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Diffusion Posterior Sampling(DPS) methodology is a novel framework that permits nonlinear CT reconstruction by integrating a diffusion prior and an analytic physical system model, allowing for one-time training for different applications.…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xiao Jiang , Shudong Li , Peiqing Teng , Grace Gang , J. Webster Stayman

Diffusion models have recently gained traction as a powerful class of deep generative priors, excelling in a wide range of image restoration tasks due to their exceptional ability to model data distributions. To solve image restoration…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Xiang Li , Soo Min Kwon , Shijun Liang , Ismail R. Alkhouri , Saiprasad Ravishankar , Qing Qu

Solving inverse problems with the reverse process of a diffusion model represents an appealing avenue to produce highly realistic, yet diverse solutions from incomplete and possibly noisy measurements, ultimately enabling uncertainty…

Geophysics · Physics 2025-01-10 Matteo Ravasi

Healthcare providers are increasingly using machine learning to predict patient outcomes to make meaningful interventions. However, despite innovations in this area, deep learning models often struggle to match performance of shallow linear…

Machine Learning · Computer Science 2020-12-18 Rohan S. Kodialam , Rebecca Boiarsky , Justin Lim , Neil Dixit , Aditya Sai , David Sontag

Sampling efficiently from a target unnormalized probability density remains a core challenge, with relevance across countless high-impact scientific applications. A promising approach towards this challenge is the design of amortized…

Scene-aware Adaptive Compressive Sensing (ACS) has attracted significant interest due to its promising capability for efficient and high-fidelity acquisition of scene images. ACS typically prescribes adaptive sampling allocation (ASA) based…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Zhifu Tian , Tao Hu , Chaoyang Niu , Di Wu , Shu Wang

The success of diffusion models has driven interest in performing conditional sampling via training-free guidance of the denoising process to solve image restoration and other inverse problems. A popular class of methods, based on Diffusion…

Machine Learning · Statistics 2025-06-17 Gregory Bellchambers

In Bayesian statistics, exploring high-dimensional multimodal posterior distributions poses major challenges for existing MCMC approaches. This paper introduces the Annealed Leap-Point Sampler (ALPS), which augments the target distribution…

Methodology · Statistics 2026-02-10 Nicholas G. Tawn , Matthew T. Moores , Hugo Queniat , Gareth O. Roberts

Generative posterior sampling using diffusion models has emerged as a dominant paradigm for solving inverse problems in imaging, which usually consists of three main components: data consistency (DC) guidance, classifier-free guidance (CFG)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Junseo Bang , Dong Ju Mun , Hoigi Seo , Seongmin Hong , Se Young Chun

Diffusion models have been used in cosmological applications as a generative model for fast simulations and to reconstruct underlying cosmological fields or astrophysical images from noisy data. These two tasks are often treated as…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-07 Supranta S. Boruah , Michael Jacob , Bhuvnesh Jain

How can one perform Bayesian inference on stochastic simulators with intractable likelihoods? A recent approach is to learn the posterior from adaptively proposed simulations using neural network-based conditional density estimators.…

Machine Learning · Computer Science 2019-05-21 David S. Greenberg , Marcel Nonnenmacher , Jakob H. Macke

We develop amortized population Gibbs (APG) samplers, a class of scalable methods that frames structured variational inference as adaptive importance sampling. APG samplers construct high-dimensional proposals by iterating over updates to…

Machine Learning · Statistics 2020-07-13 Hao Wu , Heiko Zimmermann , Eli Sennesh , Tuan Anh Le , Jan-Willem van de Meent

Diffusion models have quickly risen in popularity for their ability to model complex distributions and perform effective posterior sampling. Unfortunately, the iterative nature of these generative models makes them computationally expensive…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Tristan S. W. Stevens , Oisín Nolan , Jean-Luc Robert , Ruud J. G. van Sloun

State estimation is a critical task in scientific, engineering and control applications. Since the reliability of reconstructions depends on the number and position of sensors, optimal sensor placement (OSP) is essential in scenarios where…

Machine Learning · Computer Science 2026-05-11 James Rowbottom , Nick Huang , Carola-Bibiane Schönlieb , Ben Adcock

Adaptive randomized pivoting (ARP) is a recently proposed and highly effective algorithm for column subset selection. This paper reinterprets the ARP algorithm by drawing connections to the volume sampling distribution and active learning…

Machine Learning · Statistics 2026-04-06 Ethan N. Epperly

Diffusion models have recently emerged as powerful generative priors for solving inverse problems. However, training diffusion models in the pixel space are both data-intensive and computationally demanding, which restricts their…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Bowen Song , Soo Min Kwon , Zecheng Zhang , Xinyu Hu , Qing Qu , Liyue Shen

Recent advancements in timestep-distilled diffusion models have enabled high-quality image generation that rivals non-distilled multi-step models, but with significantly fewer inference steps. While such models are attractive for…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Zichen Miao , Zhengyuan Yang , Kevin Lin , Ze Wang , Zicheng Liu , Lijuan Wang , Qiang Qiu

Restoring degraded music signals is essential to enhance audio quality for downstream music manipulation. Recent diffusion-based music restoration methods have demonstrated impressive performance, and among them, diffusion posterior…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-14 Carlos Hernandez-Olivan , Koichi Saito , Naoki Murata , Chieh-Hsin Lai , Marco A. Martínez-Ramirez , Wei-Hsiang Liao , Yuki Mitsufuji

Neural posterior estimation (NPE), a simulation-based computational approach for Bayesian inference, has shown great success in approximating complex posterior distributions. Existing NPE methods typically rely on normalizing flows, which…

Machine Learning · Statistics 2025-03-14 Tianyu Chen , Vansh Bansal , James G. Scott

Unsupervised Anomalous Sound Detection (ASD) aims to design a generalizable method that can be used to detect anomalies when only normal sounds are given. In this paper, Anomalous Sound Detection based on Diffusion Models (ASD-Diffusion) is…

Sound · Computer Science 2024-09-25 Fengrun Zhang , Xiang Xie , Kai Guo
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