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concept:causal-equivalence-principleCausal Equivalence Principle
Yurchenko's principle that all intra-level causations are equivalent and cross-level ones are reasons.
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- Wolfram's principle that systems above a low threshold of complexity are computationally equivalent, supporting substrate independence of consciousness
- The ability of an agent to be a driver of subsequent events; a hallmark of cognition that causal emergence quantifies.
- Property that causal mechanisms remain stable across environments; desirable for OOD.
- A framework the paper uses alongside feature geometry to deepen mechanistic understanding of LMs
- Function determining the value of a variable based on its causal parents in an acyclic causal model.
- Cao & Yamins principle: solution set for an easy goal is large, for a challenging goal comparatively smaller; cited as theoretical basis for multitask scaling hypothesis
- Formal definition: H is a constructive abstraction of L under alignment Π when interchange interventions have equivalent effects at both levels.
- A measure of whether a subcomponent is necessary to reproduce model behavior on a specific prompt, predicted by the causal importance network.