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This paper aims to conduct a comprehensive theoretical analysis of current diffusion models. We introduce a novel generative learning methodology utilizing the Schr{\"o}dinger bridge diffusion model in latent space as the framework for…

Machine Learning · Statistics 2024-12-24 Yuling Jiao , Lican Kang , Huazhen Lin , Jin Liu , Heng Zuo

Diffusion and flow-based models have become the state of the art for generative AI across a wide range of data modalities, including images, videos, shapes, molecules, music, and more. This tutorial provides a self-contained introduction to…

Machine Learning · Computer Science 2026-03-19 Peter Holderrieth , Ezra Erives

Diffusion models, as a novel generative paradigm, have achieved remarkable success in various image generation tasks such as image inpainting, image-to-text translation, and video generation. Graph generation is a crucial computational task…

Machine Learning · Computer Science 2023-08-29 Chengyi Liu , Wenqi Fan , Yunqing Liu , Jiatong Li , Hang Li , Hui Liu , Jiliang Tang , Qing Li

Diffusion models, a specific type of generative model, have achieved unprecedented performance in recent years and consistently produce high-quality synthetic samples. A critical prerequisite for their notable success lies in the presence…

Machine Learning · Computer Science 2024-11-01 Yidong Ouyang , Liyan Xie , Hongyuan Zha , Guang Cheng

Score-based diffusion models generate samples from an unknown target distribution using a time-reversed diffusion process. While such models represent state-of-the-art approaches in industrial applications such as artificial image…

Machine Learning · Computer Science 2026-02-09 Adrian Baule

Being the most cutting-edge generative methods, diffusion methods have shown great advances in wide generation tasks. Among them, graph generation attracts significant research attention for its broad application in real life. In our…

Machine Learning · Computer Science 2024-07-17 Hongyang Chen , Can Xu , Lingyu Zheng , Qiang Zhang , Xuemin Lin

Generating high-resolution images with generative models has recently been made widely accessible by leveraging diffusion models pre-trained on large-scale datasets. Various techniques, such as MultiDiffusion and SyncDiffusion, have further…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Stanislav Frolov , Brian B. Moser , Andreas Dengel

Diffusion models have recently exhibited remarkable abilities to synthesize striking image samples since the introduction of denoising diffusion probabilistic models (DDPMs). Their key idea is to disrupt images into noise through a fixed…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Zijian Zhang , Zhou Zhao , Jun Yu , Qi Tian

Human trajectory data is crucial in urban planning, traffic engineering, and public health. However, directly using real-world trajectory data often faces challenges such as privacy concerns, data acquisition costs, and data quality. A…

Machine Learning · Computer Science 2025-11-05 Qingyue Long , Can Rong , Tong Li , Yong Li

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

Autoregressive neural networks within the temporal point process (TPP) framework have become the standard for modeling continuous-time event data. Even though these models can expressively capture event sequences in a one-step-ahead…

Machine Learning · Computer Science 2024-02-21 David Lüdke , Marin Biloš , Oleksandr Shchur , Marten Lienen , Stephan Günnemann

Sampling from unnormalized densities is analogous to the generative modeling problem, but the target distribution is defined by a known energy function instead of data samples. Because evaluating the energy function is often costly, a…

Machine Learning · Computer Science 2026-05-06 Aaron Havens , Brian Karrer , Neta Shaul

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

Machine Learning · Computer Science 2023-03-09 Florence Regol , Mark Coates

Deep generative models have emerged as promising tools for detecting arbitrary anomalies in data, dispensing with the necessity for manual labelling. Recently, autoregressive transformers have achieved state-of-the-art performance for…

In this paper we describe a novel framework for diffusion-based generative modeling on constrained spaces. In particular, we introduce manual bridges, a framework that expands the kinds of constraints that can be practically used to form…

Machine Learning · Computer Science 2025-02-28 Saeid Naderiparizi , Xiaoxuan Liang , Berend Zwartsenberg , Frank Wood

Diffusion Models generate data by reversing a stochastic diffusion process, progressively transforming noise into structured samples drawn from a target distribution. Recent theoretical work has shown that this backward dynamics can undergo…

Machine Learning · Computer Science 2026-02-05 Beatrice Achilli , Marco Benedetti , Giulio Biroli , Marc Mézard

We propose a novel approach based on Denoising Diffusion Probabilistic Models (DDPMs) to control nonlinear dynamical systems. DDPMs are the state-of-art of generative models that have achieved success in a wide variety of sampling tasks. In…

Optimization and Control · Mathematics 2024-02-06 Karthik Elamvazhuthi , Darshan Gadginmath , Fabio Pasqualetti

Long-range human movement generation remains a central challenge in computer vision and graphics. Generating coherent transitions across semantically distinct motion domains remains largely unexplored. This capability is particularly…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Haichao Wang , Alexander Okupnik , Yuxing Han , Gene Wen , Johannes Schneider , Kyriakos Flouris

Analytical diffusion models offer a mathematically transparent path to generative modeling by formulating the denoising score as an empirical-Bayes posterior mean. However, this interpretability comes at a prohibitive cost: the standard…

Machine Learning · Computer Science 2026-02-19 Xinyi Shang , Peng Sun , Jingyu Lin , Zhiqiang Shen

Diffusion models have shown promising generative capabilities across diverse domains, yet aligning their outputs with desired reward functions remains a challenge, particularly in cases where reward functions are non-differentiable. Some…

Machine Learning · Computer Science 2025-06-04 Xiner Li , Masatoshi Uehara , Xingyu Su , Gabriele Scalia , Tommaso Biancalani , Aviv Regev , Sergey Levine , Shuiwang Ji