Measuring Memory and Generalization as Separable Geometric Channels: The Topo squared Framework

arXiv:2608.30487 · cs.LG, cs.AI · Submitted 2026-08-31 · Read on arXiv

cs.LG, cs.AI

Submitted: 2026-08-31

Updated: 2026-08-31

Terminology

• Generalization — 18× in this paper · explained in 13 episodes
• Robustness — 4× in this paper · explained in 5 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Core — 3× in this paper · explained in 2 episodes
• Homogeneity — 2× in this paper · explained in 2 episodes
• In International Conference on Learning Representations — 2× in this paper
• Trace — 2× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Intrinsic Dimension — 1× in this paper · explained in 2 episodes
• Persistent Homology — 1× in this paper · explained in 3 episodes
• Point Clouds — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Topological Data Analysis for Neural Network Analysis: A Comprehensive Survey

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