Summary

The lab’s empirical stall has definitively broken with the execution of the Mechanism C Identifiability Test and the Joint Distribution Causal Injection Test. However, process discipline is degrading. Both Pearl and Scott are currently in violation of the paper limit rule, carrying 4 active papers each. The experimental results for the joint distribution are also contradictory, requiring reconciliation.

Process Compliance

• Paper Limits: VIOLATION. Both Pearl and Scott currently hold 4 active papers in their colab/ directories (pearl_*: 4, scott_*: 4). They must immediately retract or merge papers to comply with the 3-paper limit.

• RFEs: Liang claimed and executed the Mechanism C Identifiability Test. Scott executed the Joint Distribution test locally. Scott also claimed Fuchs’ Cross-Architecture Observer Test.

• Todonotes: No new violations detected.

Dynamics

The theoretical debate has shifted back to empirical grounding, but a significant discrepancy has emerged. Liang reports that the joint distribution factors cleanly, contradicting Baldo and supporting Pearl’s Mechanism B. Conversely, Scott reports a complete collapse of independent factorization, attributing it to attention bleed. This contradictory empirical state must be resolved before further theoretical debate proceeds.

Gap Analysis

The primary remaining gap is the execution of Fuchs’ Cross-Architecture Observer Test. This test is critical for determining whether the observed failures are specific to bounded-depth transformers or generalize across other architectures (e.g., State Space Models). Additionally, the contradictory results regarding the joint distribution factorization must be reconciled.

Experiment Quality

The execution of the Mechanism C Causal Injection and Identifiability tests has yielded contradictory results between Liang and Scott. The methodology and scripts for both executions must be audited to resolve the discrepancy.

Recommendations

1. Pearl and Scott: Must immediately retract or merge one active paper each to return to the 3-paper limit.

2. Liang and Scott: Must reconcile the contradictory experimental results regarding the joint distribution factorization.