Cyclic Geometry

One of the geometric structures used to characterize reasoning task representations in language models, used as a test case for manifold steering

Neighborhood — ranked by edge-count

concept

Cyclic Concept Geometry
related_to
The circular geometric structure that cyclically ordered concepts (days, months) exhibit in both representation and behavior space.
Neural Representation Geometry
associated_with
The broader conceptual framework that neural activations exhibit non-Euclidean geometric structure causally linked to behavior.

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.

Geometryconcept0.791
The actual shapes and spatial relationships of buildings, essential to living structure.
Causal Geometryframework0.789
Chvykov and Hoel's geometric extension of causal emergence to continuous systems using Fisher information.
Sequential Geometryconcept0.789
A geometric structure characterizing sequential reasoning task representations, used as a test case for manifold steering
Graph Geometryconcept0.789
A more complex geometric structure used to characterize in-context learning task representations
Reasoning tasks with cyclic and sequential geometriesconcept0.788
Language model experimental setting used to test manifold steering.
Cyclic Fixed Pointconcept0.771
The key theoretical contribution: each layer in a cyclic recurrence converges to a distinct fixed point, tracing a consistent trajectory in latent space
Cyclic Recurrenceframework0.763
The specific looped mechanism studied: a fixed sequence of layers repeated in a cyclic pattern
Information Geometryframework0.754
Second lens; used to elucidate attachment and suffering via KL divergence.