技术取得了令人瞩目的成就，在图像识别、自然语言处理、语音识别等领域取得了突破性的进展。这些成就离不开大模型的快速发展。大模型是指参数量庞大的

反向传播算法利用链式法则，通过从输出层向输入层逐层计算误差梯度，高效求解神经网络参数的偏导数，以实现网络参数的优化和损失函数的最小化。

在神经网络中，损失函数通常是一个复合函数，由多个层的输出和激活函数组合而成。链式法则允许我们将这个复杂的复合函数的梯度计算分解为一系列简单的局部梯度计算，从而简化了梯度计算的过程。

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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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偏导数是指在多元函数中，对其中一个变量求导，而将其余变量视为常数的导数。

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。

利用计算得到的误差梯度，可以进一步计算每个权重和偏置参数对于损失函数的梯度。