Learning Generated Controls under Fractured Geometry: Projective Residualization and Variation-Allocation Frontiers

arXiv:2606.14636 · cs.LG · Submitted 2026-06-12 · Read on arXiv

cs.LG

Submitted: 2026-06-12

Updated: 2026-08-29

Comments: 86 pages, 9 figures, including supplementary material. Revised version; submitted to Artificial Intelligence

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

Terminology

• Benchmark — 36× in this paper · explained in 2 episodes
• Admissibility — 20× in this paper · explained in 2 episodes
• Fidelity — 15× in this paper · explained in 2 episodes
• Trace — 15× in this paper · explained in 2 episodes
• Calibration — 14× in this paper · explained in 7 episodes
• Consistency — 13× in this paper · explained in 3 episodes
• Regularization — 13× in this paper · explained in 3 episodes
• Alignment — 9× in this paper · explained in 1 episode
• Ablation — 8× in this paper · explained in 1 episode
• Abstention — 8× in this paper · explained in 1 episode
• Adaptation — 8× in this paper · explained in 1 episode
• Graph Construction — 6× in this paper · explained in 3 episodes
• Intrinsic Dimension — 6× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Adam — 4× in this paper · explained in 2 episodes
• Adaptive Graph — 4× in this paper · explained in 1 episode
• Residualization — 4× in this paper · explained in 2 episodes
• Ambient Dimension — 3× in this paper · explained in 1 episode
• Anisotropy — 3× in this paper · explained in 3 episodes
• Clustering — 3× in this paper · explained in 2 episodes
• Spectral clustering — 3× in this paper · explained in 2 episodes
• Admissibility Conditions — 2× in this paper · explained in 1 episode
• Degeneracy — 2× in this paper · explained in 3 episodes
• Empirical Coverage — 2× in this paper · explained in 2 episodes
• Gradient Flow — 2× in this paper · explained in 2 episodes
• Latent Representation — 2× in this paper · explained in 2 episodes
• Ablation study — 1× in this paper · explained in 1 episode
• Error Decomposition — 1× in this paper · explained in 3 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Verifier — 1× in this paper · explained in 2 episodes

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