Files
2026-07-13 13:30:25 +08:00

40 lines
1.0 KiB
Python
Executable File

import numpy as np
from prml.nn.tensor.constant import Constant
from prml.nn.tensor.tensor import Tensor
from prml.nn.function import Function
class Softmax(Function):
def __init__(self, axis=-1):
if not isinstance(axis, int):
raise TypeError("axis must be int")
self.axis = axis
def _softmax(self, array):
y = array - np.max(array, self.axis, keepdims=True)
np.exp(y, out=y)
y /= y.sum(self.axis, keepdims=True)
return y
def forward(self, x):
x = self._convert2tensor(x)
self.x = x
self.output = self._softmax(x.value)
if isinstance(x, Constant):
return Constant(self.output)
return Tensor(self.output, function=self)
def backward(self, delta):
dx = self.output * delta
dx -= self.output * dx.sum(self.axis, keepdims=True)
self.x.backward(dx)
def softmax(x, axis=-1):
"""
softmax function along specified axis
y_k = exp(x_k) / sum_i(exp(x_i))
"""
return Softmax(axis=axis).forward(x)