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新方法可准确估计TimeGAN训练的MMD方差

研究人员开发了一种新方法,可以准确有效地估计最大均值差异(MMD)的方差,这在样本量不平衡的情况下尤其具有挑战性。所提出的方法提供了一个有限样本无偏估计量,并通过采用拉普拉斯核的递归前缀-后缀累积方案,将计算复杂度降低到O(N log N),内存为O(N)。该方法已被验证其理论精确性和数值稳定性,在时间序列生成对抗网络(TimeGAN)训练期间监控分布收敛方面被证明是有效的。 AI

影响 通过提供更准确的方差估计量,提高了时间序列生成模型的训练稳定性。

排序理由 这是一篇详细介绍具有生成模型应用的新统计方法的学术论文。

在 arXiv stat.ML 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

新方法可准确估计TimeGAN训练的MMD方差

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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Shijie Zhong, Yikun Yang, Da Gong, Jiangfeng Fu ·

    有限样本下MMD的无偏方差:精确估计与准线性计算

    arXiv:2601.13874v3 Announce Type: replace Abstract: Accurately and efficiently estimating the variance of the Maximum Mean Discrepancy (MMD) remains challenging, particularly for unbalanced sample sizes. In this paper, we derive a finite-sample unbiased estimator of the MMD varia…