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New Q-value iteration analysis uses switching geometry

This paper introduces a new framework for analyzing Q-value iteration in Markov decision processes, focusing on a technique called rank-one deflation. The authors interpret the algorithm's behavior through the geometry of switching systems, providing a novel JSR-based convergence analysis. Their findings suggest that deflation offers a more precise characterization of convergence rates by removing a redundant component, without altering the fundamental decision-making problem or the resulting policy sequence. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Introduces a more precise convergence analysis for reinforcement learning algorithms, potentially improving training efficiency.

RANK_REASON Academic paper detailing a novel analytical framework for an existing algorithm. [lever_c_demoted from research: ic=1 ai=1.0]

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  1. arXiv cs.AI TIER_1 · Donghwan Lee ·

    Switching-Geometry Analysis of Deflated Q-Value Iteration

    This paper develops a joint spectral radius (JSR) framework for analyzing rank-one deflated Q-value iteration (Q-VI) in discounted Markov decision process control. Focusing on an all-ones residual correction, we interpret the resulting algorithm through the geometry of switching …