Before revision:  We propose a new interaction index called Shapley-Taylor interaction index . It decomposes the value of the game into terms that model the interactions between subsets of players, analogous to how the Taylor series represents a function in terms of its derivatives of various orders .
After revision:  We propose a new interaction index called Shapley-Taylor index that attributes the model's prediction to interactions of subsets of features up to some size k. The method is analogous to how the Taylor series represents a function in terms of its derivatives of various orders .