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library_name: transformers
tags: [model-merging, mergeability, training-free, quotient-merge-distance]
---
# polypythia-14m-s1s2__task_arithmetic__naive
Training-free merged checkpoint from the **Mergeability** sweep
(`benchmark/emit_lm.py --real`), produced by weight-space merging of two independently
trained parents. No gradient steps were taken.
| field | value |
|---|---|
| pair_id | `polypythia-14m-s1s2` |
| parent_a | `EleutherAI/pythia-14m-seed1` |
| parent_b | `EleutherAI/pythia-14m-seed2` |
| ceiling | `(floor-relative)` |
| operator | `task_arithmetic` |
| alignment | `naive` |
| align_method | `permutation` |
| regime | `indep_seed` |
| eval_langs | `eng` |
| nll_merge | `18.706` |
| nll_floor | `5.1597` |
| param_coverage | `1.0` |
| MS | `None` |
## How it was made
Parents were loaded, activations extracted on a shared calibration corpus, and the merge applied
either **naive** (parents combined in their own coordinates) or **aligned** (parent B carried into
parent A's residual-stream basis via `common.alignment.residual_basis_map` before merging —
permutation for same-width pairs, orthogonal/rectangular for cross-width).
`MS` is the recovery score from `common.eval.mergeability_score` (merged vs. floor vs. ceiling), the
same normalisation used by Zhou et al., so it is comparable across rows of the sweep.
## Caveats
Sub-1B merges are noisy; an aligned signal where the naive one is noise is the finding, not a bug.
Rows without a joint ceiling are floor-relative and must not be read as absolute recovery.
Generated automatically — see the [mergeability repo](https://github.com/suchirsalhan/mergeability).
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