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

我认为最python的方式是:

 num = 65 # Input number
 array = np.random.random((10))*100 # Given array 
 nearest_idx = np.where(abs(array-num)==abs(array-num).min())[0] # If you want the index of the element of array (array) nearest to the the given number (num)
 nearest_val = array[abs(array-num)==abs(array-num).min()] # If you directly want the element of array (array) nearest to the given number (num)

这是基本代码。你可以把它作为一个函数来使用

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

下面是一个使用2D数组的版本,如果用户拥有scipy的cdist函数,则使用它,如果用户没有,则使用更简单的距离计算。

默认情况下,输出是最接近输入值的索引,但您可以使用output关键字将其更改为'index', 'value'或'both'之一,其中'value'输出数组[index], 'both'输出索引,数组[index]。

对于非常大的数组,您可能需要使用kind='euclidean',因为默认的scipy cdist函数可能会耗尽内存。

这可能不是绝对最快的解决方案,但已经很接近了。

def find_nearest_2d(array, value, kind='cdist', output='index'):
    # 'array' must be a 2D array
    # 'value' must be a 1D array with 2 elements
    # 'kind' defines what method to use to calculate the distances. Can choose one
    #    of 'cdist' (default) or 'euclidean'. Choose 'euclidean' for very large
    #    arrays. Otherwise, cdist is much faster.
    # 'output' defines what the output should be. Can be 'index' (default) to return
    #    the index of the array that is closest to the value, 'value' to return the
    #    value that is closest, or 'both' to return index,value
    import numpy as np
    if kind == 'cdist':
        try: from scipy.spatial.distance import cdist
        except ImportError:
            print("Warning (find_nearest_2d): Could not import cdist. Reverting to simpler distance calculation")
            kind = 'euclidean'
    index = np.where(array == value)[0] # Make sure the value isn't in the array
    if index.size == 0:
        if kind == 'cdist': index = np.argmin(cdist([value],array)[0])
        elif kind == 'euclidean': index = np.argmin(np.sum((np.array(array)-np.array(value))**2.,axis=1))
        else: raise ValueError("Keyword 'kind' must be one of 'cdist' or 'euclidean'")
    if output == 'index': return index
    elif output == 'value': return array[index]
    elif output == 'both': return index,array[index]
    else: raise ValueError("Keyword 'output' must be one of 'index', 'value', or 'both'")

这是在向量数组中找到最近向量的扩展。

import numpy as np

def find_nearest_vector(array, value):
  idx = np.array([np.linalg.norm(x+y) for (x,y) in array-value]).argmin()
  return array[idx]

A = np.random.random((10,2))*100
""" A = array([[ 34.19762933,  43.14534123],
   [ 48.79558706,  47.79243283],
   [ 38.42774411,  84.87155478],
   [ 63.64371943,  50.7722317 ],
   [ 73.56362857,  27.87895698],
   [ 96.67790593,  77.76150486],
   [ 68.86202147,  21.38735169],
   [  5.21796467,  59.17051276],
   [ 82.92389467,  99.90387851],
   [  6.76626539,  30.50661753]])"""
pt = [6, 30]  
print find_nearest_vector(A,pt)
# array([  6.76626539,  30.50661753])