Using Synthetic Data to estimate the True Error is theoretically and practically doable

Fuente: arXiv
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Autores principales: Thanh, Hai Hoang, Nguyen, Duy-Tung, Tran, Hung The, Than, Khoat
Formato: Preprint
Publicado: 2025
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author Thanh, Hai Hoang
Nguyen, Duy-Tung
Tran, Hung The
Than, Khoat
author_facet Thanh, Hai Hoang
Nguyen, Duy-Tung
Tran, Hung The
Than, Khoat
contents Accurately evaluating model performance is crucial for deploying machine learning systems in real-world applications. Traditional methods often require a sufficiently large labeled test set to ensure a reliable evaluation. However, in many contexts, a large labeled dataset is costly and labor-intensive. Therefore, we sometimes have to do evaluation by a few labeled samples, which is theoretically challenging. Recent advances in generative models offer a promising alternative by enabling the synthesis of high-quality data. In this work, we make a systematic investigation about the use of synthetic data to estimate the test error of a trained model under limited labeled data conditions. To this end, we develop novel generalization bounds that take synthetic data into account. Those bounds suggest novel ways to optimize synthetic samples for evaluation and theoretically reveal the significant role of the generator's quality. Inspired by those bounds, we propose a theoretically grounded method to generate optimized synthetic data for model evaluation. Experimental results on simulation and tabular datasets demonstrate that, compared to existing baselines, our method achieves accurate and more reliable estimates of the test error.
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id arxiv_https___arxiv_org_abs_2511_00964
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Using Synthetic Data to estimate the True Error is theoretically and practically doable
Thanh, Hai Hoang
Nguyen, Duy-Tung
Tran, Hung The
Than, Khoat
Machine Learning
Artificial Intelligence
Accurately evaluating model performance is crucial for deploying machine learning systems in real-world applications. Traditional methods often require a sufficiently large labeled test set to ensure a reliable evaluation. However, in many contexts, a large labeled dataset is costly and labor-intensive. Therefore, we sometimes have to do evaluation by a few labeled samples, which is theoretically challenging. Recent advances in generative models offer a promising alternative by enabling the synthesis of high-quality data. In this work, we make a systematic investigation about the use of synthetic data to estimate the test error of a trained model under limited labeled data conditions. To this end, we develop novel generalization bounds that take synthetic data into account. Those bounds suggest novel ways to optimize synthetic samples for evaluation and theoretically reveal the significant role of the generator's quality. Inspired by those bounds, we propose a theoretically grounded method to generate optimized synthetic data for model evaluation. Experimental results on simulation and tabular datasets demonstrate that, compared to existing baselines, our method achieves accurate and more reliable estimates of the test error.
title Using Synthetic Data to estimate the True Error is theoretically and practically doable
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.00964