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English(EN) Analytical Extraction of Conditional Sobol' Indices via Basis Decomposition of Polynomial Chaos Expansions

新方法解析提取PCE模型的条件Sobol指数

本文介绍了一种提取条件Sobol指数的新方法,这对于理解特定条件下的系统敏感性至关重要。该方法利用多项式混沌展开(PCE)基函数的固有属性来解析推导这些指数。该技术避免了计算密集型的逐点建模或额外采样,将敏感性分析转化为代数后处理步骤。 AI

影响 为参数化系统中的敏感性分析提供了一种计算效率更高、更鲁棒的方法。

排序理由 该集群描述了一篇在arXiv上发表的学术论文,详细介绍了一种新的不确定性量化方法。

在 arXiv stat.ML 阅读 →

AI 生成摘要 · Google Gemini · 来自 2 个来源。 我们如何撰写摘要 →

新方法解析提取PCE模型的条件Sobol指数

报道来源 [2]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    Analytical Extraction of Conditional Sobol' Indices via Basis Decomposition of Polynomial Chaos Expansions

    In uncertainty quantification, evaluating sensitivity measures under specific conditions (i.e., conditional Sobol' indices) is essential for systems with parameterized responses, such as spatial fields or varying operating conditions. Traditional approaches often rely on point-wi…

  2. arXiv stat.ML TIER_1 English(EN) · Jiangfeng Fu ·

    Analytical Extraction of Conditional Sobol' Indices via Basis Decomposition of Polynomial Chaos Expansions

    In uncertainty quantification, evaluating sensitivity measures under specific conditions (i.e., conditional Sobol' indices) is essential for systems with parameterized responses, such as spatial fields or varying operating conditions. Traditional approaches often rely on point-wi…