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z!0BB}Z!EXshWxJ95xkC{D(|3B*5BD$2WPtOFRu^aA9laq5W69#TQ0VV#%aD=s@-ni znw9_C4Ig~q(0M$-g1X2NCDQ*?D+-tE)br2GUt2}?dm%im^{8r>nvQ)3d`XMTi&co| G`~M$&sIVpg literal 0 HcmV?d00001 diff --git a/人人都能看懂的Transformer/第一章——Transformer网络架构.md b/人人都能看懂的Transformer/第一章——Transformer网络架构.md index 0305c8b..7367063 100644 --- a/人人都能看懂的Transformer/第一章——Transformer网络架构.md +++ b/人人都能看懂的Transformer/第一章——Transformer网络架构.md @@ -82,7 +82,7 @@ 语义关系学习 -向量传入后,通过语义关系学习(一系列计算),得出一个矩阵,维度是4 × 4的矩阵。矩阵里的每个值都是数字,数字代表了文字对应其它文字的语义关系,越高表示与其它文字的关系越近,越小则表示越疏远。 +向量传入后,通过语义关系学习(一系列计算,点积/内积的方法),得出一个矩阵,维度是4 × 4的矩阵。矩阵里的每个值都是数字,数字代表了文字对应其它文字的语义关系,越高表示与其它文字的关系越近,越小则表示越疏远。 > 为什么数字越大表示关系越近,现在可以简单理解,就是每个词的查询向量(Q)会与序列中所有单词的键(K)向量进行点积运算,得到一个分数,这个分数经过softmax函数处理后,就变成了注意力权重。即每个词都有跟全部词的向量结果,越大表示语义关系越紧密,权重越低则表示关系越疏远。 > @@ -98,9 +98,27 @@ 将语义关系学习里输出的矩阵,加上残差(输入语义关系学习)前的向量,再进行值的统一缩放,大部分情况下是缩放到[-1,1]区间。 -![数值缩放](../assets/image-20240424171227926.png) +数值缩放 Add & Norm的过程可以理解为相同位置元素相加,再做层归一化(Layer Normalization),即如果残差连接的A矩阵是3维的,多头注意力输出的B矩阵也会是3维的,而且两者一定是同Size,即A矩阵是(None, 4, 768),B矩阵肯定也是(None, 4, 768),两者同位置的如`A[i][j][k]=0.1`,`B[i][j][k]=0.2`,则相加是0.3,再去进行归一化。层归一化后面我们会详解。 +### 前馈神经网络 + +> WHAT:数学上,对于每个位置的输入向量`x`,FFNN可以表示为: +> +> ~~~ +> FFNN(x) = max(0, xW1 + b1)W2 + b2 +> ~~~ +> +> 其中`W1`和`W2`是权重矩阵,`b1`和`b2`是偏置项,`max(0,·)`是ReLU激活函数。 +> +> WHY:多头注意力层(语义关系学习)是线性的,这意味着它们可能不足以捕捉复杂的数据模式。前馈神经网络通过引入非线性激活函数,增强了模型的能力,使其能够学习更加复杂的函数映射等。且最重要的是每个神经元的输出仅依赖于当前层的输入,这使得计算可以并行化,从而提高了模型的训练和推理效率。 +> +> 感兴趣的同学,可以去这个网址玩玩[A Neural Network Playground](https://playground.tensorflow.org/#activation=tanh&batchSize=10&dataset=circle®Dataset=reg-plane&learningRate=0.03®ularizationRate=0&noise=0&networkShape=4,2&seed=0.53882&showTestData=false&discretize=false&percTrainData=50&x=true&y=true&xTimesY=false&xSquared=false&ySquared=false&cosX=false&sinX=false&cosY=false&sinY=false&collectStats=false&problem=classification&initZero=false&hideText=false) + +前馈神经网络 + +当数据输入到神经网络后,经过一系列运算(点积),输出的数据一般是非线形的。而且维度输出的维度与输入的维度是不变的。种设计允许FFN在不改变输入和输出维度的情况下,增加网络的非线性和复杂性,从而使模型能够学习更加复杂的特征表示。 +