finding

active

finding:geometry-behavior-correlate-robust-to-pooling-strategy-distance-metric-and-frozen-encoder

Geometry-behavior correlate robust to pooling strategy, distance metric, and frozen encoder

Robustness checks confirm sign stability.

Source paper

extracted_from

The Guanyin Protocol: A Framework for Immediately Establishing an Understanding of Both Causality and Compassion in LLM Systems Using Semantic Anchoring

(2025) · Edward Yi Chang · Kaya, Zeyneb N. · Ethan Chang

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Communities (2)

community

Manifold-aware concept steering in neural representations
members_of
Explores geometry of activation/behavior manifolds to enable selective, non-destructive concept interventions.
Covariance pooling for high-dimensional genomic embeddings
members_of
Using second-order statistics to compress activation patterns while preserving feature co-occurrence structure, tested on genomic prediction tasks without large labeled datasets.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

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

geometry-to-behavior correlateconcept0.783
Relationship where geometry summaries predict behavioral thresholds.
Representation geometry causally shapes behavior; activation and behavior manifolds are approximately isometric.claim0.765
representation geometry and behavior geometry are bidirectionally alignedclaim0.764
Core finding: the structure models use internally (representations) is precisely reflected in their external behavior (outputs).
There is a bidirectional relationship between the geometry of representation and behavior across tasks and modalities.claim0.762
Author’s interpretive claim that the shared geometry is general and robust.
Larger S_max correlates with smaller θ50 across backbones in E3 (negative association consistent across pooling and metric choices)finding0.751
Key geometry-to-behavior bridge finding in E3; robust to pooling choice, cosine vs. L2, and frozen external encoder
The alignment between representation geometry and behavior geometry is not limited to days of the week but extends to months, letters, ages, and synthetic in-context learning tasks.claim0.751
The paper's generalization claim, asserting that the days-of-week finding scales to other cyclic and structured concepts.
shared geometry of representation and behaviorconcept0.747
The bidirectional correspondence M_h ↔ M_y, indicating that geometry in representation is not incidental but causally shapes behavior.
There is a clear bidirectional relationship between the geometry of behavior and representation: steering along representation manifolds follows behavior manifolds, and vice versa.claim0.745
The paper's finding that the alignment holds in both directions — from representation to behavior and from behavior back to representation space.