SPARK: A General Goodness-of-Fit Assessment via Residual Projection

arXiv:2609.37705 · 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

Comments: 50 pages, 11 figures

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

Terminology

• Consistency — 5× in this paper · explained in 3 episodes
• Activation Function — 3× in this paper · explained in 1 episode
• Accuracy — 2× in this paper · explained in 1 episode
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Unified Framework — 2× in this paper · explained in 5 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Adversarial Training — 1× in this paper · explained in 1 episode
• Calibration — 1× in this paper · explained in 7 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Sup-Norm Convergence of Deep Neural Network Estimator for Nonparametric Regression by Adversarial Training
• Effective Positive Cauchy Combination Test

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