Geometric stability of neural population codes, quantified by split-half RDM Spearman correlation, is behaviorally relevant, regionally variable opposite to temporal stability, and supported by recurrent excitatory coupling in attractor networks.
Raju.Shesha: Self-Consistency Metrics for Representational Stability
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A geometric phase transition produces crystalline hippocampal coding in food-caching birds that yields over 100-fold higher location memory capacity than the mist-like coding in non-caching birds.
Task-aligned supervised geometric stability predicts linear steerability with high accuracy while unsupervised stability detects representational drift earlier and with lower false alarms than CKA or Procrustes.
Discrete tokenization in scientific foundation models imposes a geometric alignment tax that distorts continuous manifolds, with continuous heads reducing distortion by up to 8.5x and exposing three failure regimes in 14 biological models.
Geometric stability, defined as the directional coherence of cellular responses to perturbation, provides a framework for assessing whether resulting cellular states are stable beyond conventional metrics of intervention success.