I am making a preprocessing code for my LSTM training. My csv contains more than 30 variables. After applying some EDA techniques, I found that half of the features can be drop and they don't make any effect on training.
Right now I am dropping such features manually by using pandas.
I want to make a code which can drop such features automaticlly.
I wrote a code to visualize heat map and correlation in this way:
#I am making a class so this part is from preprocessing.
# self.data is a Dataframe which contains all csv data
def calculateCorrelationByPearson(self):
columns = self.data.columns
plt.figure(figsize=(12, 8))
sns.heatmap(data=self.data.corr(method='pearson'), annot=True, fmt='.2f',
linewidths=0.5, cmap='Blues')
plt.show()
for column in columns:
corr = stats.spearmanr(self.data['total'], self.data[columns])
print(f'{column} - corr coefficient:{corr[0]}, p-value:{corr[1]}')
This gives me a perfect view of my features and relationship with each other.
Now I want to drop columns which are not important.
Let's say correlation less than 0.4.
How can I apply this logic in to my code?
Here is an approach to remove variables with a correlation coef value below some threshold:
import pandas as pd
from scipy.stats import spearmanr
data = pd.DataFrame([{"A":1, "B":2, "C":3},{"A":2, "B":3, "C":1},{"A":3, "B":4, "C":0},{"A":4, "B":4, "C":1},{"A":5, "B":6, "C":2}])
targetVar = "A"
corr_threshold = 0.4
corr = spearmanr(data)
corrSeries = pd.Series(corr[0][:,0], index=data.columns) #Series with column names and their correlation coefficients
corrSeries = corrSeries[(corrSeries.index != targetVar) & (corrSeries > corr_threshold)] #apply the threshold
vars_to_keep = list(corrSeries.index.values) #list of variables to keep
vars_to_keep.append(targetVar) #add the target variable back in
data2 = data[vars_to_keep]
Related
I have data from students who took a test that has 2 sections : the 1st section tests their digital skill at level2, and the second section tests their digital skills at level3. I need to come up with 3 clusters of students depending on their scores to place them in 3 different skills levels (1,2 and 3) --> code sample below
import pandas as pd
data = [12,24,14,20,8,10,5,23]
# initialize data of lists.
data = {'Name': ['Marc','Fay', 'Emile','bastian', 'Karine','kathia', 'John','moni'],
'Scores_section1': [12,24,14,20,8,10,5,23],
'Scores_section2' : [20,4,1,0,18,9,12,10],
'Sum_all_scores': [32,28,15,20,26,19,17,33]}
# Create DataFrame
df = pd.DataFrame(data)
# print dataframe.
df
I thought about using K-means clustering, but following a tutorial online, I'd need to use x,y coordinates. Should I use scores_section1 as x, and Scores_section2 as y or vice-versa, and why?
Many thanks in advance for your help!
Try it this way.
import pandas as pd
data = [12,24,14,20,8,10,5,23]
# initialize data of lists.
data = {'Name': ['Marc','Fay', 'Emile','bastian', 'Karine','kathia', 'John','moni'],
'Scores_section1': [12,24,14,20,8,10,5,23],
'Scores_section2' : [20,4,1,0,18,9,12,10],
'Sum_all_scores': [32,28,15,20,26,19,17,33]}
# Create DataFrame
df = pd.DataFrame(data)
# print dataframe.
df
#Import required module
from sklearn.cluster import KMeans
#Initialize the class object
kmeans = KMeans(n_clusters=3)
#predict the labels of clusters.
df = df[['Scores_section1', 'Scores_section2', 'Sum_all_scores']]
label = kmeans.fit_predict(df)
label
df['kmeans'] = label
df
# K-Means Clustering may be the most widely known clustering algorithm and involves assigning examples to
# clusters in an effort to minimize the variance within each cluster.
# The main purpose of this paper is to describe a process for partitioning an N-dimensional population into k sets
# on the basis of a sample. The process, which is called ‘k-means,’ appears to give partitions which are reasonably
# efficient in the sense of within-class variance.
# plot X & Y coordinates and color by cluster number
import plotly.express as px
fig = px.scatter(df, x="Scores_section1", y="Scores_section2", color="kmeans", size='Sum_all_scores', hover_data=['kmeans'])
fig.show()
Feel free to modify the code to suit your needs.
The goal is to create a confusion matrix for a chosen model column and compare it with the true column, by discretizing the values into regions.
I have a large dataset where I have constructed a large number of models and created predictions (modelx), and the true values (true) which resemble the following models:
The values of both the models and the true column are between [0,1]. I want to create a function where I can specify regions (Ex: [0, 0.25, 0.5, 0.75, 1]) and discretize a chosen model (a column) into binary values (unless a categorical string would work), whether the values are within the region or not.
In the example above, I have four regions and from here would like to create a confusion matrix of the chosen model.
Here's one solution - use pd.cut:
import pandas as pd
import
from sklearn.metrics import confusion_matrix
import plotly.express as px
df = pd.DataFrame(np.random.random((100,7)), columns = [j for j in range(6)] + ["true"])
df_binned = pd.DataFrame()
for col in df.columns:
df_binned[col] = pd.cut(df[col], bins=[0,0.25, 0.5, 0.75, 1.0], labels=list("lmhs"))
# generate confusion matrix
cm = confusion_matrix(y_true=df_binned.true, y_pred=df_binned[0])
# plot
px.imshow(cm).show()
I am using the Housing train.csv data from Kaggle to run a prediction.
https://www.kaggle.com/c/house-prices-advanced-regression-techniques/data?select=train.csv
I am trying to generate a correlation and only keep the features that correlate with SalePrice from 0.5 to 0.9. I tried to use this function to fileter some of it, but I am removing the correlation values that are above .9 only.
How would I update this function to only keep those specific features that I need to generate a correlation heat map?
data = train
corr = data.corr()
columns = np.full((corr.shape[0],), True, dtype=bool)
for i in range(corr.shape[0]):
for j in range(i+1, corr.shape[0]):
if corr.iloc[i,j] >= 0.9:
if columns[j]:
columns[j] = False
selected_columns = data.columns[columns]
data = data[selected_columns]
import pandas as pd
data = pd.read_csv('train.csv')
col = data.columns
c = [i for i in col if data[i].dtypes=='int64' or data[i].dtypes=='float64'] # dropping columns as dtype == object
main_col = ['SalePrice'] # column with which we have to compare correlation
corr_saleprice = data.corr().filter(main_col).drop(main_col)
c1 =(corr_saleprice['SalePrice']>=0.5) & (corr_saleprice['SalePrice']<=0.9)
c2 =(corr_saleprice['SalePrice']>=-0.9) & (corr_saleprice['SalePrice']<=-0.5)
req_index= list(corr_saleprice[c1 | c2].index) # selecting column with given criteria
#req_index.append('SalePrice') #if you want SalePrice column in your final dataframe too , uncomment this line
data = data[req_index]
data
Also using for loops is not so efficient, a direct implementation is favorable. I hope this is what you want!
For generating heatmap , you can use following code:
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
a =data.corr()
mask = np.triu(np.ones_like(a, dtype=np.bool))
plt.figure(figsize=(10,10))
_ = sns.heatmap(a,cmap=sns.diverging_palette(250, 20, n=250),square=True,mask=mask,annot=True,center=0.5)
I'm using python 3.7.6.
I'm working on classification problem.
I want to scale my data frame (df) features columns.
The dataframe contains 56 columns (55 feature columns and the last column is the target column).
I want to scale the feature columns.
I'm doing it as follows:
y = df.iloc[:,-1]
target_name = df.columns[-1]
from FeatureScaling import feature_scaling
df = feature_scaling.scale(df.iloc[:,0:-1], standardize=False)
df[target_name] = y
but it seems not effective, because I need to recreate dataframe (add the target column to the scaling result).
Is there a way to scale just some columns without change the others, in effective way ?
(i.e the result from scale will contain the scaled columns and one column which is not scale)
Using index of columns for scaling or other pre-processing operations is not a very good idea as every time you create a new feature it breaks the code. Rather use column names. e.g.
using scikit-learn:
from sklearn.preprocessing import StandardScaler, MinMaxScaler
features = [<featues to standardize>]
scalar = StandardScaler()
# the fit_transform ops returns a 2d numpy.array, we cast it to a pd.DataFrame
standardized_features = pd.DataFrame(scalar.fit_transform(df[features].copy()), columns = features)
old_shape = df.shape
# drop the unnormalized features from the dataframe
df.drop(features, axis = 1, inplace = True)
# join back the normalized features
df = pd.concat([df, standardized_features], axis= 1)
assert old_shape == df.shape, "something went wrong!"
or you can use a function like this if you don't prefer splitting and joining the data back.
import numpy as np
def normalize(x):
if np.std(x) == 0:
raise ValueError('Constant column')
return (x -np.mean(x)) / np.std(x)
for col in features:
df[col] = df[col].map(normalize)
You can slice the columns you want:
df.iloc[:, :-1] = feature_scaling.scale(df.iloc[:, :-1], standardize=False)
I have performed a PCA analysis over my original dataset and from the compressed dataset transformed by the PCA I have also selected the number of PC I want to keep (they explain almost the 94% of the variance). Now I am struggling with the identification of the original features that are important in the reduced dataset.
How do I find out which feature is important and which is not among the remaining Principal Components after the dimension reduction?
Here is my code:
from sklearn.decomposition import PCA
pca = PCA(n_components=8)
pca.fit(scaledDataset)
projection = pca.transform(scaledDataset)
Furthermore, I tried also to perform a clustering algorithm on the reduced dataset but surprisingly for me, the score is lower than on the original dataset. How is it possible?
First of all, I assume that you call features the variables and not the samples/observations. In this case, you could do something like the following by creating a biplot function that shows everything in one plot. In this example, I am using the iris data.
Before the example, please note that the basic idea when using PCA as a tool for feature selection is to select variables according to the magnitude (from largest to smallest in absolute values) of their coefficients (loadings). See my last paragraph after the plot for more details.
Overview:
PART1: I explain how to check the importance of the features and how to plot a biplot.
PART2: I explain how to check the importance of the features and how to save them into a pandas dataframe using the feature names.
PART 1:
import numpy as np
import matplotlib.pyplot as plt
from sklearn import datasets
from sklearn.decomposition import PCA
import pandas as pd
from sklearn.preprocessing import StandardScaler
iris = datasets.load_iris()
X = iris.data
y = iris.target
#In general a good idea is to scale the data
scaler = StandardScaler()
scaler.fit(X)
X=scaler.transform(X)
pca = PCA()
x_new = pca.fit_transform(X)
def myplot(score,coeff,labels=None):
xs = score[:,0]
ys = score[:,1]
n = coeff.shape[0]
scalex = 1.0/(xs.max() - xs.min())
scaley = 1.0/(ys.max() - ys.min())
plt.scatter(xs * scalex,ys * scaley, c = y)
for i in range(n):
plt.arrow(0, 0, coeff[i,0], coeff[i,1],color = 'r',alpha = 0.5)
if labels is None:
plt.text(coeff[i,0]* 1.15, coeff[i,1] * 1.15, "Var"+str(i+1), color = 'g', ha = 'center', va = 'center')
else:
plt.text(coeff[i,0]* 1.15, coeff[i,1] * 1.15, labels[i], color = 'g', ha = 'center', va = 'center')
plt.xlim(-1,1)
plt.ylim(-1,1)
plt.xlabel("PC{}".format(1))
plt.ylabel("PC{}".format(2))
plt.grid()
#Call the function. Use only the 2 PCs.
myplot(x_new[:,0:2],np.transpose(pca.components_[0:2, :]))
plt.show()
Visualize what's going on using the biplot
Now, the importance of each feature is reflected by the magnitude of the corresponding values in the eigenvectors (higher magnitude - higher importance)
Let's see first what amount of variance does each PC explain.
pca.explained_variance_ratio_
[0.72770452, 0.23030523, 0.03683832, 0.00515193]
PC1 explains 72% and PC2 23%. Together, if we keep PC1 and PC2 only, they explain 95%.
Now, let's find the most important features.
print(abs( pca.components_ ))
[[0.52237162 0.26335492 0.58125401 0.56561105]
[0.37231836 0.92555649 0.02109478 0.06541577]
[0.72101681 0.24203288 0.14089226 0.6338014 ]
[0.26199559 0.12413481 0.80115427 0.52354627]]
Here, pca.components_ has shape [n_components, n_features]. Thus, by looking at the PC1 (First Principal Component) which is the first row: [0.52237162 0.26335492 0.58125401 0.56561105]] we can conclude that feature 1, 3 and 4 (or Var 1, 3 and 4 in the biplot) are the most important. This is also clearly visible from the biplot (that's why we often use this plot to summarize the information in a visual way).
To sum up, look at the absolute values of the Eigenvectors' components corresponding to the k largest Eigenvalues. In sklearn the components are sorted by explained_variance_. The larger they are these absolute values, the more a specific feature contributes to that principal component.
PART 2:
The important features are the ones that influence more the components and thus, have a large absolute value/score on the component.
To get the most important features on the PCs with names and save them into a pandas dataframe use this:
from sklearn.decomposition import PCA
import pandas as pd
import numpy as np
np.random.seed(0)
# 10 samples with 5 features
train_features = np.random.rand(10,5)
model = PCA(n_components=2).fit(train_features)
X_pc = model.transform(train_features)
# number of components
n_pcs= model.components_.shape[0]
# get the index of the most important feature on EACH component
# LIST COMPREHENSION HERE
most_important = [np.abs(model.components_[i]).argmax() for i in range(n_pcs)]
initial_feature_names = ['a','b','c','d','e']
# get the names
most_important_names = [initial_feature_names[most_important[i]] for i in range(n_pcs)]
# LIST COMPREHENSION HERE AGAIN
dic = {'PC{}'.format(i): most_important_names[i] for i in range(n_pcs)}
# build the dataframe
df = pd.DataFrame(dic.items())
This prints:
0 1
0 PC0 e
1 PC1 d
So on the PC1 the feature named e is the most important and on PC2 the d.
Nice article as well here: https://towardsdatascience.com/pca-clearly-explained-how-when-why-to-use-it-and-feature-importance-a-guide-in-python-7c274582c37e?source=friends_link&sk=65bf5440e444c24aff192fedf9f8b64f
the pca library contains this functionality.
pip install pca
A demonstration to extract the feature importance is as following:
# Import libraries
import numpy as np
import pandas as pd
from pca import pca
# Lets create a dataset with features that have decreasing variance.
# We want to extract feature f1 as most important, followed by f2 etc
f1=np.random.randint(0,100,250)
f2=np.random.randint(0,50,250)
f3=np.random.randint(0,25,250)
f4=np.random.randint(0,10,250)
f5=np.random.randint(0,5,250)
f6=np.random.randint(0,4,250)
f7=np.random.randint(0,3,250)
f8=np.random.randint(0,2,250)
f9=np.random.randint(0,1,250)
# Combine into dataframe
X = np.c_[f1,f2,f3,f4,f5,f6,f7,f8,f9]
X = pd.DataFrame(data=X, columns=['f1','f2','f3','f4','f5','f6','f7','f8','f9'])
# Initialize
model = pca()
# Fit transform
out = model.fit_transform(X)
# Print the top features. The results show that f1 is best, followed by f2 etc
print(out['topfeat'])
# PC feature
# 0 PC1 f1
# 1 PC2 f2
# 2 PC3 f3
# 3 PC4 f4
# 4 PC5 f5
# 5 PC6 f6
# 6 PC7 f7
# 7 PC8 f8
# 8 PC9 f9
Plot the explained variance
model.plot()
Make the biplot. It can be nicely seen that the first feature with most variance (f1), is almost horizontal in the plot, whereas the second most variance (f2) is almost vertical. This is expected because most of the variance is in f1, followed by f2 etc.
ax = model.biplot(n_feat=10, legend=False)
Biplot in 3d. Here we see the nice addition of the expected f3 in the plot in the z-direction.
ax = model.biplot3d(n_feat=10, legend=False)
# original_num_df the original numeric dataframe
# pca is the model
def create_importance_dataframe(pca, original_num_df):
# Change pcs components ndarray to a dataframe
importance_df = pd.DataFrame(pca.components_)
# Assign columns
importance_df.columns = original_num_df.columns
# Change to absolute values
importance_df =importance_df.apply(np.abs)
# Transpose
importance_df=importance_df.transpose()
# Change column names again
## First get number of pcs
num_pcs = importance_df.shape[1]
## Generate the new column names
new_columns = [f'PC{i}' for i in range(1, num_pcs + 1)]
## Now rename
importance_df.columns =new_columns
# Return importance df
return importance_df
# Call function to create importance df
importance_df =create_importance_dataframe(pca, original_num_df)
# Show first few rows
display(importance_df.head())
# Sort depending on PC of interest
## PC1 top 10 important features
pc1_top_10_features = importance_df['PC1'].sort_values(ascending = False)[:10]
print(), print(f'PC1 top 10 feautres are \n')
display(pc1_top_10_features )
## PC2 top 10 important features
pc2_top_10_features = importance_df['PC2'].sort_values(ascending = False)[:10]
print(), print(f'PC2 top 10 feautres are \n')
display(pc2_top_10_features )