concept
archived
concept:circular-geometric-representationCircular Geometric Representation
The core discovery: numbers are encoded as positions on multiple circles in activation space, each parameterized by modulus k.
Neighborhood — ranked by edge-count
Papers (1)
paper
Concepts (1)
concept
- Platonic Space / Convergent Representationsassociated_withTheoretical thread suggesting discoverable geometric priors shared across systems; circular number representations support this hypothesis.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- The broader conceptual framework that neural activations exhibit non-Euclidean geometric structure causally linked to behavior.
- The idea that features are encoded as directions in activation space.
- The paper's primary interpretive claim, directly answering the central question
- One-dimensional curved surface in internal activation space; the paper demonstrates alignment with behavior manifold.
- The actual shapes and spatial relationships of buildings, essential to living structure.
- The representation geometry finding that motivates the question about whether computation mirrors it
- Geometric property enforced by contrastive learning to ensure discriminative facet directions in SAE latent space
- The paper's concluding summary statement asserting the deep interpretive significance of representation geometry.