详解切片最优传输采样策略，助你选对方法。
A User's Guide to Sampling Strategies for Sliced Optimal Transport
- 系统梳理多种采样构造方法与生成复杂度。
- 实验证明不同策略在模拟与真实数据上的表现差异。
- 适合需要高效计算最优传输的科研与工程人员。
本文作为切片最优传输采样策略的用户指南，回顾并补充了切片 Wasserstein 距离的相关正则性结果。详细说明了每种采样策略的构建方法、生成时间复杂度、理论保证及适用条件。通过在模拟数据和真实数据上的大量实验，对比分析各策略的表现，最终给出实际应用中的优化建议。研究为切片最优传输的采样选择提供了理论支持与实践指导。
原文摘要 · Abstract (English)
This paper serves as a user's guide to sampling strategies for sliced optimal transport. We provide reminders and additional regularity results on the Sliced Wasserstein distance. We detail the construction methods, generation time complexity, theoretical guarantees, and conditions for each strategy. Additionally, we provide insights into their suitability for sliced optimal transport in theory. Extensive experiments on both simulated and real-world data offer a representative comparison of the strategies, culminating in practical recommendations for their best usage.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品；中文卡片由大模型生成，请以原文为准。