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Kaggle | IEEE Fraud Detection(EDA)

程序员文章站 2022-04-10 20:58:28
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IEEE Fraud Detection - EDA

1 Description

In this competition, you’ll benchmark machine learning models on a challenging large-scale dataset. The data comes from Vesta’s real-world e-commerce transactions and contains a wide range of features from device type to product features. You also have the opportunity to create new features to improve your results.

If successful, you’ll improve the efficacy of fraudulent transaction alerts for millions of people around the world, helping hundreds of thousands of businesses reduce their fraud loss and increase their revenue. And of course, you will save party people just like you the hassle of false positives.

We need to predict the probability that an online transaction is fraudulent, as denoted by the binary target isFraud. The data is broken into two files identity and transaction, which are joined by TransactionID. Not all transactions have corresponding identity information.

2 Prepare the Data

2.1 Import and Preparation

First we import the necessary libraries that we need.

from sklearn import *
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
import altair as alt
PATH='E:/kaggle/ieee-fraud-detection/'
tran_tr=pd.read_csv(PATH+'train_transaction.csv')
iden_tr=pd.read_csv(PATH+'train_identity.csv')
tran_ts=pd.read_csv(PATH+'test_transaction.csv')
iden_ts=pd.read_csv(PATH+'test_identity.csv')

To make the process simplier, we can merge the two datasets: identities and transaction.

train=pd.merge(tran_tr,iden_tr,on='TransactionID',how='left')
test=pd.merge(tran_ts,iden_ts,on='TransactionID',how='left')
print(f'Train: {train.shape[0]} rows {train.shape[1]} columns.')
print(f'Test: {test.shape[0]} rows {test.shape[1]} columns.')

2.2 Check the Data

We need to check out the missing value in the new dataset.

# check the missing values

data_na=(train.isnull().sum()/len(train))*100
missing_data=pd.DataFrame({'MissingRatio':data_na})
print((missing_data[0:50]))
print((missing_data[50:100]))
print((missing_data[100:150]))
print((missing_data[150:200]))
print((missing_data[200:250]))
print((missing_data[250:300]))
print((missing_data[300:350]))
print((missing_data[350:400]))
print((missing_data[400:434]))
                MissingRatio
TransactionID       0.000000
isFraud             0.000000
TransactionDT       0.000000
TransactionAmt      0.000000
ProductCD           0.000000
card1               0.000000
card2               1.512683
card3               0.265012
card4               0.267044
card5               0.721204
card6               0.266028
addr1              11.126427
addr2              11.126427
dist1              59.652352
dist2              93.628374
P_emaildomain      15.994852
R_emaildomain      76.751617
C1                  0.000000
C2                  0.000000
C3                  0.000000
C4                  0.000000
C5                  0.000000
C6                  0.000000
C7                  0.000000
C8                  0.000000
C9                  0.000000
C10                 0.000000
C11                 0.000000
C12                 0.000000
C13                 0.000000
C14                 0.000000
D1                  0.214888
D2                 47.549192
D3                 44.514851
D4                 28.604667
D5                 52.467403
D6                 87.606767
D7                 93.409930
D8                 87.312290
D9                 87.312290
D10                12.873302
D11                47.293494
D12                89.041047
D13                89.509263
D14                89.469469
D15                15.090087
M1                 45.907136
M2                 45.907136
M3                 45.907136
M4                 47.658753
     MissingRatio
M5      59.349409
M6      28.678836
M7      58.635317
M8      58.633115
M9      58.633115
V1      47.293494
V2      47.293494
V3      47.293494
V4      47.293494
V5      47.293494
V6      47.293494
V7      47.293494
V8      47.293494
V9      47.293494
V10     47.293494
V11     47.293494
V12     12.881939
V13     12.881939
V14     12.881939
V15     12.881939
V16     12.881939
V17     12.881939
V18     12.881939
V19     12.881939
V20     12.881939
V21     12.881939
V22     12.881939
V23     12.881939
V24     12.881939
V25     12.881939
V26     12.881939
V27     12.881939
V28     12.881939
V29     12.881939
V30     12.881939
V31     12.881939
V32     12.881939
V33     12.881939
V34     12.881939
V35     28.612626
V36     28.612626
V37     28.612626
V38     28.612626
V39     28.612626
V40     28.612626
V41     28.612626
V42     28.612626
V43     28.612626
V44     28.612626
V45     28.612626
     MissingRatio
V46     28.612626
V47     28.612626
V48     28.612626
V49     28.612626
V50     28.612626
V51     28.612626
V52     28.612626
V53     13.055170
V54     13.055170
V55     13.055170
V56     13.055170
V57     13.055170
V58     13.055170
V59     13.055170
V60     13.055170
V61     13.055170
V62     13.055170
V63     13.055170
V64     13.055170
V65     13.055170
V66     13.055170
V67     13.055170
V68     13.055170
V69     13.055170
V70     13.055170
V71     13.055170
V72     13.055170
V73     13.055170
V74     13.055170
V75     15.098723
V76     15.098723
V77     15.098723
V78     15.098723
V79     15.098723
V80     15.098723
V81     15.098723
V82     15.098723
V83     15.098723
V84     15.098723
V85     15.098723
V86     15.098723
V87     15.098723
V88     15.098723
V89     15.098723
V90     15.098723
V91     15.098723
V92     15.098723
V93     15.098723
V94     15.098723
V95      0.053172
      MissingRatio
V96       0.053172
V97       0.053172
V98       0.053172
V99       0.053172
V100      0.053172
V101      0.053172
V102      0.053172
V103      0.053172
V104      0.053172
V105      0.053172
V106      0.053172
V107      0.053172
V108      0.053172
V109      0.053172
V110      0.053172
V111      0.053172
V112      0.053172
V113      0.053172
V114      0.053172
V115      0.053172
V116      0.053172
V117      0.053172
V118      0.053172
V119      0.053172
V120      0.053172
V121      0.053172
V122      0.053172
V123      0.053172
V124      0.053172
V125      0.053172
V126      0.053172
V127      0.053172
V128      0.053172
V129      0.053172
V130      0.053172
V131      0.053172
V132      0.053172
V133      0.053172
V134      0.053172
V135      0.053172
V136      0.053172
V137      0.053172
V138     86.123717
V139     86.123717
V140     86.123717
V141     86.123717
V142     86.123717
V143     86.122701
V144     86.122701
V145     86.122701
      MissingRatio
V146     86.123717
V147     86.123717
V148     86.123717
V149     86.123717
V150     86.122701
V151     86.122701
V152     86.122701
V153     86.123717
V154     86.123717
V155     86.123717
V156     86.123717
V157     86.123717
V158     86.123717
V159     86.122701
V160     86.122701
V161     86.123717
V162     86.123717
V163     86.123717
V164     86.122701
V165     86.122701
V166     86.122701
V167     76.355370
V168     76.355370
V169     76.323534
V170     76.323534
V171     76.323534
V172     76.355370
V173     76.355370
V174     76.323534
V175     76.323534
V176     76.355370
V177     76.355370
V178     76.355370
V179     76.355370
V180     76.323534
V181     76.355370
V182     76.355370
V183     76.355370
V184     76.323534
V185     76.323534
V186     76.355370
V187     76.355370
V188     76.323534
V189     76.323534
V190     76.355370
V191     76.355370
V192     76.355370
V193     76.355370
V194     76.323534
V195     76.323534
      MissingRatio
V196     76.355370
V197     76.323534
V198     76.323534
V199     76.355370
V200     76.323534
V201     76.323534
V202     76.355370
V203     76.355370
V204     76.355370
V205     76.355370
V206     76.355370
V207     76.355370
V208     76.323534
V209     76.323534
V210     76.323534
V211     76.355370
V212     76.355370
V213     76.355370
V214     76.355370
V215     76.355370
V216     76.355370
V217     77.913435
V218     77.913435
V219     77.913435
V220     76.053104
V221     76.053104
V222     76.053104
V223     77.913435
V224     77.913435
V225     77.913435
V226     77.913435
V227     76.053104
V228     77.913435
V229     77.913435
V230     77.913435
V231     77.913435
V232     77.913435
V233     77.913435
V234     76.053104
V235     77.913435
V236     77.913435
V237     77.913435
V238     76.053104
V239     76.053104
V240     77.913435
V241     77.913435
V242     77.913435
V243     77.913435
V244     77.913435
V245     76.053104
      MissingRatio
V246     77.913435
V247     77.913435
V248     77.913435
V249     77.913435
V250     76.053104
V251     76.053104
V252     77.913435
V253     77.913435
V254     77.913435
V255     76.053104
V256     76.053104
V257     77.913435
V258     77.913435
V259     76.053104
V260     77.913435
V261     77.913435
V262     77.913435
V263     77.913435
V264     77.913435
V265     77.913435
V266     77.913435
V267     77.913435
V268     77.913435
V269     77.913435
V270     76.053104
V271     76.053104
V272     76.053104
V273     77.913435
V274     77.913435
V275     77.913435
V276     77.913435
V277     77.913435
V278     77.913435
V279      0.002032
V280      0.002032
V281      0.214888
V282      0.214888
V283      0.214888
V284      0.002032
V285      0.002032
V286      0.002032
V287      0.002032
V288      0.214888
V289      0.214888
V290      0.002032
V291      0.002032
V292      0.002032
V293      0.002032
V294      0.002032
V295      0.002032
       MissingRatio
V296       0.214888
V297       0.002032
V298       0.002032
V299       0.002032
V300       0.214888
V301       0.214888
V302       0.002032
V303       0.002032
V304       0.002032
V305       0.002032
V306       0.002032
V307       0.002032
V308       0.002032
V309       0.002032
V310       0.002032
V311       0.002032
V312       0.002032
V313       0.214888
V314       0.214888
V315       0.214888
V316       0.002032
V317       0.002032
V318       0.002032
V319       0.002032
V320       0.002032
V321       0.002032
V322      86.054967
V323      86.054967
V324      86.054967
V325      86.054967
V326      86.054967
V327      86.054967
V328      86.054967
V329      86.054967
V330      86.054967
V331      86.054967
V332      86.054967
V333      86.054967
V334      86.054967
V335      86.054967
V336      86.054967
V337      86.054967
V338      86.054967
V339      86.054967
id_01     75.576083
id_02     76.145223
id_03     88.768923
id_04     88.768923
id_05     76.823755
id_06     76.823755
            MissingRatio
id_07          99.127070
id_08          99.127070
id_09          87.312290
id_10          87.312290
id_11          76.127273
id_12          75.576083
id_13          78.440072
id_14          86.445626
id_15          76.126088
id_16          78.098012
id_17          76.399736
id_18          92.360721
id_19          76.408372
id_20          76.418024
id_21          99.126393
id_22          99.124699
id_23          99.124699
id_24          99.196159
id_25          99.130965
id_26          99.125715
id_27          99.124699
id_28          76.127273
id_29          76.127273
id_30          86.865411
id_31          76.245132
id_32          86.861855
id_33          87.589494
id_34          86.824771
id_35          76.126088
id_36          76.126088
id_37          76.126088
id_38          76.126088
DeviceType     76.155722
DeviceInfo     79.905510

As we can see, some columns contain massive missing point, even up to 90% percent, which will bring a lot of trouble to our processing. On the contrary, some columns don’t contain any missing value.

Then we check the target value.

# target value

train.isFraud.value_counts()
0    569877
1     20663
Name: isFraud, dtype: int64

As we can see, this dataset is unbalanced. Although we are dealing with a binary classification problem, we may not evaluate the outcome by accuracy only, as the accuracy will appear to be high if we classify all the data as ‘Not fraud’.

'''
# Just for data checking

for col in train.columns:
    def check(mit):
        print(mit.value_counts())
        print(mit.isnull().value_counts())
    check(test.TransactionAmt)
'''

2.3 Summary

After some simple analytical work, we can see that this dataset contains all kinds of data:

  • TransactionDT/TransactionAmt:Continuous variable

  • ProductCD:Categorical variable (Five classes)

  • card1/2/3/5:Features with integers

  • card4/6:Categorical variable (Four classes, very unbalanced)

  • addr1/2:Strange features with integers

  • dist1/2:Strange features with integers (Many missing points, extremely unbalanced)

  • P_emaildomain:Categorical variable

  • R_emaildomain:Categorical variable (With lots of missing values)

  • C1-14:Strange features with integers (Some are really unbalanced, but without missing values)

  • D1-15:Strange features with integers (Some are really unbalanced, some have lots of missing values)

  • M1-9:Categorical features (T or F)

  • V1-339:Strange features with integers (Some are really unbalanced, some have lots of missing values)

  • id_01-38:Contain all kinds of features

  • Device Type/Info:Categorical features

3 Data Visualization

3.1 TransectionDT/TransectionAmt

We need to do some ‘Artisitic Work’ in this section, first let’s find out the distribution of TransactionDT in the training set and testing set.

# data visualization
# TransactionDT

plt.figure(figsize=(18,10))
plt.title('Distribution of TransactionDT')
sns.distplot(train.TransactionDT,color='red',kde=True,label='train')
sns.distplot(test.TransactionDT,color='blue',kde=True,label='test')
plt.legend()
plt.show()
# 30 Days gap between train and test

Kaggle | IEEE Fraud Detection(EDA)

We can see that this feature represents the time and there’s a gap around 30 days between the training set and testing set.

Then we visualize the distribution of TransactionAmt, we also plot the distribution in both training set and testing set.

# TransactionAmt & log-TransactionAmt

plt.figure(figsize=(18,10))
plt.suptitle('Distribution of TransactionAmt')
plt.subplot(221)
g1=sns.distplot(train.TransactionAmt,color='red',kde=True,bins=960,label='train')
g1=sns.distplot(test.TransactionAmt,color='blue',kde=True,bins=960,label='test')
g1.set_title("Transaction Amount Distribuition", fontsize=18)
plt.axis([-10,3000,-0.0001,0.01])
plt.legend()

plt.subplot(222)
g2=sns.distplot(np.log(train.TransactionAmt),color='red',kde=True,bins=180,label='train')
g2=sns.distplot(np.log(test.TransactionAmt),color='blue',kde=True,bins=180,label='test')
g2.set_title("Transaction Amount Distribuition(Log)", fontsize=18)
plt.axis([-1,10,-0.01,1.5])
plt.legend()
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

We can see that the data has obvious amesiality, so we use log function to transform the data, after the transformation we can see that the distribution of data becomes clearer.

3.2 Product/Card

Product CD is a categorical feature, and we calculate the total for each category, and we separate the two types of target values.

# product CD

fig,ax=plt.subplots(1,1,figsize=(11,11))
sns.countplot(x="ProductCD", ax=ax, hue = "isFraud", data=train)
ax.set_title('ProductCD train', fontsize=14)
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

cards 4 and cards 6 are also categorical features so we do the same process.

# cards 4 & 6

fig,ax=plt.subplots(1,4,figsize=(26,8))
sns.countplot(x="card4",ax=ax[0],data=train.loc[train['isFraud']==0])
ax[0].set_title("card4 isFraud=0",fontsize=14)
sns.countplot(x="card4",ax=ax[1],data=train.loc[train['isFraud']==1])
ax[1].set_title("card4 isFraud=1",fontsize=14)
sns.countplot(x="card6",ax=ax[2],data=train.loc[train['isFraud']==0])
ax[2].set_title("card6 isFraud=0",fontsize=14)
sns.countplot(x="card6",ax=ax[3],data=train.loc[train['isFraud']==1])
ax[3].set_title("card6 isFraud=1",fontsize=14)
Text(0.5, 1.0, 'card6 isFraud=1')

Kaggle | IEEE Fraud Detection(EDA)

card 1,2,3,5 are numerical features, so we plot the distributions.

# card 1,2,3,5

fig,ax=plt.subplots(1,4,figsize=(26,8))
sns.distplot(train.loc[train['isFraud']==0]['card1'],bins=50,ax=ax[0],label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['card1'],bins=50,ax=ax[0],label='isFraud==1')
ax[0].legend()
ax[0].set_title("card1")
sns.distplot(train.loc[train['isFraud']==0]['card2'],bins=50,ax=ax[1],label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['card2'],bins=50,ax=ax[1],label='isFraud==1')
ax[1].legend()
ax[1].set_title("card2")
sns.distplot(train.loc[train['isFraud']==0]['card3'],bins=50,ax=ax[2],label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['card3'],bins=50,ax=ax[2],label='isFraud==1')
ax[2].legend()
ax[2].set_title("card3")
sns.distplot(train.loc[train['isFraud']==0]['card5'],bins=50,ax=ax[3],label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['card5'],bins=50,ax=ax[3],label='isFraud==1')
ax[3].legend()
ax[3].set_title("card5")

Text(0.5, 1.0, 'card5')

Kaggle | IEEE Fraud Detection(EDA)

We can see that the distributions may show the correlation with fraud or not.

3.3 Addr/Dist

Let see the order columns in the data set.

# addr1/2

fig,ax=plt.subplots(2,1,figsize=(16,12))
sns.distplot(train.loc[train['isFraud']==0]['addr1'],ax=ax[0],bins=200,label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['addr1'],ax=ax[0],bins=200,label='isFraud==1')
ax[0].legend()
ax[0].set_title('addr1')
sns.distplot(train.loc[train['isFraud']==0]['addr2'],ax=ax[1],bins=200,label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['addr2'],ax=ax[1],bins=200,label='isFraud==1')
ax[1].legend()
ax[1].set_title('addr2')
Text(0.5, 1.0, 'addr2')

Kaggle | IEEE Fraud Detection(EDA)

Addr1 is relatively decentralized, but addr2 basically gathering around a particular number, that’s weird before we know the actual meaning of the data.

What about the dist features?

# dist1/2

fig,ax=plt.subplots(2,1,figsize=(16,12))
sns.distplot(train.loc[train['isFraud']==0]['dist1'],ax=ax[0],bins=200,label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['dist1'],ax=ax[0],bins=200,label='isFraud==1')
ax[0].legend()
ax[0].set_title('dist1')
sns.distplot(train.loc[train['isFraud']==0]['dist2'],ax=ax[1],bins=200,label='isFraud==0')
sns.distplot(train.loc[train['isFraud']==1]['dist2'],ax=ax[1],bins=200,label='isFraud==1')
ax[1].legend()
ax[1].set_title('dist2')
Text(0.5, 1.0, 'dist2')

Kaggle | IEEE Fraud Detection(EDA)

We can see that most of the values for these two characteristics are zero, and there are a few other values lie scattered.

3.4 Emails

# email

fig,ax=plt.subplots(1,3,figsize=(26,10))
sns.countplot(y="P_emaildomain",ax=ax[0],data=train)
ax[0].set_title("P_emaildomain",fontsize=14)
sns.countplot(y="P_emaildomain",ax=ax[1],data=train.loc[train['isFraud']==1])
ax[1].set_title("P_emaildomain isFraud==1",fontsize=14)
sns.countplot(y="P_emaildomain",ax=ax[2],data=train.loc[train['isFraud']==0])
ax[2].set_title("P_emaildomain isFraud==0",fontsize=14)
fig,ax=plt.subplots(1,3,figsize=(26,10))
sns.countplot(y="R_emaildomain",ax=ax[0],data=train)
ax[0].set_title("R_emaildomain",fontsize=14)
sns.countplot(y="R_emaildomain",ax=ax[1],data=train.loc[train['isFraud']==1])
ax[1].set_title("R_emaildomain isFraud==1",fontsize=14)
sns.countplot(y="R_emaildomain",ax=ax[2],data=train.loc[train['isFraud']==0])
ax[2].set_title("R_emaildomain isFraud==0",fontsize=14)
Text(0.5, 1.0, 'R_emaildomain isFraud==0')

Kaggle | IEEE Fraud Detection(EDA)

Kaggle | IEEE Fraud Detection(EDA)

3.5 C/D/M/V columns

These features are numerous in the dataset, up to hundreds. However, we can not infer their actual meaning by the column names only. So we process a basic visual chart to see what’s going on in these columns.

# C columns

c_cols = [c for c in train if c[0] == 'C']
sampled_train = pd.concat([train.loc[train['isFraud'] == 0].sample(1000),
          train.loc[train['isFraud'] == 1].sample(1000)])
sns.pairplot(sampled_train, hue='isFraud',vars=c_cols)
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

# D columns

d_cols = [c for c in train if c[0] == 'D']
sampled_train = pd.concat([train.loc[train['isFraud'] == 0].sample(1000),
          train.loc[train['isFraud'] == 1].sample(1000)])
sns.pairplot(sampled_train, hue='isFraud',vars=c_cols)
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

fig,ax=plt.subplots(1,3,figsize=(18,8))
sns.countplot(x="M1", ax=ax[0], hue = "isFraud", data=train)
ax[0].set_title('M1', fontsize=14)
sns.countplot(x="M2", ax=ax[1], hue = "isFraud", data=train)
ax[1].set_title('M2', fontsize=14)
sns.countplot(x="M3", ax=ax[2], hue = "isFraud", data=train)
ax[2].set_title('M3', fontsize=14)
fig,ax=plt.subplots(1,3,figsize=(18,8))
sns.countplot(x="M4", ax=ax[0], hue = "isFraud", data=train)
ax[0].set_title('M4', fontsize=14)
sns.countplot(x="M5", ax=ax[1], hue = "isFraud", data=train)
ax[1].set_title('M5', fontsize=14)
sns.countplot(x="M6", ax=ax[2], hue = "isFraud", data=train)
ax[2].set_title('M6', fontsize=14)
fig,ax=plt.subplots(1,3,figsize=(18,8))
sns.countplot(x="M7", ax=ax[0], hue = "isFraud", data=train)
ax[0].set_title('M7', fontsize=14)
sns.countplot(x="M8", ax=ax[1], hue = "isFraud", data=train)
ax[1].set_title('M8', fontsize=14)
sns.countplot(x="M9", ax=ax[2], hue = "isFraud", data=train)
ax[2].set_title('M9', fontsize=14)
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

Kaggle | IEEE Fraud Detection(EDA)

Kaggle | IEEE Fraud Detection(EDA)

v_cols = [c for c in train if c[0] == 'V']
train['v_mean']=train[v_cols].mean(axis=1)
fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(15, 6))
train.loc[train['isFraud'] == 1]['v_mean'].sample(10000) \
    .apply(np.log) \
    .plot(kind='hist',bins=339,title='log transformed mean of V columns - Fraud',ax=ax1)
train.loc[train['isFraud'] == 0]['v_mean'].sample(10000) \
    .apply(np.log) \
    .plot(kind='hist',bins=339,title='log transformed mean of V columns - Not Fraud',ax=ax2)
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

3.6 Device type

# device type

train.groupby('DeviceType') \
    .mean()['isFraud'] \
    .sort_values() \
    .plot(kind='barh',figsize=(15, 5),title='Percentage of Fraud by Device Type')
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

# device info

train.groupby('DeviceInfo') \
    .mean()['isFraud']\
    .sort_values()\
    .plot(kind='barh',figsize=(10,60),title='Percentage of Fraud by Device Info',fontsize=10)
plt.show()

Kaggle | IEEE Fraud Detection(EDA)

We can see that the precentage of fraud with different devices may vary a lot. This may contain important information.

Finally, let’s look at the correlation of these variables visually, some features may just contain same information, so it will be inefficient for us to build the models with all the features.

col=['isFraud','TransactionAmt','C1','C2','C3','C4','C5','C6','C7','C8','C9','C10','C11','C12','C13','C14',
     'D1','D2','D3','D4','D5','D6','D7','D8','D9','D10','D11','D12','D13','D14','D15',
    'V126','V127','V128','V129','V130','V131','V132','V133','V134','V135','V136','V137']
data_corr=train[col]
corrmat=data_corr.corr()
plt.subplots(figsize=(18,18))
sns.heatmap(corrmat,vmax=0.9,square=True)
<matplotlib.axes._subplots.AxesSubplot at 0x2f8d84190b8>

Kaggle | IEEE Fraud Detection(EDA)

We can see that the features in the same types (For example, with same initial) have strong correlation, the features in different types may be not so relevant.

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