Which metric on the space of collider events?
Which metric on the space of collider events?
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DOI：
10.1103/physrevd.105.076003
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发表时间：
2021-11
影响因子：
5
通讯作者：
Tianji Cai;Junyi Cheng;Katy Craig;N. Craig
中科院分区：
文献类型：
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作者：
Tianji Cai;Junyi Cheng;Katy Craig;N. Craig
哪个是对撞机事件空间的最佳度量？受能量移动器距离成功表征对撞机事件的启发，我们探索了更大的不平衡最优传输距离空间，其中能量移动器距离是一个特殊的例子。几何和计算方面的考虑有利于被称为Hellinger-Kantorovich距离的不平衡最优传输距离，它具有黎曼结构，有助于有效的线性化。基于线性化的Hellinger-Kantorovich距离，提出了粒子线性化的非平衡最优输运（pluOT）框架，并验证了其在推进射流标记中的有效性。这为对撞机物理应用提供了一个灵活且计算效率高的最佳传输框架。
Which is the best metric for the space of collider events? Motivated by the success of the Energy Mover's Distance in characterizing collider events, we explore the larger space of unbalanced optimal transport distances, of which the Energy Mover's Distance is a particular case. Geometric and computational considerations favor an unbalanced optimal transport distance known as the Hellinger-Kantorovich distance, which possesses a Riemannian structure that lends itself to efficient linearization. We develop the particle linearized unbalanced Optimal Transport (pluOT) framework for collider events based on the linearized Hellinger-Kantorovich distance and demonstrate its efficacy in boosted jet tagging. This provides a flexible and computationally efficient optimal transport framework ideally suited for collider physics applications.