| # 128-trial task-correlation analysis |
|
|
| - Data root: `results_128` |
| - Posterior draws: 10,000 |
| - Paired task-bootstrap draws: 10,000 |
| - Posterior-propagation intervals: Jeffreys uncertainty for each task's Bernoulli success probability; the 100-task suite is held fixed. |
| - Task-bootstrap intervals: uncertainty from resampling the aligned 100 tasks; every modality and condition uses the same sampled indices. |
|
|
| ## Overall exact-match accuracy |
|
|
| | Modality | Clean | Deranged | Gap | Trials/task/condition | |
| |---|---:|---:|---:|---:| |
| | Language | 0.2996 | 0.1608 | 0.1388 | 128 | |
| | Genome | 0.3323 | 0.1523 | 0.1801 | 128 | |
| | Integer | 0.4813 | 0.1672 | 0.3141 | 128 | |
| | Image | 0.4350 | 0.1826 | 0.2524 | 128 | |
| | Time | 0.3257 | 0.1402 | 0.1855 | 128 | |
| | Protein | 0.2642 | 0.1651 | 0.0991 | 128 | |
|
|
| ## Discrete-modality observed Spearman ranges |
|
|
| - clean: 0.694 to 0.969 |
| - deranged: 0.852 to 0.898 |
| - gap: 0.431 to 0.886 |
| - residual: 0.391 to 0.894 |
|
|
| ## Discrete-modality clean-minus-deranged pairs |
|
|
| | Pair | Observed rho | Posterior 95% interval | Task-bootstrap 95% interval | Reference rho | |
| |---|---:|---:|---:|---:| |
| | Language–Genome | 0.672 | [0.552, 0.696] | [0.524, 0.787] | 0.436 | |
| | Language–Integer | 0.431 | [0.352, 0.486] | [0.255, 0.579] | 0.340 | |
| | Language–Protein | 0.568 | [0.382, 0.585] | [0.406, 0.703] | 0.265 | |
| | Genome–Integer | 0.679 | [0.587, 0.687] | [0.546, 0.778] | 0.459 | |
| | Genome–Protein | 0.886 | [0.697, 0.843] | [0.823, 0.925] | 0.317 | |
| | Integer–Protein | 0.630 | [0.466, 0.624] | [0.481, 0.743] | 0.321 | |
|
|
| ## Discrete-modality residualized-clean pairs |
|
|
| | Pair | Observed rho | Posterior 95% interval | Task-bootstrap 95% interval | Reference rho | |
| |---|---:|---:|---:|---:| |
| | Language–Genome | 0.675 | [0.559, 0.698] | [0.523, 0.784] | 0.457 | |
| | Language–Integer | 0.391 | [0.332, 0.450] | [0.216, 0.556] | 0.352 | |
| | Language–Protein | 0.562 | [0.391, 0.591] | [0.405, 0.700] | 0.302 | |
| | Genome–Integer | 0.634 | [0.568, 0.658] | [0.498, 0.753] | 0.496 | |
| | Genome–Protein | 0.894 | [0.715, 0.850] | [0.826, 0.930] | 0.394 | |
| | Integer–Protein | 0.589 | [0.457, 0.601] | [0.436, 0.715] | 0.383 | |
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