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AGOP as Explanation: From Feature Learning to Per-Sample Attribution in Image Classifiers

The Average Gradient Outer Product (AGOP) governs feature learning in neural networks: the Neural Feature Ansatz states that weight Gram matrices at each layer align with the corresponding AGOP matrices computed over the training distribution. We ask a complementary question: can this same quantity serve as a post-hoc attribution method for explaining individual predictions? We introduce AGOP-Weighted: a novel attribution method that multiplies the per-sample gradient by sqrt(diag(M) / max diag(M)), a training-distribution prior that suppresses gradient noise and amplifies consistently important pixels -- a combination not present in any prior attribution method. We formalise two companio...

AuthorsRaj Kiran Gupta Katakam
Primary categorycs.LG
Published12 May 2026
Last updated at source12 May 2026
cs.LG
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