如何在numpy数组中找到最近的值?例子:
np.find_nearest(array, value)
如何在numpy数组中找到最近的值?例子:
np.find_nearest(array, value)
当前回答
如果你的数组已经排序并且非常大,这是一个更快的解决方案:
def find_nearest(array,value):
idx = np.searchsorted(array, value, side="left")
if idx > 0 and (idx == len(array) or math.fabs(value - array[idx-1]) < math.fabs(value - array[idx])):
return array[idx-1]
else:
return array[idx]
这可以扩展到非常大的阵列。如果不能假定数组已经排序,可以很容易地修改上面的内容以在方法中排序。对于小型数组来说,这是多余的,但一旦它们变大,这就快得多了。
其他回答
下面是一个处理非标量“values”数组的版本:
import numpy as np
def find_nearest(array, values):
indices = np.abs(np.subtract.outer(array, values)).argmin(0)
return array[indices]
如果输入是标量,则返回数字类型(例如int, float)的版本:
def find_nearest(array, values):
values = np.atleast_1d(values)
indices = np.abs(np.subtract.outer(array, values)).argmin(0)
out = array[indices]
return out if len(out) > 1 else out[0]
下面是@Ari Onasafari的scipy版本,回答“在向量数组中找到最近的向量”
In [1]: from scipy import spatial
In [2]: import numpy as np
In [3]: A = np.random.random((10,2))*100
In [4]: A
Out[4]:
array([[ 68.83402637, 38.07632221],
[ 76.84704074, 24.9395109 ],
[ 16.26715795, 98.52763827],
[ 70.99411985, 67.31740151],
[ 71.72452181, 24.13516764],
[ 17.22707611, 20.65425362],
[ 43.85122458, 21.50624882],
[ 76.71987125, 44.95031274],
[ 63.77341073, 78.87417774],
[ 8.45828909, 30.18426696]])
In [5]: pt = [6, 30] # <-- the point to find
In [6]: A[spatial.KDTree(A).query(pt)[1]] # <-- the nearest point
Out[6]: array([ 8.45828909, 30.18426696])
#how it works!
In [7]: distance,index = spatial.KDTree(A).query(pt)
In [8]: distance # <-- The distances to the nearest neighbors
Out[8]: 2.4651855048258393
In [9]: index # <-- The locations of the neighbors
Out[9]: 9
#then
In [10]: A[index]
Out[10]: array([ 8.45828909, 30.18426696])
如果你有很多值需要搜索(值可以是多维数组),下面是@Dimitri的快速向量化解决方案:
# `values` should be sorted
def get_closest(array, values):
# make sure array is a numpy array
array = np.array(array)
# get insert positions
idxs = np.searchsorted(array, values, side="left")
# find indexes where previous index is closer
prev_idx_is_less = ((idxs == len(array))|(np.fabs(values - array[np.maximum(idxs-1, 0)]) < np.fabs(values - array[np.minimum(idxs, len(array)-1)])))
idxs[prev_idx_is_less] -= 1
return array[idxs]
基准
>使用@Demitri的解决方案比使用for循环快100倍”
>>> %timeit ar=get_closest(np.linspace(1, 1000, 100), np.random.randint(0, 1050, (1000, 1000)))
139 ms ± 4.04 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)
>>> %timeit ar=[find_nearest(np.linspace(1, 1000, 100), value) for value in np.random.randint(0, 1050, 1000*1000)]
took 21.4 seconds
这是unutbu答案的矢量化版本:
def find_nearest(array, values):
array = np.asarray(array)
# the last dim must be 1 to broadcast in (array - values) below.
values = np.expand_dims(values, axis=-1)
indices = np.abs(array - values).argmin(axis=-1)
return array[indices]
image = plt.imread('example_3_band_image.jpg')
print(image.shape) # should be (nrows, ncols, 3)
quantiles = np.linspace(0, 255, num=2 ** 2, dtype=np.uint8)
quantiled_image = find_nearest(quantiles, image)
print(quantiled_image.shape) # should be (nrows, ncols, 3)
如果你的数组已经排序并且非常大,这是一个更快的解决方案:
def find_nearest(array,value):
idx = np.searchsorted(array, value, side="left")
if idx > 0 and (idx == len(array) or math.fabs(value - array[idx-1]) < math.fabs(value - array[idx])):
return array[idx-1]
else:
return array[idx]
这可以扩展到非常大的阵列。如果不能假定数组已经排序,可以很容易地修改上面的内容以在方法中排序。对于小型数组来说,这是多余的,但一旦它们变大,这就快得多了。