Compositional Generalization via Structural Identification in a Category-Theoretic Framework

arXiv:2608.26465 · cs.CL, stat.ML · Submitted 2026-08-26 · Read on arXiv

cs.CL, stat.ML

Submitted: 2026-08-26

Updated: 2026-08-26

Terminology

• Generalization — 37× in this paper · explained in 13 episodes
• Admissibility — 13× in this paper · explained in 2 episodes
• Abstraction — 9× in this paper · explained in 1 episode
• Compositional Generalization — 9× in this paper · explained in 4 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Alternation — 4× in this paper · explained in 1 episode
• Benchmark — 4× in this paper · explained in 2 episodes
• Transformer — 4× in this paper · explained in 2 episodes
• Admissibility Conditions — 1× in this paper · explained in 1 episode
• Distribution Shift — 1× in this paper · explained in 6 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes

Sources

• A calculus of types in Isbell nuclei
• Projective metric geometry of tropical nuclei: gap matrices, event loci, and order chambers

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