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We introduce a new family of physics-inspired generative models termed PFGM++ that unifies diffusion models and Poisson Flow Generative Models (PFGM). These models realize generative trajectories for $N$ dimensional data by embedding paths…

Machine Learning · Computer Science 2023-02-13 Yilun Xu , Ziming Liu , Yonglong Tian , Shangyuan Tong , Max Tegmark , Tommi Jaakkola

Since diffusion models (DM) and the more recent Poisson flow generative models (PFGM) are inspired by physical processes, it is reasonable to ask: Can physical processes offer additional new generative models? We show that the answer is…

Machine Learning · Computer Science 2023-04-06 Ziming Liu , Di Luo , Yilun Xu , Tommi Jaakkola , Max Tegmark

The diffusion model has recently emerged as a potent approach in computer vision, demonstrating remarkable performances in the field of generative artificial intelligence. Capable of producing high-quality synthetic images, diffusion models…

Image and Video Processing · Electrical Eng. & Systems 2025-05-14 Abdullah , Tao Huang , Ickjai Lee , Euijoon Ahn

Diffusion Generative Models (DGM) have rapidly surfaced as emerging topics in the field of computer vision, garnering significant interest across a wide array of deep learning applications. Despite their high computational demand, these…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Denisha Thakkar , Vincent Quoc-Huy Trinh , Sonal Varma , Samira Ebrahimi Kahou , Hassan Rivaz , Mahdi S. Hosseini

Quantum Diffusion Models (QDMs) are an emerging paradigm in Generative AI that aims to use quantum properties to improve the performances of their classical counterparts. However, existing algorithms are not easily scalable due to the…

Quantum Physics · Physics 2025-05-29 Marco Parigi , Stefano Martina , Francesco Aldo Venturelli , Filippo Caruso

Generative AI models have revolutionized various fields by enabling the creation of realistic and diverse data samples. Among these models, diffusion models have emerged as a powerful approach for generating high-quality images, text, and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Gaurav Raut , Apoorv Singh

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

Generative AI presents chemists with novel ideas for drug design and facilitates the exploration of vast chemical spaces. Diffusion models (DMs), an emerging tool, have recently attracted great attention in drug R\&D. This paper…

Biomolecules · Quantitative Biology 2025-07-14 Peining Zhang , Daniel Baker , Minghu Song , Jinbo Bi

Diffusion models (DMs) are a type of generative model that has a huge impact on image synthesis and beyond. They achieve state-of-the-art generation results in various generative tasks. A great diversity of conditioning inputs, such as text…

Machine Learning · Computer Science 2024-02-02 Weiguo Lu , Xuan Wu , Deng Ding , Jinqiao Duan , Jirong Zhuang , Gangnan Yuan

Deep generative modeling has emerged as a powerful tool for synthesizing realistic medical images, driving advances in medical image analysis, disease diagnosis, and treatment planning. This chapter explores various deep generative models…

Image and Video Processing · Electrical Eng. & Systems 2024-10-24 Paul Friedrich , Yannik Frisch , Philippe C. Cattin

Diffusion models generate data by learning to reverse a forward process, where samples are progressively perturbed with Gaussian noise according to a predefined noise schedule. From a geometric perspective, each noise schedule corresponds…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Teng Zhang , Hongxu Jiang , Kuang Gong , Wei Shao

This report presents the comprehensive implementation, evaluation, and optimization of Denoising Diffusion Probabilistic Models (DDPMs) and Denoising Diffusion Implicit Models (DDIMs), which are state-of-the-art generative models. During…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Jaineet Shah , Michael Gromis , Rickston Pinto

Diffusion models have emerged as a popular family of deep generative models (DGMs). In the literature, it has been claimed that one class of diffusion models -- denoising diffusion probabilistic models (DDPMs) -- demonstrate superior image…

Image and Video Processing · Electrical Eng. & Systems 2023-09-20 Rucha Deshpande , Muzaffer Özbey , Hua Li , Mark A. Anastasio , Frank J. Brooks

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

This paper introduces posterior mean matching (PMM), a new method for generative modeling that is grounded in Bayesian inference. PMM uses conjugate pairs of distributions to model complex data of various modalities like images and text,…

Machine Learning · Computer Science 2024-12-23 Sebastian Salazar , Michal Kucer , Yixin Wang , Emily Casleton , David Blei

Conditional medical image generation plays an important role in many clinically relevant imaging tasks. However, existing methods still face a fundamental challenge in balancing inference efficiency, patient-specific fidelity, and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Zirong Li , Siyuan Mei , Weiwen Wu , Andreas Maier , Lina Gölz , Yan Xia

Denoising diffusion models, a class of generative models, have garnered immense interest lately in various deep-learning problems. A diffusion probabilistic model defines a forward diffusion stage where the input data is gradually perturbed…

Image and Video Processing · Electrical Eng. & Systems 2023-06-06 Amirhossein Kazerouni , Ehsan Khodapanah Aghdam , Moein Heidari , Reza Azad , Mohsen Fayyaz , Ilker Hacihaliloglu , Dorit Merhof

Diffusion probabilistic models (DPMs) which employ explicit likelihood characterization and a gradual sampling process to synthesize data, have gained increasing research interest. Despite their huge computational burdens due to the large…

Computer Vision and Pattern Recognition · Computer Science 2024-05-09 Yuheng Fan , Hanxi Liao , Shiqi Huang , Yimin Luo , Huazhu Fu , Haikun Qi

Diffusion-based Deep Generative Models (DDGMs) offer state-of-the-art performance in generative modeling. Their main strength comes from their unique setup in which a model (the backward diffusion process) is trained to reverse the forward…

Machine Learning · Computer Science 2022-06-02 Kamil Deja , Anna Kuzina , Tomasz Trzciński , Jakub M. Tomczak

In medical imaging, the diffusion models have shown great potential for synthetic image generation tasks. However, these approaches often lack the interpretable connections between the generated and real images and can create anatomically…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Jian-Qing Zheng , Yuanhan Mo , Yang Sun , Jiahua Li , Fuping Wu , Ziyang Wang , Tonia Vincent , Bartłomiej W. Papież
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