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The gradual nature of a diffusion process that synthesizes samples in small increments constitutes a key ingredient of Denoising Diffusion Probabilistic Models (DDPM), which have presented unprecedented quality in image synthesis and been…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Zihan Zhang , Richard Liu , Kfir Aberman , Rana Hanocka

Exploring noise distributions beyond Gaussian in diffusion models remains an open challenge. While Gaussian-based models succeed within a unified SDE framework, recent studies suggest that heavy-tailed noise distributions, like…

Machine Learning · Computer Science 2025-06-18 Dario Shariatian , Umut Simsekli , Alain Durmus

Accurate prediction of mobile traffic, i.e., network traffic from cellular base stations, is crucial for optimizing network performance and supporting urban development. However, the non-stationary nature of mobile traffic, driven by human…

Machine Learning · Computer Science 2025-06-30 Zhi Sheng , Daisy Yuan , Jingtao Ding , Yong Li

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

Traffic flow forecasting is a crucial task in intelligent transport systems. Deep learning offers an effective solution, capturing complex patterns in time-series traffic flow data to enable the accurate prediction. However, deep learning…

Machine Learning · Computer Science 2024-11-07 Qiyuan Zhu , A. K. Qin , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

Diffusion and flow matching models have achieved remarkable success in text-to-image generation. However, these models typically rely on the predetermined denoising schedules for all prompts. The multi-step reverse diffusion process can be…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Zilyu Ye , Zhiyang Chen , Tiancheng Li , Zemin Huang , Weijian Luo , Guo-Jun Qi

Diffusion probabilistic models (DPMs), widely recognized for their potential to generate high-quality samples, tend to go unnoticed in representation learning. While recent progress has highlighted their potential for capturing visual…

Machine Learning · Computer Science 2025-05-09 Dingshuo Chen , Shuchen Xue , Liuji Chen , Yingheng Wang , Qiang Liu , Shu Wu , Zhi-Ming Ma , Liang Wang

Generating realistic motions for digital humans is time-consuming for many graphics applications. Data-driven motion synthesis approaches have seen solid progress in recent years through deep generative models. These results offer…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Edmund J. C. Findlay , Haozheng Zhang , Ziyi Chang , Hubert P. H. Shum

Deep neural networks have been extensively applied in the medical domain for various tasks, including image classification, segmentation, and landmark detection. However, their application is often hindered by data scarcity, both in terms…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Roberto Di Via , Francesca Odone , Vito Paolo Pastore

Network optimization is a fundamental challenge in the Internet of Things (IoT) network, often characterized by complex features that make it difficult to solve these problems. Recently, generative diffusion models (GDMs) have emerged as a…

Machine Learning · Computer Science 2025-02-20 Ruihuai Liang , Bo Yang , Pengyu Chen , Xianjin Li , Yifan Xue , Zhiwen Yu , Xuelin Cao , Yan Zhang , Mérouane Debbah , H. Vincent Poor , Chau Yuen

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

Diffusion models are the go-to method for Text-to-Image generation, but their iterative denoising processes has high inference latency. Quantization reduces compute time by using lower bitwidths, but applies a fixed precision across all…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Basile Lewandowski , Simon Kurz , Aditya Shankar , Robert Birke , Jian-Jia Chen , Lydia Y. Chen

Estimation of probability density function from samples is one of the central problems in statistics and machine learning. Modern neural network-based models can learn high dimensional distributions but have problems with hyperparameter…

Machine Learning · Computer Science 2022-02-28 Georgii S. Novikov , Maxim E. Panov , Ivan V. Oseledets

Denoising diffusion probabilistic models (DDPMs) are becoming the leading paradigm for generative models. It has recently shown breakthroughs in audio synthesis, time series imputation and forecasting. In this paper, we propose…

Machine Learning · Computer Science 2024-10-22 Xinyu Yuan , Yan Qiao

In data-driven drug discovery, designing molecular descriptors is a very important task. Deep generative models such as variational autoencoders (VAEs) offer a potential solution by designing descriptors as probabilistic latent vectors…

Machine Learning · Computer Science 2023-08-23 Daiki Koge , Naoaki Ono , Shigehiko Kanaya

We obtain asymptotically sharp error estimates for the consistency error of the Target Measure Diffusion map (TMDmap) (Banisch et al. 2020), a variant of diffusion maps featuring importance sampling and hence allowing input data drawn from…

Numerical Analysis · Mathematics 2023-12-25 Shashank Sule , Luke Evans , Maria Cameron

Variational autoencoder (VAE) and generative adversarial networks (GAN) have found widespread applications in clustering and have achieved significant success. However, the potential of these approaches may be limited due to VAE's mediocre…

Machine Learning · Computer Science 2023-12-14 Jie Yan , Jing Liu , Zhong-yuan Zhang

Denoising Diffusion Probabilistic Models (DDPMs) have garnered popularity for data generation across various domains. However, a significant bottleneck is the necessity for whole-network computation during every step of the generative…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Shuai Yang , Yukang Chen , Luozhou Wang , Shu Liu , Yingcong Chen

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

Denoising diffusion probabilistic models (DDPMs) are a class of powerful generative models. The past few years have witnessed the great success of DDPMs in generating high-fidelity samples. A significant limitation of the DDPMs is the slow…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Yansong Gao , Zhihong Pan , Xin Zhou , Le Kang , Pratik Chaudhari