Download results/modules/random_gpt2/reparameterization/reparameterization.json from anhth/fcm: direct link, hf CLI and curl.
- Browser
- Download file 12.6 kB
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https://huggingface.co/datasets/anhth/fcm/resolve/main/results/modules/random_gpt2/reparameterization/reparameterization.json
- Command line
-
hf download hf://datasets/anhth/fcm/results/modules/random_gpt2/reparameterization/reparameterization.json
-
curl -L -o reparameterization.json https://huggingface.co/datasets/anhth/fcm/resolve/main/results/modules/random_gpt2/reparameterization/reparameterization.json
12.6 kB
| { | |
| "rows": [ | |
| { | |
| "metric": "l2", | |
| "transformation": "identity_replay", | |
| "adjusted_rand": 1.0, | |
| "adjusted_rand_core_atoms_only": 1.0, | |
| "n_modules_original": 3, | |
| "n_modules_transformed": 3, | |
| "exact_set_recovery": 1.0, | |
| "mean_best_jaccard": 1.0, | |
| "median_best_jaccard": 1.0, | |
| "mean_best_jaccard_modules_le8": 1.0, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [ | |
| 2, | |
| 2, | |
| 2 | |
| ], | |
| "per_module_best_jaccard": [ | |
| 1.0, | |
| 1.0, | |
| 1.0 | |
| ], | |
| "note": "same data and rule, fresh run; upper bound on agreement achievable under any transformation" | |
| }, | |
| { | |
| "metric": "l2", | |
| "transformation": "positive_powers_of_two_scaling", | |
| "gram_max_relative_change": 0.0, | |
| "adjusted_rand": 1.0, | |
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| "n_modules_original": 3, | |
| "n_modules_transformed": 3, | |
| "exact_set_recovery": 1.0, | |
| "mean_best_jaccard": 1.0, | |
| "median_best_jaccard": 1.0, | |
| "mean_best_jaccard_modules_le8": 1.0, | |
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| 2, | |
| 2, | |
| 2 | |
| ], | |
| "per_module_best_jaccard": [ | |
| 1.0, | |
| 1.0, | |
| 1.0 | |
| ], | |
| "note": "c_j -> a_j c_j, v_j -> v_j/a_j applied to the cached coefficients, output weights and (Fisher) score projections; z_j preserved" | |
| }, | |
| { | |
| "metric": "l2", | |
| "transformation": "positive_half_split_32_atoms", | |
| "cluster_count_mode": "free_C", | |
| "adjusted_rand": -0.0036128001617856094, | |
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| "fcm": 0.0, | |
| "cosine": 0.0 | |
| }, | |
| "collinear_collapse": null, | |
| "note": "duplicate atoms with halved output weights; ARI lifts the original labels through the duplication index. Each split pair is a perfectly coupled 2-clique that adds a near-zero normalized-Laplacian eigenvalue, so the eigengap rule reacts to the duplicates; matched_C removes that reaction." | |
| }, | |
| { | |
| "metric": "l2", | |
| "transformation": "positive_half_split_32_atoms", | |
| "cluster_count_mode": "matched_C", | |
| "adjusted_rand": -0.001934228314481383, | |
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| "exact_set_recovery": 0.0, | |
| "mean_best_jaccard": 0.0, | |
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| "n_split_atoms_in_a_core_module": 0, | |
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| "affinity_max_relative_change_on_unsplit_atoms": { | |
| "fcm": 0.0, | |
| "cosine": 0.0 | |
| }, | |
| "collinear_collapse": null, | |
| "note": "duplicate atoms with halved output weights; ARI lifts the original labels through the duplication index. Each split pair is a perfectly coupled 2-clique that adds a near-zero normalized-Laplacian eigenvalue, so the eigengap rule reacts to the duplicates; matched_C removes that reaction." | |
| }, | |
| { | |
| "metric": "l2", | |
| "transformation": "positive_half_split_32_atoms", | |
| "cluster_count_mode": "matched_C_collinear_collapsed", | |
| "adjusted_rand": 1.0, | |
| "adjusted_rand_unsplit_atoms_only": 1.0, | |
| "adjusted_rand_core_atoms_only": 1.0, | |
| "n_modules_original": 3, | |
| "n_modules_transformed": 3, | |
| "exact_set_recovery": 1.0, | |
| "mean_best_jaccard": 1.0, | |
| "median_best_jaccard": 1.0, | |
| "mean_best_jaccard_modules_le8": 1.0, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [ | |
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| 2 | |
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| "per_module_best_jaccard": [ | |
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| 1.0, | |
| 1.0 | |
| ], | |
| "reference_C_original": 3, | |
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| "n_split_atoms_in_a_core_module": 0, | |
| "split_atoms_in_a_core_module_originally": 0.0, | |
| "affinity_max_relative_change_on_unsplit_atoms": { | |
| "fcm": 0.0, | |
| "cosine": 0.0 | |
| }, | |
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| "merged_gram_max_relative_difference_from_original": 0.0, | |
| "collinear_groups_in_original_layer": 3072, | |
| "original_width": 3072 | |
| }, | |
| "note": "duplicate atoms with halved output weights; ARI lifts the original labels through the duplication index. Each split pair is a perfectly coupled 2-clique that adds a near-zero normalized-Laplacian eigenvalue, so the eigengap rule reacts to the duplicates; matched_C removes that reaction." | |
| }, | |
| { | |
| "metric": "l2", | |
| "transformation": "baseline_raw_covariance_affinity_under_scaling", | |
| "adjusted_rand": 0.8118744351996922, | |
| "n_modules_original": 3, | |
| "n_modules_transformed": 3, | |
| "note": "naive co-activation clustering on W=|E[c_i c_j]| (no mass normalization); the same function-preserving scaling changes this affinity" | |
| }, | |
| { | |
| "metric": "fisher", | |
| "transformation": "identity_replay", | |
| "adjusted_rand": 1.0, | |
| "adjusted_rand_core_atoms_only": null, | |
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| "n_modules_transformed": 0, | |
| "exact_set_recovery": 0.0, | |
| "mean_best_jaccard": null, | |
| "median_best_jaccard": null, | |
| "mean_best_jaccard_modules_le8": null, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [], | |
| "per_module_best_jaccard": [], | |
| "note": "same data and rule, fresh run; upper bound on agreement achievable under any transformation" | |
| }, | |
| { | |
| "metric": "fisher", | |
| "transformation": "positive_powers_of_two_scaling", | |
| "gram_max_relative_change": 0.0, | |
| "adjusted_rand": 1.0, | |
| "adjusted_rand_core_atoms_only": null, | |
| "n_modules_original": 0, | |
| "n_modules_transformed": 0, | |
| "exact_set_recovery": 0.0, | |
| "mean_best_jaccard": null, | |
| "median_best_jaccard": null, | |
| "mean_best_jaccard_modules_le8": null, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [], | |
| "per_module_best_jaccard": [], | |
| "note": "c_j -> a_j c_j, v_j -> v_j/a_j applied to the cached coefficients, output weights and (Fisher) score projections; z_j preserved" | |
| }, | |
| { | |
| "metric": "fisher", | |
| "transformation": "positive_half_split_32_atoms", | |
| "cluster_count_mode": "free_C", | |
| "adjusted_rand": 0.0, | |
| "adjusted_rand_unsplit_atoms_only": 0.0, | |
| "adjusted_rand_core_atoms_only": null, | |
| "n_modules_original": 0, | |
| "n_modules_transformed": 63, | |
| "exact_set_recovery": 0.0, | |
| "mean_best_jaccard": null, | |
| "median_best_jaccard": null, | |
| "mean_best_jaccard_modules_le8": null, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [], | |
| "per_module_best_jaccard": [], | |
| "reference_C_original": 2, | |
| "reference_C_transformed": 30, | |
| "split_copies_co_assigned": 0.96875, | |
| "split_copies_co_assigned_core_only": null, | |
| "n_split_atoms_in_a_core_module": 0, | |
| "split_atoms_in_a_core_module_originally": 0.0, | |
| "affinity_max_relative_change_on_unsplit_atoms": { | |
| "fcm": 0.0, | |
| "cosine": 0.0 | |
| }, | |
| "collinear_collapse": null, | |
| "note": "duplicate atoms with halved output weights; ARI lifts the original labels through the duplication index. Each split pair is a perfectly coupled 2-clique that adds a near-zero normalized-Laplacian eigenvalue, so the eigengap rule reacts to the duplicates; matched_C removes that reaction." | |
| }, | |
| { | |
| "metric": "fisher", | |
| "transformation": "positive_half_split_32_atoms", | |
| "cluster_count_mode": "matched_C", | |
| "adjusted_rand": 0.0, | |
| "adjusted_rand_unsplit_atoms_only": 1.0, | |
| "adjusted_rand_core_atoms_only": null, | |
| "n_modules_original": 0, | |
| "n_modules_transformed": 1, | |
| "exact_set_recovery": 0.0, | |
| "mean_best_jaccard": null, | |
| "median_best_jaccard": null, | |
| "mean_best_jaccard_modules_le8": null, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [], | |
| "per_module_best_jaccard": [], | |
| "reference_C_original": 2, | |
| "reference_C_transformed": 2, | |
| "split_copies_co_assigned": 0.03125, | |
| "split_copies_co_assigned_core_only": null, | |
| "n_split_atoms_in_a_core_module": 0, | |
| "split_atoms_in_a_core_module_originally": 0.0, | |
| "affinity_max_relative_change_on_unsplit_atoms": { | |
| "fcm": 0.0, | |
| "cosine": 0.0 | |
| }, | |
| "collinear_collapse": null, | |
| "note": "duplicate atoms with halved output weights; ARI lifts the original labels through the duplication index. Each split pair is a perfectly coupled 2-clique that adds a near-zero normalized-Laplacian eigenvalue, so the eigengap rule reacts to the duplicates; matched_C removes that reaction." | |
| }, | |
| { | |
| "metric": "fisher", | |
| "transformation": "positive_half_split_32_atoms", | |
| "cluster_count_mode": "matched_C_collinear_collapsed", | |
| "adjusted_rand": 1.0, | |
| "adjusted_rand_unsplit_atoms_only": 1.0, | |
| "adjusted_rand_core_atoms_only": null, | |
| "n_modules_original": 0, | |
| "n_modules_transformed": 0, | |
| "exact_set_recovery": 0.0, | |
| "mean_best_jaccard": null, | |
| "median_best_jaccard": null, | |
| "mean_best_jaccard_modules_le8": null, | |
| "mean_best_jaccard_modules_gt8": null, | |
| "module_sizes": [], | |
| "per_module_best_jaccard": [], | |
| "reference_C_original": 2, | |
| "reference_C_transformed": 2, | |
| "split_copies_co_assigned": 0.0, | |
| "split_copies_co_assigned_core_only": null, | |
| "n_split_atoms_in_a_core_module": 0, | |
| "split_atoms_in_a_core_module_originally": 0.0, | |
| "affinity_max_relative_change_on_unsplit_atoms": { | |
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| "cosine": 0.0 | |
| }, | |
| "collinear_collapse": { | |
| "atoms": 3104, | |
| "merged_groups": 3072, | |
| "merged_gram_max_relative_difference_from_original": 0.0, | |
| "collinear_groups_in_original_layer": 3072, | |
| "original_width": 3072 | |
| }, | |
| "note": "duplicate atoms with halved output weights; ARI lifts the original labels through the duplication index. Each split pair is a perfectly coupled 2-clique that adds a near-zero normalized-Laplacian eigenvalue, so the eigengap rule reacts to the duplicates; matched_C removes that reaction." | |
| }, | |
| { | |
| "metric": "fisher", | |
| "transformation": "baseline_raw_covariance_affinity_under_scaling", | |
| "adjusted_rand": 0.8118744351996922, | |
| "n_modules_original": 3, | |
| "n_modules_transformed": 3, | |
| "note": "naive co-activation clustering on W=|E[c_i c_j]| (no mass normalization); the same function-preserving scaling changes this affinity" | |
| } | |
| ], | |
| "settings": { | |
| "root": "results/comparison/random_gpt2", | |
| "out": "results/modules/random_gpt2", | |
| "metrics": [ | |
| "l2", | |
| "fisher" | |
| ], | |
| "bootstraps": 12, | |
| "split_atoms": 32, | |
| "seed": 17, | |
| "affinity": "square", | |
| "knn": 0, | |
| "normalization": "fcm", | |
| "cluster_rule": "reference", | |
| "clusters": null, | |
| "min_clusters": 2, | |
| "max_clusters": 32, | |
| "threshold": 0.8, | |
| "min_size": 2, | |
| "max_module_fraction": 0.5, | |
| "restarts": 5 | |
| }, | |
| "seconds": 29.21317982673645, | |
| "scope": "partition identity only; semantic and causal changes under reparameterization are not remeasured here", | |
| "ari_convention": "the rest module is treated as one additional label, so ARI scores the whole assignment including which neurons are declared unstructured" | |
| } |