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Paper · arXiv

Spectral Origins of the Self-Correction Blind Spot in Autoregressive Generation

Large autoregressive language models exhibit a self-correction blind spot: they reliably fix identical errors when attributed to an external source yet fail to fix the same errors in their own outputs. Prior work has documented this phenomenon empirically, through controlled error injection, error-depth decompositions, RL-based verifier-corrector training, and intrinsic self-verification, but offers no formal model of why generating a token suppresses the ability to detect its error, no quantitative activation condition for correction markers, and no convergence guarantee for reinforcement-learning-based self-correction. We close these gaps with SPARC, a spectral-algebraic theory of self-...

AuthorsIngrid Petrova, Luan Vejsiu
Primary categorycs.LG
Published9 July 2026
Last updated at source9 July 2026
cs.LGcs.CL
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