Cosine projection on reflection direction

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• Reflection direction extractionmethod0.787
  Computes reflection direction as mean difference between MLP and attention output representations of first tokens in reflection vs. non-reflection steps
• Latent Direction of Reflectionconcept0.784
  The paper's central construct: a vector in LLM activation space encoding the transition between reflection levels.
• Reflection Symmetryconcept0.778
  One of four key isometries; reflection across a line (mirror line or axis of reflection).
• Cosine similarity between perturbed and baseline residual streams returns toward 1.0 and projection onto injection direction decays exponentially over subsequent layersfinding0.763
  Mechanistic evidence that network actively attenuates injected perturbations, explaining late-layer introspection failure
• The last layer of the transformer has the largest projection magnitude on the reflection direction, likely because it directly controls generation of reflection keywordsclaim0.763
  Interpretive claim from attention head attribution analysis in appendix
• Cosine Similarity Measurementmethod0.752
  Used to measure alignment between DIM direction and cone basis vectors to assess overlap
• Accuracy does not vary linearly with latent reflection directions; instead it follows a more non-linear mapping that requires deeper theoretical treatment.claim0.751
  Theoretical limitation identified by the authors distinguishing reflection from stylistic tasks.
• Self-reflectionconcept0.750
  The ability of reasoning LLMs to review and revise previous reasoning steps during inference