给定一个一维下标数组:
a = array([1, 0, 3])
我想把它编码成一个2D数组:
b = array([[0,1,0,0], [1,0,0,0], [0,0,0,1]])
给定一个一维下标数组:
a = array([1, 0, 3])
我想把它编码成一个2D数组:
b = array([[0,1,0,0], [1,0,0,0], [0,0,0,1]])
当前回答
这是一个与维度无关的独立解决方案。
这将把任何非负整数的N维数组arr转换为一个N+1维数组one_hot,其中one_hot[i_1,…,i_N,c] = 1表示arr[i_1,…,i_N] = c.可以通过np恢复输入。argmax (one_hot, 1)
def expand_integer_grid(arr, n_classes):
"""
:param arr: N dim array of size i_1, ..., i_N
:param n_classes: C
:returns: one-hot N+1 dim array of size i_1, ..., i_N, C
:rtype: ndarray
"""
one_hot = np.zeros(arr.shape + (n_classes,))
axes_ranges = [range(arr.shape[i]) for i in range(arr.ndim)]
flat_grids = [_.ravel() for _ in np.meshgrid(*axes_ranges, indexing='ij')]
one_hot[flat_grids + [arr.ravel()]] = 1
assert((one_hot.sum(-1) == 1).all())
assert(np.allclose(np.argmax(one_hot, -1), arr))
return one_hot
其他回答
下面是一个将一维向量转换为二维单热数组的函数。
#!/usr/bin/env python
import numpy as np
def convertToOneHot(vector, num_classes=None):
"""
Converts an input 1-D vector of integers into an output
2-D array of one-hot vectors, where an i'th input value
of j will set a '1' in the i'th row, j'th column of the
output array.
Example:
v = np.array((1, 0, 4))
one_hot_v = convertToOneHot(v)
print one_hot_v
[[0 1 0 0 0]
[1 0 0 0 0]
[0 0 0 0 1]]
"""
assert isinstance(vector, np.ndarray)
assert len(vector) > 0
if num_classes is None:
num_classes = np.max(vector)+1
else:
assert num_classes > 0
assert num_classes >= np.max(vector)
result = np.zeros(shape=(len(vector), num_classes))
result[np.arange(len(vector)), vector] = 1
return result.astype(int)
下面是一些用法示例:
>>> a = np.array([1, 0, 3])
>>> convertToOneHot(a)
array([[0, 1, 0, 0],
[1, 0, 0, 0],
[0, 0, 0, 1]])
>>> convertToOneHot(a, num_classes=10)
array([[0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0]])
为了详细说明K3—rnc的优秀答案,这里有一个更通用的版本:
def onehottify(x, n=None, dtype=float):
"""1-hot encode x with the max value n (computed from data if n is None)."""
x = np.asarray(x)
n = np.max(x) + 1 if n is None else n
return np.eye(n, dtype=dtype)[x]
此外,这里是这个方法的快速和粗略的基准测试,以及YXD目前接受的答案(略有更改,以便他们提供相同的API,除了后者只适用于1D ndarray):
def onehottify_only_1d(x, n=None, dtype=float):
x = np.asarray(x)
n = np.max(x) + 1 if n is None else n
b = np.zeros((len(x), n), dtype=dtype)
b[np.arange(len(x)), x] = 1
return b
后一种方法快35% (MacBook Pro 13 2015),但前一种更通用:
>>> import numpy as np
>>> np.random.seed(42)
>>> a = np.random.randint(0, 9, size=(10_000,))
>>> a
array([6, 3, 7, ..., 5, 8, 6])
>>> %timeit onehottify(a, 10)
188 µs ± 5.03 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)
>>> %timeit onehottify_only_1d(a, 10)
139 µs ± 2.78 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)
>>> values = [1, 0, 3]
>>> n_values = np.max(values) + 1
>>> np.eye(n_values)[values]
array([[ 0., 1., 0., 0.],
[ 1., 0., 0., 0.],
[ 0., 0., 0., 1.]])
以下是我认为有用的方法:
def one_hot(a, num_classes):
return np.squeeze(np.eye(num_classes)[a.reshape(-1)])
这里num_classes表示您拥有的类的数量。如果你有一个形状为(10000,)的向量,这个函数将它转换为(10000,C)注意,a是零索引,即one_hot(np。数组([0,1]),2)将给出[[1,0],[0,1]]。
我相信这正是你想要的。
PS:源代码是Sequence models - deeplearning.ai
我添加了一个简单的补全函数,只使用numpy操作符:
def probs_to_onehot(output_probabilities):
argmax_indices_array = np.argmax(output_probabilities, axis=1)
onehot_output_array = np.eye(np.unique(argmax_indices_array).shape[0])[argmax_indices_array.reshape(-1)]
return onehot_output_array
它以一个概率矩阵作为输入:例如:
[[0.03038822 0.65810204 0.16549407 0.3797123] . [0.02771272 0.2760752 0.3280924 0.33458805]
它会返回
[[0 0 0 0]... [0 0 0 1]