Accelerate Vector Diffusion Maps by Landmarks

arXiv:2603.21247 · stat.ML, cs.LG, math.DG, physics.data-an · Submitted 2026-03-22 · Read on arXiv

stat.ML, cs.LG, math.DG, physics.data-an

Submitted: 2026-03-22

Updated: 2026-08-30

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

Terminology

• Vector Diffusion Maps — 28× in this paper
• Embeddings — 6× in this paper · explained in 2 episodes
• Graph Connection Laplacian — 5× in this paper
• Accuracy — 4× in this paper · explained in 1 episode
• Core — 3× in this paper · explained in 2 episodes
• Cosine Similarity — 3× in this paper · explained in 3 episodes
• Diffusion Process — 3× in this paper · explained in 2 episodes
• Theoretical Guarantees — 3× in this paper · explained in 2 episodes
• Alignment — 2× in this paper · explained in 1 episode
• Robustness — 2× in this paper · explained in 5 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Pairwise Comparisons — 1× in this paper · explained in 2 episodes
• Point Clouds — 1× in this paper · explained in 2 episodes
• Principal Component Analysis (PCA) — 1× in this paper · explained in 4 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes

Sources

• Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime

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