arXiv:2510.11955cs.LGcs.AI2025-10

提出新型生成流结构,让数据样本共享路径后分叉,更贴近真实数据层级关系。

Y-Shaped Generative Flows

  • 样本沿共享路径移动后分叉,模拟数据层级结构
  • 在图像和生物数据上提升分布匹配度,减少生成步数
  • 仅需少量修改现有模型,可扩展至大规模数据

现代连续时间生成模型通常采用 extit{V形}流:每个样本从先验独立地沿近似直线轨迹移向数据。尽管有效,但这种独立运动忽略了真实数据中存在的层级结构。为此,我们提出 extit{Y形生成流},使样本沿共享路径共同前行后再分叉至目标特定终点。该框架理论合理且实用,仅需对标准速度驱动模型做最小改动。通过可扩展的神经网络训练目标实现。在合成数据、图像和生物数据集上的实验表明,该方法能恢复层次感知结构,在分布度量上优于强基线流模型,并以更少步骤达到目标。

原文摘要 · Abstract (English)

Modern continuous-time generative models typically induce \emph{V-shaped} flows: each sample travels independently along a nearly straight trajectory from the prior to the data. Although effective, this independent movement overlooks the hierarchical structures that exist in real-world data. To address this, we introduce \emph{Y-shaped generative flows}, a framework in which samples travel together along shared pathways before branching off to target-specific endpoints. Our formulation is theoretically justified, yet remains practical, requiring only minimal modifications to standard velocity-driven models. We implement this through a scalable, neural network-based training objective. Experiments on synthetic, image, and biological datasets demonstrate that our method recovers hierarchy-aware structures, improves distributional metrics over strong flow-based baselines, and reaches targets in fewer steps.

生成模型流模型层级结构连续生成

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