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Main Authors: Zhu, Hongbo, Cangelosi, Angelo
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.07297
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author Zhu, Hongbo
Cangelosi, Angelo
author_facet Zhu, Hongbo
Cangelosi, Angelo
contents The goal of data attribution is to trace the model's predictions through the learning algorithm and back to its training data. thereby identifying the most influential training samples and understanding how the model's behavior leads to particular predictions. Understanding how individual training examples influence a model's predictions is fundamental for machine learning interpretability, data debugging, and model accountability. Influence functions, originating from robust statistics, offer an efficient, first-order approximation to estimate the impact of marginally upweighting or removing a data point on a model's learned parameters and its subsequent predictions, without the need for expensive retraining. This paper comprehensively reviews the data attribution capability of influence functions in deep learning. We discuss their theoretical foundations, recent algorithmic advances for efficient inverse-Hessian-vector product estimation, and evaluate their effectiveness for data attribution and mislabel detection. Finally, highlighting current challenges and promising directions for unleashing the huge potential of influence functions in large-scale, real-world deep learning scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07297
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting Data Attribution for Influence Functions
Zhu, Hongbo
Cangelosi, Angelo
Machine Learning
Artificial Intelligence
The goal of data attribution is to trace the model's predictions through the learning algorithm and back to its training data. thereby identifying the most influential training samples and understanding how the model's behavior leads to particular predictions. Understanding how individual training examples influence a model's predictions is fundamental for machine learning interpretability, data debugging, and model accountability. Influence functions, originating from robust statistics, offer an efficient, first-order approximation to estimate the impact of marginally upweighting or removing a data point on a model's learned parameters and its subsequent predictions, without the need for expensive retraining. This paper comprehensively reviews the data attribution capability of influence functions in deep learning. We discuss their theoretical foundations, recent algorithmic advances for efficient inverse-Hessian-vector product estimation, and evaluate their effectiveness for data attribution and mislabel detection. Finally, highlighting current challenges and promising directions for unleashing the huge potential of influence functions in large-scale, real-world deep learning scenarios.
title Revisiting Data Attribution for Influence Functions
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2508.07297