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Reinforcement learning look-ahead complexity defined: tractable for 1 step, NP-hard for 2+

Researchers have analyzed the computational complexity of reinforcement learning (RL) when agents can anticipate future states based on action sequences. They developed a linear programming formulation that allows for optimal planning with a single step of look-ahead ($\ell=1$) in polynomial time. However, for look-ahead depths of two steps or more ($\ell \geq 2$), the problem becomes NP-hard, establishing a clear distinction between computationally tractable and intractable scenarios for this type of RL planning. AI

IMPACT Defines computational limits for advanced RL planning techniques, potentially guiding future research into efficient algorithms.

RANK_REASON Academic paper detailing theoretical findings on computational complexity. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Reinforcement learning look-ahead complexity defined: tractable for 1 step, NP-hard for 2+

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Academic paper detailing theoretical findings on computational complexity. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Corentin Pla, Hugo Richard, Marc Abeille, Nadav Merlis, Vianney Perchet ·

    On the Hardness of Reinforcement Learning with Transition Look-Ahead

    arXiv:2510.19372v3 Announce Type: replace Abstract: We study reinforcement learning (RL) with transition look-ahead, where the agent may observe which states would be visited upon playing any sequence of $\ell$ actions before deciding its course of action. While such predictive i…