# Axial-DeepLab Axial-DeepLab, improving over Panoptic-DeepLab, incorporates the powerful axial self-attention modules [1], also known as the encoder of Axial Transformers [2], for general dense prediction tasks. In this document, we demonstrate the effectiveness of Axial-DeepLab on the task of panoptic segmentation [6], unifying semantic segmentation and instance segmentation. To reduce the computation complexity of 2D self-attention (especially prominent for dense pixel prediction tasks) and further to allow us to perform attention witin a larger or even global region, we factorize the 2D self-attention [1, 3, 4] into **two** 1D self-attention [2, 5]. We then effectively integrate the **axial-attention** into a residual block [7], as illustrated in Fig. 1.


Figure 1. An axial-attention (residual) block, which consists of two axial-attention layers operating along height- and width-axis sequentially.

The backbone of Axial-DeepLab, called Axial-ResNet, is obtained by replacing the residual blocks in any type of ResNets (e.g., Wide ResNets [8, 9]) with our proposed axial-attention blocks. Optionally, one could stack only the axial-attention blocks to form an **axial** stand-alone self-attention backbone. However, considering a better speed-accuracy trade-off (convolutions are typically well-optimized on modern accelerators), we adopt the hybrid CNN-Transformer architecture, where we stack the effective **axial-attention blocks** on top of the first few stages of ResNets (e.g., Wide ResNets). In particular, in this document, we explore the case where we stack the axial-attention blocks after the *conv3_x*, i.e., we apply axial-attentions after (and *including*) stride 16 feature maps. This hybrid CNN-Transformer architecture is very effective on panoptic segmentation tasks as shown in the Model Zoo below. Additionally, we propose a position-sensitive self-attention design, which captures long range interactions with precise positional information. We illustrate the difference between our design and the popular non-local block in Fig. 2.

Figure 2. A non-local block (left) vs. our position-sensitive axial-attention applied along the width-axis (right). $$\otimes$$ denotes matrix multiplication, and $$\oplus$$ denotes elementwise sum. The softmax is performed on the last axis. Blue boxes denote 1 × 1 convolutions, and red boxes denote relative positionalencoding.
## Prerequisite 1. Make sure the software is properly [installed](../setup/installation.md). 2. Make sure the target dataset is correctly prepared (e.g., [Cityscapes](../setup/cityscapes.md)). 3. Download the ImageNet pretrained [checkpoints](./imagenet_pretrained_checkpoints.md), and update the `initial_checkpoint` path in the config files. ## Model Zoo In the Model Zoo, we explore building axial-attention blocks on top of SWideRNet (Scaling Wide ResNets) and MaX-DeepLab backbones (i.e., only the ImageNet pretrained backbone without any *Mask Transformers*). Herein, we highlight some of the employed backbones: 1. **Axial-SWideRNet-(1, 1, x)**, where x = $$\{1, 3, 4.5\}$$, scaling the backbone layers (excluding the stem) of Wide-ResNet-41 by a factor of x. This backbone augments the naive SWideRNet (i.e., no Squeeze-and-Excitation or Switchable Atrous Convolution) with axial-attention blocks in the last two stages. 2. **MaX-DeepLab-S-Backbone**: The ImageNet pretrained backbone of MaX-DeepLab-S (i.e., without any *Mask Transformers*). This backbone augments the ResNet-50-Beta (i.e., replacing the original stem with Inception stem) with axial-attention blocks in the last two stages. 3. **MaX-DeepLab-L-Backbone**: The ImageNet pretrained backbone of MaX-DeepLab-L (i.e., without any *Mask Transformers*). This backbone adds a stacked decoder on top of the Wide ResNet-41, and incorporates axial-attention blocks to all feature maps with output stride 16 and larger. #### Cityscapes Panoptic Segmentation We provide checkpoints pretrained on Cityscapes train-fine set below. If you would like to train those models by yourself, please find the corresponding config files under this [directory](../../configs/cityscapes/axial_deeplab). All the reported results are obtained by *single-scale* inference and *ImageNet-1K* pretrained checkpoints. Backbone | Output stride | Input resolution | PQ [*] | mIoU [*] | PQ [**] | mIoU [**] | APMask [**] -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | :-----------: | :---------------: | :----: | :------: | :-----: | :-------: | :--------------------: Axial-SWideRNet-(1, 1, 1) ([config](../../configs/cityscapes/axial_deeplab/axial_swidernet_1_1_1_os16.textproto), [ckpt](https://storage.googleapis.com/gresearch/tf-deeplab/checkpoint/axial_swidernet_1_1_1_os16_axial_deeplab_cityscapes_trainfine.tar.gz)) | 16 | 1025 x 2049 | 66.1 | 82.8 | 66.63 | 83.43 | 37.18 Axial-SWideRNet-(1, 1, 3) ([config](../../configs/cityscapes/axial_deeplab/axial_swidernet_1_1_3_os16.textproto), [ckpt](https://storage.googleapis.com/gresearch/tf-deeplab/checkpoint/axial_swidernet_1_1_3_os16_axial_deeplab_cityscapes_trainfine.tar.gz)) | 16 | 1025 x 2049 | 67.1 | 83.5 | 67.63 | 83.97 | 40.00 Axial-SWideRNet-(1, 1, 4.5) ([config](../../configs/cityscapes/axial_deeplab/axial_swidernet_1_1_4.5_os16.textproto), [ckpt](https://storage.googleapis.com/gresearch/tf-deeplab/checkpoint/axial_swidernet_1_1_4.5_os16_axial_deeplab_cityscapes_trainfine.tar.gz)) | 16 | 1025 x 2049 | 68.0 | 83.0 | 68.53 | 83.49 | 39.51 MaX-DeepLab-S-Backbone ([config](../../configs/cityscapes/axial_deeplab/max_deeplab_s_backbone_os16.textproto), [ckpt](https://storage.googleapis.com/gresearch/tf-deeplab/checkpoint/max_deeplab_s_backbone_os16_axial_deeplab_cityscapes_trainfine.tar.gz)) | 16 | 1025 x 2049 | 64.5 | 82.2 | 64.97 | 82.63 | 35.55 MaX-DeepLab-L-Backbone ([config](../../configs/cityscapes/axial_deeplab/max_deeplab_l_backbone_os16.textproto), [ckpt](https://storage.googleapis.com/gresearch/tf-deeplab/checkpoint/max_deeplab_l_backbone_os16_axial_deeplab_cityscapes_trainfine.tar.gz)) | 16 | 1025 x 2049 | 66.3 | 83.1 | 66.77 | 83.67 | 38.09 [*]: Results evaluated by the official script. Instance segmentation evaluation is not supported yet (need to convert our prediction format). [**]: Results evaluated by our pipeline. See Q4 in [FAQ](../faq.md). ## Citing Axial-DeepLab If you find this code helpful in your research or wish to refer to the baseline results, please use the following BibTeX entry. * Axial-DeepLab: ``` @inproceedings{axial_deeplab_2020, author={Huiyu Wang and Yukun Zhu and Bradley Green and Hartwig Adam and Alan Yuille and Liang-Chieh Chen}, title={{Axial-DeepLab}: Stand-Alone Axial-Attention for Panoptic Segmentation}, booktitle={ECCV}, year={2020} } ``` * Panoptic-DeepLab: ``` @inproceedings{panoptic_deeplab_2020, author={Bowen Cheng and Maxwell D Collins and Yukun Zhu and Ting Liu and Thomas S Huang and Hartwig Adam and Liang-Chieh Chen}, title={{Panoptic-DeepLab}: A Simple, Strong, and Fast Baseline for Bottom-Up Panoptic Segmentation}, booktitle={CVPR}, year={2020} } ``` If you use the SWideRNet backbone w/ axial attention, please consider citing * SWideRNet: ``` @article{swidernet_2020, title={Scaling Wide Residual Networks for Panoptic Segmentation}, author={Chen, Liang-Chieh and Wang, Huiyu and Qiao, Siyuan}, journal={arXiv:2011.11675}, year={2020} } ``` If you use the MaX-DeepLab-{S,L} backbone, please consider citing * MaX-DeepLab: ``` @inproceedings{max_deeplab_2021, author={Huiyu Wang and Yukun Zhu and Hartwig Adam and Alan Yuille and Liang-Chieh Chen}, title={{MaX-DeepLab}: End-to-End Panoptic Segmentation with Mask Transformers}, booktitle={CVPR}, year={2021} } ```