Hybrid Uncertainty Sensitivity Analysis Based on the HSIC for High-Dimensional Responses with Aleatory--Epistemic Separation

arXiv:2606.14053 · stat.ML, cs.LG · Submitted 2026-06-12 · Read on arXiv

stat.ML, cs.LG

Submitted: 2026-06-12

Updated: 2026-09-20

Comments: The authors have identified several issues in the current version of the manuscript that require further examination and correction. The paper is therefore withdrawn to allow the authors to address these issues before submitting a revised version

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Epistemic Uncertainty — 13× in this paper · explained in 10 episodes
• Latent Space — 11× in this paper · explained in 7 episodes
• Global Sensitivity Analysis — 9× in this paper
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Copula — 4× in this paper · explained in 2 episodes
• Decoupling — 4× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Fidelity — 3× in this paper · explained in 2 episodes
• Latin Hypercube Sampling — 3× in this paper
• Uncertainty Quantification — 3× in this paper · explained in 8 episodes
• Maximum Mean Discrepancy — 2× in this paper
• Reproducing Kernel Hilbert Spaces — 2× in this paper
• Verification — 2× in this paper · explained in 2 episodes
• Aggregation — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Cumulative Distribution Function — 1× in this paper
• Embeddings — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Existing Hilbert--Schmidt Independence Criterion — 1× in this paper
• Feature Selection — 1× in this paper · explained in 4 episodes
• Latent Representation — 1× in this paper · explained in 2 episodes
• Physical Constraints — 1× in this paper · explained in 7 episodes
• Reproducing Kernel Hilbert Space (RKHS) — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Uncertainty Decomposition — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Kernel-based ANOVA decomposition and Shapley effects -- Application to global sensitivity analysis

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