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By learning the gradient of smoothed data distributions, diffusion models can iteratively generate samples from complex distributions. The learned score function enables their generalization capabilities, but how the learned score relates…

Machine Learning · Computer Science 2024-12-16 Binxu Wang , John J. Vastola

Speech enhancement is a critical component of many user-oriented audio applications, yet current systems still suffer from distorted and unnatural outputs. While generative models have shown strong potential in speech synthesis, they are…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-11 Yen-Ju Lu , Zhong-Qiu Wang , Shinji Watanabe , Alexander Richard , Cheng Yu , Yu Tsao

Diffusion models have found great success in generating high quality, natural samples of speech, but their potential for density estimation for speech has so far remained largely unexplored. In this work, we leverage an unconditional…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-16 Danilo de Oliveira , Julius Richter , Jean-Marie Lemercier , Simon Welker , Timo Gerkmann

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

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 have emerged as the de facto choice for generating high-quality visual signals across various domains. However, training a single model to predict noise across various levels poses significant challenges, necessitating…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Tiankai Hang , Shuyang Gu , Xin Geng , Baining Guo

Generative models realized with machine learning techniques are powerful tools to infer complex and unknown data distributions from a finite number of training samples in order to produce new synthetic data. Diffusion models are an emerging…

Quantum Physics · Physics 2024-07-18 Marco Parigi , Stefano Martina , Filippo Caruso

Diffusion models have emerged as powerful tools for generative tasks, producing high-quality outputs across diverse domains. However, how the generated data responds to the initial noise perturbation in diffusion models remains…

Machine Learning · Computer Science 2025-02-10 Bowen Song , Zecheng Zhang , Zhaoxu Luo , Jason Hu , Wei Yuan , Jing Jia , Zhengxu Tang , Guanyang Wang , Liyue Shen

Most existing theoretical investigations of the accuracy of diffusion models, albeit significant, assume the score function has been approximated to a certain accuracy, and then use this a priori bound to control the error of generation.…

Machine Learning · Computer Science 2024-10-29 Yuqing Wang , Ye He , Molei Tao

Pretrained diffusion models have demonstrated strong capabilities in zero-shot inverse problem solving by incorporating observation information into the generation process of the diffusion models. However, this presents an inherent dilemma:…

Machine Learning · Computer Science 2026-05-05 Xun Su , Hiroyuki Kasai

Diffusion-based generative models have demonstrated a capacity for perceptually impressive synthesis, but can they also be great likelihood-based models? We answer this in the affirmative, and introduce a family of diffusion-based…

Machine Learning · Computer Science 2023-04-17 Diederik P. Kingma , Tim Salimans , Ben Poole , Jonathan Ho

Text-to-image diffusion model is a popular paradigm that synthesizes personalized images by providing a text prompt and a random Gaussian noise. While people observe that some noises are ``golden noises'' that can achieve better text-image…

Machine Learning · Computer Science 2025-07-18 Zikai Zhou , Shitong Shao , Lichen Bai , Shufei Zhang , Zhiqiang Xu , Bo Han , Zeke Xie

Most of the existing diffusion models use Gaussian noise for training and sampling across all time steps, which may not optimally account for the frequency contents reconstructed by the denoising network. Despite the diverse applications of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Xingchang Huang , Corentin Salaün , Cristina Vasconcelos , Christian Theobalt , Cengiz Öztireli , Gurprit Singh

Diffusion models generate samples by incrementally reversing a process that turns data into noise. We show that when the step size goes to zero, the reversed process is invariant to the distribution of these increments. This reveals a…

Machine Learning · Computer Science 2024-12-12 Henry Li

We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

Machine Learning · Computer Science 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

Single-view novel view synthesis (NVS) models based on diffusion models have recently attracted increasing attention, as they can generate a series of novel view images from a single image prompt and camera pose information as conditions.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Zhihao Zhang , Xuejun Yang , Weihua Liu , Mouquan Shen

Recent diffusion models have achieved promising performances in audio-denoising tasks. The unique property of the reverse process could recover clean signals. However, the distribution of real-world noises does not comply with a single…

Sound · Computer Science 2024-06-14 Pu Wang , Junhui Li , Jialu Li , Liangdong Guo , Youshan Zhang

Diffusion models are a class of generative models that learn to synthesize samples by inverting a diffusion process that gradually maps data into noise. While these models have enjoyed great success recently, a full theoretical…

Machine Learning · Computer Science 2023-09-22 Raja Marjieh , Ilia Sucholutsky , Thomas A. Langlois , Nori Jacoby , Thomas L. Griffiths

In this work, we investigate an intriguing and prevalent phenomenon of diffusion models which we term as "consistent model reproducibility": given the same starting noise input and a deterministic sampler, different diffusion models often…

Machine Learning · Computer Science 2024-06-11 Huijie Zhang , Jinfan Zhou , Yifu Lu , Minzhe Guo , Peng Wang , Liyue Shen , Qing Qu

In this paper, we propose a diffusion probabilistic model for handwriting generation. Diffusion models are a class of generative models where samples start from Gaussian noise and are gradually denoised to produce output. Our method of…

Machine Learning · Computer Science 2020-11-16 Troy Luhman , Eric Luhman