Structured Neural Chaos: An Adaptive Surrogate Modeling Framework for Functional Uncertainty Quantification and Global Sensitivity Analysis

arXiv:2607.28903 · stat.ML, cs.LG · Submitted 2026-07-31 · Read on arXiv

Isabel Corona Guevara, Yeping Hu

stat.ML, cs.LG

Submitted: 2026-07-31

Comments: 47 pages, 34 figures

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

Terminology

• Surrogate Modeling — 60× in this paper · explained in 2 episodes
• Uncertainty Quantification — 21× in this paper · explained in 9 episodes
• Accuracy — 17× in this paper · explained in 1 episode
• Sparsity — 15× in this paper · explained in 5 episodes
• Polynomial Chaos Expansion — 14× in this paper
• Orthogonal Projection — 13× in this paper · explained in 2 episodes
• Structured Neural Chaos — 11× in this paper
• Interpretability — 9× in this paper · explained in 15 episodes
• Parameterization — 8× in this paper · explained in 2 episodes
• Clarity — 7× in this paper · explained in 3 episodes
• Surrogate Model — 7× in this paper · explained in 3 episodes
• Surrogate Models — 7× in this paper · explained in 3 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Pruning — 6× in this paper · explained in 4 episodes
• Curse of Dimensionality — 5× in this paper · explained in 6 episodes
• Generalization — 5× in this paper · explained in 14 episodes
• Hyperparameters — 5× in this paper · explained in 2 episodes
• Robustness — 5× in this paper · explained in 6 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Polynomial Chaos Expansion (PCE) — 3× in this paper · explained in 2 episodes
• Uncertainty Propagation — 3× in this paper · explained in 4 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Ablation — 1× in this paper · explained in 1 episode
• Ablation Study — 1× in this paper · explained in 3 episodes
• Computational Efficiency — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• DeepONet — 1× in this paper · explained in 2 episodes
• Department of Energy — 1× in this paper
• Expressivity — 1× in this paper · explained in 2 episodes
• Gaussian Process (GP) — 1× in this paper · explained in 2 episodes
• Hierarchical Structure — 1× in this paper · explained in 3 episodes
• Multilayer Perceptron (MLP) — 1× in this paper · explained in 2 episodes
• National Nuclear Security Administration — 1× in this paper
• Uncertainty Quantification (UQ) — 1× in this paper · explained in 3 episodes
• Unsupervised Learning — 1× in this paper · explained in 2 episodes

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