论文标题

线性化的对撞机事件的最佳运输

Linearized Optimal Transport for Collider Events

论文作者

Cai, Tianji, Cheng, Junyi, Craig, Katy, Craig, Nathaniel

论文摘要

我们引入了一个有效的框架,用于使用线性化最佳传输工具(LOT)来计算对撞机事件之间的距离。这保留了最近引入的能量移动器的距离的许多优点,该距离量化了将一个事件重新分配到另一个事件所需的“工作”,同时大大降低了计算成本。它还提供了一种欧几里得的嵌入,适合简单的机器学习算法和可视化技术,我们在各种喷气标记示例中证明了这一点。 lot近似降低了最佳运输理论向对撞机物理学的不同应用的阈值。

We introduce an efficient framework for computing the distance between collider events using the tools of Linearized Optimal Transport (LOT). This preserves many of the advantages of the recently-introduced Energy Mover's Distance, which quantifies the "work" required to rearrange one event into another, while significantly reducing the computational cost. It also furnishes a Euclidean embedding amenable to simple machine learning algorithms and visualization techniques, which we demonstrate in a variety of jet tagging examples. The LOT approximation lowers the threshold for diverse applications of the theory of optimal transport to collider physics.

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