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While conditional diffusion models are known to have good coverage of the data distribution, they still face limitations in output diversity, particularly when sampled with a high classifier-free guidance scale for optimal image quality or…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Seyedmorteza Sadat , Jakob Buhmann , Derek Bradley , Otmar Hilliges , Romann M. Weber

Given an unconditional diffusion model targeting a joint model $\pi(x, y)$, using it to perform conditional simulation $\pi(x \mid y)$ is still largely an open question and is typically achieved by learning conditional drifts to the…

Machine Learning · Statistics 2025-02-21 Adrien Corenflos , Zheng Zhao , Simo Särkkä , Jens Sjölund , Thomas B. Schön

Aiming to generalize the label knowledge from a source domain with continuous outputs to an unlabeled target domain, Domain Adaptation Regression (DAR) is developed for complex practical learning problems. However, due to the continuity…

Machine Learning · Computer Science 2024-08-14 Hao-Ran Yang , Chuan-Xian Ren , You-Wei Luo

Standard diffusion models are flexible estimators of complex distributions, but they do not encode causal structures and therefore do not by themselves support causal analysis. We propose a causality-encoded diffusion framework that…

Methodology · Statistics 2026-04-24 Li Chen , Xiaotong Shen , Wei Pan

The primary axes of interest in image-generating diffusion models are image quality, the amount of variation in the results, and how well the results align with a given condition, e.g., a class label or a text prompt. The popular…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Tero Karras , Miika Aittala , Tuomas Kynkäänniemi , Jaakko Lehtinen , Timo Aila , Samuli Laine

Machine learning models are increasingly trained or fine-tuned on synthetic data. Recursively training on such data has been observed to significantly degrade performance in a wide range of tasks, often characterized by a progressive drift…

Machine Learning · Statistics 2026-02-19 Nail B. Khelifa , Richard E. Turner , Ramji Venkataramanan

Diffusion models have emerged as a pivotal advancement in generative models, setting new standards to the quality of the generated instances. In the current paper we aim to underscore a discrepancy between conventional training methods and…

Machine Learning · Computer Science 2023-11-03 Niket Patel , Luis Salamanca , Luis Barba

Part I of this work [2] developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of…

Optimization and Control · Mathematics 2017-12-27 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

We propose an efficient framework for amortized conditional inference by leveraging exact conditional score-guided diffusion models to train a non-reversible neural network as a conditional generative model. Traditional normalizing flow…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Zezhong Zhang , Caroline Tatsuoka , Dongbin Xiu , Guannan Zhang

Classifier-guided diffusion models have emerged as a powerful approach for conditional image generation, but they suffer from overconfident predictions during early denoising steps, causing the guidance gradient to vanish. This paper…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Seyed Alireza Javid , Amirhossein Bagheri , Nuria González-Prelcic

Score-based diffusion models have emerged as effective approaches for both conditional and unconditional generation. Still conditional generation is based on either a specific training of a conditional model or classifier guidance, which…

Machine Learning · Computer Science 2024-12-25 Davide Scassola , Sebastiano Saccani , Ginevra Carbone , Luca Bortolussi

Incorporating external data can improve the efficiency of clinical trials, but distributional mismatches between current and external populations threaten the validity of inference. While numerous dynamic borrowing methods exist, the…

Methodology · Statistics 2026-02-26 Yui Kimura , Shu Tamano

Imputing missing node features in graphs is challenging, particularly under high missing rates. Existing methods based on latent representations or global diffusion often fail to produce reliable estimates, and may propagate errors across…

Machine Learning · Computer Science 2026-01-28 Xin Qiao , Shijie Sun , Anqi Dong , Cong Hua , Xia Zhao , Longfei Zhang , Guangming Zhu , Liang Zhang

Recent studies have explored autoregressive models for image generation, with promising results, and have combined diffusion models with autoregressive frameworks to optimize image generation via diffusion losses. In this study, we present…

Image and Video Processing · Electrical Eng. & Systems 2026-02-10 Yucheng Zhou , Hao Li , Jianbing Shen

Diffusion models are one of the most important families of deep generative models. In this note, we derive a quantitative upper bound on the Wasserstein distance between the data-generating distribution and the distribution learned by a…

Machine Learning · Computer Science 2024-09-17 Sokhna Diarra Mbacke , Omar Rivasplata

This paper proposes and analyzes a novel clustering algorithm that combines graph-based diffusion geometry with techniques based on density and mode estimation. The proposed method is suitable for data generated from mixtures of…

Machine Learning · Statistics 2019-01-01 Mauro Maggioni , James M. Murphy

We explore the methodology and theory of reward-directed generation via conditional diffusion models. Directed generation aims to generate samples with desired properties as measured by a reward function, which has broad applications in…

Machine Learning · Computer Science 2023-07-17 Hui Yuan , Kaixuan Huang , Chengzhuo Ni , Minshuo Chen , Mengdi Wang

Conditional independence (CI) testing is a fundamental task in modern statistics and machine learning. The conditional randomization test (CRT) was recently introduced to test whether two random variables, $X$ and $Y$, are conditionally…

Machine Learning · Statistics 2024-12-19 Yanfeng Yang , Shuai Li , Yingjie Zhang , Zhuoran Sun , Hai Shu , Ziqi Chen , Renming Zhang

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

Machine Learning · Computer Science 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang

We develop a data-driven information-theoretic framework for sharp partial identification of causal effects under unmeasured confounding. Existing approaches often rely on restrictive assumptions, such as bounded or discrete outcomes;…

Machine Learning · Statistics 2026-02-24 Yonghan Jung , Bogyeong Kang