Sampling-based methods for factored task and motion planning

This paper presents a general-purpose formulation of a large class of discrete-time planning problems, with hybrid state and control-spaces, as factored transition systems. Factoring allows state transitions to be described as the intersection of several constraints each affecting a subset of the st...

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Main Authors: Garrett, Caelan Reed, Lozano-Pérez, Tomás, Kaelbling, Leslie P
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:English
Published: SAGE Publications 2020
Online Access:https://hdl.handle.net/1721.1/124490
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author Garrett, Caelan Reed
Lozano-Pérez, Tomás
Kaelbling, Leslie P
author2 Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
author_facet Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Garrett, Caelan Reed
Lozano-Pérez, Tomás
Kaelbling, Leslie P
author_sort Garrett, Caelan Reed
collection MIT
description This paper presents a general-purpose formulation of a large class of discrete-time planning problems, with hybrid state and control-spaces, as factored transition systems. Factoring allows state transitions to be described as the intersection of several constraints each affecting a subset of the state and control variables. Robotic manipulation problems with many movable objects involve constraints that only affect several variables at a time and therefore exhibit large amounts of factoring. We develop a theoretical framework for solving factored transition systems with sampling-based algorithms. The framework characterizes conditions on the submanifold in which solutions lie, leading to a characterization of robust feasibility that incorporates dimensionality-reducing constraints. It then connects those conditions to corresponding conditional samplers that can be composed to produce values on this submanifold. We present two domain-independent, probabilistically complete planning algorithms that take, as input, a set of conditional samplers. We demonstrate the empirical efficiency of these algorithms on a set of challenging task and motion planning problems involving picking, placing, and pushing. Keywords: task and motion planning; manipulation planning; AI reasoning
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spelling mit-1721.1/1244902022-09-28T15:02:11Z Sampling-based methods for factored task and motion planning Garrett, Caelan Reed Lozano-Pérez, Tomás Kaelbling, Leslie P Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory This paper presents a general-purpose formulation of a large class of discrete-time planning problems, with hybrid state and control-spaces, as factored transition systems. Factoring allows state transitions to be described as the intersection of several constraints each affecting a subset of the state and control variables. Robotic manipulation problems with many movable objects involve constraints that only affect several variables at a time and therefore exhibit large amounts of factoring. We develop a theoretical framework for solving factored transition systems with sampling-based algorithms. The framework characterizes conditions on the submanifold in which solutions lie, leading to a characterization of robust feasibility that incorporates dimensionality-reducing constraints. It then connects those conditions to corresponding conditional samplers that can be composed to produce values on this submanifold. We present two domain-independent, probabilistically complete planning algorithms that take, as input, a set of conditional samplers. We demonstrate the empirical efficiency of these algorithms on a set of challenging task and motion planning problems involving picking, placing, and pushing. Keywords: task and motion planning; manipulation planning; AI reasoning NSF (Grants 1420316, 1523767, and 1723381) AFOSR (Grant FA9550-17-1-0165) ONR (Grant N00014-14-1-0486) 2020-04-06T14:34:53Z 2020-04-06T14:34:53Z 2018-10-10 2019-06-04T15:08:50Z Article http://purl.org/eprint/type/JournalArticle 0278-3649 1741-3176 https://hdl.handle.net/1721.1/124490 Garrett, Caelan Reed, Lozano-Pérez, Tomás and Kaelbling, Leslie Pack. "Sampling-based methods for factored task and motion planning." International Journal of Robotics Research 37, 13/14 (December 2018): 1796-1825 © The Author(s) 2018. en http://dx.doi.org/10.1177/0278364918802962 International Journal of Robotics Research Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf SAGE Publications arXiv
spellingShingle Garrett, Caelan Reed
Lozano-Pérez, Tomás
Kaelbling, Leslie P
Sampling-based methods for factored task and motion planning
title Sampling-based methods for factored task and motion planning
title_full Sampling-based methods for factored task and motion planning
title_fullStr Sampling-based methods for factored task and motion planning
title_full_unstemmed Sampling-based methods for factored task and motion planning
title_short Sampling-based methods for factored task and motion planning
title_sort sampling based methods for factored task and motion planning
url https://hdl.handle.net/1721.1/124490
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