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This paper proposes a reinforcement learning method that trains several Q-learning heads, each with a different discount factor, and blends them at decision time based on the policy's entropy-derived confidence. The reported gains are concentrated on tasks where rewards are delayed, and the authors frame the approach as a lightweight add-on that works with standard value-learning methods. Readers should look for the benchmark details, the baselines, and the cost of maintaining multiple heads before judging how much it improves on tuning a single discount factor.
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Q($\gamma_H$): Entropy-Guided Horizon Mixing in Multi-Discount Q-Learning

arXiv2 min read

arXiv:2610.21764v1 Announce Type: new Abstract: A fixed discount factor in Q-learning imposes a single planning horizon throughout training, despite the differing demands of early exploration and long-term credit assignment. We propose Q($\gamma_H$), a multi-horizon Q-learning framework that maintains multiple discount-specific heads and adaptively combines them at control time using an entropy-derived confidence signal. The resulting state-dependent mixing weights shift control from shorter- to longer-horizon heads as policy confidence increases, enabling adaptive horizon mixing without modifying individual Bellman updates. Across classical control and deep reinforcement-learning benchmarks, Q($\gamma_H$) shows its strongest improvements on delayed-credit tasks relative to strong fixed-discount baselines. By decoupling horizon adaptation from the underlying learning updates, Q($\gamma_H$) provides a lightweight framework for adaptive planning-horizon control in reinforcement learning, avoiding the need for manual discount-factor selection while remaining compatible with standard value-learning methods.

Abstract:A fixed discount factor in Q-learning imposes a single planning horizon throughout training, despite the differing demands of early exploration and long-term credit assignment. We propose Q($\gamma_H$), a multi-horizon Q-learning framework that maintains multiple discount-specific heads and adaptively combines them at control time using an entropy-derived confidence signal. The resulting state-dependent mixing weights shift control from shorter- to longer-horizon heads as policy confidence increases, enabling adaptive horizon mixing without modifying individual Bellman updates. Across classical control and deep reinforcement-learning benchmarks, Q($\gamma_H$) shows its strongest improvements on delayed-credit tasks relative to strong fixed-discount baselines. By decoupling horizon adaptation from the underlying learning updates, Q($\gamma_H$) provides a lightweight framework for adaptive planning-horizon control in reinforcement learning, avoiding the need for manual discount-factor selection while remaining compatible with standard value-learning methods.

15 pages. Accepted at ICONIP 2026

Machine Learning (cs.LG)

arXiv:2610.21764 [cs.LG]

(or arXiv:2610.21764v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.21764 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 228 words

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