Taylor-Calibrate: Principled Initialization for Hybrid Linear Attention Distillation

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Summary

Taylor-Calibrate proposes a principled initialization method for hybrid linear attention models that significantly improves the efficiency of distilling pretrained Transformers into Gated DeltaNet students, achieving up to 88x improvement and reducing training tokens by 4.9x-9.2x.

Hybrid linear attention models offer an appealing path to faster long-context inference: they reduce the quadratic cost and KV-cache burden of full softmax attention while retaining much of the quality of Transformer models. A practical way to obtain such models is to convert a pretrained Transformer instead of pretraining a new architecture from scratch, but this conversion is still brittle. Simply copying the teacher attention projections into a Gated DeltaNet (GDN) student does not specify the new recurrent decay, write, and output-gating dynamics. As a result, the converted model often starts in a poor dynamical regime and must spend many distillation tokens repairing initialization rather than learning the remaining teacher behavior. We propose Taylor-Calibrate, a lightweight initialization method for hybrid GDN students. The method uses Taylor-guided teacher attention statistics to set the value projection, memory timescale, write gates, and output gate, then applies a short per-layer alignment step to match each converted layer to the teacher output. Across four teacher settings and three retained-layer policies, Taylor-Calibrate gives substantially stronger zero-shot students, with up to an 88x improvement in a representative ablation, and reaches matched recovery targets with 4.9x--9.2x fewer training tokens than naive conversion.
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Source: https://huggingface.co/papers/2606.16429

Abstract

Hybrid linear attention models can be improved through a novel initialization technique that enhances conversion from pretrained Transformers by leveraging teacher attention statistics and alignment steps.

Hybrid linear attention modelsoffer an appealing path to faster long-context inference: they reduce the quadratic cost and KV-cache burden offull softmax attentionwhile retaining much of the quality of Transformer models. A practical way to obtain such models is to convert a pretrained Transformer instead of pretraining a new architecture from scratch, but this conversion is still brittle. Simply copying the teacherattention projectionsinto aGated DeltaNet(GDN) student does not specify the new recurrent decay, write, and output-gating dynamics. As a result, the converted model often starts in a poor dynamical regime and must spend manydistillation tokensrepairing initialization rather than learning the remaining teacher behavior. We propose Taylor-Calibrate, a lightweight initialization method for hybrid GDN students. The method uses Taylor-guided teacher attention statistics to set the value projection,memory timescale,write gates, andoutput gate, then applies a short per-layer alignment step to match each converted layer to the teacher output. Across four teacher settings and three retained-layer policies, Taylor-Calibrate gives substantially stronger zero-shot students, with up to an 88x improvement in a representative ablation, and reaches matched recovery targets with 4.9x--9.2x fewer training tokens than naive conversion.

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