Inverse Problems Conditioned on Observation Ensembles: Applications and Methods

arXiv:2601.22029 · cs.LG, stat.ML · Submitted 2026-01-29 · Read on arXiv

cs.LG, stat.ML

Submitted: 2026-01-29

Updated: 2026-09-23

Code: https://github.com/ZhengyanHuan/The-Ensemble-Inverse-Problem--Applications-and-Methods

Terminology

• Generalization — 14× in this paper · explained in 13 episodes
• Generative Model — 14× in this paper · explained in 2 episodes
• Transformer — 14× in this paper · explained in 2 episodes
• Generative Models — 12× in this paper · explained in 2 episodes
• Inverse Problem — 11× in this paper · explained in 2 episodes
• Wasserstein Distance — 6× in this paper · explained in 4 episodes
• Point Clouds — 5× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Adam — 3× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Denoising Diffusion Probabilistic Models — 3× in this paper
• Ensemble Inverse Problem — 3× in this paper
• Flow Matching — 3× in this paper · explained in 7 episodes
• Generative Modeling — 3× in this paper · explained in 3 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Set Attention Block — 2× in this paper
• Core — 1× in this paper · explained in 2 episodes
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Diffusion Models — 1× in this paper · explained in 6 episodes
• Generative Adversarial Networks (GANs) — 1× in this paper · explained in 3 episodes
• In-Context Learning — 1× in this paper · explained in 4 episodes
• Induced Set Attention Block — 1× in this paper
• Latent Space — 1× in this paper · explained in 7 episodes
• Normalizing Flow — 1× in this paper · explained in 3 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Optimal Transport (OT) — 1× in this paper · explained in 4 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes

Sources

• Solving Empirical Bayes via Transformers

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