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Reduce, Reuse, Recycle: Categories for Compositional Reinforcement Learning
Preprint   Open access

Reduce, Reuse, Recycle: Categories for Compositional Reinforcement Learning

Georgios Bakirtzis, Michail Savvas, Ruihan Zhao, Sandeep Chinchali and Ufuk Topcu
arXiv.org
Cornell University
08/23/2024
DOI: 10.48550/arxiv.2408.13376
url
https://doi.org/10.48550/arxiv.2408.13376View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

In reinforcement learning, conducting task composition by forming cohesive, executable sequences from multiple tasks remains challenging. However, the ability to (de)compose tasks is a linchpin in developing robotic systems capable of learning complex behaviors. Yet, compositional reinforcement learning is beset with difficulties, including the high dimensionality of the problem space, scarcity of rewards, and absence of system robustness after task composition. To surmount these challenges, we view task composition through the prism of category theory -- a mathematical discipline exploring structures and their compositional relationships. The categorical properties of Markov decision processes untangle complex tasks into manageable sub-tasks, allowing for strategical reduction of dimensionality, facilitating more tractable reward structures, and bolstering system robustness. Experimental results support the categorical theory of reinforcement learning by enabling skill reduction, reuse, and recycling when learning complex robotic arm tasks.
Computer Science - Artificial Intelligence Computer Science - Learning Computer Science - Systems and Control Mathematics - Category Theory

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