Soy: An Efficient MILP Solver for Piecewise-Affine Systems. Wu, H., Wu, M., Sadigh, D., & Barrett, C. In 2023 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '23), pages 6281–6288, October, 2023. IEEE. Detroit, MI, USA
Paper doi abstract bibtex 1 download Piecewise-affine (PWA) systems are widely used for modeling and control of robotics problems including modeling contact dynamics. A common approach is to encode the control problem of the PWA system as a Mixed-Integer Convex Program (MICP), which can be solved by general-purpose off-the-shelf MICP solvers. To mitigate the scalability challenge of solving these MICP problems, existing work focuses on devising efficient and strong formulations of the problems, while less effort has been spent on exploiting their specific structure to develop specialized solvers. The latter is the theme of our work. We focus on efficiently handling one-hot constraints, which are particularly relevant when encoding PWA dynamics. We have implemented our techniques in a tool, Soy, which organically integrates logical reasoning, arithmetic reasoning, and stochastic local search. For a set of PWA control benchmarks, Soy solves more problems, faster, than two state-of-the-art MICP solvers.
@inproceedings{WWS+23,
url = "https://doi.org/10.1109/IROS55552.2023.10342011",
author = "Wu, Haoze and Wu, Min and Sadigh, Dorsa and Barrett, Clark",
title = "Soy: An Efficient {MILP} Solver for Piecewise-Affine Systems",
booktitle = "2023 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '23)",
publisher = "IEEE",
pages = "6281--6288",
month = oct,
year = 2023,
doi = "10.1109/IROS55552.2023.10342011",
note = "Detroit, MI, USA",
category = "Conference Publications",
abstract = "Piecewise-affine (PWA) systems are widely used for modeling and
control of robotics problems including modeling contact
dynamics. A common approach is to encode the control problem
of the PWA system as a Mixed-Integer Convex Program (MICP),
which can be solved by general-purpose off-the-shelf MICP
solvers. To mitigate the scalability challenge of solving
these MICP problems, existing work focuses on devising
efficient and strong formulations of the problems, while less
effort has been spent on exploiting their specific structure
to develop specialized solvers. The latter is the theme of
our work. We focus on efficiently handling one-hot
constraints, which are particularly relevant when encoding
PWA dynamics. We have implemented our techniques in a tool,
Soy, which organically integrates logical reasoning,
arithmetic reasoning, and stochastic local search. For a set
of PWA control benchmarks, Soy solves more problems, faster,
than two state-of-the-art MICP solvers.",
}
Downloads: 1
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