Titanic是kaggle上的一道just for fun的题,没有奖金,但是数据整洁,拿来练手最好不过啦。
这道题给的数据是泰坦尼克号上的乘客的信息,预测乘客是否幸存。这是个二元分类的机器学习问题,但是由于数据样本相对较少,在当时慌乱的情况下幸存者有一定的随机性,还是有一定挑战的。https://www.kaggle.com/c/titanic-gettingStarted/
一 载入数据
首先,我们要先看一看数据,分析数据的一些较为直观的特征。代码使用numpy pandas和scikit-learn。
import numpy as np
import pandas as pd
#read data from train.csv
df = pd.read_csv('train.csv',header=0)
df.info()
read_csv函数读入csv文件返回一个DataFrame对象,每一列都依据读入的数据确定其类型,int64 object诸如此类。df.info()显示原始数据属性的基本信息,df.describe()则显示属性的一些统计信息,比如均值 方差等。
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" 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" alt="" width="528" height="293" />
ps:Pclass属性代表船舱等级,1-一等舱,2-二等舱,3-三等舱,从一定程度上反应了这个乘客经济情况和社会地位。
从基本的数据信息可以看到,Age Carbin Emarked属性有缺失值,需要后续处理;有5个属性是字符串类型的,而sklearn只能处理数字类型的数据,如果不用这些属性显然会丢掉一些可能有价值的信息,所以需要用一定的方法将这些值转为数据。从统计数据中可以看出,有38.3%的幸存率。一般来讲,女性 孩子和高社会阶层的人更有可能幸存下来,可以用代码分析一下这个假设成不成立。
对于女性幸存率:
x=[df[(df.Sex=='male')]['Sex'].size,df[(df.Sex=='female')]['Sex'].size]
y=[df[(df.Sex=='male') & (df.Survived == 1)]['Sex'].size,\
df[(df.Sex=='female') & (df.Survived == 1)]['Sex'].size]
print 'male number:'+str(x[0])+' '+'female number:'+str(x[1])
print 'male survive:'+str(y[0])+' '+'female survive:'+str(y[1])
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" alt="" width="595" height="50" />可以看出75%的女性幸存。
对于Age和Pclass分析也得到相近的结果。
二 缺失值处理
一些机器学习算法能够处理缺失值,比如神经网络,一些则不能。对于缺失值,一般有以下几种处理方法:
(1)如果数据集很多,但有很少的缺失值,可以删掉带缺失值的行
(2)如果该属性相对学习来说不是很重要,可以对缺失值赋均值或者众数。比如在哪儿上船Embarked这一属性(共有三个上船地点),缺失俩值,可以用众数赋值
#replace missing values with mode
df.Embarked[df.Embarked.isnull()] = df.Embarked.dropna().mode().values
(3)对于标称属性,可以赋一个代表缺失的值,比如‘U0’。因为缺失本身也可能代表着一些隐含信息。比如船舱号Cabin这一属性,缺失可能代表并没有船舱。
#replace missing value with U0
df.Cabin[df.Cabin.isnull()]='U0'
(4)使用回归 随机森林等模型来预测缺失属性的值。因为年龄在该数据集里是一个相当重要的特征,所以保证一定的缺失值填充准确率是非常重要的,对结果也会产生较大影响。一般情况下,会使用数据完整的条目作为模型的训练集,以此来预测缺失值。对于当前的这个数据,可以使用随机森林来预测也可以使用线性回归预测。我使用的是随机森林预测模型,选取当期数据集中的数值属性作为特征(因为sklearn的模型只能处理数值属性阿,当然后面会把其他属性都处理成数值属性,然后就可以更新这块预测年龄的代码啦)。
#choose training data to predict age
age_df = df[['Age','Survived','Fare', 'Parch', 'SibSp', 'Pclass']]
age_df_notnull = age_df.loc[(df.Age.notnull())]
age_df_isnull = age_df.loc[(df.Age.isnull())]
X = age_df_notnull.values[:,1:]
Y = age_df_notnull.values[:,0]
#use RandomForestRegressor to train data
rfr = RandomForestRegressor(n_estimators=1000,n_jobs=-1)
rfr.fit(X,Y)
predictAges = rfr.predict(age_df_isnull.values[:,1:])
df.loc[(df.Age.isnull()),'Age'] = predictAges
完整代码: https://github.com/cindycindyhi/kaggle-Titanic
特征工程系列: