Bias-Corrected Data Synthesis for Imbalanced Learning

Fuente: arXiv
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Autores principales: Lyu, Pengfei, Ma, Zhengchi, Zhang, Linjun, Zhang, Anru R.
Formato: Preprint
Publicado: 2025
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author Lyu, Pengfei
Ma, Zhengchi
Zhang, Linjun
Zhang, Anru R.
author_facet Lyu, Pengfei
Ma, Zhengchi
Zhang, Linjun
Zhang, Anru R.
contents Imbalanced data, where the positive samples represent only a small proportion compared to the negative samples, makes it challenging for classification problems to balance the false positive and false negative rates. A common approach to addressing the challenge involves generating synthetic data for the minority group and then training classification models with both observed and synthetic data. However, since the synthetic data depends on the observed data and fails to replicate the original data distribution accurately, prediction accuracy is reduced when the synthetic data is naïvely treated as the true data. In this paper, we address the bias introduced by synthetic data and provide consistent estimators for this bias by borrowing information from the majority group. We propose a bias correction procedure to mitigate the adverse effects of synthetic data, enhancing prediction accuracy while avoiding overfitting. This procedure is extended to broader scenarios with imbalanced data, such as imbalanced multi-task learning and causal inference. Theoretical properties, including bounds on bias estimation errors and improvements in prediction accuracy, are provided. Simulation results and data analysis on handwritten digit datasets demonstrate the effectiveness of our method.
format Preprint
id arxiv_https___arxiv_org_abs_2510_26046
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bias-Corrected Data Synthesis for Imbalanced Learning
Lyu, Pengfei
Ma, Zhengchi
Zhang, Linjun
Zhang, Anru R.
Machine Learning
Methodology
Imbalanced data, where the positive samples represent only a small proportion compared to the negative samples, makes it challenging for classification problems to balance the false positive and false negative rates. A common approach to addressing the challenge involves generating synthetic data for the minority group and then training classification models with both observed and synthetic data. However, since the synthetic data depends on the observed data and fails to replicate the original data distribution accurately, prediction accuracy is reduced when the synthetic data is naïvely treated as the true data. In this paper, we address the bias introduced by synthetic data and provide consistent estimators for this bias by borrowing information from the majority group. We propose a bias correction procedure to mitigate the adverse effects of synthetic data, enhancing prediction accuracy while avoiding overfitting. This procedure is extended to broader scenarios with imbalanced data, such as imbalanced multi-task learning and causal inference. Theoretical properties, including bounds on bias estimation errors and improvements in prediction accuracy, are provided. Simulation results and data analysis on handwritten digit datasets demonstrate the effectiveness of our method.
title Bias-Corrected Data Synthesis for Imbalanced Learning
topic Machine Learning
Methodology
url https://arxiv.org/abs/2510.26046