1. 卷积层的优点:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qRTBNakF4TnpVeFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
2. 经典网络架构介绍
LeNet-5
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qRTBOakV6TnpBMlAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
- 池化层为均值,而目前主流为max
- 激活函数为sigmod或者tanh,而目前主流为relu
AlexNet
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qRTFNekk1TWpBelAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
- Local Response Normalization(LRN):
认为网络不需要那么多高激活神经元,因此将某些位置进行归一化处理(即对某点所有通道上的值进行归一化)。
VGG-19
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qSXdOakE0TkRFd1AzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
- VGG网络的特征是简单,只使用3x3的卷积层和2x2的池化层。
ResNet
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qSTBNREkxTlRBeVAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qSTBNalU1TURnelAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
- 通过添加跳跃连接,改变了模块的输出。当w与b均接近0时,该模块作用消失;否则,认为学习到了一些有用的特征。通过这种特性,可以避免网络加深性能变差的现像!
- 若a[l+1]与a[l]维度不一致,则在需a[l]前乘上一个转换矩阵W,保证与a[l+1]维度一致!
GoogleNet
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qSTFPRE01TXpjeVAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpBNU1qTXdNREF5TWpjeFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
- 使用Inception模块,可以让网络自己决定使用卷积层的大小(通过核参数值决定)。
- GoogleNet在网络中间添加输出层预测结果,可以防止过拟合和缓解梯度消失学习困难的问题!
3. 提高识别率的Tips
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFd01URTBOakk1TkRVeFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
- 10-crop:即取待检测图像及其镜像图像中心子区域及四角子区域,共计10张子图进行检测,将平均检测结果作为最终识别结果!
4. Face Recognition
人脸验证
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UWTBNVE15TmpVMFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
实质上是利用CNN提取人脸特征,然后进行特征匹配:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UWTBNak16TlRrNVAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
人脸验证的损失函数:
其中,A是特定人的人脸图,P也是该人的人脸图,视为正样本,N不是该人的人脸图,视为负样本!
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UWTBOVFU0T0RBeFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
5. Neural Style Transfer
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UWTFOREEyTnpVMFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
寻找各层九个最大的激活图像区域:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UY3dOalE1TlRZd1AzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UY3dOelF6T1RRNVAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
损失函数定义:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UY3dPVFF4TlRBMlAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
内容图像损失函数:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UZ3dNVFUwTlRnMlAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
风格图像损失函数:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UZ3dOalV4TnpVMVAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
构建gram矩阵,计算各激活层间的相关性:
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UZ3dOelF3TkRRMFAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)
![deeplearning.ai之卷积神经网络 deeplearning.ai之卷积神经网络](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwybHRaeTVpYkc5bkxtTnpaRzR1Ym1WMEx6SXdNVGN4TWpFek1UZ3dPREl3TURBMlAzZGhkR1Z5YldGeWF5OHlMM1JsZUhRdllVaFNNR05FYjNaTU1rcHpZakpqZFZrelRtdGlhVFYxV2xoUmRtUlVRWGhOYWxVeFRrUkJOVTFuUFQwdlptOXVkQzgxWVRaTU5Vd3lWQzltYjI1MGMybDZaUzgwTURBdlptbHNiQzlKTUVwQ1VXdEdRMDFCUFQwdlpHbHpjMjlzZG1Vdk56QXZaM0poZG1sMGVTOVRiM1YwYUVWaGMzUT0%3D.jpg?w=700&webp=1)