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An exploration on what non-asymptotic statistics + learning theory can say about motion planning.

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nonasymptotic-mp

The accompanying codebase for the publication "Towards Practical Finite Sample Bounds for Motion Planning in TAMP," by Seiji Shaw, Aidan Curtis, Leslie Pack Kaelbling, Tomás Lozano-Pérez, and Nicholas Roy.

Quickstart

To run the Task and Motion Planning experiments, see the TAMP README.md.

To view the implementations of PRM and numerical computations of the bound, see the nonasymptotic README.md.

For examples of how the environments/PRMs are constructed, see vis_narrow_passages.ipynb.

For examples for how to use the numerical bound computations, see numerical_bound_computations.ipynb.

Installation

This code was developed and verified to work for Python 3.8.

The minimal installation can be done by cloning down the repository and its submodules, and then installing all dependencies in requirements.txt:

git clone --recursive [email protected]:robustrobotics/nonasymptotic-mp.git
cd nonasymptotic-mp
pip install -r requirements.txt

The minimal installation uses pynndescent to construct an approximate K-nearest neighbors graph that forms the PRM. While installable by pip, the KNN graph construction slows down significantly when the input set of points grows larger than ~1e5.

You can optionally install kgraph, a much faster ANN library. The installation procedure has components that must be built from source. Please refer to the kgraph repo for an installation procedure.

Citation

If this codebase was helpful to you, please consider citing our paper:

@inproceedings{
    shaw2024towards,
    title={Towards Practical Finite Sample Bounds for Motion Planning in {TAMP}},
    author={Seiji A Shaw and Aidan Curtis and Leslie Pack Kaelbling and Tom{\'a}s Lozano-P{\'e}rez and Nicholas Roy},
    booktitle={The 16th International Workshop on the Algorithmic Foundations of Robotics},
    year={2024},
    url={https://openreview.net/forum?id=I4pLUVhpU6}
}

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