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Paper · arXiv

A Dual Representation of Influence Functions for Linearizable Models

In this paper, we present a dual representation of influence functions, whose computational complexity scales with dataset size rather than model size. Both analytically and experimentally, we show that this representation can be an efficient alternative to the original influence functions for estimating changes in parameters, model outputs and loss due to data point removal, when model size is large relative to dataset size, or when evaluating the original influence functions in parameter space is infeasible. The dual representation, however, is limited to linearizable models, which are models whose behavior can be approximated by their linearizations throughout training, and requires ma...

AuthorsZhenhuan Sun, Shahrokh Valaee
Primary categorycs.LG
Published11 May 2026
Last updated at source25 September 2026
cs.LGstat.ML
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