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python如何去除异常值和缺失值的插值

发布于:2022-01-28 10:40:02  栏目:技术文档

python如何去除异常值和缺失值的插值

1.使用箱型法去除异常值:

  1. import numpy as np
  2. import pandas as pd
  3. import matplotlib as plt
  4. import os
  5. data = pd.read_excel('try.xls', header=0)
  6. # print(data.shape)
  7. # print(data.head(10))
  8. # print(data.describe())
  9. neg_list = ['位移']
  10. print("(1)数据的行数为:")
  11. R = data.shape[0]
  12. print(R)
  13. print("(2)小于或大于阈值的数据提取:")
  14. for item in neg_list:
  15. neg_item = data[item]<2000
  16. print(item + '小于2000的有' + str(neg_item.sum()) + '个')
  17. print("(3)异常值的个数:")
  18. for item in neg_list:
  19. iqr = data[item].quantile(0.75) - data[item].quantile(0.25)
  20. q_abnormal_L = data[item] < data[item].quantile(0.25) - 1.5 * iqr
  21. q_abnormal_U = data[item] > data[item].quantile(0.75) + 1.5 * iqr
  22. print(item + '中有' + str(q_abnormal_L.sum() + q_abnormal_U.sum()) + '个异常值')
  23. print("(4)箱型图确定上下限:")
  24. for item in neg_list:
  25. iqr = data[item].quantile(0.75) - data[item].quantile(0.25)
  26. Too_small = data[item].quantile(0.25) - 1.5 * iqr
  27. Too_big = data[item].quantile(0.25) + 1.5 * iqr
  28. print("下限是", Too_small)
  29. print("上限是", Too_big )
  30. print("(5)所有数据为:")
  31. a = []
  32. for i in neg_list:
  33. a.append(data[i])
  34. print(a)
  35. print("(6)所有正常数据:")
  36. b = []
  37. j = 0
  38. while j < R:
  39. if (a[0][j] > Too_small):
  40. if (a[0][j] < Too_big):
  41. b.append(a[0][j])
  42. j += 1
  43. print(b)
  44. print("(7)所有异常数据:")
  45. c = []
  46. i = 0
  47. while i < R:
  48. if (a[0][i] < Too_small or a[0][i] > Too_big):
  49. c.append(a[0][i])
  50. a[0][i] = None
  51. i +=1
  52. print(c)
  53. print("(8)把所有异常数据删除后:")
  54. print(a)
  55. print("(9)所有数据处理后输出:")
  56. d = []
  57. k = 0
  58. while k < R:
  59. d.append(a[0][k])
  60. k +=1
  61. print(d)
  62. df = pd.DataFrame(d,columns= ['位移'])
  63. df.to_excel("try_result.xls")

2.拉格朗日插值:

  1. import os
  2. import pandas as pd
  3. import numpy as np
  4. from scipy.interpolate import lagrange
  5. import matplotlib.pyplot as plt
  6. plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签
  7. plt.rcParams['axes.unicode_minus']=False #用来正常显示负号
  8. # 数据的读取
  9. data = pd.read_excel('try.xls', header=0)
  10. neg_list = ['位移']
  11. # 数据的行数
  12. R = data.shape[0]
  13. # 异常数据的个数
  14. for item in neg_list:
  15. iqr = data[item].quantile(0.75) - data[item].quantile(0.25)
  16. q_abnormal_L = data[item] < data[item].quantile(0.25) - 1.5 * iqr
  17. q_abnormal_U = data[item] > data[item].quantile(0.75) + 1.5 * iqr
  18. # print(item + '中有' + str(q_abnormal_L.sum() + q_abnormal_U.sum()) + '个异常值')
  19. # 确定数据上限和下限
  20. for item in neg_list:
  21. iqr = data[item].quantile(0.75) - data[item].quantile(0.25)
  22. Too_small = data[item].quantile(0.25) - 1.5 * iqr
  23. Too_big = data[item].quantile(0.25) + 1.5 * iqr
  24. data[u'位移'][(data[u'位移']<Too_small) | (data[u'位移']>Too_big)] = None #过滤异常值,将其变为空值
  25. #s为列向量,n为被插值位置,k为取前后的数据个数
  26. def ployinter(s,n,k=5):
  27. y = s[list(range(n-k,n)) + list(range(n+1,n+1+k))]
  28. y = y[y.notnull()] #剔除空值
  29. return lagrange(y.index,list(y))(n)
  30. #逐个元素判断是否需要插值
  31. for i in data.columns:
  32. for j in range(len(data)):
  33. if(data[i].isnull())[j]:
  34. data[i][j] = ployinter(data[i],j)
  35. # print(data[u'位移'])
  36. # 输出拉格朗日插值后的数据
  37. data.to_excel("try_result.xls")
  38. # 把表格列数据调整为arr,arr为修改后的数据
  39. print("拉格朗日插值后的数据:")
  40. d = []
  41. k = 0
  42. while k < R:
  43. d.append(data[u'位移'][k])
  44. k +=1
  45. # print(d)
  46. arr = np.array(d)
  47. print(arr)
  48. # 输出图像
  49. x = np.arange(len(d))
  50. plt.plot(x,d,'b-',label="one", marker='*',markersize=4,linewidth=1) # b代表blue颜色 -代表直线
  51. plt.title('位移曲线')
  52. plt.legend(loc='upper left',bbox_to_anchor=(1.0,1.0))
  53. # 直接更改X轴坐标数
  54. # plt.xticks((0,1,2,3,4,5,6,7,8),('0', '1', '2', '3', '4', '5', '6', '7', '8'))
  55. plt.xlabel('时间/h')
  56. plt.ylabel('位移/mm')
  57. #plt.grid(x1)
  58. plt.show

import numpy as npimport pandas as pdimport matplotlib.pyplot as pltfrom scipy.optimize import leastsq

def Fun(p, x): # 定义拟合函数形式 a1, a2, a3 , a4 = p return a1 x ** 3 + a2 x * 2 + a3 x + a4

def error(p, x, y): # 拟合残差 return Fun(p, x) - y

def main(): x = np.linspace(1, 31, 31) # 创建时间序列 data = pd.read_excel(‘try.xls’, header=0) y = data[u’位移’] p0 = [0.1, -0.01, 100, 1000] # 拟合的初始参数设置 para = leastsq(error, p0, args=(x, y)) # 进行拟合 y_fitted = Fun(para[0], x) # 画出拟合后的曲线

  1. plt.figure
  2. plt.plot(x, y, 'r', label='Original curve')
  3. plt.plot(x, y_fitted, '-b', label='Fitted curve')
  4. plt.legend()
  5. plt.show()
  6. print(para[0])
  7. main()

import numpy as npimport pandas as pdimport matplotlib.pyplot as pltfrom scipy.optimize import leastsq

def Fun(p, x): # 定义拟合函数形式 a1, a2, a3 , a4 = p return a1 x ** 3 + a2 x * 2 + a3 x + a4

def error(p, x, y): # 拟合残差 return Fun(p, x) - y

def main(): x = np.linspace(1, 31, 31) # 创建时间序列 data = pd.read_excel(‘try.xls’, header=0) y = data[u’位移’] p0 = [0.1, -0.01, 100, 1000] # 拟合的初始参数设置 para = leastsq(error, p0, args=(x, y)) # 进行拟合 y_fitted = Fun(para[0], x) # 画出拟合后的曲线

  1. plt.figure
  2. plt.plot(x, y, 'r', label='Original curve')
  3. plt.plot(x, y_fitted, '-b', label='Fitted curve')
  4. plt.legend()
  5. plt.show()
  6. print(para[0])
  7. main()

3.数据拟合: import numpy as np import pandas as pd import matplotlib.pyplot as plt from scipy.optimize import leastsq

  1. def Fun(p, x): # 定义拟合函数形式
  2. a1, a2, a3 , a4 = p
  3. return a1 * x ** 3 + a2 * x ** 2 + a3 * x + a4
  4. def error(p, x, y): # 拟合残差
  5. return Fun(p, x) - y
  6. def main():
  7. x = np.linspace(1, 31, 31) # 创建时间序列
  8. data = pd.read_excel('try.xls', header=0)
  9. y = data[u'位移']
  10. p0 = [0.1, -0.01, 100, 1000] # 拟合的初始参数设置
  11. para = leastsq(error, p0, args=(x, y)) # 进行拟合
  12. y_fitted = Fun(para[0], x) # 画出拟合后的曲线
  13. plt.figure
  14. plt.plot(x, y, 'r', label='Original curve')
  15. plt.plot(x, y_fitted, '-b', label='Fitted curve')
  16. plt.legend()
  17. plt.show()
  18. print(para[0])
  19. if __name__ == '__main__':
  20. main()

4.输出图像: import pandas as pd

  1. import numpy as np
  2. import matplotlib.pyplot as plt
  3. plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签
  4. plt.rcParams['axes.unicode_minus']=False #用来正常显示负号
  5. jiaodu = ['0', '15', '30', '15', '60', '75', '90', '105', '120']
  6. x = range(len(jiaodu))
  7. y = [85.6801, 7.64586, 86.0956, 159.229, 179.534, 163.238, 96.4436, 10.1619, 90.9262,]
  8. #plt.figure(figsize=(10, 6))
  9. plt.plot(x,y,'b-',label="1", marker='*',markersize=7,linewidth=3) # b代表blue颜色 -代表直线
  10. plt.title('各个区域亮度变化')
  11. plt.legend(loc='upper left',bbox_to_anchor=(1.0,1.0))
  12. plt.xticks((0,1,2,3,4,5,6,7,8),('0', '15', '30', '15', '60', '75', '90', '105', '120'))
  13. plt.xlabel('角度')
  14. plt.ylabel('亮度')
  15. #plt.grid(x1)
  16. plt.show()

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