Base-9 arithmetic

Low pretraining exposure numeral system used in E2.

Neighborhood — ranked by edge-count

concept

Base-10 arithmetic
related_to
High pretraining exposure numeral system used in E2.
Base-8 arithmetic
related_to
Moderate pretraining exposure numeral system used in E2.
Representational familiarity
associated_with
How familiar a model is with a numeral system, manipulated via bases in Experiment 2.

dataset

Numeral-base arithmetic datasets (B10, B8, B9)
associated_with
Synthetic arithmetic datasets for base-10, base-8, base-9 two-digit addition with train and test splits.

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.

Base-10 additionconcept0.833
The generic addition mechanism that Llama-3.1-8B actually uses to compute sums before mapping back to cyclic concept space
Base Capabilityconcept0.740
A model's task-solving capability without harness evolution, used as baseline for comparing evolution gains
Stem Baseconcept0.737
Canonical minimal generating set for the implicational theory of a formal context; sound, complete, and of minimal cardinality.
E2: Numeral-Base Arithmetic Controlled Studymethod0.719
Quantitative study varying representational familiarity via numeral bases B10/B8/B9 at fixed computational complexity
Base (Palumbo)concept0.717
The base of the column, a center at the bottom.
There is Strength in Numbersclaim0.714
base model probingmethod0.709
Method of using base models (no post-training) to observe spontaneous self-referential behaviors without confound of memorized introspection language.
The stem base is sound, complete, and of minimal cardinality.claim0.706
Claim about the properties of the stem base.