Conditional Diffusion for Nonparametric Instrumental Variable Quantile Regression

arXiv:2608.08204 · stat.ML, cs.LG · Submitted 2026-08-08 · Read on arXiv

Xingdong Feng, Xinhong Jiang, Yuling Jiao, Lican Kang, Junwei Liu

stat.ML, cs.LG

Submitted: 2026-08-08

Updated: 2026-08-11

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

Terminology

• Diffusion Model — 37× in this paper · explained in 10 episodes
• Diffusion Models — 7× in this paper · explained in 9 episodes
• Monte Carlo Sampling — 4× in this paper · explained in 2 episodes
• Score Function — 4× in this paper · explained in 4 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Diffusion Process — 3× in this paper · explained in 2 episodes
• ReLU Network — 3× in this paper · explained in 2 episodes
• Theoretical Guarantees — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Asymptotic Normality — 2× in this paper · explained in 2 episodes
• Composition — 2× in this paper · explained in 2 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 14 episodes
• Generative Modeling — 2× in this paper · explained in 3 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 6 episodes
• Causal Inference — 1× in this paper · explained in 5 episodes
• Clarity — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Copula — 1× in this paper · explained in 2 episodes
• Covariate Shift — 1× in this paper · explained in 3 episodes
• Curse of Dimensionality — 1× in this paper · explained in 6 episodes
• Degeneracy — 1× in this paper · explained in 4 episodes
• Denoising Autoencoder — 1× in this paper · explained in 2 episodes
• Error Decomposition — 1× in this paper · explained in 4 episodes
• Evaluation Protocol — 1× in this paper · explained in 2 episodes
• Inflation — 1× in this paper · explained in 2 episodes
• Localization — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Distribution Approximation and Statistical Estimation Guarantees of Generative Adversarial Networks
• Unveil Conditional Diffusion Models with Classifier-free Guidance: A Sharp Statistical Theory
• Deep Quantile Regression: Mitigating the Curse of Dimensionality Through Composition
• Diffusion Models with Heavy-Tailed Targets: Score Estimation and Sampling Guarantees

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