Graph Surgery and the Do-Operator: A Precise Correspondence for Acyclic Structural Causal Models
Researchers have developed a precise correspondence between two ways of describing the do-operator in acyclic structural causal models. The do-operator is used to represent interventions in these models, and it can be described graphically or functionally. A new theorem makes this relationship precise, showing that replacing target mechanisms with constants is equivalent to deleting arrows into their targets. This work has implications for understanding how interventions affe
Researchers have developed a precise correspondence between two ways of describing the do-operator in acyclic structural causal models. The do-operator is used to represent interventions in these models, and it can be described graphically or functionally. A new theorem makes this relationship precise, showing that replacing target mechanisms with constants is equivalent to deleting arrows into their targets. This work has implications for understanding how interventions affect the behavior of complex systems.
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Why it matters: This matters because it provides a deeper understanding of how interventions in acyclic structural causal models can be represented and analyzed. This knowledge can help researchers design more effective interventions and better understand the consequences of their actions.
Source: https://arxiv.org/abs/2608.17634
This article was originally published at: https://arxiv.org/abs/2608.17634