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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

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 models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

Recent advances in generative modeling, namely Diffusion models, have revolutionized generative modeling, enabling high-quality image generation tailored to user needs. This paper proposes a framework for the generative design of structural…

Diffusion models demonstrate remarkable capabilities in capturing complex data distributions and have achieved compelling results in many generative tasks. While they have recently been extended to dense prediction tasks such as depth…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Haorui Ji , Taojun Lin , Hongdong Li

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

Machine Learning · Computer Science 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Deep generative models have garnered significant attention in low-level vision tasks due to their generative capabilities. Among them, diffusion model-based solutions, characterized by a forward diffusion process and a reverse denoising…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Chunming He , Yuqi Shen , Chengyu Fang , Fengyang Xiao , Longxiang Tang , Yulun Zhang , Wangmeng Zuo , Zhenhua Guo , Xiu Li

In this work we study how diffusion-based generative models produce high-dimensional data, such as an image, by implicitly relying on a manifestation of a low-dimensional set of latent abstractions, that guide the generative process. We…

Machine Learning · Computer Science 2024-10-07 Giulio Franzese , Mattia Martini , Giulio Corallo , Paolo Papotti , Pietro Michiardi

Existing approaches for analyzing neural network activations, such as PCA and sparse autoencoders, rely on strong structural assumptions. Generative models offer an alternative: they can uncover structure without such assumptions and act as…

Machine Learning · Computer Science 2026-02-09 Grace Luo , Jiahai Feng , Trevor Darrell , Alec Radford , Jacob Steinhardt

Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

Machine Learning · Statistics 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

As one of the most popular and sought-after generative models in the recent years, diffusion models have sparked the interests of many researchers and steadily shown excellent advantage in various generative tasks such as image synthesis,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Zhiyuan Ma , Yuzhu Zhang , Guoli Jia , Liangliang Zhao , Yichao Ma , Mingjie Ma , Gaofeng Liu , Kaiyan Zhang , Jianjun Li , Bowen Zhou

Diffusion Models are popular generative modeling methods in various vision tasks, attracting significant attention. They can be considered a unique instance of self-supervised learning methods due to their independence from label…

Computer Vision and Pattern Recognition · Computer Science 2025-01-19 Michael Fuest , Pingchuan Ma , Ming Gui , Johannes Schusterbauer , Vincent Tao Hu , Bjorn Ommer

Flow matching and diffusion bridge models have emerged as leading paradigms in generative speech enhancement, modeling stochastic processes between paired noisy and clean speech signals based on principles such as flow matching, score…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-23 Dahan Wang , Jun Gao , Tong Lei , Yuxiang Hu , Changbao Zhu , Kai Chen , Jing Lu

We introduce and study a class of probabilistic generative models, where the latent object is a finite-dimensional diffusion process on a finite time interval and the observed variable is drawn conditionally on the terminal point of the…

Probability · Mathematics 2019-06-03 Belinda Tzen , Maxim Raginsky

Diffusion-based generative modeling has been achieving state-of-the-art results on various generation tasks. Most diffusion models, however, are limited to a single-generation modeling. Can we generalize diffusion models with the ability of…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Changyou Chen , Han Ding , Bunyamin Sisman , Yi Xu , Ouye Xie , Benjamin Z. Yao , Son Dinh Tran , Belinda Zeng

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

Deep generative models have made rapid progress in image, text, audio, and video generation, and are increasingly being applied to structured records. For tabular data, however, generative modeling remains difficult: a dataset may contain…

Machine Learning · Computer Science 2026-05-25 Zhong Li , Qi Huang , Lincen Yang , Jiayang Shi , Zhao Yang , Niki van Stein , Thomas Bäck , Matthijs van Leeuwen

Diffusion models are powerful generative models that map noise to data using stochastic processes. However, for many applications such as image editing, the model input comes from a distribution that is not random noise. As such, diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Linqi Zhou , Aaron Lou , Samar Khanna , Stefano Ermon

Generative diffusion models showed high success in many fields with a powerful theoretical background. They convert the data distribution to noise and remove the noise back to obtain a similar distribution. Many existing reviews focused on…

Machine Learning · Computer Science 2024-09-19 Melike Nur Yeğin , Mehmet Fatih Amasyalı
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