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A Unifying Framework to the Analysis of Interaction Methods using Synergy Functions

ICML 2023 · Learning theory and algorithms › Prediction and decision losses · approach: Provable post-hoc explanations

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace Shapley-Taylor-style distribution with Integrated Hessian (augmented) distribution of monomial synergiesgradient-based interaction methods on analytic functions · theoretical analysis (no experiments)axiom satisfaction (baseline test for interactions)Mixed
Use the augmented Integrated Hessian (pre-distributing single and pairwise synergies) instead of plain Integrated HessianIntegrated Hessian · theoretical analysis (no experiments)baseline test for interactions (k ≤ n) satisfiedHelped
Use the Sum of Powers top-distributing gradient-based scheme instead of recursive Integrated Hessian distributiongradient-based kth-order interaction methods · theoretical analysis (no experiments)satisfies baseline test for interactions and top-distributing propertyHelped
Use Recursive Shapley (not top-distributing) instead of Shapley-Taylor for kth-order interactionsbinary feature kth-order interactions · theoretical analysis (no experiments)baseline test for interactions (k ≤ n)Hurt
Use Integrated Gradients (gradient-based) instead of Shapley value to distribute synergies of monomialsfeature attribution for monomial synergies · worked example x1^100 x2 synergyattribution fairness by monomial formHelped

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