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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

Out-of-distribution detection is crucial to the safe deployment of machine learning systems. Currently, unsupervised out-of-distribution detection is dominated by generative-based approaches that make use of estimates of the likelihood or…

Despite its practical significance, generating realistic synthetic financial time series is challenging due to statistical properties known as stylized facts, such as fat tails, volatility clustering, and seasonality patterns. Various…

Computational Finance · Quantitative Finance 2024-10-25 Tomonori Takahashi , Takayuki Mizuno

A diffusion probabilistic model (DPM), which constructs a forward diffusion process by gradually adding noise to data points and learns the reverse denoising process to generate new samples, has been shown to handle complex data…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Zhengxiong Luo , Dayou Chen , Yingya Zhang , Yan Huang , Liang Wang , Yujun Shen , Deli Zhao , Jingren Zhou , Tieniu Tan

This article provides a mathematically rigorous introduction to denoising diffusion probabilistic models (DDPMs), sometimes also referred to as diffusion probabilistic models or diffusion models, for generative artificial intelligence. We…

Machine Learning · Computer Science 2024-12-03 Davide Gallon , Arnulf Jentzen , Philippe von Wurstemberger

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

Denoising Diffusion Probabilistic Models (DDPMs) have achieved impressive performance on various generation tasks. By modeling the reverse process of gradually diffusing the data distribution into a Gaussian distribution, generating a…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Zhaoyang Lyu , Xudong XU , Ceyuan Yang , Dahua Lin , Bo Dai

Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

Probability · Mathematics 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

In this work, we propose an approach to generalize denoising diffusion probabilistic models for stock market predictions and portfolio management. Present works have demonstrated the efficacy of modeling interstock relations for market…

Machine Learning · Computer Science 2024-03-22 Divyanshu Daiya , Monika Yadav , Harshit Singh Rao

Generative models of graphs based on discrete Denoising Diffusion Probabilistic Models (DDPMs) offer a principled approach to molecular generation by systematically removing structural noise through iterative atom and bond adjustments.…

Machine Learning · Computer Science 2025-11-03 Matteo Ninniri , Marco Podda , Davide Bacciu

Denoising diffusion probabilistic models (DDPMs) represent an entirely new class of generative AI methods that have yet to be fully explored. They use Langevin dynamics, represented as stochastic differential equations, to describe a…

Machine Learning · Statistics 2025-10-21 Benjamin Sterling , Chad Gueli , Mónica F. Bugallo

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xuyi Yu

Denoising diffusion models have become ubiquitous for generative modeling. The core idea is to transport the data distribution to a Gaussian by using a diffusion. Approximate samples from the data distribution are then obtained by…

Diffusion Probabilistic Models (DPMs) are powerful generative models that have achieved unparalleled success in a number of generative tasks. In this work, we aim to build inductive biases into the training and sampling of diffusion models…

Machine Learning · Computer Science 2025-03-14 Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio , Luca Scimeca

Remote sensing change detection is crucial for understanding the dynamics of our planet's surface, facilitating the monitoring of environmental changes, evaluating human impact, predicting future trends, and supporting decision-making. In…

Computer Vision and Pattern Recognition · Computer Science 2024-01-15 Wele Gedara Chaminda Bandara , Nithin Gopalakrishnan Nair , Vishal M. Patel

Diffusion models are distinguished by their exceptional generative performance, particularly in producing high-quality samples through iterative denoising. While current theory suggests that the number of denoising steps required for…

Machine Learning · Computer Science 2025-04-08 Gen Li , Changxiao Cai , Yuting Wei

With the incredible results achieved from generative pre-trained transformers (GPT) and diffusion models, generative AI (GenAI) is envisioned to yield remarkable breakthroughs in various industrial and academic domains. In this paper, we…

Information Theory · Computer Science 2023-09-19 Mehdi Letafati , Samad Ali , Matti Latva-aho

Symmetric positive definite~(SPD) matrices have shown important value and applications in statistics and machine learning, such as FMRI analysis and traffic prediction. Previous works on SPD matrices mostly focus on discriminative models,…

Machine Learning · Computer Science 2023-12-14 Yunchen Li , Zhou Yu , Gaoqi He , Yunhang Shen , Ke Li , Xing Sun , Shaohui Lin

Programmable structures are systems whose undeformed geometries and material property distributions are deliberately designed to achieve prescribed deformed configurations under specific loading conditions. Inflatable structures are a…

Computational Engineering, Finance, and Science · Computer Science 2025-08-19 Sara Karimi , Nikolaos N. Vlassis

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang