Towards Robust Influence Functions with Flat Validation Minima

Fuente: arXiv
Enregistré dans:
Détails bibliographiques
Auteurs principaux: Ye, Xichen, Wu, Yifan, Zhang, Weizhong, Jin, Cheng, Chen, Yifan
Format: Preprint
Publié: 2025
Sujets:
Accès en ligne:
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
_version_ 1866917114875478016
author Ye, Xichen
Wu, Yifan
Zhang, Weizhong
Jin, Cheng
Chen, Yifan
author_facet Ye, Xichen
Wu, Yifan
Zhang, Weizhong
Jin, Cheng
Chen, Yifan
contents The Influence Function (IF) is a widely used technique for assessing the impact of individual training samples on model predictions. However, existing IF methods often fail to provide reliable influence estimates in deep neural networks, particularly when applied to noisy training data. This issue does not stem from inaccuracies in parameter change estimation, which has been the primary focus of prior research, but rather from deficiencies in loss change estimation, specifically due to the sharpness of validation risk. In this work, we establish a theoretical connection between influence estimation error, validation set risk, and its sharpness, underscoring the importance of flat validation minima for accurate influence estimation. Furthermore, we introduce a novel estimation form of Influence Function specifically designed for flat validation minima. Experimental results across various tasks validate the superiority of our approach.
format Preprint
id arxiv_https___arxiv_org_abs_2505_19097
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards Robust Influence Functions with Flat Validation Minima
Ye, Xichen
Wu, Yifan
Zhang, Weizhong
Jin, Cheng
Chen, Yifan
Machine Learning
The Influence Function (IF) is a widely used technique for assessing the impact of individual training samples on model predictions. However, existing IF methods often fail to provide reliable influence estimates in deep neural networks, particularly when applied to noisy training data. This issue does not stem from inaccuracies in parameter change estimation, which has been the primary focus of prior research, but rather from deficiencies in loss change estimation, specifically due to the sharpness of validation risk. In this work, we establish a theoretical connection between influence estimation error, validation set risk, and its sharpness, underscoring the importance of flat validation minima for accurate influence estimation. Furthermore, we introduce a novel estimation form of Influence Function specifically designed for flat validation minima. Experimental results across various tasks validate the superiority of our approach.
title Towards Robust Influence Functions with Flat Validation Minima
topic Machine Learning
url https://arxiv.org/abs/2505.19097