Adjusted Count Quantification Learning on Graphs

Fuente: arXiv
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Main Authors: Damke, Clemens, Hüllermeier, Eyke
Format: Preprint
Published: 2025
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author Damke, Clemens
Hüllermeier, Eyke
author_facet Damke, Clemens
Hüllermeier, Eyke
contents Quantification learning is the task of predicting the label distribution of a set of instances. We study this problem in the context of graph-structured data, where the instances are vertices. Previously, this problem has only been addressed via node clustering methods. In this paper, we extend the popular Adjusted Classify & Count (ACC) method to graphs. We show that the prior probability shift assumption upon which ACC relies is often not applicable to graph quantification problems. To address this issue, we propose structural importance sampling (SIS), the first graph quantification method that is applicable under (structural) covariate shift. Additionally, we propose Neighborhood-aware ACC, which improves quantification in the presence of non-homophilic edges. We show the effectiveness of our techniques on multiple graph quantification tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09395
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adjusted Count Quantification Learning on Graphs
Damke, Clemens
Hüllermeier, Eyke
Machine Learning
Quantification learning is the task of predicting the label distribution of a set of instances. We study this problem in the context of graph-structured data, where the instances are vertices. Previously, this problem has only been addressed via node clustering methods. In this paper, we extend the popular Adjusted Classify & Count (ACC) method to graphs. We show that the prior probability shift assumption upon which ACC relies is often not applicable to graph quantification problems. To address this issue, we propose structural importance sampling (SIS), the first graph quantification method that is applicable under (structural) covariate shift. Additionally, we propose Neighborhood-aware ACC, which improves quantification in the presence of non-homophilic edges. We show the effectiveness of our techniques on multiple graph quantification tasks.
title Adjusted Count Quantification Learning on Graphs
topic Machine Learning
url https://arxiv.org/abs/2503.09395