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Paper · arXiv

Path-Sampled Integrated Gradients

We introduce path-sampled integrated gradients (PS-IG), a framework that generalizes feature attribution by computing the expected value over baselines sampled along the linear interpolation path. We prove that PS-IG is mathematically equivalent to path-weighted integrated gradients, provided the weighting function matches the cumulative distribution function of the sampling density. This equivalence allows the stochastic expectation to be evaluated via a deterministic Riemann sum, improving the error convergence rate from $O(m^{-1/2})$ to $O(m^{-1})$ for smooth models. Furthermore, we demonstrate analytically that PS-IG functions as a variance-reducing filter against gradient noise - str...

AuthorsFiruz Kamalov, Fadi Thabtah, R. Sivaraj et al.
Primary categorycs.LG
Published15 April 2026
Last updated at source15 April 2026
cs.LGstat.ML
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