Entity grid is a two-dimensional array that represents the distribution of entity mentions across sentences. The rows represent sentences, and the columns represent discourse entities. Each cell represents the possible appearance
of an entity in a sentence, and the values represent whether the entity appears and its grammatical role. 

Hamilton College

Entity grid model is an alternative way to capture entity-based coherence: instead of having a top-down theory, the entity-grid model using machine learning to induce the patterns of entity mentioning that make a discourse more coherent.

Entity Grid Model

An on-going but a helpful book resource about NLP
https://web.stanford.edu/~jurafsky/slp3/

Speech and Language Processing (3rd ed. draft) 

Patterns of local entity transition is the measurement of coherence in the entity grid model.

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