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Diffusion models have found valuable applications in anomaly detection by capturing the nominal data distribution and identifying anomalies via reconstruction. Despite their merits, they struggle to localize anomalies of varying scales,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Justin Tebbe , Jawad Tayyub

Inversion by Direct Iteration (InDI) is a new formulation for supervised image restoration that avoids the so-called "regression to the mean" effect and produces more realistic and detailed images than existing regression-based methods. It…

Image and Video Processing · Electrical Eng. & Systems 2024-02-05 Mauricio Delbracio , Peyman Milanfar

This paper considers blind inverse image restoration, the task of predicting a target image from a degraded source when the degradation (i.e. the forward operator) is unknown. Existing solutions typically rely on restrictive assumptions…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Michail Dontas , Yutong He , Naoki Murata , Yuki Mitsufuji , J. Zico Kolter , Ruslan Salakhutdinov

Diffusion posterior sampling solves inverse problems by combining a pretrained diffusion prior with measurement-consistency guidance, but it often fails to recover fine details because measurement terms are applied in a manner that is…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Feng Tian , Yixuan Li , Weili Zeng , Weitian Zhang , Yichao Yan , Xiaokang Yang

Diffusion models have emerged as powerful tools for solving inverse problems, yet prior work has primarily focused on observations with Gaussian measurement noise, restricting their use in real-world scenarios. This limitation persists due…

Machine Learning · Statistics 2025-02-11 Alessandro Micheli , Mélodie Monod , Samir Bhatt

In this work, we study Source-Free Unsupervised Domain Adaptation under corruption-induced domain shifts, where performance degradation is caused by natural image corruptions that go beyond additive noise, including blur, weather effects,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Francesco Olivato , Cigdem Beyan , Vittorio Murino

Diffusion models have demonstrated remarkable efficacy in generating high-quality samples. Existing diffusion-based image restoration algorithms exploit pre-trained diffusion models to leverage data priors, yet they still preserve elements…

Image and Video Processing · Electrical Eng. & Systems 2024-08-07 Hongjie Wu , Linchao He , Mingqin Zhang , Dongdong Chen , Kunming Luo , Mengting Luo , Ji-Zhe Zhou , Hu Chen , Jiancheng Lv

In this paper, we introduce a novel, data-driven approach for solving high-dimensional Bayesian inverse problems based on partial differential equations (PDEs), called Weak Neural Variational Inference (WNVI). The method complements real…

Machine Learning · Statistics 2024-07-31 Vincent C. Scholz , Yaohua Zang , Phaedon-Stelios Koutsourelakis

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

Recommendation systems often rely on implicit feedback, where only positive user-item interactions can be observed. Negative sampling is therefore crucial to provide proper negative training signals. However, existing methods tend to…

Information Retrieval · Computer Science 2026-01-06 Na Li , Fanghui Sun , Yan Zou , Yangfu Zhu , Xiatian Zhu , Ying Ma

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

Pretrained diffusion models are effective priors for Bayesian inverse problems, but posterior sampling with these priors is often costly because data-consistency guidance is applied throughout the full reverse trajectory. Existing methods…

Machine Learning · Computer Science 2026-05-29 Abduragim Shtanchaev , Albina Ilina , Yazid Janati , Arip Asadulaev , Martin Takac , Eric Moulines

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

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

In recent years we have witnessed a growth in mathematics for deep learning, which has been used to solve inverse problems of partial differential equations (PDEs). However, most deep learning-based inversion methods either require paired…

Numerical Analysis · Mathematics 2024-04-23 Enze Jiang , Jishen Peng , Zheng Ma , Xiong-Bin Yan

Diffusion models have achieved excellent success in solving inverse problems due to their ability to learn strong image priors, but existing approaches require a large training dataset of images that should come from the same distribution…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Jason Hu , Bowen Song , Jeffrey A. Fessler , Liyue Shen

Existing deterministic variational inference approaches for diffusion processes use simple proposals and target the marginal density of the posterior. We construct the variational process as a controlled version of the prior process and…

Machine Learning · Computer Science 2021-03-02 Christian Wildner , Heinz Koeppl

Pre-trained diffusion models have been successfully used as priors in a variety of linear inverse problems, where the goal is to reconstruct a signal from noisy linear measurements. However, existing approaches require knowledge of the…

Machine Learning · Computer Science 2023-06-28 Naoki Murata , Koichi Saito , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Yuki Mitsufuji , Stefano Ermon

In this work, we investigate diffusion-based video prediction models, which forecast future video frames, for continuous video streams. In this context, the models observe continuously new training samples, and we aim to leverage this to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Sina Mokhtarzadeh Azar , Emad Bahrami , Enrico Pallotta , Gianpiero Francesca , Radu Timofte , Juergen Gall

Inverting real images into the noise space is essential for editing tasks using diffusion models, yet existing methods produce non-Gaussian noise with poor editability due to the inaccuracy in early noising steps. We identify the root…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Chen Min , Enze Jiang , Jishen Peng , Zheng Ma
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