When Noise Estimation Hides Basis Misspecification in Repeated Bayesian Inverse Problems

arXiv:2609.37762 · stat.ME, math.ST, stat.ML, stat.TH · Submitted 2026-09-29 · Read on arXiv

stat.ME, math.ST, stat.ML, stat.TH

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Benchmark — 36× in this paper · explained in 2 episodes
• Inverse Problem — 11× in this paper · explained in 2 episodes
• Calibration — 8× in this paper · explained in 7 episodes
• Accuracy — 6× in this paper · explained in 1 episode
• Anisotropy — 4× in this paper · explained in 3 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Generative AI — 3× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Reconstruction Error — 1× in this paper · explained in 2 episodes

Sources

• Sequential Structure-Sensitive Residual Diagnostics for PDE Inverse Problems

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