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Paper · arXiv

The Attention Within: Consensus Dynamics in Selective State Space Models

Selective state space models (SSMs) have recently emerged as a compelling alternative to transformers, combining competitive performance with substantially improved inference efficiency. At each SSM layer, a sequence of hidden states are propagated by a recurrence, mixing information of different tokens. Despite using a different mechanism, this mixing plays a role analogous to attention in transformers. In fact, recent works have shown that the two architectures may be closer than they first appear, as this recurrence admits a formulation akin to linear attention. In transformers, attention is known to drive the tokens to cluster, i.e., to reach consensus, collapsing in the limit to a si...

AuthorsJoão Pedro Silvestre, Álvaro Rodríguez Abella, Paulo Tabuada
Primary categorycs.LG
Published16 September 2026
Last updated at source16 September 2026
cs.LGcs.AIeess.SYmath.DSmath.OC
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