Diffusion-Based Stochastic Operator Networks for Uncertainty Quantification in Stochastic Partial Differential Equations

arXiv:2605.17107 · stat.ML, cs.LG, math.OC, math.PR · Submitted 2026-05-16 · Read on arXiv

stat.ML, cs.LG, math.OC, math.PR

Submitted: 2026-05-16

Updated: 2026-10-16

Terminology

• Uncertainty Quantification — 2× in this paper · explained in 9 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• DeepONet — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes

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