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Related papers: Measurement Score-Based Diffusion Model

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The recent, impressive advances in algorithmic generation of high-fidelity image, audio, and video are largely due to great successes in score-based diffusion models. A key implementing step is score matching, that is, the estimation of the…

Machine Learning · Statistics 2024-09-12 Zehao Dou , Subhodh Kotekal , Zhehao Xu , Harrison H. Zhou

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

Despite the remarkable empirical success of score-based diffusion models, their statistical guarantees remain underdeveloped. Existing analyses often provide pessimistic convergence rates that do not reflect the intrinsic low-dimensional…

Machine Learning · Statistics 2026-04-24 Saptarshi Chakraborty , Quentin Berthet , Peter L. Bartlett

Score Distillation Sampling (SDS) is a recent but already widely popular method that relies on an image diffusion model to control optimization problems using text prompts. In this paper, we conduct an in-depth analysis of the SDS loss…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Thiemo Alldieck , Nikos Kolotouros , Cristian Sminchisescu

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Score-based diffusion models have emerged as one of the most promising frameworks for deep generative modelling. In this work we conduct a systematic comparison and theoretical analysis of different approaches to learning conditional…

Machine Learning · Computer Science 2021-11-29 Georgios Batzolis , Jan Stanczuk , Carola-Bibiane Schönlieb , Christian Etmann

Recent advances in denoising diffusion probabilistic models have shown great success in image synthesis tasks. While there are already works exploring the potential of this powerful tool in image semantic segmentation, its application in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xinrong Hu , Yu-Jen Chen , Tsung-Yi Ho , Yiyu Shi

Score-based generative modeling (SGM) has grown to be a hugely successful method for learning to generate samples from complex data distributions such as that of images and audio. It is based on evolving an SDE that transforms white noise…

Machine Learning · Computer Science 2022-10-04 Holden Lee , Jianfeng Lu , Yixin Tan

Diffusion models (DMs) have rapidly emerged as a powerful framework for image generation and restoration. However, existing DMs are primarily trained in a supervised manner by using a large corpus of clean images. This reliance on clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-15 Brett Levac , Jon Tamir , Marcelo Pereyra , Julian Tachella

In the field of inverse estimation for systems modeled by partial differential equations (PDEs), challenges arise when estimating high- (or even infinite-) dimensional parameters. Typically, the ill-posed nature of such problems…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Yankun Hong , Harshit Bansal , Karen Veroy

Diffusion-based image super-resolution (SR) methods have demonstrated remarkable performance. Recent advancements have introduced deterministic sampling processes that reduce inference from 15 iterative steps to a single step, thereby…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Zihang Liu , Zhenyu Zhang , Hao Tang

This work introduces a sampling method capable of solving Bayesian inverse problems in function space. It does not assume the log-concavity of the likelihood, meaning that it is compatible with nonlinear inverse problems. The method…

Machine Learning · Statistics 2024-05-27 Lorenzo Baldassari , Ali Siahkoohi , Josselin Garnier , Knut Solna , Maarten V. de Hoop

Score-based diffusion models generate new samples by learning the score function associated with a diffusion process. While the effectiveness of these models can be theoretically explained using differential equations related to the…

Machine Learning · Computer Science 2026-01-21 Doheon Kim

Diffusion models generate samples by estimating the score function of the target distribution at various noise levels. The model is trained using samples drawn from the target distribution by progressively adding noise. Previous sample…

Machine Learning · Computer Science 2025-10-28 Syamantak Kumar , Dheeraj Nagaraj , Purnamrita Sarkar

In applications of diffusion models, controllable generation is of practical significance, but is also challenging. Current methods for controllable generation primarily focus on modifying the score function of diffusion models, while Mean…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Ao Li , Wei Fang , Hongbo Zhao , Le Lu , Ge Yang , Minfeng Xu

Diffusion models excel in content generation by implicitly learning the data manifold, yet they lack a practical method to leverage this manifold - unlike other deep generative models equipped with latent spaces. This paper introduces a…

Computer Vision and Pattern Recognition · Computer Science 2025-04-30 Shinnosuke Saito , Takashi Matsubara

Diffusion models have recently been shown to excel in many image reconstruction tasks that involve inverse problems based on a forward measurement operator. A common framework uses task-agnostic unconditional models that are later…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Alper Güngör , Bahri Batuhan Bilecen , Tolga Çukur

Diffusion models can be parameterized in terms of either score or energy function. The energy parameterization is attractive as it enables sampling procedures such as Markov Chain Monte Carlo (MCMC) that incorporates a Metropolis--Hastings…

Machine Learning · Statistics 2026-04-02 Anders Sjöberg , Jakob Lindqvist , Magnus Önnheim , Mats Jirstrand , Lennart Svensson

Since their initial introduction, score-based diffusion models (SDMs) have been successfully applied to solve a variety of linear inverse problems in finite-dimensional vector spaces due to their ability to efficiently approximate the…

Machine Learning · Statistics 2023-10-31 Lorenzo Baldassari , Ali Siahkoohi , Josselin Garnier , Knut Solna , Maarten V. de Hoop

We consider the general problem of recovering a high-dimensional signal from noisy quantized measurements. Quantization, especially coarse quantization such as 1-bit sign measurements, leads to severe information loss and thus a good prior…

Signal Processing · Electrical Eng. & Systems 2023-02-21 Xiangming Meng , Yoshiyuki Kabashima