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Temporal abstraction alleviates spectral mismatch in FB representations

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Seyed Mahdi B. Azad and co-authors propose using temporal abstraction to alleviate spectral mismatch in forward-backward (FB) representations; the paper has been accepted to NeurIPS 2026. The authors state that a spectral mismatch exists between the high-rank transition dynamics of continuous environments and the low-rank bottleneck, and that temporal abstraction acts as a low-pass filter, suppressing high-frequency components and reducing the effective rank of the successor representation while preserving a formal bound on value function error. Experiments show that this spectral alignment is a key factor for stable FB learning under high discount factors; the authors state that bootstrapping is prone to error in this setting.

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11月9日
  1. arXiv cs.RO
    Spectral Alignment of Forward-Backward Representations: Mitigating Spectral Mismatch via Temporal Abstraction

    The paper analyzes the spectral mismatch between the high-rank transition dynamics of continuous environments and the low-rank bottleneck in forward-backward (FB) representations, and proposes temporal abstraction to mitigate this problem. Starting from the spectral properties of the transition operator, the authors show that temporal abstraction acts like a low-pass filter: it suppresses high-frequency components and reduces the effective rank of the successor representation, while preserving a formal bound on the value function error. Experiments show that this alignment is a key factor for stable FB learning at high discount factors. The work has been accepted to NeurIPS 2026.

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