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Deutsch(DE) Stabilizing Filters for Graph Signal Generation

新框架稳定图滤波器以改进信号生成

研究人员开发了一个新的图滤波器设计框架,以改进图信号的生成,特别是在底层图结构嘈杂或估计不完美的情况下。所提出的方法使用 Wasserstein 稳定性界来量化图扰动对生成信号分布的影响。该分析导致了一种原则性的方法来创建图滤波器,该滤波器在结构稳定性与信号平滑之间取得平衡,并通过显式多项式滤波器族提供可证明的稳定性保证。在合成和真实世界 fMRI 数据上的实验证明了这些新滤波器增强的稳定性和生成性能。 AI

影响 增强了图结构数据的生成模型的鲁棒性,可能改进神经影像和网络分析等领域的应用。

排序理由 该集群包含一篇详细介绍图信号生成新理论框架和实验验证的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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

新框架稳定图滤波器以改进信号生成

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该集群包含一篇详细介绍图信号生成新理论框架和实验验证的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 Deutsch(DE) · Martin Schmidt, Gonzalo Mateos ·

    用于图信号生成的稳定滤波器

    arXiv:2610.28318v1 Announce Type: cross Abstract: Generating graph signals is an important task in machine learning, and incorporating the underlying graph into a generative model enables structurally-informed distribution modeling. However, said graph is often noisy or imperfect…