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Diffusion models achieve strong performance in generative modeling, but their success often relies heavily on classifier-free guidance (CFG), an inference-time heuristic that modifies the sampling trajectory. In theory, diffusion models…

Machine Learning · Computer Science 2026-05-14 Xiang Li , Yixuan Jia , Xiao Li , Jeffrey A. Fessler , Rongrong Wang , Qing Qu

A crucial requirement for machine learning algorithms is not only to perform well, but also to show robustness and adaptability when encountering novel scenarios. One way to achieve these characteristics is to endow the deep learning models…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Eduardo Aguilar , Bogdan Raducanu , Petia Radeva

Although deep learning models have driven state-of-the-art performance on a wide array of tasks, they are prone to spurious correlations that should not be learned as predictive clues. To mitigate this problem, we propose a causality-based…

Machine Learning · Computer Science 2021-10-27 Xinyi Wang , Wenhu Chen , Michael Saxon , William Yang Wang

Denoising diffusion models (DDMs) have emerged as a powerful class of generative models. A forward diffusion process slowly perturbs the data, while a deep model learns to gradually denoise. Synthesis amounts to solving a differential…

Machine Learning · Statistics 2022-10-12 Tim Dockhorn , Arash Vahdat , Karsten Kreis

Despite the widespread adoption of deterministic samplers in diffusion models (DMs), their potential limitations remain largely unexplored. In this paper, we identify collapse errors, a previously unrecognized phenomenon in ODE-based…

Machine Learning · Computer Science 2025-08-25 Yi Zhang , Zhenyu Liao , Jingfeng Wu , Difan Zou

Generative Artificial Intelligence (GenAI) models, with their powerful feature learning capabilities, have been applied in many fields. In mobile wireless communications, GenAI can dynamically optimize the network to enhance the user…

Signal Processing · Electrical Eng. & Systems 2025-08-27 Changyuan Zhao , Jiacheng Wang , Ruichen Zhang , Dusit Niyato , Dong In Kim , Hongyang Du

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 survey continuous-time generative modeling methods based on transporting a simple reference distribution to a data distribution via stochastic or deterministic dynamics. We present a unified framework in which diffusion models,…

Machine Learning · Computer Science 2026-05-11 Aditya Ranganath , Mukesh Singhal

Score-based generative models (SGMs) have revolutionized the field of generative modeling, achieving unprecedented success in generating realistic and diverse content. Despite empirical advances, the theoretical basis for why optimizing the…

Machine Learning · Computer Science 2024-08-30 Gen Li , Yuling Yan

Out-of-distribution (OOD) detection is a rapidly growing field due to new robustness and security requirements driven by an increased number of AI-based systems. Existing OOD textual detectors often rely on an anomaly score (e.g.,…

Computation and Language · Computer Science 2024-02-22 Maxime Darrin , Guillaume Staerman , Eduardo Dadalto Câmara Gomes , Jackie CK Cheung , Pablo Piantanida , Pierre Colombo

As deep learning methods form a critical part in commercially important applications such as autonomous driving and medical diagnostics, it is important to reliably detect out-of-distribution (OOD) inputs while employing these algorithms.…

Machine Learning · Computer Science 2018-09-12 Apoorv Vyas , Nataraj Jammalamadaka , Xia Zhu , Dipankar Das , Bharat Kaul , Theodore L. Willke

It is essential for safety-critical applications of deep neural networks to determine when new inputs are significantly different from the training distribution. In this paper, we explore this out-of-distribution (OOD) detection problem for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Poulami Sinhamahapatra , Rajat Koner , Karsten Roscher , Stephan Günnemann

Score-based diffusion models have emerged as a powerful class of generative methods, achieving state-of-the-art performance across diverse domains. Despite their empirical success, the mathematical foundations of those models remain only…

Optimization and Control · Mathematics 2026-05-13 Kang Liu , Enrique Zuazua

Conditional diffusion models have achieved remarkable success in various generative tasks recently, but their training typically relies on large-scale datasets that inevitably contain imprecise information in conditional inputs. Such…

Machine Learning · Computer Science 2025-10-13 Dong-Dong Wu , Jiacheng Cui , Wei Wang , Zhiqiang Shen , Masashi Sugiyama

Out-of-distribution (OOD) detection is critical to ensuring the reliability of deep learning applications and has attracted significant attention in recent years. A rich body of literature has emerged to develop efficient score functions…

Machine Learning · Computer Science 2025-07-22 Yuhang Liu , Yuefei Wu , Bin Shi , Bo Dong

In recent years, large-scale pre-trained diffusion models have demonstrated their outstanding capabilities in image and video generation tasks. However, existing models tend to produce visual objects commonly found in the training dataset,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Changgu Chen , Libing Yang , Xiaoyan Yang , Lianggangxu Chen , Gaoqi He , CHangbo Wang , Yang Li

Recent works in multiple object tracking use sequence model to calculate the similarity score between the detections and the previous tracklets. However, the forced exposure to ground-truth in the training stage leads to the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Tao Hu , Lichao Huang , Han Shen

This is an expository article on the score-based diffusion models, with a particular focus on the formulation via stochastic differential equations (SDE). After a gentle introduction, we discuss the two pillars in the diffusion modeling --…

Machine Learning · Computer Science 2025-07-08 Wenpin Tang , Hanyang Zhao

Recently, diffusion model have demonstrated impressive image generation performances, and have been extensively studied in various computer vision tasks. Unfortunately, training and evaluating diffusion models consume a lot of time and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Dohoon Ryu , Jong Chul Ye

We give an improved theoretical analysis of score-based generative modeling. Under a score estimate with small $L^2$ error (averaged across timesteps), we provide efficient convergence guarantees for any data distribution with second-order…

Machine Learning · Computer Science 2023-02-03 Hongrui Chen , Holden Lee , Jianfeng Lu