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Gaussian-function.py
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215 lines (215 loc) · 199 KB
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{
"cells": [
{
"cell_type": "markdown",
"id": "6438b13e-b177-4eb7-9e00-45c0f7db8f8d",
"metadata": {},
"source": [
"---\n",
"title: \"Gaussian Distributions\"\n",
"date: \"2026-1-11\"\n",
"categories: [Python 3, Jupyter Notebook, Numpy, Matplotlib, Gaussian]\n",
"---"
]
},
{
"cell_type": "markdown",
"id": "6acead47-8d82-488d-b6ab-e6ee0fb0b6f9",
"metadata": {},
"source": [
"[]()"
]
},
{
"cell_type": "markdown",
"id": "793eff69-42ea-487b-b0e9-bb87f6af40d8",
"metadata": {},
"source": [
"# Gaussian Distributions\n",
"The Gaussian distribution is defined by two parameters: the mean ($\\mu$) and the standard deviation ($\\sigma$). These determine the centre and spread of the distribution, respectively. The probability density function (PDF) of the Gaussian distribution describes the likehood of observing a value x given the distribution's parameters.\n",
"\n",
"## Standard Normal Probability Density Function (PDF)\n",
"In one dimension, the standard normal probability density function $f(x)$ describes the probability density of observing a value $x$ from a standard normal distribution. It is defined as:\n",
"<p align='center'>\n",
" $f(x\\;|\\;\\mu,\\;\\sigma)=\\frac{1}{\\sigma\\sqrt{2\\pi}}exp[-\\frac{x-\\mu^{2}}{2\\sigma^{2}}]$\n",
"</p>\n",
"\n",
"where:\n",
"- x is the value at which to evaluate the probaility density function.\n",
"- $\\mu$ is the mean of the distribution.\n",
"- $\\sigma$ is the standard deviation of the distribution.\n",
"\n",
"## Function arguments\n",
"This script requires the following function arguments:\n",
"- `make_gauss`: Plot multiple Gaussian curves by defining a Gaussian funcyion factory.\n",
"- `N` (amplitudo): Controls the overall heght of the Gaussian. \n",
"- `sig` (standard deviation, $\\sigma$): Determines the spread of the Gaussian.\n",
"- `mu` (mean, $\\mu$): Sets the center of the Gaussian.\n",
"- `return lambda`: creates a function of `x` that computes the Gaussian formula.\n",
"\n",
"This python script demonstrates the Gaussian distribution function, also known as the normal distribution. "
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "cef17ebf-8716-4a45-97da-341aa82156d3",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def make_gauss(N, sig, mu):\n",
" return lambda x: N/(sig * np.sqrt(2*np.pi)) * np.exp(-(x-mu)**2/(2 * sig**2))\n",
"\n",
"def main():\n",
" fig, ax = plt.subplots()\n",
" x = np.arange (-5, 5, 0.01)\n",
"\n",
" variances = [0.2, 1, 5, 0.5]\n",
" sigmas = np.sqrt(variances)\n",
" mus = [0, 0, 0, -2]\n",
" colors = ['b', 'r', 'y', 'g']\n",
"\n",
" for var, sig, mu, color in zip(variances, sigmas, mus, colors):\n",
" gauss = make_gauss(1, sig, mu)(x)\n",
" ax.plot(x, gauss, color, linewidth=2, label=f'$\\\\sigma^{2}={var}, \\\\mu={mu}$') \n",
"\n",
" ax.set_xlim(-5, 5)\n",
" ax.set_ylim(0, 1)\n",
" ax.set_ylabel(r'$\\phi_{\\mu,\\sigma^{2}}(x)$', fontsize=14)\n",
" ax.set_xlabel(r'$x$', fontsize=14)\n",
" ax.legend()\n",
" ax.grid(True, linestyle='--', alpha=0.6)\n",
" ax.set_title(\"Gaussian Functions with Different Variable\")\n",
" plt.savefig('Gaussian Functions with Different Variable.svg', bbox_inches='tight')\n",
" plt.show()\n",
"\n",
"main()"
]
},
{
"cell_type": "markdown",
"id": "a65976d1-5072-4daa-be3e-0ba92518ccf4",
"metadata": {},
"source": [
"## Two-dimensional Gaussian Function\n",
"In two dimensions, the circular Gaussian is the distribution function for uncorrelated variates $x$ and $y$ having a bivariate normal distribution and equal standard deviation $\\sigma=\\sigma_{x}=\\sigma_{y}$.\n",
"<p align='center'>\n",
" $(x,\\;y)=exp(-x^{2}-y^{2})$\n",
"</p>\n",
"<p align='center'>\n",
" $f(x,\\;y)=A\\;exp(-(\\frac{(x-x_{0})^{2}}{2\\sigma_{X}^{2}}\\;+\\;\\frac{(y-y_{0})^{2}}{2\\sigma_{Y}^{2}}))$\n",
"</p>\n",
"\n",
"where:\n",
"- A is amplitudo\n",
"- $x_{0}$ and $y_{0}$ are the centre\n",
"- $\\sigma_{x}$ and $\\sigma_{y}$ are the X and Y spreads of the blob.\n",
"\n",
"## Function arguments\n",
"This script requires the following function arguments:\n",
"- `X, Y`: are the meshgrid coordinates.\n",
"- `Z`: is function value at `X, Y`.\n",
"- `fig.add_subplot(111)`: is to set up a 3D subplot with 1 row, 1 column, and first subplot.\n",
"- `projection='3d'`: is matplotlib to make a 3D axis.\n",
"\n",
"This python script demonstrates the Gaussian distribution function, also known as the normal distribution. "
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "7a4948dc-db3b-459f-bf83-c76a2eef56b1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"\n",
"# Define grid\n",
"x = y = np.linspace(0, 1, 40)\n",
"X, Y = np.meshgrid(x, y)\n",
"\n",
"# Gaussian parameters\n",
"x0 = y0 = 0.5\n",
"sig_X, sig_Y = 0.2, 0.4\n",
"\n",
"# Gaussian function\n",
"f = np.exp(-(X-x0)**2/sig_X**2 - (Y-y0)**2/sig_Y**2)\n",
"\n",
"# Create 3D plot\n",
"fig = plt.figure(figsize=(7, 5))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"# Plot surface \n",
"surf = ax.plot_surface(X, Y, f, cmap=cm.twilight, edgecolor = 'none')\n",
"\n",
"# Add label\n",
"ax.set_xlabel('X position [a.u.]')\n",
"ax.set_ylabel('Y position [a.u.]')\n",
"ax.set_title('2D Gaussian Surface', fontsize=14)\n",
"ax.grid(True, alpha=0.6)\n",
"\n",
"# Add color bar\n",
"cbar= fig.colorbar(surf, shrink=0.5, aspect=10)\n",
"cbar.set_label('Amplitudo [a.u.]')\n",
"plt.savefig('2D Gaussian surface.svg', bbox_inches='tight')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a1912f6f-837f-4c72-95ed-6a72cd87f47d",
"metadata": {},
"outputs": [],
"source": []
}
],
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