Matched Queries for Curvature and Density at Branching Junctions

arXiv:2609.01319 · stat.ML, cs.LG · Submitted 2026-09-01 · Read on arXiv

stat.ML, cs.LG

Submitted: 2026-09-01

Updated: 2026-09-01

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

Terminology

• Accuracy — 11× in this paper · explained in 1 episode
• Calibration — 10× in this paper · explained in 7 episodes
• Consistency — 5× in this paper · explained in 3 episodes
• Generative Modeling — 2× in this paper · explained in 3 episodes
• Intrinsic Dimension — 2× in this paper · explained in 2 episodes
• Inverse Problem — 2× in this paper · explained in 2 episodes
• Aggregation — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Ambient Dimension — 1× in this paper · explained in 1 episode
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Generative Models — 1× in this paper · explained in 2 episodes
• Riemannian optimization — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes

Sources

• Boundary-layer asymptotics for Gaussian-smoothed singular measures
• Rao-Blackwellized Score Matching on Manifolds
• Diffusion Model for Manifold Data: Score Decomposition, Curvature, and Statistical Complexity

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