Copula Transformations for Data-Consistent Inversion

arXiv:2609.02832 · stat.ML, math.OC, math.PR, math.ST, stat.TH · Submitted 2026-09-02 · Read on arXiv

stat.ML, math.OC, math.PR, math.ST, stat.TH

Submitted: 2026-09-02

Updated: 2026-09-06

Code: https://github.com/CU-Denver-UQ/Iterative-DCI

Terminology

• Copula — 171× in this paper · explained in 2 episodes
• Inverse Problem — 21× in this paper · explained in 2 episodes
• Accuracy — 7× in this paper · explained in 1 episode
• Uncertainty Quantification — 7× in this paper · explained in 8 episodes
• Bayesian Inference — 2× in this paper · explained in 5 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• ASME International Conference on Advanced Intelligent Mechatronics — 1× in this paper
• Adaptation — 1× in this paper · explained in 1 episode
• Adaptive Sampling — 1× in this paper · explained in 1 episode
• Adaptive Strategy — 1× in this paper · explained in 1 episode
• Adaptive sampling strategy — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Background on Data-Consistent Inversion — 1× in this paper
• Bayesian Framework — 1× in this paper · explained in 3 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Kullback-Leibler (KL) Divergence — 1× in this paper · explained in 3 episodes
• Learning Uncertain Quantities — 1× in this paper
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Stochastic Inverse Problem: stability, regularization and Wasserstein gradient flow
• Inverse Problems Over Probability Measure Space

Related papers

• Behavior of prediction performance metrics with rare events
• Optimal Estimation of Generic Dynamics by Path-Dependent Neural Jump ODEs
• A Posterior-Dynamics Framework for Imaging Inverse Problems with Pretrained Diffusion Priors
• One Permutation Is All You Need: Fast, Deterministic Feature Importance and Model Stress-Testing
• Online Conformal Prediction for Non-Exchangeable Panel Data
• Deep Time-Series Forecasting in 10 Years: A Survey