PulseAugur
LIVE 10:14:24
research · [2 sources] ·
0
research

New method analytically extracts conditional Sobol' indices from PCE models

This paper introduces a novel method for extracting conditional Sobol' indices, which are crucial for understanding system sensitivity under specific conditions. The approach leverages the inherent properties of Polynomial Chaos Expansion (PCE) basis functions to analytically derive these indices. This technique bypasses the need for computationally intensive point-wise modeling or additional sampling, transforming sensitivity analysis into an algebraic post-processing step. AI

Summary written by gemini-2.5-flash-lite from 2 sources. How we write summaries →

IMPACT Offers a more computationally efficient and robust method for sensitivity analysis in parameterized systems.

RANK_REASON The cluster describes an academic paper published on arXiv detailing a new method for uncertainty quantification.

Read on arXiv stat.ML →

New method analytically extracts conditional Sobol' indices from PCE models

COVERAGE [2]

  1. Hugging Face Daily Papers TIER_1 ·

    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 · 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…