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相关论文: Variational Bayesian Imaging with an Efficient Sur…

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Modeling statistics of image priors is useful for image super-resolution, but little attention has been paid from the massive works of deep learning-based methods. In this work, we propose a Bayesian image restoration framework, where…

图像与视频处理 · 电气工程与系统科学 2022-04-05 Shangqi Gao , Xiahai Zhuang

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

机器学习 · 计算机科学 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

We investigate the effectiveness of a simple solution to the common problem of deep learning in medical image analysis with limited quantities of labeled training data. The underlying idea is to assign artificial labels to abundantly…

计算机视觉与模式识别 · 计算机科学 2019-01-28 Nima Tajbakhsh , Yufei Hu , Junli Cao , Xingjian Yan , Yi Xiao , Yong Lu , Jianming Liang , Demetri Terzopoulos , Xiaowei Ding

In recent years, the ascendance of diffusion modeling as a state-of-the-art generative modeling approach has spurred significant interest in their use as priors in Bayesian inverse problems. However, it is unclear how to optimally integrate…

最优化与控制 · 数学 2025-08-28 Evan Scope Crafts , Umberto Villa

We propose a method to restore and to segment simultaneously images degraded by a known point spread function (PSF) and additive white noise. For this purpose, we propose a joint Bayesian estimation framework, where a family of…

数据分析、统计与概率 · 物理学 2015-05-13 Hacheme Ayasso , Ali Mohammad-Djafari

Diffusion models, as a kind of powerful generative model, have given impressive results on image super-resolution (SR) tasks. However, due to the randomness introduced in the reverse process of diffusion models, the performances of…

图像与视频处理 · 电气工程与系统科学 2024-04-02 Yiyang Ma , Huan Yang , Wenhan Yang , Jianlong Fu , Jiaying Liu

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

机器学习 · 计算机科学 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

Amortized simulator-based inference offers a powerful framework for tackling Bayesian inference in computational fields such as engineering or neuroscience, increasingly leveraging modern generative methods like diffusion models to map…

Sampling from the posterior is a key technical problem in Bayesian statistics. Rigorous guarantees are difficult to obtain for Markov Chain Monte Carlo algorithms of common use. In this paper, we study an alternative class of algorithms…

统计理论 · 数学 2024-08-26 Andrea Montanari , Yuchen Wu

Objective: Deep learning-based deformable image registration has achieved strong accuracy, but remains sensitive to variations in input image characteristics such as artifacts, field-of-view mismatch, or modality difference. We aim to…

计算机视觉与模式识别 · 计算机科学 2025-09-15 Yihao Liu , Junyu Chen , Lianrui Zuo , Shuwen Wei , Brian D. Boyd , Carmen Andreescu , Olusola Ajilore , Warren D. Taylor , Aaron Carass , Bennett A. Landman

This work considers sequential edge-promoting Bayesian experimental design for (discretized) linear inverse problems, exemplified by X-ray tomography. The process of computing a total variation type reconstruction of the absorption inside…

统计方法学 · 统计学 2021-04-02 Tapio Helin , Nuutti Hyvönen , Juha-Pekka Puska

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…

机器学习 · 统计学 2023-10-31 Lorenzo Baldassari , Ali Siahkoohi , Josselin Garnier , Knut Solna , Maarten V. de Hoop

Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

机器学习 · 计算机科学 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

Estimating long-term causal effects based on short-term surrogates is a significant but challenging problem in many real-world applications, e.g., marketing and medicine. Despite its success in certain domains, most existing methods…

机器学习 · 计算机科学 2023-11-22 Ruichu Cai , Weilin Chen , Zeqin Yang , Shu Wan , Chen Zheng , Xiaoqing Yang , Jiecheng Guo

The inverse temperature parameter of the Potts model governs the strength of spatial cohesion and therefore has a major influence over the resulting model fit. A difficulty arises from the dependence of an intractable normalising constant…

统计计算 · 统计学 2018-08-20 Matthew T. Moores , Geoff K. Nicholls , Anthony N. Pettitt , Kerrie Mengersen

Score-based diffusion models demonstrate superior performance in generative tasks but encounter fundamental bottlenecks in inverse problems due to the analytical intractability of the time-dependent likelihood score. To bridge this gap, we…

最优化与控制 · 数学 2026-05-28 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

Modern approaches for simulation-based inference rely upon deep learning surrogates to enable approximate inference with computer simulators. In practice, the estimated posteriors' computational faithfulness is, however, rarely guaranteed.…

机器学习 · 统计学 2022-08-30 Arnaud Delaunoy , Joeri Hermans , François Rozet , Antoine Wehenkel , Gilles Louppe

Denoising diffusion models have driven significant progress in the field of Bayesian inverse problems. Recent approaches use pre-trained diffusion models as priors to solve a wide range of such problems, only leveraging inference-time…

机器学习 · 统计学 2025-02-06 Yazid Janati , Badr Moufad , Mehdi Abou El Qassime , Alain Durmus , Eric Moulines , Jimmy Olsson

Diffusion models have been demonstrated as powerful deep learning tools for image generation in CT reconstruction and restoration. Recently, diffusion posterior sampling, where a score-based diffusion prior is combined with a likelihood…

医学物理 · 物理学 2024-09-02 Shudong Li , Xiao Jiang , Matthew Tivnan , Grace J. Gang , Yuan Shen , J. Webster Stayman

Diffuse optical tomography (DOT) is a severely ill-posed nonlinear inverse problem that seeks to estimate optical parameters from boundary measurements. In the Bayesian framework, the ill-posedness is diminished by incorporating {\em a…

数值分析 · 数学 2023-12-06 Anssi Manninen , Meghdoot Mozumder , Tanja Tarvainen , Andreas Hauptmann