Fully Bayesian Spectral Clustering and Benchmarking with Uncertainty Quantification for Small Area Estimation

arXiv:2512.15643 · stat.ME, stat.ML · Submitted 2025-12-17 · Read on arXiv

stat.ME, stat.ML

Submitted: 2025-12-17

Updated: 2026-10-10

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

Terminology

• Clustering — 66× in this paper · explained in 2 episodes
• Benchmarking — 45× in this paper · explained in 4 episodes
• Spectral clustering — 36× in this paper · explained in 2 episodes
• Regularization — 26× in this paper · explained in 3 episodes
• Small Area Estimation — 24× in this paper
• Objective Function — 21× in this paper · explained in 2 episodes
• Mean Square Error — 10× in this paper
• Posterior Mean Square Error — 8× in this paper
• Adjacency Matrix — 6× in this paper · explained in 1 episode
• Conditional Posterior Mean Square Error — 6× in this paper
• Proportion of Households with Internet Access — 6× in this paper
• Bayesian Framework — 5× in this paper · explained in 3 episodes
• Uncertainty Quantification — 5× in this paper · explained in 9 episodes
• Bayesian Inference — 4× in this paper · explained in 5 episodes
• Multidimensional Poverty Index — 4× in this paper
• Accuracy — 3× in this paper · explained in 1 episode
• Aggregation — 3× in this paper · explained in 1 episode
• Generalized Variance Function — 2× in this paper
• Homogeneity — 2× in this paper · explained in 2 episodes
• Average Absolute Deviation — 1× in this paper
• Benchmark — 1× in this paper · explained in 2 episodes
• CPMSE and the Coefficient of Variation — 1× in this paper
• Constrained Quadratic Optimization Problem — 1× in this paper
• Deviance Information Criterion — 1× in this paper
• Empirical Best Linear Unbiased Predictor — 1× in this paper
• Hyperparameters — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Mean-Squared Prediction Error — 1× in this paper
• National Quality of Life Survey — 1× in this paper
• Papers — 1× in this paper · explained in 3 episodes
• Regularized Task Kernel Learning — 1× in this paper
• Squared Loss Function — 1× in this paper
• Sustainable Development of the United Nations — 1× in this paper

Sources

• Posterior Projection for Inference in Constrained Spaces

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