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Diffusion and flow-based models have enabled significant progress in generation tasks across various modalities and have recently found applications in predictive learning. However, unlike typical generation tasks that encourage sample…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yu Zhang , Xingzhuo Guo , Haoran Xu , Jialong Wu , Mingsheng Long

The accuracy of deep learning, i.e., deep neural networks, can be characterized by dividing the total error into three main types: approximation error, optimization error, and generalization error. Whereas there are some satisfactory…

Machine Learning · Statistics 2021-11-03 Pengzhan Jin , Lu Lu , Yifa Tang , George Em Karniadakis

Deep learning models frequently make incorrect predictions with high confidence when presented with test examples that are not well represented in their training dataset. We propose a novel and straightforward approach to estimate…

Machine Learning · Computer Science 2019-10-04 Tiago Ramalho , Miguel Miranda

Despite the remarkable generation capabilities of Diffusion Models (DMs), conducting training and inference remains computationally expensive. Previous works have been devoted to accelerating diffusion sampling, but achieving data-efficient…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Yize Li , Yihua Zhang , Sijia Liu , Xue Lin

Generative models have become a powerful tool for synthesizing training data in computer vision tasks. Current approaches solely focus on aligning generated images with the target dataset distribution. As a result, they capture only the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Zerun Wang , Jiafeng Mao , Xueting Wang , Toshihiko Yamasaki

The problem of model collapse has presented new challenges in iterative training of generative models, where such training with synthetic data leads to an overall degradation of performance. This paper looks at the problem from a…

Machine Learning · Statistics 2026-02-19 Soham Bakshi , Sunrit Chakraborty

Diffusion models are distinguished by their exceptional generative performance, particularly in producing high-quality samples through iterative denoising. While current theory suggests that the number of denoising steps required for…

Machine Learning · Computer Science 2025-04-08 Gen Li , Changxiao Cai , Yuting Wei

As Diffusion Models have shown promising performance, a lot of efforts have been made to improve the controllability of Diffusion Models. However, how to train Diffusion Models to have the disentangled latent spaces and how to naturally…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Wonwoong Cho , Hareesh Ravi , Midhun Harikumar , Vinh Khuc , Krishna Kumar Singh , Jingwan Lu , David I. Inouye , Ajinkya Kale

With the rapidly growing model complexity and data volume, training deep generative models (DGMs) for better performance has becoming an increasingly more important challenge. Previous research on this problem has mainly focused on…

Machine Learning · Computer Science 2021-12-08 Yufan Zhou , Chunyuan Li , Changyou Chen , Jinhui Xu

In this paper, we analyze the scalability of a recent Wasserstein-distance approach for training stochastic neural networks (SNNs) to reconstruct multidimensional random field models. We prove a generalization error bound for reconstructing…

Machine Learning · Computer Science 2025-11-19 Mingtao Xia , Qijing Shen

This paper considers the problem of regression over distributions, which is becoming increasingly important in machine learning. Existing approaches often ignore the geometry of the probability space or are computationally expensive. To…

Machine Learning · Computer Science 2025-10-31 Maksim Maslov , Alexander Kugaevskikh , Matthew Ivanov

This paper studies sampling error bounds for denoising diffusion probabilistic models (DDPMs) in the 2-Wasserstein distance. Our contributions are threefold. (i) Under general Lipschitz-type conditions on the score function and for a broad…

Machine Learning · Statistics 2026-05-19 Yuta Koike

Diffusion-based generative models have achieved remarkable performance across various domains, yet their practical deployment is often limited by high sampling costs. While prior work focuses on training objectives or individual solvers,…

Machine Learning · Computer Science 2026-02-16 Sangwoo Jo , Sungjoon Choi

In Diffusion Probabilistic Models (DPMs), the task of modeling the score evolution via a single time-dependent neural network necessitates extended training periods and may potentially impede modeling flexibility and capacity. To counteract…

Machine Learning · Computer Science 2023-06-06 Etrit Haxholli , Marco Lorenzi

Diffusion models are recent state-of-the-art methods for image generation and likelihood estimation. In this work, we generalize continuous-time diffusion models to arbitrary Riemannian manifolds and derive a variational framework for…

Machine Learning · Computer Science 2022-08-18 Chin-Wei Huang , Milad Aghajohari , Avishek Joey Bose , Prakash Panangaden , Aaron Courville

Ensembling a neural network is a widely recognized approach to enhance model performance, estimate uncertainty, and improve robustness in deep supervised learning. However, deep ensembles often come with high computational costs and memory…

We present DREAM, a novel training framework representing Diffusion Rectification and Estimation Adaptive Models, requiring minimal code changes (just three lines) yet significantly enhancing the alignment of training with sampling in…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Jinxin Zhou , Tianyu Ding , Tianyi Chen , Jiachen Jiang , Ilya Zharkov , Zhihui Zhu , Luming Liang

Recently, an extensive amount of research has been focused on compressing and accelerating Deep Neural Networks (DNN). So far, high compression rate algorithms require part of the training dataset for a low precision calibration, or a…

Machine Learning · Computer Science 2020-04-08 Matan Haroush , Itay Hubara , Elad Hoffer , Daniel Soudry

Many real-world applications of flow-based generative models desire a diverse set of samples that cover multiple modes of the target distribution. However, the predominant approach for obtaining diverse sets is not sample-efficient, as it…

Machine Learning · Computer Science 2025-04-11 Mashrur M. Morshed , Vishnu Boddeti

Diffusion models have achieved remarkable success in generating high-quality images thanks to their novel training procedures applied to unprecedented amounts of data. However, training a diffusion model from scratch is computationally…

Machine Learning · Computer Science 2023-03-28 Michał Zając , Kamil Deja , Anna Kuzina , Jakub M. Tomczak , Tomasz Trzciński , Florian Shkurti , Piotr Miłoś