Z0-Inf: Zeroth Order Approximation for Data Influence

Fuente: arXiv
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Autori principali: Kokhlikyan, Narine, Chaudhuri, Kamalika, Mahloujifar, Saeed
Natura: Preprint
Pubblicazione: 2025
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author Kokhlikyan, Narine
Chaudhuri, Kamalika
Mahloujifar, Saeed
author_facet Kokhlikyan, Narine
Chaudhuri, Kamalika
Mahloujifar, Saeed
contents A critical aspect of analyzing and improving modern machine learning systems lies in understanding how individual training examples influence a model's predictive behavior. Estimating this influence enables critical applications, including data selection and model debugging; in particular, self-influence, which quantifies the influence of a training point on itself, has found many uses in data quality assessment and outlier detection. Existing methods for measuring data influence, however, are often impractical for large models due to low accuracy or prohibitive computational costs: most approaches either provide poor approximations or rely on gradients and inverse-Hessian computations that remain challenging to scale. In this work, we introduce a highly efficient zeroth-order approximation for estimating the influence of training data that requires only a fraction of the time and memory footprint of prior methods. Notably, our method relies solely on loss values of intermediate checkpoints on the training and test data, along with the checkpoints themselves, making it broadly applicable even when the loss function of interest is non-differentiable. Beyond its computational efficiency, our approach achieves superior accuracy in estimating self-influence and comparable or improved accuracy in estimating train-test influence for fine-tuned large language models, enabling scalable and practical analysis of how training data shapes model behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11832
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Z0-Inf: Zeroth Order Approximation for Data Influence
Kokhlikyan, Narine
Chaudhuri, Kamalika
Mahloujifar, Saeed
Machine Learning
A critical aspect of analyzing and improving modern machine learning systems lies in understanding how individual training examples influence a model's predictive behavior. Estimating this influence enables critical applications, including data selection and model debugging; in particular, self-influence, which quantifies the influence of a training point on itself, has found many uses in data quality assessment and outlier detection. Existing methods for measuring data influence, however, are often impractical for large models due to low accuracy or prohibitive computational costs: most approaches either provide poor approximations or rely on gradients and inverse-Hessian computations that remain challenging to scale. In this work, we introduce a highly efficient zeroth-order approximation for estimating the influence of training data that requires only a fraction of the time and memory footprint of prior methods. Notably, our method relies solely on loss values of intermediate checkpoints on the training and test data, along with the checkpoints themselves, making it broadly applicable even when the loss function of interest is non-differentiable. Beyond its computational efficiency, our approach achieves superior accuracy in estimating self-influence and comparable or improved accuracy in estimating train-test influence for fine-tuned large language models, enabling scalable and practical analysis of how training data shapes model behavior.
title Z0-Inf: Zeroth Order Approximation for Data Influence
topic Machine Learning
url https://arxiv.org/abs/2510.11832