Papers › Towards Better Accuracy-efficiency Trade-offs: Divide and Co-training
Towards Better Accuracy-efficiency Trade-offs: Divide and Co-training
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
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Tasks
Results from the paper archive 2025-07-28
| Task | Dataset | Model | Metric | Value | Rank at snapshot | Leaderboard | Report |
|---|---|---|---|---|---|---|---|
| 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 |
Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.
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