Semantic Segmentation

Combines the channel attention of the widely known spatial squeeze and channel excitation (SE) block and the spatial attention of the channel squeeze and spatial excitation (sSE) block to build a spatial and channel attention mechanism for image segmentation tasks.

Deformable ConvNets do not learn an affine transformation. They divide convolution into two steps, firstly sampling features on a regular grid $ \mathcal{R} $ from the input feature map, then aggregating sampled features by weighted summation using a convolution kernel. The process can be written as: \begin{align} Y(p_{0}) &= \sum_{p_i \in \mathcal{R}} w(p_{i}) X(p_{0} + p_{i}) \end{align} \begin{align} \mathcal{R} &= {(-1,-1), (-1, 0), \dots, (1, 1)} \end{align} The deformable convolution augments the sampling process by introducing a group of learnable offsets $\Delta p_{i}$ which can be generated by a lightweight CNN. Using the offsets $\Delta p_{i}$, the deformable convolution can be formulated as: \begin{align} Y(p_{0}) &= \sum_{p_i \in \mathcal{R}} w(p_{i}) X(p_{0} + p_{i} + \Delta p_{i}). \end{align} Through the above method, adaptive sampling is achieved. However, $\Delta p_{i}$ is a floating point value unsuited to grid sampling. To address this problem, bilinear interpolation is used. Deformable RoI pooling is also used, which greatly improves object detection. Deformable ConvNets adaptively select the important regions and enlarge the valid receptive field of convolutional neural networks; this is important in object detection and semantic segmentation tasks.

DenseNet-Elastic is a convolutional neural network that is a modification of a DenseNet with elastic blocks (extra upsampling and downsampling).

Elastic Dense Block is a skip connection block that modifies the Dense Block with downsamplings and upsamplings in parallel branches at each layer to let the network learn from a data scaling policy in which inputs are processed at different resolutions in each layer. It is called "elastic" because each layer in the network is flexible in terms of choosing the best scale by a soft policy.

FCANet contains a novel multi-spectral channel attention module. Given an input feature map $X \in \mathbb{R}^{C \times H \times W}$, multi-spectral channel attention first splits $X$ into many parts $x^{i} \in \mathbb{R}^{C' \times H \times W}$. Then it applies a 2D DCT to each part $x^{i}$. Note that a 2D DCT can use pre-processing results to reduce computation. After processing each part, all results are concatenated into a vector. Finally, fully connected layers, ReLU activation and a sigmoid are used to get the attention vector as in an SE block. This can be formulated as: \begin{align} s = F_\text{fca}(X, \theta) & = \sigma (W_{2} \delta (W_{1}[(\text{DCT}(\text{Group}(X)))])) \end{align} \begin{align} Y & = s X \end{align} where $\text{Group}(\cdot)$ indicates dividing the input into many groups and $\text{DCT}(\cdot)$ is the 2D discrete cosine transform. This work based on information compression and discrete cosine transforms achieves excellent performance on the classification task.

GroIE is an RoI extractor which intends to overcome the limitation of existing extractors which select only one (the best) layer from the FPN. The intuition is that all the layers of FPN retain useful information. Therefore, the proposed layer introduces non-local building blocks and attention mechanisms to boost the performance.

Global Sub-Sampled Attention, or GSA, is a local attention mechanism used in the Twins-SVT architecture. A single representative is used to summarize the key information for each of $m \times n$ subwindows and the representative is used to communicate with other sub-windows (serving as the key in self-attention), which can reduce the cost to $\mathcal{O}(m n H W d)=\mathcal{O}\left(\frac{H^{2} W^{2} d}{k\_{1} k\_{2}}\right)$. This is essentially equivalent to using the sub-sampled feature maps as the key in attention operations, and thus it is termed global sub-sampled attention (GSA). If we alternatively use the LSA and GSA like separable convolutions (depth-wise + point-wise). The total computation cost is $\mathcal{O}\left(\frac{H^{2} W^{2} d}{k\_{1} k\_{2}}+k\_{1} k\_{2} H W d\right) .$ We have: $$\frac{H^{2} W^{2} d}{k\_{1} k\_{2}}+k_{1} k_{2} H W d \geq 2 H W d \sqrt{H W} $$ The minimum is obtained when $k\_{1} \cdot k\_{2}=\sqrt{H W}$. Note that $H=W=224$ is popular in classification. Without loss of generality, square sub-windows are used, i.e., $k\_{1}=k\_{2}$. Therefore, $k\_{1}=k\_{2}=15$ is close to the global minimum for $H=W=224$. However, the network is designed to include several stages with variable resolutions. Stage 1 has feature maps of $56 \times 56$, the minimum is obtained when $k\_{1}=k\_{2}=\sqrt{56} \approx 7$. Theoretically, we can calibrate optimal $k\_{1}$ and $k\_{2}$ for each of the stages. For simplicity, $k\_{1}=k\_{2}=7$ is used everywhere. As for stages with lower resolutions, the summarizing window-size of GSA is controlled to avoid too small amount of generated keys. Specifically, the sizes of 4,2 and 1 are used for the last three stages respectively.

A HaloNet is a self-attention based model for efficient image classification. It relies on a local self-attention architecture that efficiently maps to existing hardware with haloing. The formulation breaks translational equivariance, but the authors observe that it improves throughput and accuracies over the centered local self-attention used in regular self-attention. The approach also utilises a strided self-attentive downsampling operation for multi-scale feature extraction.

In-Place Activated Batch Normalization, or InPlace-ABN, substitutes the conventionally used succession of BatchNorm + Activation layers with a single plugin layer, hence avoiding invasive framework surgery while providing straightforward applicability for existing deep learning frameworks. It approximately halves the memory requirements during training of modern deep learning models.

InstaBoost is a data augmentation technique for instance segmentation that utilises existing instance mask annotations. Intuitively in a small neighbor area of $(x_0, y_0, 1, 0)$, the probability map $P(x, y, s, r)$ should be high-valued since images are usually continuous and redundant in pixel level. Based on this, InstaBoost is a form of augmentation where we apply object jittering that randomly samples transformation tuples from the neighboring space of identity transform $(x_0, y_0, 1, 0)$ and paste the cropped object following affine transform $\mathbf{H}$.

Lambda layers are a building block for modeling long-range dependencies in data. They consist of long-range interactions between a query and a structured set of context elements at a reduced memory cost. Lambda layers transform each available context into a linear function, termed a lambda, which is then directly applied to the corresponding query. Whereas self-attention defines a similarity kernel between the query and the context elements, a lambda layer instead summarizes contextual information into a fixed-size linear function (i.e. a matrix), thus bypassing the need for memory-intensive attention maps.

Locally-Grouped Self-Attention, or LSA, is a local attention mechanism used in the Twins-SVT architecture. Locally-grouped self-attention (LSA). Motivated by the group design in depthwise convolutions for efficient inference, we first equally divide the 2D feature maps into sub-windows, making self-attention communications only happen within each sub-window. This design also resonates with the multi-head design in self-attention, where the communications only occur within the channels of the same head. To be specific, the feature maps are divided into $m \times n$ sub-windows. Without loss of generality, we assume $H \% m=0$ and $W \% n=0$. Each group contains $\frac{H W}{m n}$ elements, and thus the computation cost of the self-attention in this window is $\mathcal{O}\left(\frac{H^{2} W^{2}}{m^{2} n^{2}} d\right)$, and the total cost is $\mathcal{O}\left(\frac{H^{2} W^{2}}{m n} d\right)$. If we let $k\_{1}=\frac{H}{n}$ and $k\_{2}=\frac{W}{n}$, the cost can be computed as $\mathcal{O}\left(k\_{1} k\_{2} H W d\right)$, which is significantly more efficient when $k\_{1} \ll H$ and $k\_{2} \ll W$ and grows linearly with $H W$ if $k\_{1}$ and $k\_{2}$ are fixed. Although the locally-grouped self-attention mechanism is computation friendly, the image is divided into non-overlapping sub-windows. Thus, we need a mechanism to communicate between different sub-windows, as in Swin. Otherwise, the information would be limited to be processed locally, which makes the receptive field small and significantly degrades the performance as shown in our experiments. This resembles the fact that we cannot replace all standard convolutions by depth-wise convolutions in CNNs.

Margin Rectified Linear Unit, or Margin ReLU, is a type of activation function based on a ReLU, but it has a negative threshold for negative values instead of a zero threshhold.

MinCutPool is a trainable pooling operator for graphs that learns to map nodes into clusters. The method is trained to approximate the minimum K-cut of the graph to ensure that the clusters are balanced, while also jointly optimizing the objective of the task at hand.

Synergistic Image and Feature Alignment is an unsupervised domain adaptation framework that conducts synergistic alignment of domains from both image and feature perspectives. In SIFA, we simultaneously transform the appearance of images across domains and enhance domain-invariance of the extracted features by leveraging adversarial learning in multiple aspects and with a deeply supervised mechanism. The feature encoder is shared between both adaptive perspectives to leverage their mutual benefits via end-to-end learning.

ShapeConv, or Shape-aware Convolutional layer, is a convolutional layer for processing the depth feature in indoor RGB-D semantic segmentation. The depth feature is firstly decomposed into a shape-component and a base-component, next two learnable weights are introduced to cooperate with them independently, and finally a convolution is applied on the re-weighted combination of these two components.

Spatially Separable Self-Attention, or SSSA, is an attention module used in the Twins-SVT architecture that aims to reduce the computational complexity of vision transformers for dense prediction tasks (given high-resolution inputs). SSSA is composed of locally-grouped self-attention (LSA) and global sub-sampled attention (GSA). Formally, spatially separable self-attention (SSSA) can be written as: $$ \hat{\mathbf{z}}\_{i j}^{l}=\text { LSA }\left(\text { LayerNorm }\left(\mathbf{z}\_{i j}^{l-1}\right)\right)+\mathbf{z}\_{i j}^{l-1} $$ $$\mathbf{z}\_{i j}^{l}=\mathrm{FFN}\left(\operatorname{LayerNorm}\left(\hat{\mathbf{z}}\_{i j}^{l}\right)\right)+\hat{\mathbf{z}}\_{i j}^{l} $$ $$ \hat{\mathbf{z}}^{l+1}=\text { GSA }\left(\text { LayerNorm }\left(\mathbf{z}^{l}\right)\right)+\mathbf{z}^{l} $$ $$ \mathbf{z}^{l+1}=\text { FFN }\left(\text { LayerNorm }\left(\hat{\mathbf{z}}^{l+1}\right)\right)+\hat{\mathbf{z}}^{l+1}$$ $$i \in\{1,2, \ldots ., m\}, j \in\{1,2, \ldots ., n\} $$ where LSA means locally-grouped self-attention within a sub-window; GSA is the global sub-sampled attention by interacting with the representative keys (generated by the sub-sampling functions) from each sub-window $\hat{\mathbf{z}}\_{i j} \in \mathcal{R}^{k\_{1} \times k\_{2} \times C} .$ Both LSA and GSA have multiple heads as in the standard self-attention.

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