论文标题
双正规化最佳运输
Dual Regularized Optimal Transport
论文作者
论文摘要
在本文中，我们提出了一种新的公式，称为双重正则化最佳传输（Drot）的不平衡最佳运输。我们认为，将最佳运输的双重配方正规化导致一种不平衡的最佳运输，从而导致解决方案稀疏，这使我们可以控制质量创造和破坏。我们在这种控制背后建立直觉，并介绍解决方案的理论特性。我们证明，由于最新的优化技术进步，我们可以在大尺度上解决此类公式，并为此配方及其解决方案提供广泛的实验证据。
In this paper, we present a new formulation of unbalanced optimal transport called Dual Regularized Optimal Transport (DROT). We argue that regularizing the dual formulation of optimal transport results in a version of unbalanced optimal transport that leads to sparse solutions and that gives us control over mass creation and destruction. We build intuition behind such control and present theoretical properties of the solutions to DROT. We demonstrate that due to recent advances in optimization techniques, we can feasibly solve such a formulation at large scales and present extensive experimental evidence for this formulation and its solution.
