Datasets:
DOI:
License:
| { | |
| "what": "re-weighting B to A's companion shares, and the profile's shift in twin units, for the eight constructs Table B.3 reports", | |
| "definition": { | |
| "targets": "the non-exempt companions whose |share(A) - share(B)| exceeds 0.15; exemptions are the UNION of audit.COMPONENTS and the inventory's `components`, the more generous of the two lists", | |
| "weights": "maximum-entropy weights on B's prompts hitting A's shares exactly; the largest-ESS weighting that satisfies the moments, so the shift is a best case", | |
| "feasibility": "settled by a phase-1 LP over the whole simplex, not by an optimiser's residual", | |
| "shift": "relative_distance between the base concept profile (A - B) and the re-weighted one (A - B_rw) at the middle layer, divided by the construct's own twin distance -- check 4's path", | |
| "reference": "pretrain_iter_0484865", | |
| "counts": "both twins pooled, as the battery files are read" | |
| }, | |
| "fixed_before_computing": true, | |
| "per_construct": { | |
| "ClassDef": { | |
| "outcome": "NOT COMPUTABLE", | |
| "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis" | |
| }, | |
| "For": { | |
| "n_a_usable": 1440, | |
| "n_b_usable": 1440, | |
| "n_targets": 8, | |
| "targets": [ | |
| { | |
| "companion": "Attribute", | |
| "a": 0.9555555555555556, | |
| "b": 0.7368055555555556, | |
| "diff": 0.21875 | |
| }, | |
| { | |
| "companion": "Call", | |
| "a": 0.8069444444444445, | |
| "b": 0.6409722222222223, | |
| "diff": 0.1659722222222222 | |
| }, | |
| { | |
| "companion": "Dict", | |
| "a": 0.14930555555555555, | |
| "b": 0.32013888888888886, | |
| "diff": -0.1708333333333333 | |
| }, | |
| { | |
| "companion": "FormattedValue", | |
| "a": 0.0, | |
| "b": 0.17430555555555555, | |
| "diff": -0.17430555555555555 | |
| }, | |
| { | |
| "companion": "If", | |
| "a": 0.5090277777777777, | |
| "b": 0.35, | |
| "diff": 0.15902777777777777 | |
| }, | |
| { | |
| "companion": "JoinedStr", | |
| "a": 0.0, | |
| "b": 0.17430555555555555, | |
| "diff": -0.17430555555555555 | |
| }, | |
| { | |
| "companion": "List", | |
| "a": 0.19236111111111112, | |
| "b": 0.3701388888888889, | |
| "diff": -0.17777777777777778 | |
| }, | |
| { | |
| "companion": "Tuple", | |
| "a": 0.3402777777777778, | |
| "b": 0.5680555555555555, | |
| "diff": -0.22777777777777775 | |
| } | |
| ], | |
| "infeasible": false, | |
| "max_moment_error": 6.036316169133471e-10, | |
| "ess": 455.2185300830554, | |
| "n": 1440, | |
| "ess_fraction": 0.31612397922434404, | |
| "heaviest_prompt_weight": 0.005508483725049634, | |
| "heaviest_10_together": 0.05508483725049634, | |
| "outcome": "run", | |
| "layer": 12, | |
| "layers": 24, | |
| "relative_distance": 0.2999265266693839, | |
| "twin_distance": 0.1015550953309882, | |
| "shift_in_twin_units": 2.9533380446531403, | |
| "cosine_base_vs_reweighted": 0.9553385337595073, | |
| "norm_base": 51.284900621502125, | |
| "norm_reweighted": 52.60665983320272, | |
| "b_share_shift_max": 0.22777777737172755 | |
| }, | |
| "FunctionDef": { | |
| "outcome": "NOT COMPUTABLE", | |
| "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis" | |
| }, | |
| "If": { | |
| "n_a_usable": 1440, | |
| "n_b_usable": 1440, | |
| "n_targets": 7, | |
| "targets": [ | |
| { | |
| "companion": "BoolOp", | |
| "a": 0.16597222222222222, | |
| "b": 0.0006944444444444445, | |
| "diff": 0.16527777777777777 | |
| }, | |
| { | |
| "companion": "Compare", | |
| "a": 0.69375, | |
| "b": 0.01597222222222222, | |
| "diff": 0.6777777777777778 | |
| }, | |
| { | |
| "companion": "For", | |
| "a": 0.125, | |
| "b": 0.4888888888888889, | |
| "diff": -0.3638888888888889 | |
| }, | |
| { | |
| "companion": "FormattedValue", | |
| "a": 0.0, | |
| "b": 0.17708333333333334, | |
| "diff": -0.17708333333333334 | |
| }, | |
| { | |
| "companion": "IfExp", | |
| "a": 0.015277777777777777, | |
| "b": 0.18611111111111112, | |
| "diff": -0.17083333333333334 | |
| }, | |
| { | |
| "companion": "JoinedStr", | |
| "a": 0.0, | |
| "b": 0.17708333333333334, | |
| "diff": -0.17708333333333334 | |
| }, | |
| { | |
| "companion": "UnaryOp", | |
| "a": 0.23125, | |
| "b": 0.010416666666666666, | |
| "diff": 0.22083333333333335 | |
| } | |
| ], | |
| "infeasible": true, | |
| "total_moment_violation": 0.0909722222222222, | |
| "unreachable": [ | |
| { | |
| "j": 0, | |
| "target": 0.16597222222222222, | |
| "b_share": 0.0006944444444444445, | |
| "best_attainable": 0.07500000000000001, | |
| "shortfall": 0.0909722222222222, | |
| "companion": "BoolOp" | |
| } | |
| ], | |
| "outcome": "IMPOSSIBLE", | |
| "why": "no weighting of B's prompts can reach A's companion shares; the LP's minimum total moment violation is 0.0910" | |
| }, | |
| "Match": { | |
| "outcome": "NOT COMPUTABLE", | |
| "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis" | |
| }, | |
| "Try": { | |
| "outcome": "NOT COMPUTABLE", | |
| "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis" | |
| }, | |
| "While": { | |
| "n_a_usable": 1440, | |
| "n_b_usable": 1440, | |
| "n_targets": 11, | |
| "targets": [ | |
| { | |
| "companion": "Attribute", | |
| "a": 0.8888888888888888, | |
| "b": 0.6333333333333333, | |
| "diff": 0.25555555555555554 | |
| }, | |
| { | |
| "companion": "AugAssign", | |
| "a": 0.6506944444444445, | |
| "b": 0.3055555555555556, | |
| "diff": 0.3451388888888889 | |
| }, | |
| { | |
| "companion": "BoolOp", | |
| "a": 0.2652777777777778, | |
| "b": 0.0020833333333333333, | |
| "diff": 0.26319444444444445 | |
| }, | |
| { | |
| "companion": "Call", | |
| "a": 0.9659722222222222, | |
| "b": 0.76875, | |
| "diff": 0.1972222222222222 | |
| }, | |
| { | |
| "companion": "Compare", | |
| "a": 0.6916666666666667, | |
| "b": 1.0, | |
| "diff": -0.30833333333333335 | |
| }, | |
| { | |
| "companion": "FormattedValue", | |
| "a": 0.0, | |
| "b": 0.20694444444444443, | |
| "diff": -0.20694444444444443 | |
| }, | |
| { | |
| "companion": "If", | |
| "a": 0.7465277777777778, | |
| "b": 0.3055555555555556, | |
| "diff": 0.4409722222222222 | |
| }, | |
| { | |
| "companion": "JoinedStr", | |
| "a": 0.0, | |
| "b": 0.20694444444444443, | |
| "diff": -0.20694444444444443 | |
| }, | |
| { | |
| "companion": "Subscript", | |
| "a": 0.6625, | |
| "b": 0.4847222222222222, | |
| "diff": 0.17777777777777776 | |
| }, | |
| { | |
| "companion": "Tuple", | |
| "a": 0.3625, | |
| "b": 0.15347222222222223, | |
| "diff": 0.20902777777777776 | |
| }, | |
| { | |
| "companion": "UnaryOp", | |
| "a": 0.5527777777777778, | |
| "b": 0.05486111111111111, | |
| "diff": 0.4979166666666667 | |
| } | |
| ], | |
| "infeasible": true, | |
| "total_moment_violation": 0.40416666666666673, | |
| "unreachable": [ | |
| { | |
| "j": 4, | |
| "target": 0.6916666666666667, | |
| "b_share": 1.0, | |
| "best_attainable": 1.0, | |
| "shortfall": 0.3083333333333334, | |
| "companion": "Compare" | |
| }, | |
| { | |
| "j": 6, | |
| "target": 0.7465277777777778, | |
| "b_share": 0.3055555555555556, | |
| "best_attainable": 0.6506944444444445, | |
| "shortfall": 0.09583333333333333, | |
| "companion": "If" | |
| } | |
| ], | |
| "outcome": "IMPOSSIBLE", | |
| "why": "no weighting of B's prompts can reach A's companion shares; the LP's minimum total moment violation is 0.4042" | |
| }, | |
| "With": { | |
| "n_a_usable": 1440, | |
| "n_b_usable": 1440, | |
| "n_targets": 7, | |
| "targets": [ | |
| { | |
| "companion": "AsyncFunctionDef", | |
| "a": 0.0, | |
| "b": 0.20347222222222222, | |
| "diff": -0.20347222222222222 | |
| }, | |
| { | |
| "companion": "AsyncWith", | |
| "a": 0.0, | |
| "b": 0.20347222222222222, | |
| "diff": -0.20347222222222222 | |
| }, | |
| { | |
| "companion": "Attribute", | |
| "a": 0.9847222222222223, | |
| "b": 0.6791666666666667, | |
| "diff": 0.3055555555555556 | |
| }, | |
| { | |
| "companion": "Call", | |
| "a": 1.0, | |
| "b": 0.6472222222222223, | |
| "diff": 0.35277777777777775 | |
| }, | |
| { | |
| "companion": "FormattedValue", | |
| "a": 0.0, | |
| "b": 0.16597222222222222, | |
| "diff": -0.16597222222222222 | |
| }, | |
| { | |
| "companion": "ImportFrom", | |
| "a": 0.44027777777777777, | |
| "b": 0.6041666666666666, | |
| "diff": -0.16388888888888886 | |
| }, | |
| { | |
| "companion": "JoinedStr", | |
| "a": 0.0, | |
| "b": 0.16597222222222222, | |
| "diff": -0.16597222222222222 | |
| } | |
| ], | |
| "infeasible": false, | |
| "max_moment_error": 8.703134879439745e-10, | |
| "ess": 328.8384379941171, | |
| "n": 1440, | |
| "ess_fraction": 0.22836002638480354, | |
| "heaviest_prompt_weight": 0.004262082240559387, | |
| "heaviest_10_together": 0.04262082240559387, | |
| "outcome": "run", | |
| "layer": 12, | |
| "layers": 24, | |
| "relative_distance": 0.5760889901850087, | |
| "twin_distance": 0.10473068786874007, | |
| "shift_in_twin_units": 5.500670356591435, | |
| "cosine_base_vs_reweighted": 0.8967076814715266, | |
| "norm_base": 58.07043587911861, | |
| "norm_reweighted": 83.86589900298534, | |
| "b_share_shift_max": 0.3527777777577208 | |
| } | |
| }, | |
| "summary": { | |
| "n_reported": 2, | |
| "n_impossible": 2, | |
| "n_not_computable": 4, | |
| "shift_in_twin_units": { | |
| "For": 2.9533380446531403, | |
| "With": 5.500670356591435 | |
| }, | |
| "median_shift_in_twin_units": 4.227004200622288, | |
| "reading": "the shift is what correcting the companion asymmetry would do to the concept profile, in units of what redrawing the battery does. Above 1 means the asymmetry moves the profile by more than the instrument's own noise." | |
| }, | |
| "minutes": 0.5435326019922893, | |
| "provenance": { | |
| "inputs": [ | |
| "record/pretrain_iter_0484865/twin{1,2}__{For,With,If,While}_{A,B}.npz", | |
| "record/pretrain_iter_0484865/twin1__C_cells.npz", | |
| "phase_battery/twin{1,2}/*_{A,B}.jsonl.gz", | |
| "validation/paper1/LICENCE_TABLE.json", | |
| "inventory/inventory_v2.json" | |
| ], | |
| "reference": "pretrain_iter_0484865", | |
| "battery_prompt_hash": "570b42db13f8fe5772b8d1a9ad7d55d6fa1279dae5948ad94e8363789bcbc1ad", | |
| "code_commit": "77765e1", | |
| "design": "9-Paper-1/2610-18Oct_PAPER-1-Design.md sha256 47f6a664\u2026" | |
| } | |
| } |