Internal State Geometry is Measurable in Small Open Language Models: A Cross-Family Survey
I report a survey of dense activation observation on twelve open language models spanning five architecture families (BLOOM, BLOOMZ, Phi-2, Pythia, Qwen2.5, InternLM-2) and parameter counts from 124M to 7.6B. Every model in the qualified set produces an observable internal state structure under a fixed-budget probing protocol: coverage in the band 90.6% to 97.05%, total channel count from 523k to 1.54M, hooked-module count from 147 to 253. Three cross-family patterns are reported: module-count-to-parameter ratio varies by an order of magnitude between architectures (23 to 84 modules per billion parameters); channel count scales sub-linearly with parameter count C ~ N_p^0.63 on this sample; the linear-to-norm module ratio is roughly 5:1 across families. Small open LMs are not opaque substrates; they are dense, observable, and comparable.
Authors
- Ho Yiing Chen (ORCID: https://orcid.org/0009-0006-6816-9891)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-29
- DOI
- https://doi.org/10.5281/zenodo.20450001
- Primary Topic
- Machine Learning in Materials Science
- Type
- preprint