Papers › Towards Better Accuracy-efficiency Trade-offs: Divide and Co-training

Towards Better Accuracy-efficiency Trade-offs: Divide and Co-training

30 Nov 2020arXiv:2011.14660archive 2025-07-28

Shuai Zhao, Liguang Zhou, Wenxiao Wang, Deng Cai, Tin Lun Lam, Yangsheng Xu

The width of a neural network matters since increasing the width will necessarily increase the model capacity. However, the performance of a network does not improve linearly with the width and soon gets saturated. In this case, we argue that increasing the number of networks (ensemble) can achieve better accuracy-efficiency trade-offs than purely increasing the width. To prove it, one large network is divided into several small ones regarding its parameters and regularization components. Each of these small networks has a fraction of the original one's parameters. We then train these small networks together and make them see various views of the same data to increase their diversity. During this co-training process, networks can also learn from each other. As a result, small networks can achieve better ensemble performance than the large one with few or no extra parameters or FLOPs, \ie, achieving better accuracy-efficiency trade-offs. Small networks can also achieve faster inference speed than the large one by concurrent running. All of the above shows that the number of networks is a new dimension of model scaling. We validate our argument with 8 different neural architectures on common benchmarks through extensive experiments. The code is available at \url{https://github.com/FreeformRobotics/Divide-and-Co-training}.

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Code

freeformrobotics/divide-and-co-training officialmentioned in papermentioned on GitHubpytorch report
mzhaoshuai/Divide-and-Co-training officialmentioned in papermentioned on GitHubpytorch report

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Tasks

Image Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification CIFAR-10 PyramidNet-272, S=4 Percentage correct 98.71 #30 of 265 Archive leaderboard report
Image Classification CIFAR-10 WRN-40-10, S=4 Percentage correct 98.38 #42 of 265 Archive leaderboard report
Image Classification CIFAR-10 WRN-28-10, S=4 Percentage correct 98.32 #43 of 265 Archive leaderboard report
Image Classification CIFAR-10 Shake-Shake 26 2x96d, S=4 Percentage correct 98.31 #44 of 265 Archive leaderboard report
Image Classification CIFAR-100 PyramidNet-272, S=4 PARAMS 32.8M #30 of 211 Archive leaderboard report
Image Classification CIFAR-100 PyramidNet-272, S=4 Percentage correct 89.46 #30 of 211 Archive leaderboard report
Image Classification CIFAR-100 DenseNet-BC-190, S=4 PARAMS 26.3M #45 of 211 Archive leaderboard report
Image Classification CIFAR-100 DenseNet-BC-190, S=4 Percentage correct 87.44 #45 of 211 Archive leaderboard report
Image Classification CIFAR-100 WRN-40-10, S=4 Percentage correct 86.90 #48 of 211 Archive leaderboard report
Image Classification CIFAR-100 WRN-28-10, S=4 Percentage correct 85.74 #59 of 211 Archive leaderboard report
Image Classification ImageNet SE-ResNeXt-101, 64x4d, S=2(320px) GFLOPs 38.2 #417 of 1060 Archive leaderboard report
Image Classification ImageNet SE-ResNeXt-101, 64x4d, S=2(320px) Number of params 98M #417 of 1060 Archive leaderboard report
Image Classification ImageNet SE-ResNeXt-101, 64x4d, S=2(320px) Top 1 Accuracy 83.6% #417 of 1060 Archive leaderboard report
Image Classification ImageNet SE-ResNeXt-101, 64x4d, S=2(416px) GFLOPs 61.1 #434 of 1060 Archive leaderboard report
Image Classification ImageNet SE-ResNeXt-101, 64x4d, S=2(416px) Number of params 98M #434 of 1060 Archive leaderboard report
Image Classification ImageNet SE-ResNeXt-101, 64x4d, S=2(416px) Top 1 Accuracy 83.34% #434 of 1060 Archive leaderboard report
Image Classification ImageNet ResNeXt-101, 64x4d, S=2(224px) GFLOPs 18.8 #571 of 1060 Archive leaderboard report
Image Classification ImageNet ResNeXt-101, 64x4d, S=2(224px) Number of params 88.6M #571 of 1060 Archive leaderboard report
Image Classification ImageNet ResNeXt-101, 64x4d, S=2(224px) Top 1 Accuracy 82.13% #571 of 1060 Archive leaderboard report

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