arXiv AI By Mayank Mishra, Shawn Tan, Ion Stoica, Joseph E. Gonzalez, Tri Dao

M$^2$RNN: Non-Linear RNNs with Matrix-Valued States for Scalable Language Modeling

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M$^2$RNN introduces matrix‑valued hidden states and expressive non‑linear transitions for recurrent neural networks, addressing the limited expressive power of transformers. The architecture scales efficiently with tensor cores, achieving perfect state‑tracking generalization on unseen sequence lengths and outperforming hybrid Gated DeltaNet models by 0.4–0.5 perplexity points on a 7B MoE model while using three‑times smaller recurrent states. Even a single M$^2$RNN layer in a hybrid architecture yields accuracy gains comparable to full Hybrid M$^2$RNN, and improves long‑context performance on LongBench by up to 8 points over state‑of‑the‑art hybrid linear attention models.

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