How to create a density plot in matplotlib?
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Track title: Puzzle Game 5
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Chapters
00:00 How To Create A Density Plot In Matplotlib?
00:39 Answer 1 Score 53
00:57 Accepted Answer Score 149
02:10 Answer 3 Score 202
02:39 Answer 4 Score 73
02:59 Thank you
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Full question
https://stackoverflow.com/questions/4150...
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Content licensed under CC BY-SA
https://meta.stackexchange.com/help/lice...
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Tags
#python #r #numpy #matplotlib #scipy
#avk47
ANSWER 1
Score 202
Five years later, when I Google "how to create a kernel density plot using python", this thread still shows up at the top!
Today, a much easier way to do this is to use seaborn, a package that provides many convenient plotting functions and good style management.
import numpy as np
import seaborn as sns
data = [1.5]*7 + [2.5]*2 + [3.5]*8 + [4.5]*3 + [5.5]*1 + [6.5]*8
sns.set_style('whitegrid')
sns.kdeplot(np.array(data), bw=0.5)
ACCEPTED ANSWER
Score 149
Sven has shown how to use the class gaussian_kde from Scipy, but you will notice that it doesn't look quite like what you generated with R. This is because gaussian_kde tries to infer the bandwidth automatically. You can play with the bandwidth in a way by changing the function covariance_factor of the gaussian_kde class. First, here is what you get without changing that function:

However, if I use the following code:
import matplotlib.pyplot as plt
import numpy as np
from scipy.stats import gaussian_kde
data = [1.5]*7 + [2.5]*2 + [3.5]*8 + [4.5]*3 + [5.5]*1 + [6.5]*8
density = gaussian_kde(data)
xs = np.linspace(0,8,200)
density.covariance_factor = lambda : .25
density._compute_covariance()
plt.plot(xs,density(xs))
plt.show()
I get

which is pretty close to what you are getting from R. What have I done? gaussian_kde uses a changable function, covariance_factor to calculate its bandwidth. Before changing the function, the value returned by covariance_factor for this data was about .5. Lowering this lowered the bandwidth. I had to call _compute_covariance after changing that function so that all of the factors would be calculated correctly. It isn't an exact correspondence with the bw parameter from R, but hopefully it helps you get in the right direction.
ANSWER 3
Score 73
Option 1:
Use pandas dataframe plot (built on top of matplotlib):
import pandas as pd
data = [1.5]*7 + [2.5]*2 + [3.5]*8 + [4.5]*3 + [5.5]*1 + [6.5]*8
pd.DataFrame(data).plot(kind='density') # or pd.Series()
Option 2:
Use distplot of seaborn:
import seaborn as sns
data = [1.5]*7 + [2.5]*2 + [3.5]*8 + [4.5]*3 + [5.5]*1 + [6.5]*8
sns.distplot(data, hist=False)
ANSWER 4
Score 53
Maybe try something like:
import matplotlib.pyplot as plt
import numpy
from scipy import stats
data = [1.5]*7 + [2.5]*2 + [3.5]*8 + [4.5]*3 + [5.5]*1 + [6.5]*8
density = stats.kde.gaussian_kde(data)
x = numpy.arange(0., 8, .1)
plt.plot(x, density(x))
plt.show()
You can easily replace gaussian_kde() by a different kernel density estimate.


