Provably Shorter Scratchpads in Hybrid DeltaNet-Attention Decoders
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Abstract (arXiv)
We investigate the expressive power of hybrid recurrent-attention decoders, a class of architectures used in recent open-source language models such as Qwen3-Next and its successors. These models combine Gated Attention heads with recurrent Gated DeltaNet heads. Is there a formal advantage, in terms of model expressivity or efficiency, to such a hybrid architecture? We show that there is. We define parity-conditioned retrieval task and show that under constant-precision assumption, a Qwen-style hybrid of Gated DeltaNet and Gated Attention solves this task with a constant scratchpad, or equivalently O(1) chain-of-thought steps. In contrast, no similar solution exists for pure Gated DeltaNet models, while pure Gated Attention requires at least a polynomial scratchpad.
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References · 15
- 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 483
- 2019Theoretical Limitations of Self-Attention in Neural Sequence Modelscited by 286
- 2024Chain of Thought Empowers Transformers to Solve Inherently Serial Problemscited by 256
- 2022The Parallelism Tradeoff: Limitations of Log-Precision Transformerscited by 191
- 2021Saturated Transformers are Constant-Depth Threshold Circuitscited by 137
- 2023What Formal Languages Can Transformers Express? A Surveycited by 120
- 2024Unlocking State-Tracking in Linear RNNs Through Negative Eigenvaluescited by 97
- 2022Formal Language Recognition by Hard Attention Transformers: Perspectives from Circuit Complexitycited by 92
- 2025DeltaProduct: Improving State-Tracking in Linear RNNs via Householder Productscited by 69
- 2023Masked Hard-Attention Transformers Recognize Exactly the Star-Free Languagescited by 47
- 2024Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformerscited by 39
- 2023Logical Languages Accepted by Transformer Encoders with Hard Attentioncited by 37
3 more
- 2026Olmo Hybrid: From Theory to Practice and Backcited by 22
- 2024Lower Bounds on the Expressivity of Recurrent Neural Language Modelscited by 4
- 2026Parity, Sensitivity, and Transformerscited by 4
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- 2025InfiniteVL: Synergizing Linear and Sparse Attention for Highly-Efficient, Unlimited-Input Vision-Language Models
- 2026dQwen3.5: Hybrid-Attention Diffusion Language Models
- 2026RAM-Net: Linear-Time Sequence Modeling with Sparsely Addressable State