链式法则不仅适用于简单的两层神经网络，还可以扩展到具有任意多层结构的深度神经网络。这使得我们能够训练和优化更加复杂的模型。
This process is often as uncomplicated as updating a number of lines of code; it also can include An important overhaul that is definitely spread across various information with the code.
A backport is most often applied to address stability flaws in legacy computer software or more mature versions from the application that remain supported because of the developer.
隐藏层偏导数：使用链式法则，将输出层的偏导数向后传播到隐藏层。对于隐藏层中的每个神经元，计算其输出相对于下一层神经元输入的偏导数，并与下一层传回的偏导数相乘，累积得到该神经元对损失函数的总偏导数。
Backporting is a common method to handle a identified bug in the IT atmosphere. Concurrently, relying on a legacy codebase introduces other potentially substantial safety implications for organizations. Relying on aged or legacy code could lead to introducing weaknesses or vulnerabilities as part of your surroundings.
Just as an upstream computer software software influences all downstream programs, so as well backpr does a backport placed on the Main software. This is often also legitimate If your backport is applied inside the kernel.
Ascertain what patches, updates or modifications are offered to deal with this situation in later on variations of precisely the same program.
通过链式法则，我们可以从输出层开始，逐层向前计算每个参数的梯度，这种逐层计算的方式避免了重复计算，提高了梯度计算的效率。
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的基础了，但是很多人在学的时候总是会遇到一些问题，或者看到大篇的公式觉得好像很难就退缩了，其实不难，就是一个链式求导法则反复用。如果不想看公式，可以直接把数值带进去，实际的计算一下，体会一下这个过程之后再来推导公式，这样就会觉得很容易了。
链式法则是微积分中的一个基本定理，用于计算复合函数的导数。如果一个函数是由多个函数复合而成，那么该复合函数的导数可以通过各个简单函数导数的乘积来计算。
根据问题的类型，输出层可以直接输出这些值（回归问题），或者通过激活函数（如softmax）转换为概率分布（分类问题）。