From dde9a66b6759324ee9538af18b900745f7477c9b Mon Sep 17 00:00:00 2001 From: NotXia <35894453+NotXia@users.noreply.github.com> Date: Thu, 25 Apr 2024 16:49:57 +0200 Subject: [PATCH] Add DL segmentation --- src/year1/deep-learning/dl.tex | 2 +- .../img/_convolutionalization.pdf | Bin 0 -> 844921 bytes .../img/_convolutionalization_skip.pdf | Bin 0 -> 13389 bytes src/year1/deep-learning/img/_unet.pdf | Bin 0 -> 19642 bytes .../img/semantic_segmentation.png | Bin 0 -> 197024 bytes ...volutional_nn.tex => _computer_vision.tex} | 93 +++++++++++++++++- 6 files changed, 92 insertions(+), 3 deletions(-) create mode 100644 src/year1/deep-learning/img/_convolutionalization.pdf create mode 100644 src/year1/deep-learning/img/_convolutionalization_skip.pdf create mode 100644 src/year1/deep-learning/img/_unet.pdf create mode 100644 src/year1/deep-learning/img/semantic_segmentation.png rename src/year1/deep-learning/sections/{_convolutional_nn.tex => _computer_vision.tex} (87%) diff --git a/src/year1/deep-learning/dl.tex b/src/year1/deep-learning/dl.tex index 0f7fd5b..e6d837d 100644 --- a/src/year1/deep-learning/dl.tex +++ b/src/year1/deep-learning/dl.tex @@ -9,6 +9,6 @@ \makenotesfront \input{./sections/_expressivity.tex} \input{./sections/_training.tex} - 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+567,93 @@ Applications of autoencoders are: \includegraphics[width=0.5\linewidth]{./img/autoencoder_anomaly.png} \caption{Example of anomaly detection} \end{figure} -\end{descriptionlist} \ No newline at end of file +\end{descriptionlist} + + + +\section{Segmentation} + +\begin{description} + \item[Semantic segmentation] \marginnote{Semantic segmentation} + Classify the pixels of an image depending on the category it belongs to. + + \begin{remark} + Creating a dataset for segmentation is expensive. + \end{remark} +\end{description} + +\begin{figure}[H] + \centering + \includegraphics[width=0.75\linewidth]{./img/semantic_segmentation.png} + \caption{Example of semantic segmentation} +\end{figure} + + +\subsection{Convolutionalization} +\marginnote{Convolutionalization} + +Given a pre-trained image classification network, +it can be adapted into a segmentation network by converting its final dense layers into convolutions +with kernel size $1 \times 1$ and depth equal to the number of neurons in that layer. + +\begin{figure}[H] + \centering + \includegraphics[width=0.5\linewidth]{./img/_convolutionalization.pdf} + \caption{Example of convolutionalization} +\end{figure} + +The resulting model has the following behavior: +\begin{itemize} + \item It takes as input an image of arbitrary shape. This is possible as the network is composed of only convolutions (i.e. it can be seen as a single big convolution). + \item It outputs a heatmap of activations of the different object classes (i.e. the categories of the pre-trained classification network). +\end{itemize} + +As the output is obtained through a series of convolutions, its shape does not match the input image. +Therefore, the initial output heatmap needs to be upsampled by using transposed convolutions. + +To avoid losing information from previous layers, the original work proposes to use skip connections before upsampling. + +\begin{figure}[H] + \centering + \includegraphics[width=0.95\linewidth]{./img/_convolutionalization_skip.pdf} + \caption{ + Examples of upsampling. + The first row shows the upsampling process of the output (\texttt{conv7}) without skip connections. + The second row shows the upsampling process with a skip connection from the second last pooling layer (\texttt{pool4}): + the output (\texttt{conv7}) is partially upsampled to match the shape of the skip connectionm, then upsampling is done on their concatenation. + The third row shows the upsampling process with skip connections up to the third last pooling layer (\texttt{pool3}). + } +\end{figure} + + +\subsection{U-net} +\marginnote{U-net} + +Segmentation architecture that does not rely on a pre-trained classification network. + +The architecture is composed of two steps: +\begin{descriptionlist} + \item[Downsampling] Using convolutions and max-pooling. + \item[Upsampling] Using transposed convolutions and skip connections. +\end{descriptionlist} + +\begin{remark} + An interpretation of the two operations is the following: + \begin{descriptionlist} + \item[Downsampling] Aims to find what the image contains. + \item[Upsampling] Aims to find where the found objects are. + \end{descriptionlist} +\end{remark} + +\begin{figure}[H] + \centering + \includegraphics[width=0.75\linewidth]{./img/_unet.pdf} + \caption{Example of U-net architecture without padding} +\end{figure} + +\begin{remark} + In the original work, the architecture is defined using cropping and without padding, making the output shape smaller than the input. + Segmentation was therefore done on a cropped portion of the input image. + + Another approach is to use padding to maintain the same shape of the input in the output. +\end{remark} \ No newline at end of file