Following papers are implemented using PyTorch.

• ResNet (1512.03385)
• ResNet-preact (1603.05027)
• WRN (1605.07146)
• DenseNet (1608.06993, 2001.02394)
• PyramidNet (1610.02915)
• ResNeXt (1611.05431)
• shake-shake (1705.07485)
• LARS (1708.03888, 1801.03137)
• Cutout (1708.04552)
• Random Erasing (1708.04896)
• SENet (1709.01507)
• Mixup (1710.09412)
• Dual-Cutout (1802.07426)
• RICAP (1811.09030)
• CutMix (1905.04899)

• Ubuntu (It's only tested on Ubuntu, so it may not work on Windows.)
• Python >= 3.7
• PyTorch >= 1.4.0
• torchvision
• NVIDIA Apex

pip install -r requirements.txt

python train.py --config configs/cifar/resnet_preact.yaml

• Differences with papers in training settings:
  • Trained WRN-28-10 with batch size 64 (128 in paper).
  • Trained DenseNet-BC-100 (k=12) with batch size 32 and initial learning rate 0.05 (batch size 64 and initial learning rate 0.1 in paper).
  • Trained ResNeXt-29 4x64d with a single GPU, batch size 32 and initial learning rate 0.025 (8 GPUs, batch size 128 and initial learning rate 0.1 in paper).
  • Trained shake-shake models with a single GPU (2 GPUs in paper).
  • Trained shake-shake 26 2x64d (S-S-I) with batch size 64, and initial learning rate 0.1.
• Test errors reported above are the ones at last epoch.
• Experiments with only 1 run are done on different computer from the one used for experiments with 3 runs.
• GeForce GTX 980 was used in these experiments.

python train.py --config configs/cifar/vgg.yaml

python train.py --config configs/cifar/resnet.yaml

python train.py --config configs/cifar/resnet_preact.yaml \
    train.output_dir experiments/resnet_preact_basic_110/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    model.resnet_preact.depth 164 \
    model.resnet_preact.block_type bottleneck \
    train.output_dir experiments/resnet_preact_bottleneck_164/exp00

python train.py --config configs/cifar/wrn.yaml

python train.py --config configs/cifar/densenet.yaml

python train.py --config configs/cifar/pyramidnet.yaml \
    model.pyramidnet.depth 110 \
    model.pyramidnet.block_type basic \
    model.pyramidnet.alpha 84 \
    train.output_dir experiments/pyramidnet_basic_110_84/exp00

python train.py --config configs/cifar/pyramidnet.yaml \
    model.pyramidnet.depth 110 \
    model.pyramidnet.block_type basic \
    model.pyramidnet.alpha 270 \
    train.output_dir experiments/pyramidnet_basic_110_270/exp00

python train.py --config configs/cifar/resnext.yaml \
    model.resnext.cardinality 4 \
    train.batch_size 32 \
    train.base_lr 0.025 \
    train.output_dir experiments/resnext_29_4x64d/exp00

python train.py --config configs/cifar/resnext.yaml \
    train.batch_size 64 \
    train.base_lr 0.05 \
    train.output_dir experiments/resnext_29_8x64d/exp00

python train.py --config configs/cifar/shake_shake.yaml \
    model.shake_shake.initial_channels 32 \
    train.output_dir experiments/shake_shake_26_2x32d_SSI/exp00

python train.py --config configs/cifar/shake_shake.yaml \
    model.shake_shake.initial_channels 64 \
    train.batch_size 64 \
    train.base_lr 0.1 \
    train.output_dir experiments/shake_shake_26_2x64d_SSI/exp00

python train.py --config configs/cifar/shake_shake.yaml \
    model.shake_shake.initial_channels 96 \
    train.batch_size 64 \
    train.base_lr 0.1 \
    train.output_dir experiments/shake_shake_26_2x96d_SSI/exp00

• Results reported in the table are the test errors at last epochs.
• All models are trained using cosine annealing with initial learning rate 0.2.
• GeForce GTX 1080 Ti was used in these experiments, except ones with *, which are done using GeForce GTX 980.

python train.py --config configs/cifar/wrn.yaml \
    train.batch_size 64 \
    train.output_dir experiments/wrn_28_10_cutout16 \
    scheduler.type cosine \
    augmentation.use_cutout True

python train.py --config configs/cifar/shake_shake.yaml \
    model.shake_shake.initial_channels 64 \
    train.batch_size 64 \
    train.base_lr 0.1 \
    scheduler.epochs 300 \
    train.output_dir experiments/shake_shake_26_2x64d_SSI_cutout16/exp00 \
    augmentation.use_cutout True

• Tesla V100 was used in these experiments.

python train.py --config configs/cifar/wrn.yaml \
    train.base_lr 0.2 \
    train.batch_size 512 \
    scheduler.epochs 200 \
    scheduler.type cosine \
    train.output_dir experiments/wrn_28_10_ricap_1gpu/exp00 \
    augmentation.use_ricap True \
    augmentation.use_random_crop False

python -m torch.distributed.launch --nproc_per_node 2 \
    train.py --config configs/cifar/wrn.yaml \
    train.distributed True \
    train.base_lr 0.2 \
    train.batch_size 256 \
    scheduler.epochs 200 \
    scheduler.type cosine \
    train.output_dir experiments/wrn_28_10_ricap_2gpus/exp00 \
    augmentation.use_ricap True \
    augmentation.use_random_crop False

python -m torch.distributed.launch --nproc_per_node 4 \
    train.py --config configs/cifar/wrn.yaml \
    train.distributed True \
    train.base_lr 0.2 \
    train.batch_size 128 \
    scheduler.epochs 200 \
    scheduler.type cosine \
    train.output_dir experiments/wrn_28_10_ricap_4gpus/exp00 \
    augmentation.use_ricap True \
    augmentation.use_random_crop False

python -m torch.distributed.launch --nproc_per_node 8 \
    train.py --config configs/cifar/wrn.yaml \
    train.distributed True \
    train.base_lr 0.2 \
    train.batch_size 64 \
    scheduler.epochs 200 \
    scheduler.type cosine \
    train.output_dir experiments/wrn_28_10_ricap_8gpus/exp00 \
    augmentation.use_ricap True \
    augmentation.use_random_crop False

• Results reported in the tables are the test errors at last epochs.
• All models are trained using cosine annealing with initial learning rate 0.2.
• Following data augmentations are applied to the training data:
  • Images are padded with 4 pixels on each side, and 28x28 patches are randomly cropped from the padded images.
  • Images are randomly flipped horizontally.
• GeForce GTX 1080 Ti was used in these experiments.

• Results reported in the table are the test errors at last epochs.
• All models are trained using cosine annealing with initial learning rate 0.2.
• GeForce GTX 1080 Ti was used in these experiments.

• Results reported in the table are the test errors at last epochs.
• All models are trained using cosine annealing with initial learning rate 0.2.
• GeForce GTX 1080 Ti was used in these experiments.

In this experiment, the effects of the following on classification accuracy are investigated:

• PyramidNet-like residual units
• Cosine annealing of learning rate
• Cutout
• Random Erasing
• Mixup
• Preactivation of shortcuts after downsampling

ResNet-preact-56 is trained on CIFAR-10 with initial learning rate 0.2 in this experiment.

• PyramidNet paper (1610.02915) showed that removing first ReLU in residual units and adding BN after last convolutions in residual units both improve classification accuracy.
• SGDR paper (1608.03983) showed cosine annealing improves classification accuracy even without restarting.

• PyramidNet-like units works.
  • It might be better not to preactivate shortcuts after downsampling when using PyramidNet-like units.
• Cosine annealing slightly improves accuracy.
• Cutout, RandomErasing, and Mixup all work great.
  • Mixup needs longer training.

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, True, True]' \
    model.resnet_preact.remove_first_relu False \
    model.resnet_preact.add_last_bn False \
    train.output_dir experiments/resnet_preact_after_downsampling/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu False \
    model.resnet_preact.add_last_bn False \
    train.output_dir experiments/resnet_preact_w_relu_wo_bn/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn False \
    train.output_dir experiments/resnet_preact_wo_relu_wo_bn/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu False \
    model.resnet_preact.add_last_bn True \
    train.output_dir experiments/resnet_preact_w_relu_w_bn/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn True \
    train.output_dir experiments/resnet_preact_wo_relu_w_bn/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, True, True]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn True \
    train.output_dir experiments/resnet_preact_after_downsampling_wo_relu_w_bn/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn True \
    scheduler.type cosine \
    train.output_dir experiments/resnet_preact_wo_relu_w_bn_cosine/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn True \
    augmentation.use_cutout True \
    train.output_dir experiments/resnet_preact_wo_relu_w_bn_cutout/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn True \
    augmentation.use_random_erasing True \
    train.output_dir experiments/resnet_preact_wo_relu_w_bn_random_erasing/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    train.base_lr 0.2 \
    model.resnet_preact.depth 56 \
    model.resnet_preact.preact_stage '[True, False, False]' \
    model.resnet_preact.remove_first_relu True \
    model.resnet_preact.add_last_bn True \
    augmentation.use_mixup True \
    train.output_dir experiments/resnet_preact_wo_relu_w_bn_mixup/exp00

• Results reported in the table are the test errors at last epochs.
• All models are trained using cosine annealing with initial learning rate 0.2.
• GeForce GTX 1080 Ti was used in these experiments.

• Following experiments are done on CIFAR-10 dataset using GeForce 1080 Ti.
• Results reported in the table are the test errors at last epochs.

• In the original papers (1708.03888, 1801.03137), they used polynomial decay learning rate scheduling, but cosine annealing is used in these experiments.
• In this implementation, LARS coefficient is not used, so learning rate should be adjusted accordingly.

python train.py --config configs/cifar/resnet_preact.yaml \
    model.resnet_preact.depth 20 \
    train.optimizer lars \
    train.base_lr 0.02 \
    train.batch_size 4096 \
    scheduler.type cosine \
    train.output_dir experiments/resnet_preact_lars/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    model.resnet_preact.depth 20 \
    train.base_lr 1.5 \
    train.batch_size 4096 \
    train.subdivision 32 \
    scheduler.type cosine \
    train.output_dir experiments/resnet_preact_ghost_batch/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    model.resnet_preact.depth 20 \
    train.base_lr 1.6 \
    train.batch_size 4096 \
    train.no_weight_decay_on_bn True \
    train.weight_decay 5e-4 \
    scheduler.type cosine \
    train.output_dir experiments/resnet_preact_no_weight_decay_on_bn/exp00

• Following experiments need NVIDIA Apex.
• Following experiments are done on CIFAR-10 dataset using GeForce 1080 Ti, which doesn't have Tensor Cores.
• Results reported in the table are the test errors at last epochs.

python train.py --config configs/cifar/resnet_preact.yaml \
    model.resnet_preact.depth 20 \
    train.base_lr 1.6 \
    train.batch_size 4096 \
    train.precision O3 \
    scheduler.type cosine \
    train.output_dir experiments/resnet_preact_fp16/exp00

python train.py --config configs/cifar/resnet_preact.yaml \
    model.resnet_preact.depth 20 \
    train.base_lr 1.6 \
    train.batch_size 4096 \
    train.precision O1 \
    scheduler.type cosine \
    train.output_dir experiments/resnet_preact_mixed_precision/exp00

• He, Kaiming, Xiangyu Zhang, Shaoqing Ren, and Jian Sun. "Deep Residual Learning for Image Recognition." The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2016. link, arXiv:1512.03385
• He, Kaiming, Xiangyu Zhang, Shaoqing Ren, and Jian Sun. "Identity Mappings in Deep Residual Networks." In European Conference on Computer Vision (ECCV). 2016. arXiv:1603.05027, Torch implementation
• Zagoruyko, Sergey, and Nikos Komodakis. "Wide Residual Networks." Proceedings of the British Machine Vision Conference (BMVC), 2016. arXiv:1605.07146, Torch implementation
• Huang, Gao, Zhuang Liu, Kilian Q Weinberger, and Laurens van der Maaten. "Densely Connected Convolutional Networks." The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2017. link, arXiv:1608.06993, Torch implementation
• Han, Dongyoon, Jiwhan Kim, and Junmo Kim. "Deep Pyramidal Residual Networks." The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2017. link, arXiv:1610.02915, Torch implementation, Caffe implementation, PyTorch implementation
• Xie, Saining, Ross Girshick, Piotr Dollar, Zhuowen Tu, and Kaiming He. "Aggregated Residual Transformations for Deep Neural Networks." The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2017. link, arXiv:1611.05431, Torch implementation
• Gastaldi, Xavier. "Shake-Shake regularization of 3-branch residual networks." In International Conference on Learning Representations (ICLR) Workshop, 2017. link, arXiv:1705.07485, Torch implementation
• Hu, Jie, Li Shen, and Gang Sun. "Squeeze-and-Excitation Networks." The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2018, pp. 7132-7141. link, arXiv:1709.01507, Caffe implementation
• Huang, Gao, Zhuang Liu, Geoff Pleiss, Laurens van der Maaten, and Kilian Q. Weinberger. "Convolutional Networks with Dense Connectivity." IEEE transactions on pattern analysis and machine intelligence (2019). arXiv:2001.02394

• Szegedy, Christian, Vincent Vanhoucke, Sergey Ioffe, Jon Shlens, and Zbigniew Wojna. "Rethinking the Inception Architecture for Computer Vision." The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2016. link, arXiv:1512.00567
• DeVries, Terrance, and Graham W. Taylor. "Improved Regularization of Convolutional Neural Networks with Cutout." arXiv preprint arXiv:1708.04552 (2017). arXiv:1708.04552, PyTorch implementation
• Abu-El-Haija, Sami. "Proportionate Gradient Updates with PercentDelta." arXiv preprint arXiv:1708.07227 (2017). arXiv:1708.07227
• Zhong, Zhun, Liang Zheng, Guoliang Kang, Shaozi Li, and Yi Yang. "Random Erasing Data Augmentation." arXiv preprint arXiv:1708.04896 (2017). arXiv:1708.04896, PyTorch implementation
• Zhang, Hongyi, Moustapha Cisse, Yann N. Dauphin, and David Lopez-Paz. "mixup: Beyond Empirical Risk Minimization." In International Conference on Learning Representations (ICLR), 2017. link, arXiv:1710.09412
• Kawaguchi, Kenji, Yoshua Bengio, Vikas Verma, and Leslie Pack Kaelbling. "Towards Understanding Generalization via Analytical Learning Theory." arXiv preprint arXiv:1802.07426 (2018). arXiv:1802.07426, PyTorch implementation
• Takahashi, Ryo, Takashi Matsubara, and Kuniaki Uehara. "Data Augmentation using Random Image Cropping and Patching for Deep CNNs." Proceedings of The 10th Asian Conference on Machine Learning (ACML), 2018. link, arXiv:1811.09030
• Yun, Sangdoo, Dongyoon Han, Seong Joon Oh, Sanghyuk Chun, Junsuk Choe, and Youngjoon Yoo. "CutMix: Regularization Strategy to Train Strong Classifiers with Localizable Features." arXiv preprint arXiv:1905.04899 (2019). arXiv:1905.04899

• Keskar, Nitish Shirish, Dheevatsa Mudigere, Jorge Nocedal, Mikhail Smelyanskiy, and Ping Tak Peter Tang. "On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima." In International Conference on Learning Representations (ICLR), 2017. link, arXiv:1609.04836
• Hoffer, Elad, Itay Hubara, and Daniel Soudry. "Train longer, generalize better: closing the generalization gap in large batch training of neural networks." In Advances in Neural Information Processing Systems (NIPS), 2017. link, arXiv:1705.08741, PyTorch implementation
• Goyal, Priya, Piotr Dollar, Ross Girshick, Pieter Noordhuis, Lukasz Wesolowski, Aapo Kyrola, Andrew Tulloch, Yangqing Jia, and Kaiming He. "Accurate, Large Minibatch SGD: Training ImageNet in 1 Hour." arXiv preprint arXiv:1706.02677 (2017). arXiv:1706.02677
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• Gitman, Igor, Deepak Dilipkumar, and Ben Parr. "Convergence Analysis of Gradient Descent Algorithms with Proportional Updates." arXiv preprint arXiv:1801.03137 (2018). arXiv:1801.03137 TensorFlow implementation
• Jia, Xianyan, Shutao Song, Wei He, Yangzihao Wang, Haidong Rong, Feihu Zhou, Liqiang Xie, Zhenyu Guo, Yuanzhou Yang, Liwei Yu, Tiegang Chen, Guangxiao Hu, Shaohuai Shi, and Xiaowen Chu. "Highly Scalable Deep Learning Training System with Mixed-Precision: Training ImageNet in Four Minutes." arXiv preprint arXiv:1807.11205 (2018). arXiv:1807.11205
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• Loshchilov, Ilya, and Frank Hutter. "SGDR: Stochastic Gradient Descent with Warm Restarts." In International Conference on Learning Representations (ICLR), 2017. link, arXiv:1608.03983, Lasagne implementation
• Micikevicius, Paulius, Sharan Narang, Jonah Alben, Gregory Diamos, Erich Elsen, David Garcia, Boris Ginsburg, Michael Houston, Oleksii Kuchaiev, Ganesh Venkatesh, and Hao Wu. "Mixed Precision Training." In International Conference on Learning Representations (ICLR), 2018. link, arXiv:1710.03740
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