Dirichlet Process Mixtures of Trees with Gaussian Process Splits: A Bayesian Nonparametric Framework with Posterior Contraction Rate

arXiv:2609.27930 · stat.ME, cs.LG, math.ST, stat.ML, stat.TH · Submitted 2026-08-22 · Read on arXiv

stat.ME, cs.LG, math.ST, stat.ML, stat.TH

Submitted: 2026-08-22

Updated: 2026-08-22

Comments: Comments and questions welcome!

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

Terminology

• Uncertainty Quantification — 48× in this paper · explained in 8 episodes
• Robustness — 30× in this paper · explained in 5 episodes
• Calibration — 22× in this paper · explained in 7 episodes
• Consistency — 20× in this paper · explained in 3 episodes
• Trace — 19× in this paper · explained in 2 episodes
• Core — 16× in this paper · explained in 2 episodes
• Adaptation — 12× in this paper · explained in 1 episode
• Accuracy — 9× in this paper · explained in 1 episode
• Benchmark — 9× in this paper · explained in 2 episodes
• Communication Overhead — 8× in this paper · explained in 2 episodes
• Interpretability — 8× in this paper · explained in 15 episodes
• VC Dimension — 8× in this paper · explained in 2 episodes
• Heteroscedasticity — 5× in this paper · explained in 2 episodes
• Theoretical Guarantees — 5× in this paper · explained in 2 episodes
• Verification — 5× in this paper · explained in 2 episodes
• Adaptivity — 4× in this paper · explained in 1 episode
• Bayesian Additive Regression Trees — 4× in this paper
• Regularization — 4× in this paper · explained in 3 episodes
• Sparsity — 4× in this paper · explained in 4 episodes
• Bayesian Inference — 2× in this paper · explained in 5 episodes
• Classification and Regression Tree — 2× in this paper
• Clustering — 2× in this paper · explained in 2 episodes
• Message Passing Interface — 2× in this paper
• Additivity — 1× in this paper · explained in 1 episode
• Computational Tractability — 1× in this paper · explained in 2 episodes
• Ensemble Approach — 1× in this paper · explained in 3 episodes
• Feature Selection — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Geometric Distribution — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Parsimony — 1× in this paper · explained in 2 episodes

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