To answer a question, language models often need to integrate prior knowledge learned during pretraining and new information presented in context.
We hypothesize that models perform this integration in a predictable way across different questions and contexts: models will rely more on prior knowledge for questions about entities (e.g., persons, places, etc.)  that they are more familiar with due to higher exposure in the training corpus, and be more easily persuaded by some contexts than others.
To formalize this problem, we propose two mutual information-based metrics to measure a model's dependency on a context and on its prior about an entity: first, thepersuasion scoreof a given context represents how much a model depends on the context in its decision, and second, thesusceptibility scoreof a given entity represents how much the model can be swayed away from its original answer distribution about an entity.
Following well-established measurement modeling methods, we empirically test for the validity and reliability of these metrics.
Finally, we explore and find a relationship between the scores and the model's expected familiarity with an entity, and provide two use cases to illustrate their benefits. https://github.com/kdu4108/measureLM