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Main Authors: Halvagal, Manu Srinath, Lee, Sebastian, Chung, SueYeon
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2606.01868
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author Halvagal, Manu Srinath
Lee, Sebastian
Chung, SueYeon
author_facet Halvagal, Manu Srinath
Lee, Sebastian
Chung, SueYeon
contents Reinforcement Learning (RL) has long served as a model for goal-directed animal behavior in neuroscience. Modern deep RL has shown remarkable success across many domains, further strengthening this connection. The ability to learn abstract representations of high-dimensional state spaces underlies much of this success. However, theoretical understanding of these learned representations remains limited, hindering direct comparisons between models and animal learning. We address this gap by analyzing deep RL representations through the lens of MDP reduction theory. Investigating canonical RL algorithms in a navigation task, we find that even when performance is comparable, the value-based method (DQN) learns representations that are invariant to MDP homomorphism symmetries, while the policy-gradient method (PPO) learns representations invariant to action symmetries. These differences emerge consistently across domains, have downstream consequences for transfer learning, and appear in LLMs in a prompt-dependent manner. Our findings provide a principled approach to comparing learned representations across RL algorithms, with demonstrated practical implications and possible insights for neural coding in the brain.
format Preprint
id arxiv_https___arxiv_org_abs_2606_01868
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Task-Induced Representational Invariances Depend on Learning Objective in Deep RL
Halvagal, Manu Srinath
Lee, Sebastian
Chung, SueYeon
Machine Learning
Reinforcement Learning (RL) has long served as a model for goal-directed animal behavior in neuroscience. Modern deep RL has shown remarkable success across many domains, further strengthening this connection. The ability to learn abstract representations of high-dimensional state spaces underlies much of this success. However, theoretical understanding of these learned representations remains limited, hindering direct comparisons between models and animal learning. We address this gap by analyzing deep RL representations through the lens of MDP reduction theory. Investigating canonical RL algorithms in a navigation task, we find that even when performance is comparable, the value-based method (DQN) learns representations that are invariant to MDP homomorphism symmetries, while the policy-gradient method (PPO) learns representations invariant to action symmetries. These differences emerge consistently across domains, have downstream consequences for transfer learning, and appear in LLMs in a prompt-dependent manner. Our findings provide a principled approach to comparing learned representations across RL algorithms, with demonstrated practical implications and possible insights for neural coding in the brain.
title Task-Induced Representational Invariances Depend on Learning Objective in Deep RL
topic Machine Learning
url https://arxiv.org/abs/2606.01868