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Megan FWHM
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "c0d7bfe8", | |
"metadata": {}, | |
"source": [ | |
"# Finding FWHM from a dataset in Python" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "9feb4f70", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"from scipy.stats import gaussian_kde\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "8d8ca2ec", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%config InlineBackend.figure_format = 'retina'\n", | |
"%matplotlib inline\n", | |
"\n", | |
"plt.rc('font', family='serif')\n", | |
"plt.rcParams['text.usetex'] = False\n", | |
"fs = 24\n", | |
"\n", | |
"# update various fontsizes to match\n", | |
"params = {'figure.figsize': (12, 8),\n", | |
" 'legend.fontsize': fs,\n", | |
" 'axes.labelsize': fs,\n", | |
" 'xtick.labelsize': 0.9 * fs,\n", | |
" 'ytick.labelsize': 0.9 * fs,\n", | |
" 'axes.linewidth': 1.1,\n", | |
" 'xtick.major.size': 7,\n", | |
" 'xtick.minor.size': 4,\n", | |
" 'ytick.major.size': 7,\n", | |
" 'ytick.minor.size': 4}\n", | |
"plt.rcParams.update(params)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "faa67ad2", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"class MirroredKDE(gaussian_kde):\n", | |
" \"\"\" KDE class that mirrors data at boundaries to account for bounded support \"\"\"\n", | |
"\n", | |
" def __init__(self, data, weights=None, lower_bound=None, upper_bound=None,\n", | |
" bw_method=None, bw_adjust=None):\n", | |
" \"\"\" instantiate class in similar way to scipy but with some additions \"\"\"\n", | |
" super().__init__(data, weights=weights, bw_method=bw_method)\n", | |
"\n", | |
" # also store the lower and upper bounds\n", | |
" self._lower_bound = lower_bound\n", | |
" self._upper_bound = upper_bound\n", | |
"\n", | |
" # allow adjustment of the default bandwidth similar to seaborn\n", | |
" if bw_adjust is not None:\n", | |
" self.set_bandwidth(self.factor * bw_adjust)\n", | |
"\n", | |
" def evaluate(self, x_vals=None, x_min=None, x_max=None, x_count=200):\n", | |
" \"\"\" evaluate the kde taking into account the boundaries \"\"\"\n", | |
"\n", | |
" # only return x_vals when they aren't supplied\n", | |
" return_x_vals = x_vals is None\n", | |
"\n", | |
" if x_vals is None:\n", | |
" if x_min is None:\n", | |
" x_min = np.min(self.dataset)\n", | |
" if x_max is None:\n", | |
" x_max = np.max(self.dataset)\n", | |
" x_vals = np.linspace(x_min, x_max, x_count)\n", | |
"\n", | |
" # make a copy of the data before I mirror anything\n", | |
" unmirrored_x_vals = np.copy(x_vals)\n", | |
"\n", | |
" # evaluate the kde at the original x values\n", | |
" kde_vals = super().evaluate(x_vals)\n", | |
"\n", | |
" # if either bound is present then mirror the data and\n", | |
" # add the evaluated kde for the mirrored data to the original\n", | |
" if self._lower_bound is not None:\n", | |
" x_vals = 2.0 * self._lower_bound - x_vals\n", | |
" kde_vals += super().evaluate(x_vals)\n", | |
" x_vals = unmirrored_x_vals\n", | |
"\n", | |
" if self._upper_bound is not None:\n", | |
" x_vals = 2.0 * self._upper_bound - x_vals\n", | |
" kde_vals += super().evaluate(x_vals)\n", | |
" x_vals = unmirrored_x_vals\n", | |
"\n", | |
" if return_x_vals:\n", | |
" return x_vals, kde_vals\n", | |
" else:\n", | |
" return kde_vals" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "2272a2f9", | |
"metadata": {}, | |
"source": [ | |
"# Gaussian example\n", | |
"\n", | |
"[By definition](https://en.wikipedia.org/wiki/Full_width_at_half_maximum) a Gaussian should have a FWHM of around 2.355 sigma, so you can see this small random dataset gets pretty close to this." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "a5428029", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"2.3626230328684565\n" | |
] | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 480, | |
"width": 742 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# create some random data\n", | |
"random_data = np.random.normal(size=10000)\n", | |
"\n", | |
"# create a KDE (kernel density estimator) from the data\n", | |
"kde = MirroredKDE(data=random_data)\n", | |
"\n", | |
"# make a list of x values and evaluate the KDE function at them\n", | |
"# bigger number here = slower but higher resolution of FWHM\n", | |
"x_vals, y_vals = kde.evaluate(x_count=10000)\n", | |
"\n", | |
"# find half maximum and its position\n", | |
"half_max = y_vals.max() / 2\n", | |
"half_max_x_pos = y_vals.argmax()\n", | |
"\n", | |
"# calculate left and right side (may be asymmetric)\n", | |
"left = (np.abs(y_vals[:half_max_x_pos] - half_max)).argmin()\n", | |
"right = (np.abs(y_vals[half_max_x_pos:] - half_max)).argmin() + half_max_x_pos\n", | |
"\n", | |
"# FWMH calc\n", | |
"FWHM = x_vals[right] - x_vals[left]\n", | |
"\n", | |
"print(FWHM)\n", | |
"\n", | |
"# plotting it out\n", | |
"plt.hist(random_data, bins=\"fd\", density=True, alpha=0.2)\n", | |
"plt.plot(x_vals, y_vals, color=\"tab:blue\")\n", | |
"plt.plot([x_vals[left], x_vals[right]], [half_max, half_max], lw=2)\n", | |
"plt.annotate(f\"FWHM = {FWHM:1.2f}\", xy=(x_vals[left] + FWHM/2, half_max * 1.02),\n", | |
" ha=\"center\", va=\"bottom\", fontsize=0.6*fs)\n", | |
"\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "75d06089", | |
"metadata": {}, | |
"source": [ | |
"# Bounded data example\n", | |
"\n", | |
"This is exactly the same as the thing above but now from a power law which is bounded between 0 and 1. KDEs have issues with bounded data - but I have a solution :D\n", | |
"\n", | |
"See below for the problem, it messes up near the boundary." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "685f55e0", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0.5229519863529543\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 480, | |
"width": 742 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"random_data = np.random.power(a=2, size=10000)\n", | |
"\n", | |
"kde = MirroredKDE(data=random_data)\n", | |
"x_vals, y_vals = kde.evaluate(x_count=10000)\n", | |
"\n", | |
"half_max = y_vals.max() / 2\n", | |
"half_max_x_pos = y_vals.argmax()\n", | |
"left = (np.abs(y_vals[:half_max_x_pos] - half_max)).argmin()\n", | |
"right = (np.abs(y_vals[half_max_x_pos:] - half_max)).argmin() + half_max_x_pos\n", | |
"FWHM = x_vals[right] - x_vals[left]\n", | |
"\n", | |
"print(FWHM)\n", | |
"\n", | |
"plt.hist(random_data, bins=\"fd\", density=True, alpha=0.2)\n", | |
"plt.plot(x_vals, y_vals, color=\"tab:blue\")\n", | |
"plt.plot([x_vals[left], x_vals[right]], [half_max, half_max], lw=2)\n", | |
"plt.annotate(f\"FWHM = {FWHM:1.2f}\", xy=(x_vals[left] + FWHM/2, half_max * 1.02),\n", | |
" ha=\"center\", va=\"bottom\", fontsize=0.6*fs)\n", | |
"\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "5267e96f", | |
"metadata": {}, | |
"source": [ | |
"Here is the same thing as before but now you tell the `MirroredKDE` class where your bounds are and it fixes the issue." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "c24fabd2", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0.503659949965757\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 480, | |
"width": 742 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# HERE IS THE CHANGE: set bounds in the KDE\n", | |
"kde = MirroredKDE(data=random_data, lower_bound=0.0, upper_bound=1.0)\n", | |
"x_vals, y_vals = kde.evaluate(x_count=10000)\n", | |
"\n", | |
"half_max = y_vals.max() / 2\n", | |
"half_max_x_pos = y_vals.argmax()\n", | |
"left = (np.abs(y_vals[:half_max_x_pos] - half_max)).argmin()\n", | |
"right = (np.abs(y_vals[half_max_x_pos:] - half_max)).argmin() + half_max_x_pos\n", | |
"FWHM = x_vals[right] - x_vals[left]\n", | |
"\n", | |
"print(FWHM)\n", | |
"\n", | |
"plt.hist(random_data, bins=\"fd\", density=True, alpha=0.2)\n", | |
"plt.plot(x_vals, y_vals, color=\"tab:blue\")\n", | |
"plt.plot([x_vals[left], x_vals[right]], [half_max, half_max], lw=2)\n", | |
"plt.annotate(f\"FWHM = {FWHM:1.2f}\", xy=(x_vals[left] + FWHM/2, half_max * 1.02),\n", | |
" ha=\"center\", va=\"bottom\", fontsize=0.6*fs)\n", | |
"\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "d5b121ee", | |
"metadata": {}, | |
"source": [ | |
"Tada! And it affects the FWHM so definitely important to keep in mind." | |
] | |
} | |
], | |
"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": "3.9.12" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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