Author

Vincent Guigue

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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

Jul 2026

Semantic Space Search Trajectory Networks

The results show that semantic space STNs capture functional training dynamics arising from the interaction between learning algorithms and data, providing a tool for analyzing and comparing learning dynamics across machine learning models and training regimes.

Julian Agudelo, A. Tonda, Gabriela Ochoa et al. · arXiv.org · 0 citations