{ "cells": [ { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ ".. _user_guide_approximation:" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Approximation: Interpolation and Regression" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Approximation is a broad concept in mathematics and numerical analysis that involves finding a function or model that closely represents a set of data points or a more complex function. The goal is to provide a simpler or more manageable representation while maintaining accuracy within acceptable bounds. In order to correctly use the library, it is important to understand the differences between the two subdomains, interpolation and regression.\n", "\n", "* **Interpolation**:\n", " - **Definition**: Interpolation is the process of constructing a new function that passes exactly through a given set of known data points. The function is typically used to estimate unknown values within the range of the known data points.\n", " - **Application**: Used when you have a set of exact data points and want to estimate values within the range of the data. It is often used in fields like computer graphics, engineering, and numerical analysis.\n", " - **Methods**: Common methods include polynomial interpolation (like Lagrange interpolation), spline interpolation, and piecewise linear interpolation.\n", "\n", "* **Regression**:\n", " - **Definition**: Regression is the process of fitting a function or model to a set of data points, typically with the goal of modeling the relationship between variables. Unlike interpolation, regression does not necessarily pass through the given data points; instead, it aims to minimize the difference (or error) between the data points and the model.\n", " - **Application**: Used when the data is noisy or when there is a need to model a trend, often in statistics, machine learning, and economics. Regression is used to predict or infer the relationship between variables.\n", " - **Methods**: Common methods include linear regression, polynomial regression, and non-linear regression techniques." ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ ".. _user_guide_interpolation:" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Interpolation" ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "📖 :ref:`Interpolation API Reference `" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Lagrange Interpolation in 1d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given $n+1$ data points $((x_0, y_0), (x_1, y_1), \\ldots, (x_n, y_n))$, the Lagrange interpolation polynomial $P(x)$ is expressed as:\n", "\n", "$$\n", "P(x) = \\sum_{i=0}^{n} y_i L_i(x)\n", "$$\n", "\n", "where $L_i(x)$ are the **Lagrange basis polynomials** defined as\n", "\n", "$$\n", "L_i(x) = \\prod_{\\substack{0 \\leq j \\leq n \\\\ j \\neq i}} \\frac{x - x_j}{x_i - x_j}\n", "$$\n", "\n", "Each $L_i(x)$ is constructed so that $L_i(x_j)=1$ if $i=j$ and $L_i(x_j)=0$ if $i \\neq j$. This ensures that the polynomial $P(x)$ passes through all given points exactly." ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "You can generate Lagrange basis polynomials of any degree using the :func:`~sigmaepsilon.math.approx.lagrange.gen_Lagrange_1d` function. Note that it only generates the basis functions $L_i(x)$, not the interpolation function $P(x)$. If you want the interpolation polynomial $P(x)$ directly, use the :func:`~sigmaepsilon.math.approx.lagrange.approx_Lagrange_1d` function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generating the Lagrange Basis Polynomials" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.math.approx.lagrange import gen_Lagrange_1d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let say you want to obtain the approximation functions for the case where the values are known at the points $x_1 = -1$, $x_2 = 0$ and $x_3 = 1$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DeepDict({1: DeepDict({'symbol': '\\\\phi_{1}', 0: x*(x - 1)/2, 1: x - 1/2, 2: 1, 3: 0}), 2: DeepDict({'symbol': '\\\\phi_{2}', 0: 1 - x**2, 1: -2*x, 2: -2, 3: 0}), 3: DeepDict({'symbol': '\\\\phi_{3}', 0: x*(x + 1)/2, 1: x + 1/2, 2: 1, 3: 0})})" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "functions = gen_Lagrange_1d(x=[-1, 0, 1])\n", "\n", "functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With these settings, the function returns the necessary approximation functions and their derivatives up to 3rd." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(sigmaepsilon.deepdict.deepdict.DeepDict, [1, 2, 3])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(functions), list(functions.keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The returned object is a deep dictionary from ``sigmaepsilon.deepdict``. The length of the dictionary is 3, because there are 3 data points. If we look into the first of these, this is what we see:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DeepDict({'symbol': '\\\\phi_{1}', 0: x*(x - 1)/2, 1: x - 1/2, 2: 1, 3: 0})" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "functions[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see, that every approximation function has 4 items. The first of these is the LaTeX string symbol of the symbol of the function, the others are functions to evaulate the approximation function (with key 0) and its derivatives." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'\\\\phi_{1}'" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "functions[1, \"symbol\"]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{x \\left(x - 1\\right)}{2}$" ], "text/plain": [ "x*(x - 1)/2" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "functions[1, 0]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sympy.core.mul.Mul" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(functions[1, 0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you prefer zero based indexing for the functions, you can have control over it using the argument `i` as follows:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DeepDict({0: DeepDict({'symbol': '\\\\phi_{0}', 0: x*(x - 1)/2, 1: x - 1/2, 2: 1, 3: 0}), 1: DeepDict({'symbol': '\\\\phi_{1}', 0: 1 - x**2, 1: -2*x, 2: -2, 3: 0}), 2: DeepDict({'symbol': '\\\\phi_{2}', 0: x*(x + 1)/2, 1: x + 1/2, 2: 1, 3: 0})})" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "functions = gen_Lagrange_1d(x=[-1, 0, 1], i=[0, 1, 2])\n", "functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that in this case the LaTeX code of the first function is $\\phi_{0}$, instead of $\\phi_{1}$, hence the data corresponding to the first apprimation function is accessible with the key 0, instead of 1 as it was in the previous case." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'\\\\phi_{0}'" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "functions[0, \"symbol\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can obtain the approximation functions in purely symbolic form, where the data points are variables in the functions:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{x - x_{2}}{x_{1} - x_{2}}$" ], "text/plain": [ "(x - x_2)/(x_1 - x_2)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_Lagrange_1d(i=[1, 2], sym=True)[1, 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, the argument $i=[1, 2]$ only affects the indices used in the output." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{x - x_{2}}{x_{1} - x_{2}}$" ], "text/plain": [ "(x - x_2)/(x_1 - x_2)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_Lagrange_1d(i=[0, 1], sym=True)[0, 0]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 0.5 - 0.5 x$" ], "text/plain": [ "0.5 - 0.5*x" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_Lagrange_1d(i=[0, 1], sym=False)[0, 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly, if we substitute the right values, we can see that the result is the same:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{1}{2} - \\frac{x}{2}$" ], "text/plain": [ "1/2 - x/2" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_Lagrange_1d(i=[0, 1], sym=True)[0, 0].subs({'x_1': -1, 'x_2': 1})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the approximation functions for interpolating over 4 points in the standard domain $[-1, 1]$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sigmaepsilon.math.function import Function\n", "import matplotlib.pyplot as plt\n", "from matplotlib import gridspec\n", "import numpy as np\n", "\n", "inds = [1, 2, 3, 4]\n", "data = gen_Lagrange_1d(i=inds)\n", "\n", "fig = plt.figure(figsize=(4, 7)) # in inches\n", "fig.patch.set_facecolor('white')\n", "gs = gridspec.GridSpec(len(inds), 1)\n", "\n", "xdata = np.linspace(-1, 1, 100)\n", "\n", "for i, ind in enumerate(inds):\n", " ax = fig.add_subplot(gs[i])\n", " label = '$' + data[ind]['symbol'] + '$'\n", " ax.set_title(label)\n", " fnc = Function(data[ind][0])\n", " fdata = fnc([xdata])\n", " ax.plot(xdata, fdata)\n", " ax.hlines(y=0, xmin=-1, xmax=1, colors='k', zorder=-10, lw=1.0)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generating the Lagrange Interpolation Polynomial" ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "If you want the interpolation polynomial $P(x)$ directly, use the :func:`~sigmaepsilon.math.approx.lagrange.approx_Lagrange_1d` function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to obtain a numerical function, it is suggested to specify `lambdify=True`. With this option, the resulting symbolic expression is turned into a high-performance 'NumPy function' via calling `sympy.lambdify`." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 10, 5)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sigmaepsilon.math.approx import approx_Lagrange_1d\n", "\n", "points, values = [-1, 1], [0, 10]\n", "approx = approx_Lagrange_1d(points, values, lambdify=True)\n", "approx(-1), approx(1), approx(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to use symbols in either the locations" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{2}{L}$" ], "text/plain": [ "2/L" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import sympy as sy\n", "\n", "L = sy.symbols('L', real=True, positive=True)\n", "fnc = approx_Lagrange_1d([0, L], [-1, 1])\n", "dfnc = fnc.diff('x')\n", "dfnc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or as the values" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{L}{2}$" ], "text/plain": [ "L/2" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fnc = approx_Lagrange_1d([-1, 1], [0, L])\n", "dfnc = fnc.diff('x')\n", "dfnc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lagrange Interpolation in Higher Dimensions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the need for the approximation function to pass through each data point precisely, generating Lagrange interpolation polynomials in higher dimensions is a highly challenging task. While it can be relatively straightforward in 2 or 3 dimensions, finding a general solution becomes significantly more complex, and there is currently no practical demand for it. If you're looking to perform interpolation in 2 or 3 dimensions over domains or arbitrary shapes, we recommend using the `sigmaepsilon.mesh` or `PyVista` libraries." ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ ".. _user_guide_regression:" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Regression" ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "📖 :ref:`Regression API Reference `" ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "If you don't need the approximation function to pass through the data points exactly, you need regression.\n", "\n", "The library provides two ways to find fit functions by means of linear or nonlinear regression. You can use the least-quares, weighted least-squares or the moving least-squares method. The two ways of arriving at the fit function (and possibly its derivatives) are:\n", "\n", "- By using the :func:`~sigmaepsilon.math.approx.ls.least_squares`, :func:`~sigmaepsilon.math.approx.ls.weighted_least_squares` and :func:`~sigmaepsilon.math.approx.ls.moving_least_squares` functions. These implementations are less performant, but provide great flexibility and customization of behavior.\n", "\n", "- By using the :class:`~sigmaepsilon.math.approx.mls.MLSApproximator` class. This is a high-performance implementation, at the cost of the weight function being fixed. Also, at the moment this class can only be used to approximate the function values." ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Least-Squares (LS) Approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a globally defined fit function using 9 points and two sets of known values." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((9, 2), (9, 2))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "# the coordinates of the known values\n", "points = [(1, 1), (1, -1), (-1, 1), (-1, -1), (0, 0), (1, 0), (-1, 0), (0, 1), (0, -1)]\n", "points = np.array(points)\n", "\n", "# two sets of known values\n", "values = [[1, -0.5, 1, 1, -1, 0, 0, 0, 0], [1, -1, 0, 0, 1, 0, -1, -1, 1]]\n", "# transpose the values because the function expects datasets to be columns\n", "values = np.array(values).T\n", "\n", "points.shape, values.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the shapes of these arrays, we can tell that we have 9 points in 2d and we also have 2 points for each point." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We wish to fit a quadratic (2nd order) polynomial for a set of points in a 2 dimensional space (each point has 2 coordinates)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.math.approx import least_squares\n", "\n", "approx = least_squares(points, values, deg=2, order=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use this approximator to evaluate the fit function and its derivatives. For instance, if we wanted to evaluate the approximation functions at $\\mathbf{x} = (0, 0)$:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([-0.83333333, 0.33333333]),\n", " array([-0.25 , 0.16666667]),\n", " array([0.25, 0. ]),\n", " None,\n", " None,\n", " None)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f, fdx, fdy, fdxx, fdyy, fdxy = approx([0, 0])\n", "f, fdx, fdy, fdxx, fdyy, fdxy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the approximation functions for the partial derivatives $\\frac{\\partial^2 f}{\\partial x^2}$, $\\frac{\\partial^2 f}{\\partial z^2}$ and $\\frac{\\partial^2 f}{\\partial x \\partial y}$ are `None`, since we were only asking for the first derivatives by providing the argument `order=1`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now plot the fit function with Matplotlib." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib import cm\n", "\n", "n = 20 # number of sampling points per coordinate\n", "X = np.linspace(-1, 1, n)\n", "Y = np.linspace(-1, 1, n)\n", "X, Y = np.meshgrid(X, Y)\n", "Z = np.zeros([values.shape[-1], n, n])\n", "\n", "for i in range(n):\n", " for j in range(n):\n", " f, *_ = approx([X[i, j], Y[i, j]])\n", " Z[:, i, j] = f\n", "\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(221, projection=\"3d\")\n", "ax2 = fig.add_subplot(222, projection=\"3d\")\n", "\n", "ax1.plot_surface(X, Y, Z[0, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax2.plot_surface(X, Y, Z[1, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "\n", "ax1.set_xlabel(\"$x_1$\")\n", "ax1.set_ylabel(\"$x_2$\")\n", "ax2.set_xlabel(\"$x_1$\")\n", "ax2.set_ylabel(\"$x_2$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Weighted Least-Squares (WLS) Approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For now, we are going to use a prepared dataset, that you can find among the downloads. It consists of a NumPy array, where the first two columns are for the inputs (the points) and the remaining columns represent the outputs (the values)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((102, 2), (102, 4))" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from sigmaepsilon.math.downloads import download_mls_testdata\n", "\n", "data: np.ndarray = download_mls_testdata()\n", "points = data[:, :2]\n", "values = data[:, 2:]\n", "\n", "points.shape, values.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that we have 102 data points in 2d and the same number of values in 4d." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the weighted least-squares method, we also have to specify a suitable weight function." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.math.approx import weighted_least_squares, CubicWeightFunction\n", "\n", "w = CubicWeightFunction(core=[0.0, 0.0], supportdomain=[0.5, 0.5])\n", "approx = weighted_least_squares(points, values, deg=2, order=0, w=w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the approximation functions for each 4 output dimensions." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib import cm\n", "\n", "n = 20 # number of sampling points per coordinate\n", "X = np.linspace(0, 1, n)\n", "Y = np.linspace(0, 1, n)\n", "X, Y = np.meshgrid(X, Y)\n", "Z = np.zeros([4, n, n])\n", "\n", "for i in range(n):\n", " for j in range(n):\n", " f, *_ = approx([X[i, j], Y[i, j]])\n", " Z[:, i, j] = f\n", "\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(221, projection=\"3d\")\n", "ax2 = fig.add_subplot(222, projection=\"3d\")\n", "ax3 = fig.add_subplot(223, projection=\"3d\")\n", "ax4 = fig.add_subplot(224, projection=\"3d\")\n", "\n", "ax1.plot_surface(X, Y, Z[0, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax2.plot_surface(X, Y, Z[1, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax3.plot_surface(X, Y, Z[2, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax4.plot_surface(X, Y, Z[3, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "\n", "ax1.set_xlabel(\"IN 1\")\n", "ax1.set_ylabel(\"IN 2\")\n", "ax1.set_zlabel(\"OUT 1\")\n", "ax2.set_xlabel(\"IN 1\")\n", "ax2.set_ylabel(\"IN 2\")\n", "ax2.set_zlabel(\"OUT 2\")\n", "ax3.set_xlabel(\"IN 1\")\n", "ax3.set_ylabel(\"IN 2\")\n", "ax3.set_zlabel(\"OUT 3\")\n", "ax4.set_xlabel(\"IN 1\")\n", "ax4.set_ylabel(\"IN 2\")\n", "ax4.set_zlabel(\"OUT 4\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Moving Least-Squares (MLS) Approximation" ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Using the :func:`~sigmaepsilon.math.approx.ls.moving_least_squares` function is the same as with the :func:`~sigmaepsilon.math.approx.ls.weighted_least_squares` function. The only difference is in the behaviour, as the MLS adjusts the `core` of the weight function, hence the term 'moving'." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "((102, 2), (102, 4))" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from sigmaepsilon.math.downloads import download_mls_testdata\n", "\n", "data: np.ndarray = download_mls_testdata()\n", "points = data[:, :2]\n", "values = data[:, 2:]\n", "\n", "points.shape, values.shape" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib import cm\n", "\n", "n = 20 # number of sampling points per coordinate\n", "X = np.linspace(0, 1, n)\n", "Y = np.linspace(0, 1, n)\n", "X, Y = np.meshgrid(X, Y)\n", "Z = np.zeros([4, n, n])\n", "\n", "for i in range(n):\n", " for j in range(n):\n", " f, *_ = approx([X[i, j], Y[i, j]])\n", " Z[:, i, j] = f\n", "\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(221, projection=\"3d\")\n", "ax2 = fig.add_subplot(222, projection=\"3d\")\n", "ax3 = fig.add_subplot(223, projection=\"3d\")\n", "ax4 = fig.add_subplot(224, projection=\"3d\")\n", "\n", "ax1.plot_surface(X, Y, Z[0, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax2.plot_surface(X, Y, Z[1, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax3.plot_surface(X, Y, Z[2, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "ax4.plot_surface(X, Y, Z[3, ::], cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "\n", "ax1.set_xlabel(\"IN 1\")\n", "ax1.set_ylabel(\"IN 2\")\n", "ax1.set_zlabel(\"OUT 1\")\n", "ax2.set_xlabel(\"IN 1\")\n", "ax2.set_ylabel(\"IN 2\")\n", "ax2.set_zlabel(\"$OUT 2\")\n", "ax3.set_xlabel(\"IN 1\")\n", "ax3.set_ylabel(\"IN 2\")\n", "ax3.set_zlabel(\"$OUT 3\")\n", "ax4.set_xlabel(\"IN 1\")\n", "ax4.set_ylabel(\"IN 2\")\n", "ax4.set_zlabel(\"$OUT 4\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, the difference between the two is hardly noticeable now, but if you create a difference plot, or play around with them, you fill find that the MLS is the more accurate one." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Moving Least Squares Approximation using the `MLSApproximator` class" ] }, { "cell_type": "raw", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "The :class:`~sigmaepsilon.math.approx.mls.MLSApproximator` class is different from the previous implementation in that it is high-performance. This comes at the cost that the choice of the weight function is fixed. Another difference is that it uses a kNN tree to decide the points around the neighbourhood of the point of evaluation on which the regression is made. Also, the class only approximates the function, not the derivatives." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((102, 2), (102, 4))" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from sigmaepsilon.math.downloads import download_mls_testdata\n", "\n", "data: np.ndarray = download_mls_testdata()\n", "points = data[:, :2]\n", "values = data[:, 2:]\n", "\n", "points.shape, values.shape" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[6.88029282e+05, 6.88029282e+05, 2.92550220e+05, 1.97073011e+05],\n", " [3.66243143e+04, 3.66243143e+04, 1.34600139e+03, 8.17082870e+01],\n", " [6.88029282e+05, 6.88029282e+05, 2.92550220e+05, 1.97073011e+05],\n", " [6.58356356e+05, 6.77569470e+05, 2.80088371e+05, 1.91808300e+05],\n", " [6.09160300e+05, 6.64341189e+05, 2.59715765e+05, 1.83912612e+05]])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sigmaepsilon.math.approx import MLSApproximator\n", "\n", "approximator = MLSApproximator(points, values)\n", "approximator.approximate(points)[:5, :]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can approximate n-dimensional data as well:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(102, 5, 2, 6, 10)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "values = np.random.rand(len(points), 5, 2, 6, 10)\n", "approximator = MLSApproximator(points, values)\n", "approximator.approximate(points).shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The performance of the approximator is perhaps better understood visually using 1d data. For the purpose of this example, we are going to use a sine function, with some random noise added on top of it." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((200,), (200,))" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sigmaepsilon.math import atleast2d\n", "\n", "plt.ioff() # Turn off interactive plotting\n", "\n", "number_of_data_points = 200\n", "number_of_sampling_points = 16\n", "\n", "coords = np.linspace(0, 1, number_of_data_points)\n", "random_noise = np.random.normal(0, 0.2, coords.shape)\n", "data = np.sin(4 * np.pi * coords) + random_noise\n", "\n", "fig, axs = plt.subplots(1, 1, layout=\"constrained\")\n", "axs.plot(coords, data, \"o\", color=\"black\")\n", "axs.set_title(\"MLS approximation using kNN\")\n", "\n", "data.shape, coords.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will approximate the underlying function with different settings and plot the approximation functions." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coords_approx = np.linspace(0, 1, number_of_sampling_points)\n", "\n", "\n", "def approximate(k: int):\n", " approximator = MLSApproximator(coords, data, k=k)\n", " data_approx = approximator.approximate(coords_approx)\n", " return data_approx\n", "\n", "\n", "def plot_on_axis(ax, coords_approx, data_approx, *args, **kwargs):\n", " ax.plot(coords_approx, data_approx, *args, markersize=4, **kwargs)\n", " ax.legend()\n", "\n", "\n", "for k in [2, 4, 8, 16, 32, 64, 200]:\n", " data_approx = approximate(k)\n", " plot_on_axis(axs, coords_approx, data_approx, label=f\"MLS kNN (k={k})\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is visible that for this particular data, there is no big difference in using 4, 8, 16 or more neighbours, but the accuracy gets worse around the boundaries. Also, when all points are accounted for, the approximation reduces to a least-squares solution." ] } ], "metadata": { "kernelspec": { "display_name": "sigmaepsilon.math", "language": "python", "name": "sigmaepsilon.math" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.11" } }, "nbformat": 4, "nbformat_minor": 4 }