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## Zero Bubble Schedules |
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The key of achieving zero bubble is to breaking a backward pass into a B pass and W pass. B on one stage will only depend on the B on its next stage, compared to depending on both B and W of in 1F1B. |
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![image](https://hackmd.io/_uploads/Bkc7CL7N6.png) |
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### Comparision of Schedules |
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* 1F1B |
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![image](https://hackmd.io/_uploads/Hkq-gD7N6.png) |
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* ZB1P |
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![image](https://hackmd.io/_uploads/Hy2GxwmEa.png) |
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* ZB2P |
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![image](https://hackmd.io/_uploads/S10QgvmV6.png) |
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* ZBV - Each device is assigned to exactly 2 chunks (virtual stages), where white text colors represent the first chunk and black text colors represent the second chunk. The sequence of dependencies among model chunks follows a ”V” shape pattern for both the forward and backward passes. |
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![image](https://hackmd.io/_uploads/rkfUVYNrp.png) |
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| Comparison assuming T_F=T_B=T_W | 1F1B | ZB1P | ZB2P | ZBV (Recommended) | |
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| ----------------------------------------------------- | ------- | -------- | ---- | --- | |
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| Bubble Rate | (p-1)/m | (p-1)/3m | 0 | 0 | |
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| Activation Memory <br> (Compared to 1F1B) | 1x | 1x | 2x | 1x | |
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| Pipeline Communication Volume <br> (Compared to 1F1B) | 1x | 1x | 1x | 2x | |
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## Optimizer Post Validation |
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In most practices of PP there's an all-reduce cross all pipeline stages for numerical robustness, e.g. global gradient norm for gradient clipping. INF/NAN check for mixed precision training, etc. This all-reduce breaks parallelogram and makes zero bubble impossible. |
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Under the observation that during a stable training both the gradient clipping and INF/NAN rarely triggers, we replace the before-hand synchronizations with a post update validation. |
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![image](https://hackmd.io/_uploads/B16R3q4N6.png) |
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We eagerly step the optimizers assuming the grad cliping, INF/NAN conditions are not triggered. In case an amendment to the gradient is required, a rollback will be issued and then we redo the optimizer step based on the fully reduced global state. |