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Related papers: Beyond Scores: Proximal Diffusion Models

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Diffusion models have recently achieved remarkable performance in image super-resolution (SR), but their high computational cost limits practical deployment in remote sensing applications. To address this issue, we propose SlimDiffSR, a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Ce Wang , Zhenyu Hu , Wanjie Sun

Designing biological sequences is an important challenge that requires satisfying complex constraints and thus is a natural problem to address with deep generative modeling. Diffusion generative models have achieved considerable success in…

Machine Learning · Computer Science 2023-06-19 Pavel Avdeyev , Chenlai Shi , Yuhao Tan , Kseniia Dudnyk , Jian Zhou

Score diffusion methods can learn probability densities from samples. The score of the noise-corrupted density is estimated using a deep neural network, which is then used to iteratively transport a Gaussian white noise density to a target…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Zahra Kadkhodaie , Stéphane Mallat , Eero P. Simoncelli

Sampling from a distribution $p(x) \propto e^{-\mathcal{E}(x)}$ known up to a normalising constant is an important and challenging problem in statistics. Recent years have seen the rise of a new family of amortised sampling algorithms,…

Machine Learning · Computer Science 2026-05-29 Arran Carter , Sanghyeok Choi , Kirill Tamogashev , Víctor Elvira , Esmeralda S. Whitammer

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Diffusion-based generative models (DGMs) have recently attracted attention in speech enhancement research (SE) as previous works showed a remarkable generalization capability. However, DGMs are also computationally intensive, as they…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-21 Chenda Li , Samuele Cornell , Shinji Watanabe , Yanmin Qian

Generative models can be categorized into two types: explicit generative models that define explicit density forms and allow exact likelihood inference, such as score-based diffusion models (SDMs) and normalizing flows; implicit generative…

Machine Learning · Statistics 2023-07-06 Jingwei Zhang , Han Shi , Jincheng Yu , Enze Xie , Zhenguo Li

We study a discrete denoising diffusion framework that integrates a sample-efficient estimator of single-site conditionals with round-robin noising and denoising dynamics for generative modeling over discrete state spaces. Rather than…

Machine Learning · Computer Science 2026-03-02 Karthik Elamvazhuthi , Abhijith Jayakumar , Andrey Y. Lokhov

Score-based diffusion models have demonstrated remarkable empirical success in learning high-dimensional distributions, particularly those exhibiting low-dimensional and multi-modal structures. However, theoretical understanding of their…

Machine Learning · Statistics 2026-05-29 Jingda Wu , Changxiao Cai

Sampling based on score diffusions has led to striking empirical results, and has attracted considerable attention from various research communities. It depends on availability of (approximate) Stein score functions for various levels of…

Statistics Theory · Mathematics 2026-01-01 M. J. Wainwright

Diffusion models (DMs) have recently emerged as SoTA tools for generative modeling in various domains. Standard DMs can be viewed as an instantiation of hierarchical variational autoencoders (VAEs) where the latent variables are inferred…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Jiatao Gu , Shuangfei Zhai , Yizhe Zhang , Miguel Angel Bautista , Josh Susskind

While score-based generative models (SGMs) have achieved remarkable success in enormous image generation tasks, their mathematical foundations are still limited. In this paper, we analyze the approximation and generalization of SGMs in…

Machine Learning · Statistics 2024-02-26 Frank Cole , Yulong Lu

Diffusion models have demonstrated remarkable performance in generating high-dimensional samples across domains such as vision, language, and the sciences. Although continuous-state diffusion models have been extensively studied both…

Machine Learning · Computer Science 2026-02-17 Aadithya Srikanth , Mudit Gaur , Vaneet Aggarwal

Discrete diffusion models are increasingly competitive for language modeling, yet it remains unclear how their denoising objectives organize learning. Although these objectives target the full data distribution, we show that the exact…

Machine Learning · Computer Science 2026-05-15 Adrian Müller , Antoine Gonon , Zebang Shen , Ya-Ping Hsieh , Niao He

In Score based Generative Modeling (SGMs), the state-of-the-art in generative modeling, stochastic reverse processes are known to perform better than their deterministic counterparts. This paper delves into the heart of this phenomenon,…

Machine Learning · Computer Science 2023-12-15 Karthik Elamvazhuthi , Samet Oymak , Fabio Pasqualetti

Denoising diffusion models are a class of generative models which have recently achieved state-of-the-art results across many domains. Gradual noise is added to the data using a diffusion process, which transforms the data distribution into…

Machine Learning · Statistics 2024-06-28 Francisco Vargas , Teodora Reu , Anna Kerekes , Michael M Bronstein

Diffusion models generate high-dimensional data with remarkable quality, yet how their training efficiently learns the score function, bypassing the curse of dimensionality when data is supported on low-dimensional manifolds, remains…

Machine Learning · Computer Science 2026-05-21 Wei Huang , Andi Han , Mingyuan Bai , Huanjian Zhou , Qixin Zhang , Taiji Suzuki , Kenji Fukumizu

Diffusion models generate samples by iteratively querying learned score estimates. A rapidly growing literature focuses on accelerating sampling by minimizing the number of score evaluations, yet the information-theoretic limits of such…

Machine Learning · Computer Science 2026-04-14 Zhiyang Xun , Eric Price

Diffusion models have gained prominence in generating high-quality sequences of text. Nevertheless, current approaches predominantly represent discrete text within a continuous diffusion space, which incurs substantial computational…

Machine Learning · Computer Science 2023-10-17 Shansan Gong , Mukai Li , Jiangtao Feng , Zhiyong Wu , Lingpeng Kong

In this paper, a signal detection method based on the denoise diffusion model (DM) is proposed, which outperforms the maximum likelihood (ML) estimation method that has long been regarded as the optimal signal detection technique.…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Xiucheng Wang , Peilin Zheng , Nan Cheng