Testing Algebraic Complete Intersections

arXiv:2610.12288 · stat.ML, math.AG, math.DG, math.ST, stat.TH · Submitted 2026-10-08 · Read on arXiv

stat.ML, math.AG, math.DG, math.ST, stat.TH

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Sample Complexity — 21× in this paper · explained in 15 episodes
• Admissibility — 16× in this paper · explained in 2 episodes
• Ambient Dimension — 12× in this paper · explained in 1 episode
• Accuracy — 7× in this paper · explained in 1 episode
• Higher-order derivatives — 6× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Homogeneity — 3× in this paper · explained in 2 episodes
• Chebyshev Polynomials — 2× in this paper · explained in 2 episodes
• Intrinsic Dimension — 2× in this paper · explained in 2 episodes
• Spectral Gap — 2× in this paper · explained in 5 episodes
• Admissibility Conditions — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes

Sources

• Testing the variety hypothesis
• UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction

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