Plot correlation matrix using pandas

Question:

I have a data set with huge number of features, so analysing the correlation matrix has become very difficult. I want to plot a correlation matrix which we get using dataframe.corr() function from pandas library. Is there any built-in function provided by the pandas library to plot this matrix?

Asked By: Gaurav Singh

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Answers:

You can use pyplot.matshow() from matplotlib:

import matplotlib.pyplot as plt

plt.matshow(dataframe.corr())
plt.show()

Edit:

In the comments was a request for how to change the axis tick labels. Here’s a deluxe version that is drawn on a bigger figure size, has axis labels to match the dataframe, and a colorbar legend to interpret the color scale.

I’m including how to adjust the size and rotation of the labels, and I’m using a figure ratio that makes the colorbar and the main figure come out the same height.


EDIT 2:
As the df.corr() method ignores non-numerical columns, .select_dtypes(['number']) should be used when defining the x and y labels to avoid an unwanted shift of the labels (included in the code below).

f = plt.figure(figsize=(19, 15))
plt.matshow(df.corr(), fignum=f.number)
plt.xticks(range(df.select_dtypes(['number']).shape[1]), df.select_dtypes(['number']).columns, fontsize=14, rotation=45)
plt.yticks(range(df.select_dtypes(['number']).shape[1]), df.select_dtypes(['number']).columns, fontsize=14)
cb = plt.colorbar()
cb.ax.tick_params(labelsize=14)
plt.title('Correlation Matrix', fontsize=16);

correlation plot example

Answered By: jrjc

Try this function, which also displays variable names for the correlation matrix:

def plot_corr(df,size=10):
    """Function plots a graphical correlation matrix for each pair of columns in the dataframe.

    Input:
        df: pandas DataFrame
        size: vertical and horizontal size of the plot
    """

    corr = df.corr()
    fig, ax = plt.subplots(figsize=(size, size))
    ax.matshow(corr)
    plt.xticks(range(len(corr.columns)), corr.columns)
    plt.yticks(range(len(corr.columns)), corr.columns)
Answered By: Apogentus

Seaborn’s heatmap version:

import seaborn as sns
corr = dataframe.corr()
sns.heatmap(corr, 
            xticklabels=corr.columns.values,
            yticklabels=corr.columns.values)
Answered By: rafaelvalle

You can observe the relation between features either by drawing a heat map from seaborn or scatter matrix from pandas.

Scatter Matrix:

pd.scatter_matrix(dataframe, alpha = 0.3, figsize = (14,8), diagonal = 'kde');

If you want to visualize each feature’s skewness as well – use seaborn pairplots.

sns.pairplot(dataframe)

Sns Heatmap:

import seaborn as sns

f, ax = pl.subplots(figsize=(10, 8))
corr = dataframe.corr()
sns.heatmap(corr,
    cmap=sns.diverging_palette(220, 10, as_cmap=True),
    vmin=-1.0, vmax=1.0,
    square=True, ax=ax)

The output will be a correlation map of the features. i.e. see the below example.

enter image description here

The correlation between grocery and detergents is high. Similarly:

Pdoducts With High Correlation:

  1. Grocery and Detergents.

Products With Medium Correlation:

  1. Milk and Grocery
  2. Milk and Detergents_Paper

Products With Low Correlation:

  1. Milk and Deli
  2. Frozen and Fresh.
  3. Frozen and Deli.

From Pairplots: You can observe same set of relations from pairplots or scatter matrix. But from these we can say that whether the data is normally distributed or not.

enter image description here

Note: The above is same graph taken from the data, which is used to draw heatmap.

Answered By: phanindravarma

If your main goal is to visualize the correlation matrix, rather than creating a plot per se, the convenient pandas styling options is a viable built-in solution:

import pandas as pd
import numpy as np

rs = np.random.RandomState(0)
df = pd.DataFrame(rs.rand(10, 10))
corr = df.corr()
corr.style.background_gradient(cmap='coolwarm')
# 'RdBu_r', 'BrBG_r', & PuOr_r are other good diverging colormaps

enter image description here

Note that this needs to be in a backend that supports rendering HTML, such as the JupyterLab Notebook.


Styling

You can easily limit the digit precision:

corr.style.background_gradient(cmap='coolwarm').set_precision(2)

enter image description here

Or get rid of the digits altogether if you prefer the matrix without annotations:

corr.style.background_gradient(cmap='coolwarm').set_properties(**{'font-size': '0pt'})

enter image description here

The styling documentation also includes instructions of more advanced styles, such as how to change the display of the cell the mouse pointer is hovering over.


Time comparison

In my testing, style.background_gradient() was 4x faster than plt.matshow() and 120x faster than sns.heatmap() with a 10×10 matrix. Unfortunately it doesn’t scale as well as plt.matshow(): the two take about the same time for a 100×100 matrix, and plt.matshow() is 10x faster for a 1000×1000 matrix.


Saving

There are a few possible ways to save the stylized dataframe:

  • Return the HTML by appending the render() method and then write the output to a file.
  • Save as an .xslx file with conditional formatting by appending the to_excel() method.
  • Combine with imgkit to save a bitmap
  • Take a screenshot (like I have done here).

Normalize colors across the entire matrix (pandas >= 0.24)

By setting axis=None, it is now possible to compute the colors based on the entire matrix rather than per column or per row:

corr.style.background_gradient(cmap='coolwarm', axis=None)

enter image description here


Single corner heatmap

Since many people are reading this answer I thought I would add a tip for how to only show one corner of the correlation matrix. I find this easier to read myself, since it removes the redundant information.

# Fill diagonal and upper half with NaNs
mask = np.zeros_like(corr, dtype=bool)
mask[np.triu_indices_from(mask)] = True
corr[mask] = np.nan
(corr
 .style
 .background_gradient(cmap='coolwarm', axis=None, vmin=-1, vmax=1)
 .highlight_null(null_color='#f1f1f1')  # Color NaNs grey
 .set_precision(2))

enter image description here

Answered By: joelostblom

You can use imshow() method from matplotlib

import pandas as pd
import matplotlib.pyplot as plt
plt.style.use('ggplot')

plt.imshow(X.corr(), cmap=plt.cm.Reds, interpolation='nearest')
plt.colorbar()
tick_marks = [i for i in range(len(X.columns))]
plt.xticks(tick_marks, X.columns, rotation='vertical')
plt.yticks(tick_marks, X.columns)
plt.show()
Answered By: Khandelwal-manik

If you dataframe is df you can simply use:

import matplotlib.pyplot as plt
import seaborn as sns

plt.figure(figsize=(15, 10))
sns.heatmap(df.corr(), annot=True)
Answered By: Hrvoje

statmodels graphics also gives a nice view of correlation matrix

import statsmodels.api as sm
import matplotlib.pyplot as plt

corr = dataframe.corr()
sm.graphics.plot_corr(corr, xnames=list(corr.columns))
plt.show()
Answered By: Shahriar Miraj

For completeness, the simplest solution i know with seaborn as of late 2019, if one is using Jupyter:

import seaborn as sns
sns.heatmap(dataframe.corr())
Answered By: Marcin

Along with other methods it is also good to have pairplot which will give scatter plot for all the cases-

import pandas as pd
import numpy as np
import seaborn as sns
rs = np.random.RandomState(0)
df = pd.DataFrame(rs.rand(10, 10))
sns.pairplot(df)
Answered By: Nishant Tyagi

Form correlation matrix, in my case zdf is the dataframe which i need perform correlation matrix.

corrMatrix =zdf.corr()
corrMatrix.to_csv('sm_zscaled_correlation_matrix.csv');
html = corrMatrix.style.background_gradient(cmap='RdBu').set_precision(2).render()

# Writing the output to a html file.
with open('test.html', 'w') as f:
   print('<!DOCTYPE html><html lang="en"><head><meta charset="UTF-8"><meta name="viewport" content="width=device-widthinitial-scale=1.0"><title>Document</title></head><style>table{word-break: break-all;}</style><body>' + html+'</body></html>', file=f)

Then we can take screenshot. or convert html to an image file.

Answered By: smsivaprakaash

Surprised to see no one mentioned more capable, interactive and easier to use alternatives.

A) You can use plotly:

  1. Just two lines and you get:

  2. interactivity,

  3. smooth scale,

  4. colors based on whole dataframe instead of individual columns,

  5. column names & row indices on axes,

  6. zooming in,

  7. panning,

  8. built-in one-click ability to save it as a PNG format,

  9. auto-scaling,

  10. comparison on hovering,

  11. bubbles showing values so heatmap still looks good and you can see
    values wherever you want:

import plotly.express as px
fig = px.imshow(df.corr())
fig.show()

enter image description here

B) You can also use Bokeh:

All the same functionality with a tad much hassle. But still worth it if you do not want to opt-in for plotly and still want all these things:

from bokeh.plotting import figure, show, output_notebook
from bokeh.models import ColumnDataSource, LinearColorMapper
from bokeh.transform import transform
output_notebook()
colors = ['#d7191c', '#fdae61', '#ffffbf', '#a6d96a', '#1a9641']
TOOLS = "hover,save,pan,box_zoom,reset,wheel_zoom"
data = df.corr().stack().rename("value").reset_index()
p = figure(x_range=list(df.columns), y_range=list(df.index), tools=TOOLS, toolbar_location='below',
           tooltips=[('Row, Column', '@level_0 x @level_1'), ('value', '@value')], height = 500, width = 500)

p.rect(x="level_1", y="level_0", width=1, height=1,
       source=data,
       fill_color={'field': 'value', 'transform': LinearColorMapper(palette=colors, low=data.value.min(), high=data.value.max())},
       line_color=None)
color_bar = ColorBar(color_mapper=LinearColorMapper(palette=colors, low=data.value.min(), high=data.value.max()), major_label_text_font_size="7px",
                     ticker=BasicTicker(desired_num_ticks=len(colors)),
                     formatter=PrintfTickFormatter(format="%f"),
                     label_standoff=6, border_line_color=None, location=(0, 0))
p.add_layout(color_bar, 'right')

show(p)

enter image description here

Answered By: Hamza

You can use heatmap() from seaborn to see the correlation b/w different features:

import matplot.pyplot as plt
import seaborn as sns

co_matrics=dataframe.corr()
plot.figure(figsize=(15,20))
sns.heatmap(co_matrix, square=True, cbar_kws={"shrink": .5})
Answered By: Reyan Ishtiaq

Please check below readable code

import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt
plt.figure(figsize=(36, 26))
heatmap = sns.heatmap(df.corr(), vmin=-1, vmax=1, annot=True)
heatmap.set_title('Correlation Heatmap', fontdict={'fontsize':12}, pad=12)```

  [1]: https://i.stack.imgur.com/I5SeR.png
Answered By: chetan wankhede
corrmatrix = df.corr()
corrmatrix *= np.tri(*corrmatrix.values.shape, k=-1).T
corrmatrix = corrmatrix.stack().sort_values(ascending = False).reset_index()
corrmatrix.columns = ['Признак 1', 'Признак 2', 'Корреляция']
corrmatrix[(corrmatrix['Корреляция'] >= 0.7) + (corrmatrix['Корреляция'] <= -0.7)]
drop_columns = corrmatrix[(corrmatrix['Корреляция'] >= 0.82) + (corrmatrix['Корреляция'] <= -0.7)]['Признак 2']
df.drop(drop_columns, axis=1, inplace=True)
corrmatrix[(corrmatrix['Корреляция'] >= 0.7) + (corrmatrix['Корреляция'] <= -0.7)]

I think there are many good answers but I added this answer to those who need to deal with specific columns and to show a different plot.

import numpy as np
import seaborn as sns
import pandas as pd
from matplotlib import pyplot as plt

rs = np.random.RandomState(0)
df = pd.DataFrame(rs.rand(18, 18))
df= df.iloc[: , [3,4,5,6,7,8,9,10,11,12,13,14,17]].copy()
corr = df.corr()
plt.figure(figsize=(11,8))
sns.heatmap(corr, cmap="Greens",annot=True)
plt.show()

enter image description here

Answered By: I_Al-thamary

I would prefer to do it with Plotly because it’s more interactive charts and it would be easier to understand. You can use the following snippet.

import plotly.express as px

def plotly_corr_plot(df,w,h):
    fig = px.imshow(df.corr())
    fig.update_layout(
        autosize=False,
        width=w,
        height=h,)
    fig.show()
Answered By: Kushal Bhavsar

When working with correlations between a large number of features I find it useful to cluster related features together. This can be done with the seaborn clustermap plot.

import seaborn as sns
import matplotlib.pyplot as plt

g = sns.clustermap(df.corr(), 
                   method = 'complete', 
                   cmap   = 'RdBu', 
                   annot  = True, 
                   annot_kws = {'size': 8})
plt.setp(g.ax_heatmap.get_xticklabels(), rotation=60);

enter image description here

The clustermap function uses hierarchical clustering to arrange relevant features together and produce the tree-like dendrograms.

There are two notable clusters in this plot:

  1. y_des and dew.point_des
  2. irradiance, y_seasonal and dew.point_seasonal

FWIW the meteorological data to generate this figure can be accessed with this Jupyter notebook.

Answered By: makeyourownmaker