或者二分类时的sigmoid，其实可以看成 softmax 的一种特殊情况），这个分母部分刚好可以被 softmax 层的导数（yi′部分）消除。实际上我从来没见过其他激活函数放在输出层接 cross entropy 做 cost function 的情况。Pluskid 大神有一篇文章很详细的解释了这个问题：Softmax vs. Softmax-
其实可以看成 softmax 的一种特殊情况），这个分母部分刚好可以被 softmax 层的导数（yi′部分）消除。
另一种常用的激活函数是双曲正切/tanh函数,通常表示为tanh函数。 参考来源:https://www.researchgate.net/figure/Example-2-The-comparison-between-the-numerical-solution-and-the-reference-solution-on_fig4_321482939(示例2的比较结果图表) 从代数的角度来看,这可以表示为: 这是通过CodeCogs(https://editor.code...
However, using the exponential function also brings challenges to training the neural work. For example, the exponential of an output value can be a very large number. When the number is used in further calculations (like during loss computation), it can lead to numerical instability due to th...
transpose(0,1)dim=1number_of_logits=input.size(dim)# Translate input by maxfornumerical stability input=input-torch.max(input,dim=dim,keepdim=True)[0].expand_as(input)# Sort inputindescending order.#(NOTE:Can be replacedwithlinear time selection method described here:# http://stanford.edu...
1|3Numerical Stability该模型使用指数函数,因而大数容易溢出,需要处理 数学原理aj=ezj∑Ni=1ezie−maxj(z)e−maxj(z)=ezj−maxj(z)∑Ni=1ezi−maxj(z)(3)(4)(3)aj=ezj∑i=1Nezie−maxj(z)e−maxj(z)(4)=ezj−maxj(z)∑i=1Nezi−maxj(z)...
import numpy as np def softmax(x): """ Compute softmax values for each set of scores in x. Args: x: Input array of shape (batch_size, num_classes) or (num_classes,) Returns: Softmax probabilities of same shape as input """ # For numerical stability, subtract the maximum value fr...
malfet added module: numerical-stability Problems related to numerical stability of operations triaged This issue has been looked at a team member, and triaged and prioritized into an appropriate module labels Feb 6, 2023 malfet self-assigned this Feb 6, 2023 Contributor malfet commented Feb ...
solution)。本节使用的线性回归和平方误差刚好属于这个范畴。然而,大多数深度学习模型并没有解析解,只能通过优化算法有限次迭代模型参数来尽可能降低损失函数的值。这类解叫作数值解(numerical solution)。 在求数值解的优化算法中,小批量随机梯度下降(mini-batch stochastic gradient descent)在深度学习中被广泛使用。它...
[4]:https://machinelearningmastery.com/softmax-activation-function-with-python/ [5]:http://freemind.pluskid.org/machine-learning/softmax-vs-softmax-loss-numerical-stability/ [6]:https://www.zhihu.com/question/358069078 [7]:https://jalammar.github.io/illustrated-transformer/ ...