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@mheilman
Last active February 8, 2019 22:38
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Predicting how cold it gets in Chicago with TensorFlow and open government data\n",
"\n",
"This notebook provides some code related to [this blog post](https://medium.com/civis-analytics/how-often-does-it-get-this-cold-in-chicago-de8bde5655bd) of the same title.\n",
"\n",
"The post talks about an interesting statistical distribution, [the Gumbel distribution](https://en.wikipedia.org/wiki/Gumbel_distribution), and how to use TensorFlow and SciPy to fit that distribution on historical weather data provided by the government.\n",
"\n",
"The data file used below (`chicago-mdw-noaa-data.csv`) is available in [this gist](https://gist.github.com/mheilman/175a0f1c463f5c245df3c53227562b23).",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Import various packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import tensorflow as tf # 1.12.0\n",
"import numpy as np # 1.14.3\n",
"import pandas as pd # 0.23.4\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Gumbel Distribution reference"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Gumbel has two parameters, $\\mu$ and $\\beta$.\n",
"\n",
"Let $z = \\frac{x - \\mu}{\\beta}$.\n",
"\n",
"PDF: $\\frac{1}{\\beta} \\textrm{exp}({-(z+\\textrm{exp}(-z))})$\n",
"\n",
"CDF: $\\textrm{exp}({-\\textrm{exp}(-z)})$\n",
"\n",
"For more details, see https://en.wikipedia.org/wiki/Gumbel_distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load the data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>STATION</th>\n",
" <th>NAME</th>\n",
" <th>DATE</th>\n",
" <th>SNOW</th>\n",
" <th>TMAX</th>\n",
" <th>TMIN</th>\n",
" <th>YEAR</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>85</th>\n",
" <td>USC00111577</td>\n",
" <td>CHICAGO MIDWAY AIRPORT 3 SW, IL US</td>\n",
" <td>1929-01-01</td>\n",
" <td>4.1</td>\n",
" <td>33.0</td>\n",
" <td>3.0</td>\n",
" <td>1929</td>\n",
" </tr>\n",
" <tr>\n",
" <th>86</th>\n",
" <td>USC00111577</td>\n",
" <td>CHICAGO MIDWAY AIRPORT 3 SW, IL US</td>\n",
" <td>1929-01-02</td>\n",
" <td>0.0</td>\n",
" <td>18.0</td>\n",
" <td>-3.0</td>\n",
" <td>1929</td>\n",
" </tr>\n",
" <tr>\n",
" <th>87</th>\n",
" <td>USC00111577</td>\n",
" <td>CHICAGO MIDWAY AIRPORT 3 SW, IL US</td>\n",
" <td>1929-01-03</td>\n",
" <td>0.2</td>\n",
" <td>27.0</td>\n",
" <td>9.0</td>\n",
" <td>1929</td>\n",
" </tr>\n",
" <tr>\n",
" <th>88</th>\n",
" <td>USC00111577</td>\n",
" <td>CHICAGO MIDWAY AIRPORT 3 SW, IL US</td>\n",
" <td>1929-01-04</td>\n",
" <td>1.8</td>\n",
" <td>31.0</td>\n",
" <td>0.0</td>\n",
" <td>1929</td>\n",
" </tr>\n",
" <tr>\n",
" <th>89</th>\n",
" <td>USC00111577</td>\n",
" <td>CHICAGO MIDWAY AIRPORT 3 SW, IL US</td>\n",
" <td>1929-01-05</td>\n",
" <td>0.2</td>\n",
" <td>38.0</td>\n",
" <td>22.0</td>\n",
" <td>1929</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" STATION NAME DATE SNOW TMAX \\\n",
"85 USC00111577 CHICAGO MIDWAY AIRPORT 3 SW, IL US 1929-01-01 4.1 33.0 \n",
"86 USC00111577 CHICAGO MIDWAY AIRPORT 3 SW, IL US 1929-01-02 0.0 18.0 \n",
"87 USC00111577 CHICAGO MIDWAY AIRPORT 3 SW, IL US 1929-01-03 0.2 27.0 \n",
"88 USC00111577 CHICAGO MIDWAY AIRPORT 3 SW, IL US 1929-01-04 1.8 31.0 \n",
"89 USC00111577 CHICAGO MIDWAY AIRPORT 3 SW, IL US 1929-01-05 0.2 38.0 \n",
"\n",
" TMIN YEAR \n",
"85 3.0 1929 \n",
"86 -3.0 1929 \n",
"87 9.0 1929 \n",
"88 0.0 1929 \n",
"89 22.0 1929 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Load data acquired from https://www.ncdc.noaa.gov/cdo-web/search\n",
"# Specifically, station GHCND:USC00111577:\n",
"# https://www.ncdc.noaa.gov/cdo-web/datasets/GHCND/stations/GHCND:USC00111577/detail\n",
"# I believe this NOAA data is in the public domain as indicated here:\n",
"# https://www.nodc.noaa.gov/about/disclaimer.html\n",
"# See the GitHub gist link at the top of the notebook for a copy of this data.\n",
"df = pd.read_csv('chicago-mdw-noaa-data.csv')\n",
"df['YEAR'] = df['DATE'].map(lambda x: int(x[:4]))\n",
"\n",
"# Only include data from the years for which the full year is available in the CSV.\n",
"df = df[(df['YEAR'] > 1928) & (df['YEAR'] < 2018)]\n",
"\n",
"# Show some example rows.\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-13., -19., 2., -12., -20., -8., -9., -19., -2., -2., 0.,\n",
" -15., -6., -14., -13., -7., -8., -3., -2., -10., -4., -10.,\n",
" -15., -3., 0., -7., -10., 2., -7., -8., -10., -14., -3.,\n",
" -12., -18., 2., -9., -16., -10., -11., -10., -12., -9., -15.,\n",
" -2., -9., -6., -11., -19., -8., -19., -6., -10., -22., -20.,\n",
" -17., -25., -4., -4., -12., -13., -5., -1., -7., -3., -20.,\n",
" -2., -17., -8., 2., -15., -7., 0., -4., -3., -6., 0.,\n",
" -6., -9., -5., -18., 0., -6., 6., -3., -15., -7., -6.,\n",
" -3.])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"min_annual_temperatures = df[['YEAR', 'TMIN']].groupby('YEAR').agg(min)['TMIN'].values\n",
"min_annual_temperatures"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 92., 99., 101., 91., 102., 107., 91., 98., 99., 94., 93.,\n",
" 94., 97., 100., 97., 100., 99., 100., 101., 98., 102., 93.,\n",
" 92., 101., 104., 100., 100., 103., 96., 94., 96., 100., 95.,\n",
" 96., 99., 98., 94., 98., 93., 96., 96., 99., 101., 96.,\n",
" 97., 99., 94., 100., 99., 95., 92., 99., 95., 95., 100.,\n",
" 98., 97., 97., 99., 104., 101., 100., 102., 93., 95., 96.,\n",
" 106., 94., 99., 97., 104., 94., 97., 98., 97., 92., 104.,\n",
" 99., 94., 95., 93., 95., 101., 105., 97., 93., 95., 94.,\n",
" 95.])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max_annual_temperatures = df[['YEAR', 'TMAX']].groupby('YEAR').agg(max)['TMAX'].values\n",
"max_annual_temperatures"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 8.3, 16.5, 10.1, 7.6, 11. , 6. , 3.7, 4.6, 2.5, 8. , 13.1,\n",
" 3.2, 6.9, 5.4, 5.3, 9. , 4.9, 3.7, 4.7, 4.4, 4.1, 5.6,\n",
" 10. , 4. , 5.4, 11.5, 2.8, 8.3, 5.8, 5.6, 7.2, 11. , 10.2,\n",
" 6.3, 8.8, 7.1, 6.5, 4.2, 16.4, 3.8, 9.6, 8.9, 7.1, 6.5,\n",
" 8.3, 4.7, 9.4, 4.8, 6.9, 9.3, 16.5, 6. , 8.2, 9.8, 6.3,\n",
" 4.6, 5.7, 5.1, 8.6, 6.6, 3.7, 7.7, 5.9, 3.9, 4.6, 7.2,\n",
" 4.3, 5.3, 5.8, 10.9, 17.6, 14.5, 5.4, 8.2, 3.7, 6.1, 10.2,\n",
" 3.6, 9.7, 4.8, 5.2, 8.8, 11.9, 7.3, 9.4, 6.8, 17.2, 5.5,\n",
" 6.3])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max_snow = df[['YEAR', 'SNOW']].groupby('YEAR').agg(max)['SNOW'].values\n",
"max_snow"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the Gumbel parameters to the data."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def fit_gumbel(x):\n",
" \"\"\"Fit parameters for the Gumbel Distribution.\n",
" \n",
" There might be a closed form (?), but this illustrates use of\n",
" TensorFlow and SciPy for fitting a simple model.\n",
" \n",
" Note: for the blog post, I used scipy.optimize.fmin_l_bfgs_b\n",
" directly and reduce_mean instead of reduce_sum for the NLL,\n",
" so there are slight differences because of the vagaries of\n",
" computers and numerical optimization.\n",
" \n",
" Parameters\n",
" ----------\n",
" x : array_like\n",
" 1-d array of values to fit parameters with\n",
" \n",
" Returns\n",
" -------\n",
" float\n",
" fitted mu value\n",
" float\n",
" fitted beta value\n",
" \"\"\"\n",
" # Define a graph for the log likelihood of the Gumbel parameters given the data.\n",
" graph = tf.Graph()\n",
" with graph.as_default():\n",
" x_ph = tf.constant(x)\n",
" # Initialize to some halfway reasonable values.\n",
" mu = tf.Variable(np.mean(x))\n",
" beta = tf.Variable(np.std(x))\n",
" z = (x_ph - mu) / beta\n",
" loglik = -(z + tf.exp(-z)) - tf.log(beta)\n",
" nll = -tf.reduce_sum(loglik)\n",
" optimizer = tf.contrib.opt.ScipyOptimizerInterface(nll, options={'maxiter': 100})\n",
" \n",
" with tf.Session(graph=graph) as sess:\n",
" tf.global_variables_initializer().run()\n",
" optimizer.minimize(sess)\n",
" mu_fit, beta_fit = sess.run([mu, beta])\n",
" \n",
" return mu_fit, beta_fit"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO:tensorflow:Optimization terminated with:\n",
" Message: b'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
" Objective function value: 293.956712\n",
" Number of iterations: 8\n",
" Number of functions evaluations: 9\n"
]
},
{
"data": {
"text/plain": [
"(5.4339564526585, 5.823707278293847)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Negate the minimum values here since the Gumbel function expects maxima.\n",
"# Note that the later p_min_temp_at_least_as_low function also negates its input.\n",
"mu_mintemp, beta_mintemp = fit_gumbel(-min_annual_temperatures)\n",
"mu_mintemp, beta_mintemp"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO:tensorflow:Optimization terminated with:\n",
" Message: b'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
" Objective function value: 239.765933\n",
" Number of iterations: 8\n",
" Number of functions evaluations: 10\n"
]
},
{
"data": {
"text/plain": [
"(95.79562804453504, 3.1262446972226976)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mu_maxtemp, beta_maxtemp = fit_gumbel(max_annual_temperatures)\n",
"mu_maxtemp, beta_maxtemp"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO:tensorflow:Optimization terminated with:\n",
" Message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
" Objective function value: 221.364672\n",
" Number of iterations: 7\n",
" Number of functions evaluations: 9\n"
]
},
{
"data": {
"text/plain": [
"(5.923084634393606, 2.397960161568479)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mu_maxsnow, beta_maxsnow = fit_gumbel(max_snow)\n",
"mu_maxsnow, beta_maxsnow"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Define some convenience functions to query the model."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pr. annual min. temp. below -10 degrees F: 0.367\n",
"Pr. annual min. temp. below -20 degrees F: 0.079\n",
"Pr. annual min. temp. below -25 degrees F: 0.034\n",
"Pr. annual min. temp. below -30 degrees F: 0.015\n",
"Pr. annual min. temp. below -40 degrees F: 0.003\n",
"\n",
"Pr. annual max. temp. above 90 degrees F: 0.998\n",
"Pr. annual max. temp. above 95 degrees F: 0.725\n",
"Pr. annual max. temp. above 100 degrees F: 0.229\n",
"Pr. annual max. temp. above 105 degrees F: 0.051\n",
"Pr. annual max. temp. above 110 degrees F: 0.011\n",
"\n",
"Pr. annual max. daily snowfall above 3 inches: 0.966\n",
"Pr. annual max. daily snowfall above 6 inches: 0.620\n",
"Pr. annual max. daily snowfall above 12 inches: 0.076\n",
"Pr. annual max. daily snowfall above 24 inches: 0.001\n",
"Pr. annual max. daily snowfall above 36 inches: 0.000\n"
]
}
],
"source": [
"def gumbel_cdf(x, mu, beta):\n",
" z = (x - mu) / beta\n",
" return np.exp(-np.exp(-z))\n",
"\n",
"\n",
"def p_min_temp_at_least_as_low(t):\n",
" return 1-gumbel_cdf(-t, mu_mintemp, beta_mintemp)\n",
"\n",
"\n",
"def p_max_temp_at_least_as_high(t):\n",
" return 1-gumbel_cdf(t, mu_maxtemp, beta_maxtemp)\n",
"\n",
"\n",
"def p_max_snow_at_least_as_high(t):\n",
" return 1-gumbel_cdf(t, mu_maxsnow, beta_maxsnow)\n",
"\n",
"\n",
"for t in [-10, -20, -25, -30, -40]:\n",
" print(f'Pr. annual min. temp. below {t} degrees F: {p_min_temp_at_least_as_low(t):.3f}')\n",
" \n",
"print()\n",
"for t in [90, 95, 100, 105, 110]:\n",
" print(f'Pr. annual max. temp. above {t} degrees F: {p_max_temp_at_least_as_high(t):.3f}')\n",
" \n",
"print()\n",
"for t in [3, 6, 12, 24, 36]:\n",
" print(f'Pr. annual max. daily snowfall above {t} inches: {p_max_snow_at_least_as_high(t):.3f}')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pr. annual min. temp <= -22:\n",
"fitted: 0.0565\n",
"empirical: 0.0225 (2/89)\n"
]
}
],
"source": [
"print(\"pr. annual min. temp <= -22:\")\n",
"print(f\"fitted: {p_min_temp_at_least_as_low(-22):.4f}\")\n",
"print(f\"empirical: {np.mean(min_annual_temperatures <= -22):.4f} ({sum(min_annual_temperatures <= -22)}/{len(min_annual_temperatures)})\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pr. annual min. temp <= -10:\n",
"fitted: 0.3665\n",
"empirical: 0.4157 (37/89)\n"
]
}
],
"source": [
"print(\"pr. annual min. temp <= -10:\")\n",
"print(f\"fitted: {p_min_temp_at_least_as_low(-10):.4f}\")\n",
"print(f\"empirical: {np.mean(min_annual_temperatures <= -10):.4f} ({sum(min_annual_temperatures <= -10)}/{len(min_annual_temperatures)})\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Make some plots of the data and the model predictions"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Hwp1oJ2zEFwDDC6TbinAyz8zvtgJpRhGCfZ6si5MofvdoU8LotJ/r4TbQn2xwzYF5wPsL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\npOZ577338sEHH7B27VquvvpqXn31Vc477zyGDBmCmfHll18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mIiJtm4puqeNuQgW2cuAE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\ndJMkSZIkSZJa9v93MEio0q2VwgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"temps = np.linspace(-40, 10, 1000)\n",
"fig = plt.figure(dpi=200)\n",
"ax = pd.DataFrame({\n",
" 'temperature': temps,\n",
" 'fitted': [p_min_temp_at_least_as_low(t) for t in temps],\n",
" 'empirical': [np.mean(min_annual_temperatures <= t) for t in temps]\n",
"}).set_index('temperature').plot(figsize=(6, 3), ax=plt.gca())\n",
"ax.set_ylabel('Probability')\n",
"ax.set_xlabel('Degrees Fahrenheit')\n",
"ax.set_title('Chances of an annual min. temp. in Chicago being below various values')\n",
"ax.grid(True, which='major', axis='y')\n",
"ax.set_yticks(np.linspace(0,1,11))\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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B625kzgaZ1MCY76uy/7PMjQsQVQDNJ53fb1wofBUlrSQrVd70Udb7AUWkoViV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\n6ujatSstLS3VTpJIp9S1a1fMjJaWlqL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mNt3MfmRmJem7Y2ZbmdmvzOwVM1sRLectM/u9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\n587V2LEdzZQFAAA4j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Nqa6hwRb6JkXoXeo+1Gy1DvLZRsxfd3q9jm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\nPvD/5KPTXAgcWKoAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"temps = np.linspace(70, 120, 1000)\n",
"fig = plt.figure(dpi=200)\n",
"ax = pd.DataFrame({\n",
" 'temperature': temps,\n",
" 'fitted': [p_max_temp_at_least_as_high(t) for t in temps],\n",
" 'empirical': [np.mean(max_annual_temperatures >= t) for t in temps]\n",
"}).set_index('temperature').plot(figsize=(6, 3), ax=plt.gca())\n",
"ax.set_ylabel('Probability')\n",
"ax.set_xlabel('Degrees Fahrenheit')\n",
"ax.set_title('Chances of an annual max. temp. in Chicago being above various values')\n",
"ax.grid(True, which='major', axis='y')\n",
"ax.set_yticks(np.linspace(0,1,11))\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oosTNpDuJTyVHZy2+HtE3ev18NBI4W9hWHh49CC2J1EUjw2/3DnXWOueWmdk9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\n",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xvals = np.linspace(0, 20, 1000)\n",
"fig = plt.figure(dpi=200)\n",
"ax = pd.DataFrame({\n",
" 'snowfall': xvals,\n",
" 'fitted': [p_max_snow_at_least_as_high(t) for t in xvals],\n",
" 'empirical': [np.mean(max_snow >= t) for t in xvals]\n",
"}).set_index('snowfall').plot(figsize=(6, 3), ax=plt.gca())\n",
"ax.set_ylabel('Probability')\n",
"ax.set_xlabel('Inches')\n",
"ax.set_title('Chances of an annual max. daily snowfall in Chicago being above various values')\n",
"ax.grid(True, which='major', axis='y')\n",
"ax.set_yticks(np.linspace(0,1,11))\n",
"\n",
"plt.show()"
]
}
],
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