SIGNALAI·Jun 15, 2026, 4:00 AMSignal55Medium term

Lyapunov-Based Sample Complexity Analysis for Weakly-Coupled MDPs

Source: arXiv cs.LG

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Lyapunov-Based Sample Complexity Analysis for Weakly-Coupled MDPs

arXiv:2606.14095v1 Announce Type: new Abstract: We study the sample complexity of learning in average-reward weakly-coupled Markov decision processes (WCMDPs) and Restless Bandits (RBs) under a generative model. Naive reduction to a tabular MDP leads to high complexity bounds as the state-action space is exponentially large in the number of arms $N$. By exploiting the weakly coupled structure, we show that near-optimal policies can be learned with sample and computational complexities that are polynomial in $N$. Specifically, we analyze the plug-in approach, which applies an efficient planning

Why this matters
Why now

This research provides a more efficient approach to learning in complex decision-making systems, addressing current limitations in scaling AI to real-world, high-dimensional problems.

Why it’s important

Improved sample complexity in weakly-coupled systems can enable more effective and resource-efficient deployment of AI agents in complex environments, accelerating their practical utility.

What changes

The ability to learn near-optimal policies with polynomial complexity rather than exponential complexity fundamentally alters the scalability and feasibility of certain AI applications.

Winners
  • · AI Developers
  • · Robotics
  • · Logistics
  • · Reinforcement Learning Researchers
Losers
  • · Inefficient AI deployment strategies
Second-order effects
Direct

More sophisticated AI agents become viable for deployment in complex, distributed systems.

Second

Reduced computational and data requirements could lower the barrier to entry for developing advanced AI applications in specific domains.

Third

This could contribute to the acceleration of autonomous systems in diverse sectors, enabling new levels of automation and decision-making.

Editorial confidence: 85 / 100 · Structural impact: 40 / 100
Original report

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