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Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

Machine Learning · Computer Science 2026-05-29 Jiayi Fu , Yuxia Wang

An image pattern can be represented by a probability distribution whose density is concentrated on different low-dimensional subspaces in the high-dimensional image space. Such probability densities have an astronomical number of local…

Machine Learning · Statistics 2018-03-06 Mitch Hill , Erik Nijkamp , Song-Chun Zhu

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

Generative models have recently revolutionized image generation tasks across diverse domains, including galaxy image synthesis. This study investigates the statistical learning and consistency of three generative models: light-weight-gan (a…

Instrumentation and Methods for Astrophysics · Physics 2025-05-13 Jean-Eric Campagne

Recent advancements in video generation have demonstrated the potential of using video diffusion models as world models, with autoregressive generation of infinitely long videos through masked conditioning. However, such models, usually…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Taiye Chen , Zihan Ding , Anjian Li , Christina Zhang , Zeqi Xiao , Yisen Wang , Chi Jin

Latent diffusion models (LDMs) power state-of-the-art high-resolution generative image models. LDMs learn the data distribution in the latent space of an autoencoder (AE) and produce images by mapping the generated latents into RGB image…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Tariq Berrada , Pietro Astolfi , Melissa Hall , Marton Havasi , Yohann Benchetrit , Adriana Romero-Soriano , Karteek Alahari , Michal Drozdzal , Jakob Verbeek

Diffusion models have emerged as a powerful framework for generative tasks in deep learning. They decompose generative modeling into two computational primitives: deterministic neural-network evaluation and stochastic sampling. Current…

Machine Learning · Computer Science 2026-03-31 Nihal Sanjay Singh , Mazdak Mohseni-Rajaee , Shaila Niazi , Kerem Y. Camsari

Despite explosive expansion of artificial intelligence based on artificial neural networks (ANNs), these are employed as "black boxes'', as it is unclear how, during learning, they form memories or develop unwanted features, including…

Dynamical Systems · Mathematics 2026-02-17 Adam E. Essex , Natalia B. Janson , Rachel A. Norris , Alexander G. Balanov

Diffusion Probabilistic Models (DPMs) are generative models showing competitive performance in various domains, including image synthesis and 3D point cloud generation. Sampling from pre-trained DPMs involves multiple neural function…

Machine Learning · Computer Science 2025-05-21 Vinh Tong , Hoang Trung-Dung , Anji Liu , Guy Van den Broeck , Mathias Niepert

Face recognition models are trained on large-scale datasets, which have privacy and ethical concerns. Lately, the use of synthetic data to complement or replace genuine data for the training of face recognition models has been proposed.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 David Geissbühler , Hatef Otroshi Shahreza , Sébastien Marcel

In this work, we investigate the domain generalization capabilities of diffusion models in the context of synthesizing images that are distinct from the training data. Instead of fine-tuning, we tackle this challenge from a sampling-based…

Machine Learning · Computer Science 2025-12-01 Ye Zhu , Yu Wu , Duo Xu , Zhiwei Deng , Yan Yan , Olga Russakovsky

Diffusion policies generate robot motions by learning to denoise action-space trajectories conditioned on observations. These observations are commonly streams of RGB images, whose high dimensionality includes substantial task-irrelevant…

Robotics · Computer Science 2025-09-18 Xiatao Sun , Yinxing Chen , Daniel Rakita

Deep generative models have emerged as a transformative tool in medical imaging, offering substantial potential for synthetic data generation. However, recent empirical studies highlight a critical vulnerability: these models can memorize…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Antonio Scardace , Lemuel Puglisi , Francesco Guarnera , Sebastiano Battiato , Daniele Ravì

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

Denoising Diffusion Probabilistic Models (DDPM) are powerful state-of-the-art methods used to generate synthetic data from high-dimensional data distributions and are widely used for image, audio, and video generation as well as many more…

Machine Learning · Statistics 2025-04-25 Iskander Azangulov , George Deligiannidis , Judith Rousseau

Generative artificial intelligence (AI) refers to algorithms that create synthetic but realistic output. Diffusion models currently offer state of the art performance in generative AI for images. They also form a key component in more…

Machine Learning · Computer Science 2023-12-27 Catherine F. Higham , Desmond J. Higham , Peter Grindrod

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

Denoising Diffusion Probabilistic Models (DDPM) process images as a whole. Since adjacent pixels are highly likely to belong to the same object, we propose the Heat Diffusion Model (HDM) to further preserve image details and generate more…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Pengfei Zhang , Shouqing Jia

Understanding the structure of real data is paramount in advancing modern deep-learning methodologies. Natural data such as images are believed to be composed of features organized in a hierarchical and combinatorial manner, which neural…

Machine Learning · Statistics 2024-12-25 Antonio Sclocchi , Alessandro Favero , Matthieu Wyart

We propose a new class of generative models that naturally handle data of varying dimensionality by jointly modeling the state and dimension of each datapoint. The generative process is formulated as a jump diffusion process that makes…