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The emergence of generative AI models has dramatically expanded the availability and use of synthetic data across scientific, industrial, and policy domains. While these developments open new possibilities for data analysis, they also raise…

Machine Learning · Statistics 2026-03-06 Ahmad Abdel-Azim , Ruoyu Wang , Xihong Lin

The rapid advancement of generative models, such as Stable Diffusion, raises a key question: how can synthetic data from these models enhance predictive modeling? While they can generate vast amounts of datasets, only a subset meaningfully…

Machine Learning · Statistics 2025-05-09 Jialong Jiang , Wenkang Hu , Jian Huang , Yuling Jiao , Xu Liu

Learning with kernels is an important concept in machine learning. Standard approaches for kernel methods often use predefined kernels that require careful selection of hyperparameters. To mitigate this burden, we propose in this paper a…

Machine Learning · Computer Science 2020-06-26 Yufan Zhou , Changyou Chen , Jinhui Xu

Programmatically generated synthetic data has been used in differential private training for classification to enhance performance without privacy leakage. However, as the synthetic data is generated from a random process, the distribution…

Machine Learning · Computer Science 2024-12-16 Yujin Choi , Jinseong Park , Junyoung Byun , Jaewook Lee

Synthetic data can improve generalization when real data is scarce, but excessive reliance may introduce distributional mismatches that degrade performance. In this paper, we present a learning-theoretic framework to quantify the trade-off…

Machine Learning · Statistics 2026-04-02 Amitis Shidani , Tyler Farghly , Yang Sun , Habib Ganjgahi , George Deligiannidis

Numerically efficient and stable algorithms are essential for kernel-based regularized system identification. The state of art algorithms exploit the semiseparable structure of the kernel and are based on the generator representation of the…

Numerical Analysis · Mathematics 2025-11-04 Zhuohua Shen , Junpeng Zhang , Martin S. Andersen , Tianshi Chen

Accurate particle size distribution (PSD) measurement is important in industries such as mining, pharmaceuticals, and fertilizer manufacturing, significantly influencing product quality and operational efficiency. Traditional PSD methods…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Yasser El Jarida , Youssef Iraqi , Loubna Mekouar

We propose two novel samplers to generate high-quality samples from a given (un-normalized) probability density. Motivated by the success of generative adversarial networks, we construct our samplers using deep neural networks that…

Machine Learning · Statistics 2021-02-10 Tianyang Hu , Zixiang Chen , Hanxi Sun , Jincheng Bai , Mao Ye , Guang Cheng

Generative adversarial networks constitute a powerful approach to generative modeling. While generated samples often are indistinguishable from real data, there is no guarantee that they will follow the true data distribution. For…

Machine Learning · Statistics 2024-09-09 Philipp Pilar , Niklas Wahlström

Automating quality inspection with computer vision techniques is often a very data-demanding task. Specifically, supervised deep learning requires a large amount of annotated images for training. In practice, collecting and annotating such…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Antoine Cordier , Pierre Gutierrez , Victoire Plessis

With the rapid advancement of synthetic dataset generation techniques, evaluating the quality of synthetic data has become a critical research focus. Robust evaluation not only drives innovations in data generation methods but also guides…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Zhihang Song , Dingyi Yao , Ruibo Ming , Lihui Peng , Danya Yao , Yi Zhang

Synthetic data is a standard component in training large language models, yet systematic comparisons across design dimensions, including rephrasing strategy, generator model, and source data, remain absent. We conduct extensive controlled…

Goodness-of-fit testing is often criticized for its lack of practical relevance: since ``all models are wrong'', the null hypothesis that the data conform to our model is ultimately always rejected as the sample size grows. Despite this,…

Machine Learning · Statistics 2025-10-24 Xing Liu , François-Xavier Briol

Self-training (ST) has come to fruition in language understanding tasks by producing pseudo labels, which reduces the labeling bottleneck of language model fine-tuning. Nevertheless, in facilitating semi-supervised controllable language…

Computation and Language · Computer Science 2023-06-21 Yuxi Feng , Xiaoyuan Yi , Laks V. S. Lakshmanan , Xing Xie

Learning to differentiate model distributions from observed data is a fundamental problem in statistics and machine learning, and high-dimensional data remains a challenging setting for such problems. Metrics that quantify the disparity in…

Machine Learning · Statistics 2023-05-03 Matthew Repasky , Xiuyuan Cheng , Yao Xie

Stein importance sampling is a widely applicable technique based on kernelized Stein discrepancy, which corrects the output of approximate sampling algorithms by reweighting the empirical distribution of the samples. A general analysis of…

Statistics Theory · Mathematics 2021-09-14 Liam Hodgkinson , Robert Salomone , Fred Roosta

This paper investigates synthetic data generation strategies in developing generative retrieval models for domain-specific corpora, thereby addressing the scalability challenges inherent in manually annotating in-domain queries. We study…

Computation and Language · Computer Science 2025-02-26 Haoyang Wen , Jiang Guo , Yi Zhang , Jiarong Jiang , Zhiguo Wang

In this paper, we show how kernel-based models for the Koopman generator -- the gEDMD method -- can be used to identify coarse-grained dynamics on reduced variables, which retain the slowest transition timescales of the original dynamics.…

Computational Physics · Physics 2025-03-26 Vahid Nateghi , Feliks Nüske

We propose a deep generative approach to sampling from a conditional distribution based on a unified formulation of conditional distribution and generalized nonparametric regression function using the noise-outsourcing lemma. The proposed…

Statistics Theory · Mathematics 2021-10-22 Xingyu Zhou , Yuling Jiao , Jin Liu , Jian Huang

Generative data-free quantization emerges as a practical compression approach that quantizes deep neural networks to low bit-width without accessing the real data. This approach generates data utilizing batch normalization (BN) statistics…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Haotong Qin , Yifu Ding , Xiangguo Zhang , Jiakai Wang , Xianglong Liu , Jiwen Lu