BriefGPT.xyz
Sep, 2023
带有平滑指数测度的最优传输
Optimal Transport with Tempered Exponential Measures
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Ehsan Amid, Frank Nielsen, Richard Nock, Manfred K. Warmuth
TL;DR
在本文中,我们展示了对后者的一种推广,使用调和指数度量,即间接测量泛函广义的指数族,得到了一个非常方便的折中结果,既有非常快的近似算法,又可控制的稀疏度模式,且自然适用于非平衡最优传输问题的设置。
Abstract
In the field of
optimal transport
, two prominent subfields face each other: (i) unregularized
optimal transport
, ``\`a-la-Kantorovich'', which leads to extremely sparse plans but with algorithms that scale poorly
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