Enhancing Missing Data Imputation through Combined Bipartite Graph and Complete Directed Graph

Fuente: arXiv
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Autori principali: Zhang, Zhaoyang, Zhu, Hongtu, Chen, Ziqi, Zhang, Yingjie, Shu, Hai
Natura: Preprint
Pubblicazione: 2024
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author Zhang, Zhaoyang
Zhu, Hongtu
Chen, Ziqi
Zhang, Yingjie
Shu, Hai
author_facet Zhang, Zhaoyang
Zhu, Hongtu
Chen, Ziqi
Zhang, Yingjie
Shu, Hai
contents In this paper, we aim to address a significant challenge in the field of missing data imputation: identifying and leveraging the interdependencies among features to enhance missing data imputation for tabular data. We introduce a novel framework named the Bipartite and Complete Directed Graph Neural Network (BCGNN). Within BCGNN, observations and features are differentiated as two distinct node types, and the values of observed features are converted into attributed edges linking them. The bipartite segment of our framework inductively learns embedding representations for nodes, efficiently utilizing the comprehensive information encapsulated in the attributed edges. In parallel, the complete directed graph segment adeptly outlines and communicates the complex interdependencies among features. When compared to contemporary leading imputation methodologies, BCGNN consistently outperforms them, achieving a noteworthy average reduction of 15% in mean absolute error for feature imputation tasks under different missing mechanisms. Our extensive experimental investigation confirms that an in-depth grasp of the interdependence structure substantially enhances the model's feature embedding ability. We also highlight the model's superior performance in label prediction tasks involving missing data, and its formidable ability to generalize to unseen data points.
format Preprint
id arxiv_https___arxiv_org_abs_2411_04907
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Enhancing Missing Data Imputation through Combined Bipartite Graph and Complete Directed Graph
Zhang, Zhaoyang
Zhu, Hongtu
Chen, Ziqi
Zhang, Yingjie
Shu, Hai
Machine Learning
In this paper, we aim to address a significant challenge in the field of missing data imputation: identifying and leveraging the interdependencies among features to enhance missing data imputation for tabular data. We introduce a novel framework named the Bipartite and Complete Directed Graph Neural Network (BCGNN). Within BCGNN, observations and features are differentiated as two distinct node types, and the values of observed features are converted into attributed edges linking them. The bipartite segment of our framework inductively learns embedding representations for nodes, efficiently utilizing the comprehensive information encapsulated in the attributed edges. In parallel, the complete directed graph segment adeptly outlines and communicates the complex interdependencies among features. When compared to contemporary leading imputation methodologies, BCGNN consistently outperforms them, achieving a noteworthy average reduction of 15% in mean absolute error for feature imputation tasks under different missing mechanisms. Our extensive experimental investigation confirms that an in-depth grasp of the interdependence structure substantially enhances the model's feature embedding ability. We also highlight the model's superior performance in label prediction tasks involving missing data, and its formidable ability to generalize to unseen data points.
title Enhancing Missing Data Imputation through Combined Bipartite Graph and Complete Directed Graph
topic Machine Learning
url https://arxiv.org/abs/2411.04907