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Luca Herranz-Celotti

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#artificial intelligence Preprint Sep 2026

RunningTensor: Generalizing Linear Attention to Higher-Order Recurrent States

The RunningTensor is introduced, which generalizes this memory to an order-o tensor, updated by a rank-1 outer product and read by contracting against $o-1$ vector queries, and improves performance on language-understanding and non-synthetic retrieval tasks, suggesting that higher-order recurrent state can provide usef...

Luca Herranz-Celotti, Vincent Guigue · 1 citation

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