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@rkern
Last active April 3, 2022 04:08
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Notebook comparing MLE-fitting of histograms with ad hoc curve-fitting of histograms
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from collections import defaultdict\n",
"from functools import partial\n",
"\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"from scipy import optimize, special, stats\n",
"\n",
"\n",
"plt.rcParams['figure.dpi'] = 200\n",
"\n",
"\n",
"def mle_loss(params, counts, edges):\n",
" \"\"\" Loss function for MLE-fitting a Gaussian distribution to a histogram.\n",
" \"\"\"\n",
" dist = stats.norm(loc=params[0], scale=np.exp(params[1]))\n",
" cdf_edges = dist.cdf(edges)\n",
" p = np.diff(cdf_edges)\n",
" nllh = -special.xlogy(counts, p).sum()\n",
" return nllh\n",
"\n",
"\n",
"def curve_fit_data(counts, edges):\n",
" \"\"\" Convert a histogram into (x, y, sigma) triples that can be fitted with a\n",
" least-squares curve-fitting routine.\n",
" \"\"\"\n",
" xdata = (edges[:-1] + edges[1:]) * 0.5\n",
" ydata = counts\n",
" # Rough estimate of the standard deviation of the implied Poisson error model.\n",
" sigma = np.sqrt(counts)\n",
" \n",
" # Omit the empty bins. Mostly a hack, but empirically works reasonably well \n",
" # for the Gaussian example.\n",
" nonzero = counts > 0\n",
" xdata = xdata[nonzero]\n",
" ydata = ydata[nonzero]\n",
" sigma = sigma[nonzero]\n",
"\n",
" return xdata, ydata, sigma\n",
"\n",
"\n",
"def gaussian(x, loc, log_scale, N, bin_width):\n",
" \"\"\" A Gaussian PDF function, scaled to match a histogram with N samples and a given uniform bin width.\n",
" \"\"\"\n",
" scale = np.exp(log_scale)\n",
" # Note that to construct this correctly, I still need the bin width(s)!\n",
" y = stats.norm.pdf(x, loc=loc, scale=scale) * N * bin_width\n",
" return y\n",
"\n",
"\n",
"class HistFitComparison(object):\n",
" def __init__(self, N=100, bins='auto', hist_range=None, true_loc=0.0, true_scale=1.0, guess=None, rng=None):\n",
" self.rng = np.random.default_rng(rng)\n",
" self.N = N\n",
" self.bins = bins\n",
" self.hist_range = hist_range\n",
" self.true_loc = true_loc\n",
" self.true_scale = true_scale\n",
" if guess is None:\n",
" guess = [true_loc, np.log(true_scale)]\n",
" self.guess = guess\n",
" \n",
" self.compute_data()\n",
" self.compute_histogram()\n",
" self.fit_mle()\n",
" self.fit_curve_fit()\n",
" \n",
" def compute_data(self):\n",
" data = self.rng.standard_normal(self.N)\n",
" # Ensure 0 mean and 1 stdev of the *sampled data*, just to make things easy to evaluate.\n",
" data -= data.mean()\n",
" data *= self.true_scale * data.std()\n",
" data += self.true_loc\n",
" self.data = data\n",
" self.true_dist = stats.norm(loc=self.true_loc, scale=self.true_scale)\n",
" \n",
" def compute_histogram(self):\n",
" self.counts, self.edges = np.histogram(self.data, range=self.hist_range, bins=self.bins)\n",
" self.bin_centers = 0.5 * (self.edges[:-1] + self.edges[1:])\n",
" self.bin_widths = np.diff(self.edges)\n",
"\n",
" def fit_mle(self):\n",
" self.mle_res = optimize.minimize(mle_loss, self.guess, args=(self.counts, self.edges))\n",
" self.mle_loc = self.mle_res.x[0]\n",
" self.mle_scale = np.exp(self.mle_res.x[1])\n",
" self.mle_dist = stats.norm(loc=self.mle_loc, scale=self.mle_scale)\n",
" \n",
" def fit_curve_fit(self):\n",
" xdata, ydata, sigma = curve_fit_data(self.counts, self.edges)\n",
" func = partial(gaussian, N=self.N, bin_width=self.bin_widths[0])\n",
" self.cf_res = optimize.curve_fit(func, xdata, ydata, sigma=sigma, p0=self.guess)\n",
" self.cf_loc = self.cf_res[0][0]\n",
" self.cf_scale = np.exp(self.cf_res[0][1])\n",
" self.cf_dist = stats.norm(loc=self.cf_loc, scale=self.cf_scale)\n",
"\n",
" def plot_fits(self, ax=None, legend=True):\n",
" if ax is None:\n",
" _, ax = plt.subplots()\n",
" ax.hist(self.data, range=self.hist_range, bins=self.bins, density=True)\n",
" x = np.linspace(self.edges[0], self.edges[-1], 500)\n",
" ax.plot(x, self.true_dist.pdf(x),\n",
" label=f'True:\\n$\\\\mu={self.true_loc:.4f}, \\\\sigma={self.true_scale:.4f}$')\n",
" ax.plot(x, self.mle_dist.pdf(x),\n",
" label=f'MLE:\\n$\\\\mu={self.mle_loc:.4f}, \\\\sigma={self.mle_scale:.4f}$')\n",
" ax.plot(x, self.cf_dist.pdf(x),\n",
" label=f'curve_fit:\\n$\\\\mu={self.cf_loc:.4f}, \\\\sigma={self.cf_scale:.4f}$')\n",
" if legend:\n",
" ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Show One Pair of Fits\n",
"\n",
"Simple job: 100 samples from the standard normal distribution $ N(0, 1) $ using the `auto` bin width selection.\n",
"\n",
"Both fits do okay at recovering the true values, but the MLE fit tends to track closer."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1200x800 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.default_rng(0x86aad4427dbff7c073719a8b5f627ca2)\n",
"\n",
"hfc = HistFitComparison(N=100, bins='auto', rng=rng)\n",
"hfc.plot_fits()"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"## Long-run Frequency Behavior of Estimates\n",
"\n",
"Let's repeat the sampling and fitting 100 times to compare how variable the estimates of each method are.\n",
"\n",
"The `loc` estimate appears to be much more variable with the curve-fitting method than the MLE method.\n",
"The `scale` estimate variability is fairly comparable between the two approaches, likely caused by the information loss from the binning process common to both more than anything.\n",
"\n",
"Increasing the number of samples `N` tends to bring the curve-fitting variability down.\n",
"Increasing the number of bins tends to make the curve-fitting behavior worse.\n",
"\n",
"The initial guess for each of the fitting methods is the \"true\" parameters for the underlying distribution before histogramming.\n",
"This gives each method the best chance to converge to the best numerical result for the histogrammed data.\n",
"The variation in results, therefore, represent the best performance of each method.\n",
"Deviations from the true parameters should represent the information lost by the histogramming process and the further assumptions of each method."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/rkern/.edm/envs/py36/lib/python3.6/site-packages/scipy/optimize/optimize.py:697: RuntimeWarning: invalid value encountered in double_scalars\n",
" df = (f(*((xk + d,) + args)) - f0) / d[k]\n"
]
}
],
"source": [
"rng = np.random.default_rng(0x301e8713342ef0a90fc41b8a9136d0f6)\n",
"\n",
"hfcs = []\n",
"fit_data = defaultdict(list)\n",
"for i in range(100):\n",
" the_hfc = HistFitComparison(N=100, bins='auto', rng=rng)\n",
" hfcs.append(the_hfc)\n",
" for name in ('mle_loc', 'mle_scale', 'cf_loc', 'cf_scale'):\n",
" fit_data[name].append(getattr(the_hfc, name))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"for name in list(fit_data):\n",
" fit_data[name] = np.array(fit_data[name])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1200x800 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2)\n",
"true_loc = hfcs[0].true_loc\n",
"true_scale = hfcs[0].true_scale\n",
"\n",
"loc_window = 0.4\n",
"scale_factor = 2.0\n",
"\n",
"ax[0].plot(fit_data['mle_loc'], fit_data['cf_loc'], 'k.')\n",
"ax[0].plot([true_loc], [true_loc], 'r.')\n",
"ax[0].set_xlim(true_loc-loc_window, true_loc+loc_window)\n",
"ax[0].set_ylim(true_loc-loc_window, true_loc+loc_window)\n",
"ticks = ax[0].get_xticks()\n",
"ax[0].set_xticks(ticks)\n",
"ax[0].set_yticks(ticks)\n",
"ax[0].set_aspect(1.0)\n",
"ax[0].set_xlabel('MLE $\\\\mu$')\n",
"ax[0].set_ylabel('CF $\\\\mu$')\n",
"\n",
"ax[1].plot(fit_data['mle_scale'], fit_data['cf_scale'], 'k.')\n",
"ax[1].plot([true_scale], [true_scale], 'r.')\n",
"ax[1].set_xlim(true_scale / scale_factor, true_scale * scale_factor)\n",
"ax[1].set_ylim(true_scale / scale_factor, true_scale * scale_factor)\n",
"ticks = ax[1].get_xticks()\n",
"ax[1].set_xticks(ticks)\n",
"ax[1].set_yticks(ticks)\n",
"ax[1].set_aspect(1.0)\n",
"ax[1].set_xlabel('MLE $\\\\sigma$')\n",
"ax[1].set_ylabel('CF $\\\\sigma$')\n",
"\n",
"fig.set_tight_layout(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Numerical Robustness of Fitting Methods\n",
"\n",
"Perform a similar task, only with initial guesses that are not the \"true\" answer.\n",
"When we perform a fitting task for real, we do not know the true answer and are giving reasonable guesses for the initial parameter vectors.\n",
"Here, we will start with a guess that is a little off from the true answer (but not unreasonably so).\n",
"\n",
"Any variability above what we saw before ought to be attributable to the numerical stability issues from each method.\n",
"\n",
"We can see that the MLE method always converges to similar answers as before.\n",
"Meanwhile, the curve-fitting method successfully converges to similar answers most of the time, but fails in a few instances."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/rkern/.edm/envs/py36/lib/python3.6/site-packages/scipy/optimize/optimize.py:697: RuntimeWarning: invalid value encountered in double_scalars\n",
" df = (f(*((xk + d,) + args)) - f0) / d[k]\n"
]
}
],
"source": [
"# Use the same seed as before to make comparisons, if we want.\n",
"rng = np.random.default_rng(0x301e8713342ef0a90fc41b8a9136d0f6)\n",
"\n",
"hfcs2 = []\n",
"fit_data2 = defaultdict(list)\n",
"for i in range(100):\n",
" the_hfc = HistFitComparison(N=100, bins='auto', guess=[1.0, 1.0], rng=rng)\n",
" hfcs2.append(the_hfc)\n",
" for name in ('mle_loc', 'mle_scale', 'cf_loc', 'cf_scale'):\n",
" fit_data2[name].append(getattr(the_hfc, name))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"for name in list(fit_data2):\n",
" fit_data2[name] = np.array(fit_data2[name])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1200x800 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2)\n",
"true_loc = hfcs2[0].true_loc\n",
"true_scale = hfcs2[0].true_scale\n",
"\n",
"loc_window = 5.0\n",
"scale_factor = 8.0\n",
"\n",
"ax[0].plot(fit_data2['mle_loc'], fit_data2['cf_loc'], 'k.')\n",
"ax[0].plot([true_loc], [true_loc], 'r.')\n",
"ax[0].set_xlim(true_loc-loc_window, true_loc+loc_window)\n",
"ax[0].set_ylim(true_loc-loc_window, true_loc+loc_window)\n",
"ticks = ax[0].get_xticks()\n",
"ax[0].set_xticks(ticks)\n",
"ax[0].set_yticks(ticks)\n",
"ax[0].set_aspect(1.0)\n",
"ax[0].set_xlabel('MLE $\\\\mu$')\n",
"ax[0].set_ylabel('CF $\\\\mu$')\n",
"\n",
"ax[1].plot(fit_data2['mle_scale'], fit_data2['cf_scale'], 'k.')\n",
"ax[1].plot([true_scale], [true_scale], 'r.')\n",
"ax[1].set_xlim(true_scale / scale_factor, true_scale * scale_factor)\n",
"ax[1].set_ylim(true_scale / scale_factor, true_scale * scale_factor)\n",
"ticks = ax[1].get_xticks()\n",
"ax[1].set_xticks(ticks)\n",
"ax[1].set_yticks(ticks)\n",
"ax[1].set_aspect(1.0)\n",
"ax[1].set_xlabel('MLE $\\\\sigma$')\n",
"ax[1].set_ylabel('CF $\\\\sigma$')\n",
"\n",
"fig.set_tight_layout(True)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x800 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, 2)\n",
"\n",
"for i, fit_type in enumerate(['mle', 'cf']):\n",
" for j, var in enumerate(['loc', 'scale']):\n",
" ax[i, j].plot(fit_data[f'{fit_type}_{var}'], fit_data2[f'{fit_type}_{var}'], 'k.')\n",
" ax[i, j].set_xlabel('Best Guess')\n",
" ax[i, j].set_ylabel('Worse Guess')\n",
" ax[i, j].set_title(f'{fit_type}_{var}')\n",
"\n",
"fig.set_tight_layout(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bin Resolution\n",
"\n",
"Increasing the number of bins for the same data makes the curve-fitting results jump around a fair bit.\n",
"The MLE estimates remain fairly stable regardless of how fine the bins are.\n",
"When using the curve-fitting method, it pays to have broad-enough bins to make the absolute counts high enough to be reliable.\n",
"When using the MLE method, it has a wide window of applicability.\n",
"\n",
"Personally, I want finer bins in my histograms to help me see anomalies and measurement artifacts.\n",
"Decoupling fitting concerns from visualization concerns helps me achieve both without compromise."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x800 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 200\n",
"\n",
"n_bins = [10, 20, 50, 100]\n",
"fig, ax = plt.subplots(1, len(n_bins), sharex=True, sharey=True)\n",
"\n",
"for i, bins in enumerate(n_bins):\n",
" # Use the same data for each one.\n",
" hfc = HistFitComparison(N=N, bins=bins, rng=0xd9abd7451e44d3d07103487f2ef63e23)\n",
" hfc.plot_fits(ax=ax[i], legend=False)\n",
" ax[i].set_title(f'bins = {bins}')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.13"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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