内容提示: 学校代码:10272学 号:2018212221SHANGHAI UNIVERSITY OF FINANCE AND ECONOMICS硕 士学位论文MASTER DISSERTATION2-Wasserstein 分布式鲁棒优化的两阶段问题转化Tractable Reformulations of Distributionally Robust Two-stageStochastic Programs with 2-Wasserstein Distance作者:王昊明院(系所) 数学学院专 业 应用...
2阶wasserstein_distance公式 Wasserstein距离(也称为Earth Mover's Distance)的二阶形式在数学上可以表示为: W_2(\mu, \nu) = \left( \min_{\gamma \in \Pi(\mu, \nu)} \int \int \|x - y\|^2 \, d\gamma(x, y) \right)^{1/2}W2(μ,ν)=(minγ∈Π(μ,ν)∫∫∥x−y∥2dγ...
作为一种有效解决传统全波形反演(FWI)中周波跳跃问题的方法,基于2-Wasserstein距离的全波形反演(OT-FWI)通常需要采用适当的数据规则化方法.为此,将Sigmoid函数作为数... 孔庆丰 - 《石油物探》 被引量: 0发表: 2024年 基于雷达数据的小行星内部结构全波形反演成像研究 随着深空探测技术的发展,小行星已成为21世纪深...
,1-Wasserstein 距离可以写为 和 2-Wasserstein 距离为 这里 和 参考u和v的累积密度函数,以及由下式定义的相应伪逆累积密度函数 代码假定(与 不同) u和v是离散且均匀的概率分布。 在这种情况下,存在样本使得任何u分布的随机变量满足所有k。 这些样本是函数的输入,让我们不失一般性地假设它们越来越排序,然后累积...
Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media 来自 Springer 喜欢 0 阅读量: 119 作者:JA Carrillo,RJ Mccann,C Villani 摘要: An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through ...
Wasserstein-2 Optimal Transport (w2ot) w2ot is JAX software by Brandon Amos for estimating Wasserstein-2 optimal transport maps between continuous measures in Euclidean space. This is the official source code behind the paper on amortizing convex conjugates for optimal transport, which also unifies ...
This is a compact Matlab code to compute the 1- and 2-Wasserstein distances for one dimensional probability distributions. Refer to Wikipedia for a general definition of the Wasserstein distance w p . This implementation is based on the fact that for given distributions u and v the 1-Wasserstei...
This note is a continuation of the author's previous work on "Sharp bounds for the max-sliced Wasserstein distance." We use the same technique to obtain an upper bound for the expected max-sliced 2-Wasserstein distance between a compactly supported symmetric probability measure on a Euclidean sp...
*SHIPS WITHIN 1 - 2 WORKING DAYS IMPROVED AND SECURE VIEWING - The Wasserstein Gutter Mount designed for Arlo Pro, Arlo Pro 2, Arlo Pro 3, Arlo HD, Arlo Ultra and other compatible cameras gives a bird’s eye view for surveillan...
Paper tables with annotated results for Do Neural Optimal Transport Solvers Work? A Continuous Wasserstein-2 Benchmark