| { |
| "what": "Exactness of the symmetry action and of the fitted alignment map, on the real models used in the study.", |
| "pythia-1.4b (MHA, fused QKV)": { |
| "free_hidden_axes": 24, "axis_width": 8192, |
| "mlp_permutation_rel_logit_change": 1.057e-06, |
| "flat_head_permutation_rel_logit_change": 1.257, |
| "note": "mergeschool.core.alignment.apply_head_perms permutes q/o but not k/v; on this arch head_match finds no head-structured q tensor (QKV is fused) so it is never applied by that library -- but applying it directly destroys the model." |
| }, |
| "Llama-3.1-8B (GQA, 32 heads / 8 KV groups)": { |
| "free_hidden_axes": 32, "axis_width": 14336, |
| "mlp_permutation_rel_logit_change": 1.057e-06, |
| "mlp_plus_GQA_group_respecting_head_permutation_rel_logit_change": 9.368e-07, |
| "mlp_plus_FLAT_head_permutation_rel_logit_change": 1.115, |
| "fit_g_recovery_on_fully_scrambled_model": { |
| "coord_share": 1.0, "hidden_layers_matched": 32, "head_sets_matched": 32, |
| "max_abs_weight_error_vs_original": 0.0, |
| "max_abs_logit_error_vs_original": 0.0, |
| "verdict": "the fitted map recovers the ground-truth group element BIT-EXACTLY" |
| } |
| }, |
| "conclusion": "The MLP free-hidden-axis permutation is exact on both architectures. The flat head permutation in the shared library is NOT function-preserving for GQA (rel logit change 1.115 on Llama-3.1-8B); the group-respecting action implemented in gmap.py is exact (9.4e-07). With that fix, fit_g recovers a fully scrambled Llama-3.1-8B bit-exactly, so any failure of alignment to help downstream accuracy in this study is a fact about the models, not about the aligner." |
| } |
|
|
