concept
archived
concept:cyclic-concepts-months-days

Cyclic concepts (months, days)

Natural language cyclic reasoning tasks (e.g., 'What month is six months after August?') that share the same addition circuit.

Neighborhood — ranked by edge-count

Concepts (1)

concept
  • Manifold Steering
    associated_with
    Central framework: steering neural networks by intervening along the curved manifold where a concept lives, rather than in straight lines through activation space.

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.

  • Running example used throughout the paper; months cycle with period 12
  • The circular geometric structure that cyclically ordered concepts (days, months) exhibit in both representation and behavior space.
  • Key empirical result: days-of-week appear as identical circular manifold in both Llama-3.1-8B internal activations and output token probability distributions.
  • Schedule Conceptconcept0.800
    Mechanical timer concept used throughout paper to illustrate operational principle and formal modeling of concepts
  • Frequent Conceptconcept0.793
  • Cyclic Geometryconcept0.782
    One of the geometric structures used to characterize reasoning task representations in language models, used as a test case for manifold steering
  • The natural cycle length of a cyclic concept (e.g., 12 for months, 7 for days of the week)
  • Experimental paradigm using prompts like 'what month is six months after August?' to study model arithmetic