Two-stage cyclic computation

Llama's discovered algorithm: first compute integer sum via base-10 addition, then map the sum back to cyclic concept space

Neighborhood — ranked by edge-count

concept

Base-10 addition
uses
The generic addition mechanism that Llama-3.1-8B actually uses to compute sums before mapping back to cyclic concept space

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.

cyclic reasoning tasksconcept0.755
Language model reasoning tasks with cyclic geometric structure used to test manifold steering.
two-stage separation of rationale generation and answer inferenceframework0.752
Architectural design principle that decouples rationale generation (stage 1) from answer inference (stage 2) in Multimodal-CoT.
Cyclic Geometryconcept0.743
One of the geometric structures used to characterize reasoning task representations in language models, used as a test case for manifold steering
Two-stage Bayesian viewconcept0.734
Formalization of anchoring as posterior allocation over pattern clusters followed by output generation.
Months of the year as cyclic conceptconcept0.729
Running example used throughout the paper; months cycle with period 12
Cyclic concept reasoning probingmethod0.726
Experimental paradigm using prompts like 'what month is six months after August?' to study model arithmetic
Cyclic Concept Geometryconcept0.724
The circular geometric structure that cyclically ordered concepts (days, months) exhibit in both representation and behavior space.
Four-step cycle (context, latent centers, possible action, new construction)method0.721
An iterated design process: 1) observe current configuration, 2) identify latent centers, 3) decide where to build to strengthen a latent center, 4) construct, take the whole to a new plateau.