Emotion subspace overlap (SVD-based)

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• SAE Feature Emotion Subspace Overlap Metricmethod0.838
  Fraction of an SAE feature's length lying inside the 171-dimensional subspace spanned by emotion probes, computed via SVD orthogonalization
• Emotion Subspaceconcept0.818
  The subspace of activation space spanned by the 171 orthogonalized emotion probe vectors, used to measure SAE feature emotional alignment
• SVD Orthogonalization of Emotion Probesmethod0.782
  Orthogonalizes the 171 emotion probes via SVD to create an orthonormal basis for computing SAE feature subspace overlap
• SAE emotion subspace overlap correlates with variance-residualized persistence in Cogito: Spearman +0.413, p = 4.4e-196.finding0.776
  Strong positive relationship between emotion alignment and SAE feature persistence in Cogito
• The correlation between emotion subspace fraction and self-evaluated emotionality validates that emotion probe concepts somewhat overlap with the model's self-reported internal emotions.claim0.772
  Claim supporting the validity of the probe construction method via cross-validation with self-report
• SAE feature emotion subspace overlap correlates with persistence in Cogito: Spearman +0.413, p=4.4e-196finding0.762
  Demonstrates that SAE features more aligned with the emotion subspace are more persistent in Cogito after variance control
• Self-Other Overlapconcept0.735
  The extent to which a model exhibits similar internal representations when reasoning about itself and others in similar contexts
• Subspace DASmethod0.733
  Extension of DAS that learns a second rotation matrix on top of a fixed first one to decompose representations into sub-representations.