Triadic Linear Attention: extending matrix-state RNNs to a 3D tensor state

ChengleiSi · x · 2026-10-05

Starting from the observation that linear attention is arguably the most naive RNN yet massively outperforms traditional RNNs by maintaining a matrix state, the author proposes a generalization: use a (triadic) outer product of three vectors to maintain a three-dimensional tensor state, dubbed Triadic Linear Attention. The thread expands on the technical details of this new state-space design for linear attention models.

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