arXiv:2603.20987cs.LGcond-mat.dis-nn2026-03

揭秘扩散Transformer中生成模式分化的隐藏机制。

Interpreting the Synchronization Gap: The Hidden Mechanism Inside Diffusion Transformers

  • 通过双轨迹联合建模与交叉注意力,解析模型内部同步间隙的形成机制。
  • 同步间隙是深层结构固有特性,仅在最后几层出现且随耦合增强而消失。
  • 全局低频结构先于局部高频细节完成生成,适用于理解生成过程的层次性。

近期理论模型将扩散过程视为耦合的奥恩斯坦-乌伦贝克系统,预测存在不同阶段完成生成的模式间同步间隙。然而,这些预测基于连续时间与可解析得分函数,难以直接映射到实际深度离散架构。本文研究预训练扩散Transformer(DiT-XL/2)中该现象的机制实现。通过将两条生成轨迹嵌入联合标记序列,并引入可调耦合强度g的对称交叉注意力门,构建显式副本耦合结构。线性化分析显示副本相互作用可被解耦。在预训练DiT-XL/2模型上实证验证:(1) 同步间隙是DiTs的内在属性,即使关闭外部耦合仍存在;(2) 与空间路由边界预测一致,强耦合下间隙完全消失;(3) 间隙严格局域于网络末尾几层;(4) 全局低频结构始终早于局部高频细节完成生成。结果揭示了扩散Transformer如何通过分层机制化解生成歧义,将模式分化限制在末端层。

原文摘要 · Abstract (English)

Recent theoretical models of diffusion processes, conceptualized as coupled Ornstein-Uhlenbeck systems, predict a hierarchy of interaction timescales, and consequently, the existence of a synchronization gap between modes that commit at different stages of the reverse process. However, because these predictions rely on continuous time and analytically tractable score functions, it remains unclear how this phenomenology manifests in the deep, discrete architectures deployed in practice. In this work, we investigate how the synchronization gap is mechanistically realized within pretrained Diffusion Transformers (DiTs). We construct an explicit architectural realization of replica coupling by embedding two generative trajectories into a joint token sequence, modulated by a symmetric cross attention gate with variable coupling strength g. Through a linearized analysis of the attention difference, we show that the replica interaction decomposes mechanistically. We empirically validate our theoretical framework on a pretrained DiT-XL/2 model by tracking commitment and per layer internal mode energies. Our results reveal that: (1) the synchronization gap is an intrinsic architectural property of DiTs that persists even when external coupling is turned off; (2) as predicted by our spatial routing bounds, the gap completely collapses under strong coupling; (3) the gap is strictly depth localized, emerging sharply only within the final layers of the Transformer; and (4) global, low frequency structures consistently commit before local, high frequency details. Ultimately, our findings provide a mechanistic interpretation of how Diffusion Transformers resolve generative ambiguity, isolating speciation transitions to the terminal layers of the network.

扩散模型Transformer生成机制同步间隙

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