Error Analysis of Neural-Network-Based Engression

arXiv:2607.27723 · stat.ML, cs.LG, stat.ME · Submitted 2026-07-30 · Read on arXiv

Juntong Chen, Zijian Guo, Xinwei Shen

stat.ML, cs.LG, stat.ME

Submitted: 2026-07-30

Comments: 37 pages, 1 figure

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

Terminology

• Activation Function — 4× in this paper · explained in 1 episode
• Error Decomposition — 4× in this paper · explained in 3 episodes
• Generative Modeling — 3× in this paper · explained in 3 episodes
• Loss Function — 3× in this paper · explained in 2 episodes
• Sparsity — 3× in this paper · explained in 4 episodes
• Ambient Dimension — 2× in this paper · explained in 1 episode
• Decoupling — 2× in this paper · explained in 2 episodes
• Generative Model — 2× in this paper · explained in 2 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Representation Learning — 2× in this paper · explained in 2 episodes
• Theoretical Guarantees — 2× in this paper · explained in 2 episodes
• Curse of Dimensionality — 1× in this paper · explained in 6 episodes
• Generative Adversarial Networks (GANs) — 1× in this paper · explained in 3 episodes
• Heteroscedasticity — 1× in this paper · explained in 2 episodes
• VC Dimension — 1× in this paper · explained in 2 episodes

Sources

• Neural Generative Distributional Regression
• Semi-Supervised Learning on Graphs using Graph Neural Networks
• Theoretical Analysis of Engression and Reverse Markov Engression
• Generative Modelling via Quantile Regression

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