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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。
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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。
中,每个神经元都可以看作是一个函数,它接受若干输入,经过一些运算后产生一个输出。因此,整个
偏导数是多元函数中对单一变量求导的结果,它在神经网络反向传播中用于量化损失函数随参数变化的敏感度,从而指导参数优化。
反向传播的目标是计算损失函数相对于每个参数的偏导数,以便使用优化算法(如梯度下降)来更新参数。
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来计算梯度,我们需要调整权重矩阵的权重。我们网络的神经元(节点)的权重是通过计算损失函数的梯度来调整的。为此
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过程中,我们需要计算每个神经元函数对误差的导数,从而确定每个参数对误差的贡献,并利用梯度下降等优化
根据计算得到的梯度信息,使用梯度下降或其他优化算法来更新网络中的权重和偏置参数,以最小化损失函数。
参数偏导数:在计算了输出层和隐藏层的偏导数之后,我们需要进一步计算损失函数相对于网络参数的偏导数,即权重和偏置的偏导数。
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