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1 | | -# χ₀ |
| 1 | +# χ₀: Resource-Aware Robust Manipulation viaTaming Distributional Inconsistencies |
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4 | 4 | <div id="top" align="center"> |
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16 | 16 | </div> |
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18 | | -χ₀ (**kai0**) is a resource-efficient framework for achieving production-level robustness in robotic manipulation by taming distributional inconsistencies. This repository is built on top of [openpi](https://github.com/Physical-Intelligence/openpi), the open-source models and packages for robotics published by the [Physical Intelligence team](https://www.physicalintelligence.company/). |
| 18 | +χ₀ (**kai0**) is a resource-efficient framework for achieving production-level robustness in robotic manipulation by taming distributional inconsistencies. |
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20 | 20 | χ₀ addresses the systematic distributional shift among the human demonstration distribution ($P_\text{train}$), the inductive bias learned by the policy ($Q_\text{model}$), and the test-time execution distribution ($P_\text{test}$) through three technical modules: |
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22 | 22 | - **[Model Arithmetic](#model-arithmetic)**: A weight-space merging strategy that combines models trained on different data subsets, efficiently capturing diverse knowledge without architectural complexity. **[Released]** |
23 | 23 | - **[Stage Advantage](#stage-advantage-coming-soon)**: A stage-aware advantage estimator that provides stable, dense progress signals for policy training. **[Coming Soon]** |
24 | 24 | - **[Train-Deploy Alignment](#train-deploy-alignment-coming-soon)**: Bridges the distribution gap via spatio-temporal augmentation, heuristic DAgger corrections, and temporal chunk-wise smoothing. **[Coming Soon]** |
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26 | | -χ₀ enables two sets of dual-arm robots to collaboratively orchestrate long-horizon garment manipulation — flattening, folding, and hanging — surpassing the state-of-the-art $\pi_{0.5}$ baseline by approximately 250% in success rate, with only 20 hours of data and 8 A100 GPUs. |
| 26 | +χ₀ enables two sets of dual-arm robots to collaboratively orchestrate long-horizon garment manipulation — flattening, folding, and hanging — surpassing the state-of-the-art $\pi_{0.5}$ baseline by approximately 250% in success rate, with `only 20 hours of data and 8 A100 GPUs`. |
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28 | 28 | <!-- [[Paper]](https://github.com/OpenDriveLab/kai0) [[Blog]](https://mmlab.hk/research/kai0) --> |
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@@ -52,7 +52,7 @@ https://github.com/user-attachments/assets/e662f096-d273-4458-abd4-e12b9685a9bc |
52 | 52 | - [Troubleshooting](#troubleshooting) |
53 | 53 | - [Links and Community](#links-and-community) |
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55 | | -## Updates |
| 55 | +## Update |
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57 | 57 | - [Feb 10 2026] Initial release of the **Model Arithmetic** module with support for both JAX and PyTorch checkpoints (not tested thoroughly). |
58 | 58 | - [Feb 10 2025] χ₀ paper released. |
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