Cyclic Concept Geometry

The circular geometric structure that cyclically ordered concepts (days, months) exhibit in both representation and behavior space.

Neighborhood — ranked by edge-count

concept

Cyclic Geometry
related_to
One of the geometric structures used to characterize reasoning task representations in language models, used as a test case for manifold steering
days of the week
associated_with
Primary case study demonstrating circular manifold structure in both behavior and representation space of Llama-3.1-8B.

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.

concept geometryconcept0.809
The spatial/geometric organization of conceptual structure within neural network representations; central to the paper's thesis.
Months of the year as cyclic conceptconcept0.780
Running example used throughout the paper; months cycle with period 12
Cyclic concept reasoning probingmethod0.760
Experimental paradigm using prompts like 'what month is six months after August?' to study model arithmetic
Schedule Conceptconcept0.757
Mechanical timer concept used throughout paper to illustrate operational principle and formal modeling of concepts
Reasoning tasks with cyclic and sequential geometriesconcept0.751
Language model experimental setting used to test manifold steering.
Frequent Conceptconcept0.731
Software Conceptsconcept0.729
cyclic reasoning tasksconcept0.726
Language model reasoning tasks with cyclic geometric structure used to test manifold steering.