我有一个 numpy 数组,其中大部分填充了实数,但其中也有一些nan
值。
如何nan
用它们所在的列的平均值替换 s?
无需循环:
print(a)
[[ 0.93230948 nan 0.47773439 0.76998063]
[ 0.94460779 0.87882456 0.79615838 0.56282885]
[ 0.94272934 0.48615268 0.06196785 nan]
[ 0.64940216 0.74414127 nan nan]]
#Obtain mean of columns as you need, nanmean is convenient.
col_mean = np.nanmean(a, axis=0)
print(col_mean)
[ 0.86726219 0.7030395 0.44528687 0.66640474]
#Find indices that you need to replace
inds = np.where(np.isnan(a))
#Place column means in the indices. Align the arrays using take
a[inds] = np.take(col_mean, inds[1])
print(a)
[[ 0.93230948 0.7030395 0.47773439 0.76998063]
[ 0.94460779 0.87882456 0.79615838 0.56282885]
[ 0.94272934 0.48615268 0.06196785 0.66640474]
[ 0.64940216 0.74414127 0.44528687 0.66640474]]
仅使用 numpy 执行此操作的标准方法是使用掩码数组模块。
Scipy 是一个非常重的包,它依赖于外部库,因此值得拥有一个仅限 numpy 的方法。这借鉴了@DonaldHobson 的回答。
编辑: np.nanmean
现在是一个 numpy 函数。但是,它不处理全南列......
假设你有一个数组a
:
>>> a
array([[ 0., nan, 10., nan],
[ 1., 6., nan, nan],
[ 2., 7., 12., nan],
[ 3., 8., nan, nan],
[ nan, 9., 14., nan]])
>>> import numpy.ma as ma
>>> np.where(np.isnan(a), ma.array(a, mask=np.isnan(a)).mean(axis=0), a)
array([[ 0. , 7.5, 10. , 0. ],
[ 1. , 6. , 12. , 0. ],
[ 2. , 7. , 12. , 0. ],
[ 3. , 8. , 12. , 0. ],
[ 1.5, 9. , 14. , 0. ]])
请注意,掩码数组的均值不需要与 具有相同的形状a
,因为我们正在利用行上的隐式广播。
还要注意如何很好地处理 all-nan 列。平均值为零,因为您取的是零元素的平均值。using 的方法nanmean
不处理所有 nan 列:
>>> col_mean = np.nanmean(a, axis=0)
/home/praveen/.virtualenvs/numpy3-mkl/lib/python3.4/site-packages/numpy/lib/nanfunctions.py:675: RuntimeWarning: Mean of empty slice
warnings.warn("Mean of empty slice", RuntimeWarning)
>>> inds = np.where(np.isnan(a))
>>> a[inds] = np.take(col_mean, inds[1])
>>> a
array([[ 0. , 7.5, 10. , nan],
[ 1. , 6. , 12. , nan],
[ 2. , 7. , 12. , nan],
[ 3. , 8. , 12. , nan],
[ 1.5, 9. , 14. , nan]])
解释
转换a
为掩码数组可为您提供
>>> ma.array(a, mask=np.isnan(a))
masked_array(data =
[[0.0 -- 10.0 --]
[1.0 6.0 -- --]
[2.0 7.0 12.0 --]
[3.0 8.0 -- --]
[-- 9.0 14.0 --]],
mask =
[[False True False True]
[False False True True]
[False False False True]
[False False True True]
[ True False False True]],
fill_value = 1e+20)
对列取平均值会给你正确的答案,只对非屏蔽值进行归一化:
>>> ma.array(a, mask=np.isnan(a)).mean(axis=0)
masked_array(data = [1.5 7.5 12.0 --],
mask = [False False False True],
fill_value = 1e+20)
此外,请注意掩码如何很好地处理all-nan列!
最后,np.where
完成更换工作。
逐行均值
要nan
使用逐行平均值而不是逐列平均值替换值,需要对广播进行微小的更改才能很好地生效:
>>> a
array([[ 0., 1., 2., 3., nan],
[ nan, 6., 7., 8., 9.],
[ 10., nan, 12., nan, 14.],
[ nan, nan, nan, nan, nan]])
>>> np.where(np.isnan(a), ma.array(a, mask=np.isnan(a)).mean(axis=1), a)
ValueError: operands could not be broadcast together with shapes (4,5) (4,) (4,5)
>>> np.where(np.isnan(a), ma.array(a, mask=np.isnan(a)).mean(axis=1)[:, np.newaxis], a)
array([[ 0. , 1. , 2. , 3. , 1.5],
[ 7.5, 6. , 7. , 8. , 9. ],
[ 10. , 12. , 12. , 12. , 14. ],
[ 0. , 0. , 0. , 0. , 0. ]])
如果partial是您的原始数据,并且replace是包含平均值的相同形状的数组,则此代码将使用 partial 中的值(如果存在)。
Complete= np.where(np.isnan(partial),replace,partial)
替代方法:用列插值替换 NaN。
def interpolate_nans(X):
"""Overwrite NaNs with column value interpolations."""
for j in range(X.shape[1]):
mask_j = np.isnan(X[:,j])
X[mask_j,j] = np.interp(np.flatnonzero(mask_j), np.flatnonzero(~mask_j), X[~mask_j,j])
return X
示例使用:
X_incomplete = np.array([[10, 20, 30 ],
[np.nan, 30, np.nan],
[np.nan, np.nan, 50 ],
[40, 50, np.nan ]])
X_complete = interpolate_nans(X_incomplete)
print X_complete
[[10, 20, 30 ],
[20, 30, 40 ],
[30, 40, 50 ],
[40, 50, 50 ]]
我特别将这段代码用于时间序列数据,其中列是属性,行是按时间排序的样本。
这不是很干净,但我想不出除了迭代之外的方法
#example
a = np.arange(16, dtype = float).reshape(4,4)
a[2,2] = np.nan
a[3,3] = np.nan
indices = np.where(np.isnan(a)) #returns an array of rows and column indices
for row, col in zip(*indices):
a[row,col] = np.mean(a[~np.isnan(a[:,col]), col])
为了扩展唐纳德的答案,我提供了一个最小的例子。假设a
是一个 ndarray,我们想用列的平均值替换它的零值。
In [231]: a
Out[231]:
array([[0, 3, 6],
[2, 0, 0]])
In [232]: col_mean = np.nanmean(a, axis=0)
Out[232]: array([ 1. , 1.5, 3. ])
In [228]: np.where(np.equal(a, 0), col_mean, a)
Out[228]:
array([[ 1. , 3. , 6. ],
[ 2. , 1.5, 3. ]])
使用带有循环的简单函数:
a=[[0.93230948, np.nan, 0.47773439, 0.76998063],
[0.94460779, 0.87882456, 0.79615838, 0.56282885],
[0.94272934, 0.48615268, 0.06196785, np.nan],
[0.64940216, 0.74414127, np.nan, np.nan],
[0.64940216, 0.74414127, np.nan, np.nan]]
print("------- original array -----")
for aa in a:
print(aa)
# GET COLUMN MEANS:
ta = np.array(a).T.tolist() # transpose the array;
col_means = list(map(lambda x: np.nanmean(x), ta)) # get means;
print("column means:", col_means)
# REPLACE NAN ENTRIES WITH COLUMN MEANS:
nrows = len(a); ncols = len(a[0]) # get number of rows & columns;
for r in range(nrows):
for c in range(ncols):
if np.isnan(a[r][c]):
a[r][c] = col_means[c]
print("------- means added -----")
for aa in a:
print(aa)
输出:
------- original array -----
[0.93230948, nan, 0.47773439, 0.76998063]
[0.94460779, 0.87882456, 0.79615838, 0.56282885]
[0.94272934, 0.48615268, 0.06196785, nan]
[0.64940216, 0.74414127, nan, nan]
[0.64940216, 0.74414127, nan, nan]
column means: [0.82369018599999999, 0.71331494500000003, 0.44528687333333333, 0.66640474000000005]
------- means added -----
[0.93230948, 0.71331494500000003, 0.47773439, 0.76998063]
[0.94460779, 0.87882456, 0.79615838, 0.56282885]
[0.94272934, 0.48615268, 0.06196785, 0.66640474000000005]
[0.64940216, 0.74414127, 0.44528687333333333, 0.66640474000000005]
[0.64940216, 0.74414127, 0.44528687333333333, 0.66640474000000005]
for 循环也可以用列表推导式编写:
new_a = [[col_means[c] if np.isnan(a[r][c]) else a[r][c]
for c in range(ncols) ]
for r in range(nrows) ]
你可能想试试这个内置功能:
x = np.array([np.inf, -np.inf, np.nan, -128, 128])
np.nan_to_num(x)
array([ 1.79769313e+308, -1.79769313e+308, 0.00000000e+000,
-1.28000000e+002, 1.28000000e+002])