The fitting procedure will then take into account the correlations between data points when determining the best-fit coefficients." ] }, { "cell_type": "markdown", "id": "5f61a210", "metadata": {}, "source": [ "### Properties of the Fit" ] }, { "cell_type": "markdown", "id": "cda1a70b", "metadata": {}, "source": [ "Several basic properties of the fitted model are made available to evaluate the quality of the fit. These include:" ] }, { "cell_type": "code", "execution_count": 22, "id": "8a907c9c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Weighted Chi^2: 92.32770615845081\n", "Reduced Weighted Chi^2: 0.9718705911415875\n", "Weighted RMS of Residuals: 0.00017895327414410223\n", "\n", "Parameter Covariance Matrix:\n", " [[ 0.00012597 -0.0011339 0.00253597 -0.00159337]\n", " [-0.0011339 0.01517344 -0.03908428 0.02639764]\n", " [ 0.00253597 -0.03908428 0.10945216 -0.0777631 ]\n", " [-0.00159337 0.02639764 -0.0777631 0.05720814]]\n", "\n", "Parameter Correlation Matrix:\n", " [[ 1. -0.82015119 0.68295878 -0.59354128]\n", " [-0.82015119 1. -0.95906487 0.89597149]\n", " [ 0.68295878 -0.95906487 1. -0.98272605]\n", " [-0.59354128 0.89597149 -0.98272605 1. ]]\n" ] } ], "source": [ "# The weighted chi^2 value\n", "print(\"Weighted Chi^2: \", weighted_fit.weighted_chi2)\n", "\n", "# The *reduced* weighted chi^2 value (i.e., chi^2 per degree of freedom)\n", "print(\"Reduced Weighted Chi^2: \", weighted_fit.reduced_weighted_chi2)\n", "\n", "# The weighted RMS of the residuals\n", "print(\"Weighted RMS of Residuals: \", weighted_fit.weighted_rms)\n", "\n", "# The parameter covariance matrix\n", "print(\"\\nParameter Covariance Matrix:\\n\", weighted_fit.parameter_covariance)\n", "\n", "# The parameter correlation matrix\n", "print(\"\\nParameter Correlation Matrix:\\n\", weighted_fit.parameter_correlation)" ] }, { "cell_type": "markdown", "id": "14f4c095", "metadata": {}, "source": [ "You can also quickly draw sample parameter vectors from the posterior distribution using the `.get_sample()` method:" ] }, { "cell_type": "code", "execution_count": 29, "id": "a358cfff", "metadata": {}, "outputs": [], "source": [ "samples = modelfit.get_sample(size=1000)" ] }, { "cell_type": "code", "execution_count": 30, "id": "e6884956", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Parameter 1')" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hexbin(samples[:,0], samples[:,1], gridsize=30, cmap='Blues')\n", "plt.scatter(\n", " [coeffs[0]], \n", " [coeffs[1]], \n", " color='red', label='Truth', marker='x', s=100\n", ")\n", "plt.xlabel(\"Parameter 0\")\n", "plt.ylabel(\"Parameter 1\")" ] }, { "cell_type": "markdown", "id": "29441f1d", "metadata": {}, "source": [ "Finally, if you need to access the `FixedLinearModel` instance that was used in the fit,\n", "but with its parameters set to those of the fit, you can use the `.fit` attribute:" ] }, { "cell_type": "code", "execution_count": 34, "id": "9312e9db", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "[ 0.2998308 -0.98691767 0.63236707 1.00964765]\n" ] } ], "source": [ "print(type(modelfit.fit))\n", "print(np.array(modelfit.fit.parameters))" ] }, { "cell_type": "markdown", "id": "30fa9a46", "metadata": {}, "source": [ "## Composite Linear Models" ] }, { "cell_type": "markdown", "id": "2897c310", "metadata": {}, "source": [ "Sometimes you may want to fit data using a combination of linear models. This can be achieved using the `CompositeModel` class, which allows you to combine multiple linear models into a single model. Each sub-model can have its own set of basis functions and parameters." ] }, { "cell_type": "code", "execution_count": 37, "id": "91adc5c5", "metadata": {}, "outputs": [], "source": [ "composite = mdl.CompositeModel(\n", " models = {\n", " 'poly': mdl.Polynomial(n_terms=3),\n", " 'fourier': mdl.Fourier(n_terms=2, period=1.0)\n", " }\n", ")" ] }, { "cell_type": "markdown", "id": "dd730d76", "metadata": {}, "source": [ "Let's create some data that is a combination of a polynomial and a Fourier series:" ] }, { "cell_type": "code", "execution_count": 38, "id": "125592da", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 2.3, 100)\n", "\n", "true_params = rng.normal(size=composite.n_terms) # 3 + 2 == 5\n", "\n", "cdata = composite(x=x, parameters=true_params) + 0.05 * rng.normal(size=x.shape)" ] }, { "cell_type": "markdown", "id": "cba311be", "metadata": {}, "source": [ "In most ways, a `CompositeModel` looks and behaves like a regular `Model` instance. You can create a fixed version of it, fit it to data, and access its properties in the same way as before:" ] }, { "cell_type": "code", "execution_count": 39, "id": "7b7406da", "metadata": {}, "outputs": [], "source": [ "cmodelfit = composite.at(x=x).fit(ydata=cdata)" ] }, { "cell_type": "code", "execution_count": 40, "id": "a9470d87", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Residual')" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 1, sharex=True)\n", "\n", "ax[0].scatter(x, cdata, label=\"Weighted Noisy Data\", color='gray')\n", "ax[0].plot(x, cmodelfit.evaluate(), label=\"Model Fit\", color='C0')\n", "\n", "ax[1].plot(x, cmodelfit.residual, label=\"Residual\", color='C1')\n", "ax[1].axhline(0, color='black', linestyle='--')\n", "ax[0].legend()\n", "\n", "ax[1].set_xlabel(\"x\")\n", "ax[0].set_ylabel(\"y\")\n", "ax[1].set_ylabel(\"Residual\")" ] }, { "cell_type": "markdown", "id": "7e275167", "metadata": {}, "source": [ "However, here you can also split the model back into its constituent sub-models. For example, to access the polynomial and Fourier sub-models separately, use the `.get_model()` method,\n", "and supply the `model_parameters` of the fit (note that you need to use a `CompositeModel` \n", "to access `.get_model`, rather than a `FixedLinearModel`):" ] }, { "cell_type": "code", "execution_count": null, "id": "4ef61eed", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "polyterm = cmodel.get_model(\"poly\", x=x, parameters=cmodelfit.model_parameters)\n", "fourierterm = cmodel.get_model(\"fourier\", x=x, parameters=cmodelfit.model_parameters)\n", "\n", "plt.plot(x, polyterm, label=\"Polynomial Term\")\n", "plt.plot(x, fourierterm, label=\"Fourier Term\")\n", "plt.plot(x, polyterm + fourierterm, label=\"Combined Model\")\n", "plt.scatter(x, cdata, label=\"Data\", color='gray', s=10)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"Model Terms\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "d3097a07", "metadata": {}, "source": [ "## Changing Fitting Methods" ] }, { "cell_type": "markdown", "id": "d37272eb", "metadata": {}, "source": [ "The default method used for solving the linear models is `numpy.linalg.lstsq`, which uses a least-squares approach. However, you can change the fitting method using the `method` parameter of the `.fit()` method. Available methods include \"qr\" and \"alan-qrd\" (the latter is a QR decomposition method that attempts to replicate a legacy EDGES C-based pipeline, and \n", "should not usually be used)." ] }, { "cell_type": "code", "execution_count": 46, "id": "bb014451", "metadata": {}, "outputs": [], "source": [ "qr_fit = composite.at(x=x).fit(ydata=cdata, method='qr')" ] }, { "cell_type": "code", "execution_count": 48, "id": "3bfa7371", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, qr_fit.residual, label=\"QR Fit Residuals\", color='C0')\n", "plt.plot(x, cmodelfit.residual, label=\"Lstsq Fit Residuals\", color='C1')\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "4fe3793c", "metadata": {}, "source": [ "## Data Transformations" ] }, { "cell_type": "markdown", "id": "1dd3a026", "metadata": {}, "source": [ "The `edges.modeling` package also supports pre-applying transformations to the \n", "data and coordinates before fitting. When doing so, the same transformations are applied\n", "when evaluating the model, so you can pass in the original (untransformed) coordinates to\n", "get the correct model values." ] }, { "cell_type": "markdown", "id": "6dc7e5e9", "metadata": {}, "source": [ "To create a transform, use a `DataTransform` instance. For example, to create a transform\n", "that normalizes the data into the range (-1,1):" ] }, { "cell_type": "code", "execution_count": null, "id": "2190db80", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 55, "id": "ade70c2a", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(50, 100, 125) # maybe these are frequencies in MHz\n", "\n", "transform = mdl.ZerotooneTransform(range=(50, 100))\n", "\n", "fourier = mdl.Fourier(n_terms=8, transform=transform, period=1.0)" ] }, { "cell_type": "code", "execution_count": null, "id": "e4cfd037", "metadata": {}, "outputs": [], "source": [ "p = rng.normal(size=fourier.n_terms)\n", "\n", "# Notice that when evaluating the fourier model, we use the original (untransformed) x values\n", "data = fourier(x=x, parameters=p) + 0.1 * rng.normal(size=x.shape)" ] }, { "cell_type": "code", "execution_count": 59, "id": "02d41c09", "metadata": {}, "outputs": [], "source": [ "# Also when fitting, using the untransformed x values\n", "\n", "modelfit = fourier.fit(xdata=x, ydata=data)" ] }, { "cell_type": "code", "execution_count": 61, "id": "70a02973", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, data, label='Data')\n", "plt.plot(x, modelfit.evaluate(), label='Model Fit', linestyle='--')\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "30e21de4", "metadata": {}, "source": [ "## Special Composite Models: Complex Functions" ] }, { "cell_type": "markdown", "id": "2d6e3995", "metadata": {}, "source": [ "There are two special cases of the `CompositeModel` class that are useful for\n", "modeling complex-valued data: `ComplexMagPhaseModel` and `ComplexRealImagModel`. These\n", "models allow you to fit complex data by separating it into magnitude and phase components,\n", "or real and imaginary components, respectively. This is particularly useful in applications such as\n", "modeling reflection coefficients or complex impedance data." ] }, { "cell_type": "code", "execution_count": 64, "id": "5a2beebd", "metadata": {}, "outputs": [], "source": [ "complex_model = mdl.ComplexRealImagModel(\n", " real=mdl.Polynomial(n_terms=3),\n", " imag=mdl.Polynomial(n_terms=3),\n", ")" ] }, { "cell_type": "markdown", "id": "cbdefa9c", "metadata": {}, "source": [ "Let's specify some mock parameters and coordinates:" ] }, { "cell_type": "code", "execution_count": 66, "id": "87c5cd09", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 1, 25)\n", "\n", "params = rng.normal(size=6) # should be 6 parameters\n", "\n", "data = complex_model(x=x, parameters=params) + 0.05 * (rng.normal(size=x.shape) + 1j * rng.normal(size=x.shape))" ] }, { "cell_type": "markdown", "id": "c97477d6", "metadata": {}, "source": [ "Applying the `.fit()` method here is a bit different to the `Model` and `CompositeModel` cases,\n", "and instead returns a new `ComplexRealImagModel` instance with the fitted parameters\n", "inserted:" ] }, { "cell_type": "code", "execution_count": 67, "id": "3ebb238a", "metadata": {}, "outputs": [], "source": [ "complex_fit = complex_model.fit(xdata=x, ydata=data)" ] }, { "cell_type": "code", "execution_count": 72, "id": "14aa1ae1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x, data.real, label=\"Noisy Data (rl)\", color='gray')\n", "plt.scatter(x, data.imag, label=\"Noisy Data (im)\", color='lightgray')\n", "\n", "evaluated_fit = complex_fit()\n", "plt.plot(x, evaluated_fit.real, label=\"Lstsq Fit (rl)\", color='C0')\n", "plt.plot(x, evaluated_fit.imag, label=\"Lstsq Fit (im)\", color='C1')\n", "\n", "plt.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "edges-analysis", "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": "3.12.6" } }, "nbformat": 4, "nbformat_minor": 5 }