Stable Density Ridges: Consistency and Convergence of Subspace Constrained Mean Shift

arXiv:2608.05112 · stat.ML, cs.LG · Submitted 2026-08-05 · Read on arXiv

Wanli Qiao

stat.ML, cs.LG

Submitted: 2026-08-05

Comments: 40 pages, 5 figures

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

Terminology

• Consistency — 17× in this paper · explained in 3 episodes
• Subspace Constrained Mean Shift — 9× in this paper
• Clustering — 7× in this paper · explained in 2 episodes
• Kernel Density Estimator — 4× in this paper
• Composition — 3× in this paper · explained in 2 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Dimensionality Reduction — 2× in this paper · explained in 2 episodes
• Higher-order derivatives — 2× in this paper · explained in 2 episodes
• Orthogonal Projection — 2× in this paper · explained in 2 episodes
• Absorb — 1× in this paper · explained in 1 episode
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Geometric interpretation — 1× in this paper · explained in 2 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Papers — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Spectral Gap — 1× in this paper · explained in 6 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Manifold Fitting

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