Trees from Marginals: Autoregressive drafting with factorized priors

πŸ“… 2026-07-07
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πŸ€– AI Summary
This work addresses the sharp decline in acceptance rates of speculative decoding when increasing the speculation budget under factorized draft models, a limitation stemming from their independence assumptions that undermines decoding efficiency. To overcome this, the authors propose Weaverβ€”a lightweight autoregressive adapter that constructs a proposal tree from the top-K marginal distributions of the factorized model, thereby restoring inter-token conditional dependencies without requiring full-vocabulary projections. Weaver introduces a novel paradigm for marginal-distribution-based proposal trees and incorporates a rollback-free tree verification algorithm, ensuring high generation quality while accelerating inference. Implemented with Gated Delta Net and optimized CUDA kernels via SGLang, Weaver achieves a 4.37Γ— speedup over standard autoregressive decoding and improves throughput by 24.7% compared to the DFlash baseline.
πŸ“ Abstract
Speculative decoding greatly increases the interactivity of autoregressive language models by trading off computation for extra tokens generated in a single forward pass. Factorized draft models are especially efficient because they predict future-token marginals in parallel, but their independence assumption causes acceptance rates to degrade sharply as the speculative budget grows. We analyze this limitation and introduce Weaver, a lightweight autoregressive adapter that constructs proposal trees from the top-K marginals of a factorized drafter. Weaver restores conditional dependencies between proposed tokens while avoiding a full-vocabulary projection. To support fast verification for models with Gated Delta Net layers, we derive a rollback-free tree-verification algorithm and implement optimized CUDA kernels in SGLang. By combining these model and systems contributions we achieve a 4.37-fold speedup over autoregressive decoding, and outperform a highly optimized DFlash baseline by 24.7%.
Problem

Research questions and friction points this paper is trying to address.

speculative decoding
factorized draft models
acceptance rate
autoregressive language models
conditional dependencies
Innovation

Methods, ideas, or system contributions that make the work stand out.

speculative decoding
factorized priors
proposal trees
autoregressive adapter
tree verification
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