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News/On the Expressive Power and Limitations of Multi-Layer SSMs
arxiv
PublishedOctober 22, 2026 at 4:00 AM

On the Expressive Power and Limitations of Multi-Layer SSMs

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arXiv:2604.14501v3 Announce Type: replace Abstract: We study how depth, finite precision, state dimension, and chain-of-thought (CoT) affect the expressive power of multi-layer state-space models (SSMs). For the explicit-table $K$-function-composition problem, a canonical benchmark for sequential in

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