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Learning the cumulative distribution function (CDF) of an outcome variable conditional on a set of features remains challenging, especially in high-dimensional settings. Conditional transformation models provide a semi-parametric approach…

Machine Learning · Computer Science 2021-10-05 Philipp F. M. Baumann , Torsten Hothorn , David Rügamer

The class-conditional image generation based on diffusion models is renowned for generating high-quality and diverse images. However, most prior efforts focus on generating images for general categories, e.g., 1000 classes in ImageNet-1k. A…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Ziying Pan , Kun Wang , Gang Li , Feihong He , Yongxuan Lai

Diffusion models, which leverage stochastic processes to capture complex data distributions effectively, have shown their performance as generative models, achieving notable success in image-related tasks through iterative denoising…

Machine Learning · Computer Science 2024-08-21 Toshihide Ubukata , Jialong Li , Kenji Tei

Real data are constrained to finite sampling rates, which calls for a suitable mathematical description of the corrections to the finite-time estimations of the dynamic equations. Often in the literature, lower order discrete time…

Data Analysis, Statistics and Probability · Physics 2015-05-13 C. Anteneodo , R. Riera

Class-labeled datasets, particularly those common in scientific domains, are rife with internal structure, yet current class-conditional diffusion models ignore these relationships and implicitly diffuse on all classes in a flat fashion. To…

Machine Learning · Computer Science 2024-02-05 Alex M. Tseng , Max Shen , Tommaso Biancalani , Gabriele Scalia

Recent advancements in diffusion models have revolutionized generative modeling. However, the impressive and vivid outputs they produce often come at the cost of significant model scaling and increased computational demands. Consequently,…

Machine Learning · Computer Science 2025-04-03 Jincheng Zhong , Xiangcheng Zhang , Jianmin Wang , Mingsheng Long

While efficient distribution learning is no doubt behind the groundbreaking success of diffusion modeling, its theoretical guarantees are quite limited. In this paper, we provide the first rigorous analysis on approximation and…

Machine Learning · Statistics 2023-03-06 Kazusato Oko , Shunta Akiyama , Taiji Suzuki

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Statistical system models provide the basis for the examination of various sorts of distributions. Classification distributions are a very common and versatile form of statistics in e.g. real economic, social, and IT systems. The…

Computation · Statistics 2019-12-20 Uwe Petersohn , Thomas Dedek , Sandra Zimmer , Hans Biskupski

Discrete diffusion models (DDMs) are a powerful class of generative models for categorical data, but they typically require many function evaluations for a single sample, making inference expensive. Existing acceleration methods either rely…

Machine Learning · Computer Science 2025-12-16 Yansong Gao , Yu Sun

Diffusion models have shown exceptional scaling properties in the image synthesis domain, and initial attempts have shown similar benefits for applying diffusion to unconditional text synthesis. Denoising diffusion models attempt to…

Audio and Speech Processing · Electrical Eng. & Systems 2022-10-17 Matthew Baas , Kevin Eloff , Herman Kamper

State-of-the-art diffusion models can generate highly realistic images based on various conditioning like text, segmentation, and depth. However, an essential aspect often overlooked is the specific camera geometry used during image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Andrey Voynov , Amir Hertz , Moab Arar , Shlomi Fruchter , Daniel Cohen-Or

Diffusion models have shown impressive performance for image generation, often times outperforming other generative models. Since their introduction, researchers have extended the powerful noise-to-image denoising pipeline to discriminative…

Image and Video Processing · Electrical Eng. & Systems 2023-12-21 Fahim Ahmed Zaman , Mathews Jacob , Amanda Chang , Kan Liu , Milan Sonka , Xiaodong Wu

Statistical inference on large-dimensional tensor data has been extensively studied in the literature and widely used in economics, biology, machine learning, and other fields, but how to generate a structured tensor with a target…

Methodology · Statistics 2026-04-02 Jianhua Guo , Xinbing Kong , Zeyu Li , Junfan Mao

Classifier guidance is a recently introduced method to trade off mode coverage and sample fidelity in conditional diffusion models post training, in the same spirit as low temperature sampling or truncation in other types of generative…

Machine Learning · Computer Science 2022-07-27 Jonathan Ho , Tim Salimans

Score-based diffusion models have recently been extended to infinite-dimensional function spaces, with uses such as inverse problems arising from partial differential equations. In the Bayesian formulation of inverse problems, the aim is to…

Machine Learning · Computer Science 2026-05-12 Elizabeth L. Baker , Alexander Denker , Jes Frellsen

Score-based diffusion models have demonstrated outstanding empirical performance in machine learning and artificial intelligence, particularly in generating high-quality new samples from complex probability distributions. Improving the…

Machine Learning · Statistics 2025-05-30 Yuchen Jiao , Gen Li

Recent advances in diffusion models bring state-of-the-art performance on image generation tasks. However, empirical results from previous research in diffusion models imply an inverse correlation between density estimation and sample…

Machine Learning · Computer Science 2022-06-14 Dongjun Kim , Seungjae Shin , Kyungwoo Song , Wanmo Kang , Il-Chul Moon

Pre-trained diffusion models have demonstrated remarkable proficiency in synthesizing images across a wide range of scenarios with customizable prompts, indicating their effective capacity to capture universal features. Motivated by this,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Yuxiang Ji , Boyong He , Chenyuan Qu , Zhuoyue Tan , Chuan Qin , Liaoni Wu

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