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High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

Machine Learning · Statistics 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

Generative modeling has recently undergone remarkable advancements, primarily propelled by the transformative implications of Diffusion Probabilistic Models (DPMs). The impressive capability of these models, however, often entails…

Machine Learning · Computer Science 2023-10-03 Gongfan Fang , Xinyin Ma , Xinchao Wang

Diffusion models have demonstrated strong performance in time series forecasting, yet often suffer from semantic misalignment between generated trajectories and conditioning covariates, especially under complex or multimodal conditions. To…

Machine Learning · Computer Science 2025-08-05 Rui Ding , Hanyang Meng , Zeyang Zhang , Jielong Yang

As powerful generative models, text-to-image diffusion models have recently been explored for discriminative tasks. A line of research focuses on adapting a pre-trained diffusion model to semantic segmentation without any further training,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Benyuan Meng , Qianqian Xu , Zitai Wang , Xiaochun Cao , Longtao Huang , Qingming Huang

We propose a class of structured diffusion models, in which the prior distribution is chosen as a mixture of Gaussians, rather than a standard Gaussian distribution. The specific mixed Gaussian distribution, as prior, can be chosen to…

Machine Learning · Computer Science 2024-10-28 Nanshan Jia , Tingyu Zhu , Haoyu Liu , Zeyu Zheng

Diffusion models have quickly become some of the most popular and powerful generative models for high-dimensional data. The key insight that enabled their development was the realization that access to the score -- the gradient of the…

Machine Learning · Computer Science 2025-12-01 Zhenghan Fang , Mateo Díaz , Sam Buchanan , Jeremias Sulam

The proposed method, Discriminator Guidance, aims to improve sample generation of pre-trained diffusion models. The approach introduces a discriminator that gives explicit supervision to a denoising sample path whether it is realistic or…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Dongjun Kim , Yeongmin Kim , Se Jung Kwon , Wanmo Kang , Il-Chul Moon

Diffusion models are a class of probabilistic generative models that have been widely used as a prior for image processing tasks like text conditional generation and inpainting. We demonstrate that these models can be adapted to make…

Machine Learning · Computer Science 2023-06-14 Marc Finzi , Anudhyan Boral , Andrew Gordon Wilson , Fei Sha , Leonardo Zepeda-Núñez

Graph Domain Adaptation (GDA) aims to bridge distribution shifts between domains by transferring knowledge from well-labeled source graphs to given unlabeled target graphs. One promising recent approach addresses graph transfer by…

Machine Learning · Computer Science 2026-02-12 Wei Chen , Xingyu Guo , Shuang Li , Yan Zhong , Zhao Zhang , Fuzhen Zhuang , Hongrui Liu , Libang Zhang , Guo Ye , Huimei He

Score-based generative models can effectively learn the distribution of data by estimating the gradient of the distribution. Due to the multi-step denoising characteristic, researchers have recently considered combining score-based…

Machine Learning · Computer Science 2024-12-17 Changyuan Zhao , Hongyang Du , Guangyuan Liu , Dusit Niyato

Diffusion models have gained prominence as state-of-the-art techniques for synthesizing images and videos, particularly due to their ability to scale effectively with large datasets. Recent studies have uncovered that these extensive…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Dat Nguyen Cong , Hieu Tran Bao , Hoang Thanh-Tung

Real-world datasets are inherently heterogeneous, yet how per-class structural differences and sampling imbalance shape the training dynamics of diffusion models-and potentially exacerbate disparities-remains poorly understood. While models…

Machine Learning · Statistics 2026-05-08 Flavio Nicoletti , Chenxiao Ma , Enrico Ventura , Luca Saglietti , Stefano Sarao Mannelli

Recent advances in denoising diffusion probabilistic models have shown great success in image synthesis tasks. While there are already works exploring the potential of this powerful tool in image semantic segmentation, its application in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xinrong Hu , Yu-Jen Chen , Tsung-Yi Ho , Yiyu Shi

Diffusion models are renowned for their generative capabilities, yet their pretraining processes exhibit distinct phases of learning speed that have been entirely overlooked in prior post-training acceleration efforts in the community. In…

Machine Learning · Computer Science 2025-10-15 Bowei Guo , Shengkun Tang , Cong Zeng , Zhiqiang Shen

Structured (dictionary-like) data presents challenges for left-to-right language models, as they can struggle with structured entities for a wide variety of reasons such as formatting and sensitivity to the order in which attributes are…

Machine Learning · Computer Science 2024-02-08 Ouail Kitouni , Niklas Nolte , James Hensman , Bhaskar Mitra

Time series generation is widely used in real-world applications such as simulation, data augmentation, and hypothesis testing. Recently, diffusion models have emerged as the de facto approach to time series generation, enabling diverse…

Machine Learning · Computer Science 2025-12-25 Jinseong Park , Seungyun Lee , Woojin Jeong , Yujin Choi , Jaewook Lee

Image synthesis approaches, e.g., generative adversarial networks, have been popular as a form of data augmentation in medical image analysis tasks. It is primarily beneficial to overcome the shortage of publicly accessible data and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Shiyi Du , Xiaosong Wang , Yongyi Lu , Yuyin Zhou , Shaoting Zhang , Alan Yuille , Kang Li , Zongwei Zhou

Missing value imputation in machine learning is the task of estimating the missing values in the dataset accurately using available information. In this task, several deep generative modeling methods have been proposed and demonstrated…

Machine Learning · Computer Science 2023-03-14 Shuhan Zheng , Nontawat Charoenphakdee

Understanding causal dependencies in observational data is critical for informing decision-making. These relationships are often modeled as Bayesian Networks (BNs) and Directed Acyclic Graphs (DAGs). Existing methods, such as NOTEARS and…

Machine Learning · Computer Science 2026-04-03 Hao Zhu , Di Zhou , Donna Slonim

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu