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Related papers: Align & Invert: Solving Inverse Problems with Diff…

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From a Bayesian perspective, score-based diffusion solves inverse problems through joint inference, embedding the likelihood with the prior to guide the sampling process. However, this formulation fails to explain its practical behavior:…

Artificial Intelligence · Computer Science 2026-05-13 Hao Chen , Renzheng Zhang , Scott S. Howard

We study a new family of inverse problems for recovering representations of corrupted data. We assume access to a pre-trained representation learning network R(x) that operates on clean images, like CLIP. The problem is to recover the…

Machine Learning · Computer Science 2021-10-28 Sriram Ravula , Georgios Smyrnis , Matt Jordan , Alexandros G. Dimakis

Large-scale diffusion models have achieved remarkable performance in generative tasks. Beyond their initial training applications, these models have proven their ability to function as versatile plug-and-play priors. For instance, 2D…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Xiaofeng Yang , Cheng Chen , Xulei Yang , Fayao Liu , Guosheng Lin

Diffusion models are a class of flexible generative models trained with an approximation to the log-likelihood objective. However, most use cases of diffusion models are not concerned with likelihoods, but instead with downstream objectives…

Machine Learning · Computer Science 2024-01-08 Kevin Black , Michael Janner , Yilun Du , Ilya Kostrikov , Sergey Levine

Recent literature has effectively leveraged diffusion models trained on continuous variables as priors for solving inverse problems. Notably, discrete diffusion models with discrete latent codes have shown strong performance, particularly…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Naoki Murata , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Bac Nguyen , Stefano Ermon , Yuki Mitsufuji

Deep generative models have emerged as state-of-the-art for solving inverse problems, but applying them to inverse problems for PDEs, like electrical impedance tomography (EIT) remains challenging. Because physical domains are naturally…

Image and Video Processing · Electrical Eng. & Systems 2026-05-20 Giovanni S. Alberti , Damiana Lazzaro , Serena Morigi , Matteo Santacesaria , Shibo Wang

Flow-based latent generative models such as Stable Diffusion 3 are able to generate images with remarkable quality, even enabling photorealistic text-to-image generation. Their impressive performance suggests that these models should also…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Julius Erbach , Dominik Narnhofer , Andreas Dombos , Bernt Schiele , Jan Eric Lenssen , Konrad Schindler

Joint machine learning models that allow synthesizing and classifying data often offer uneven performance between those tasks or are unstable to train. In this work, we depart from a set of empirical observations that indicate the…

Machine Learning · Computer Science 2023-04-06 Kamil Deja , Tomasz Trzcinski , Jakub M. Tomczak

Recent advancements in diffusion models (DMs) have been propelled by alignment methods that post-train models to better conform to human preferences. However, these approaches typically require computation-intensive training of a base model…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Zejian Li , Yize Li , Chenye Meng , Zhongni Liu , Yang Ling , Shengyuan Zhang , Guang Yang , Changyuan Yang , Zhiyuan Yang , Lingyun Sun

Diffusion models have achieved remarkable success in image generation, with applications broadening across various domains. Inpainting is one such application that can benefit significantly from diffusion models. Existing methods either…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Sora Kim , Sungho Suh , Minsik Lee

Erase inpainting, or object removal, aims to precisely remove target objects within masked regions while preserving the overall consistency of the surrounding content. Despite diffusion-based methods have made significant strides in the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Yi Liu , Hao Zhou , Wenxiang Shang , Ran Lin , Benlei Cui

Rendering and inverse rendering are pivotal tasks in both computer vision and graphics. The rendering equation is the core of the two tasks, as an ideal conditional distribution transfer function from intrinsic properties to RGB images.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Zhifei Chen , Tianshuo Xu , Wenhang Ge , Leyi Wu , Dongyu Yan , Jing He , Luozhou Wang , Lu Zeng , Shunsi Zhang , Yingcong Chen

Generative models have emerged as powerful priors for solving inverse problems. These models typically represent a class of natural signals using a single fixed complexity or dimensionality. This can be limiting: depending on the problem, a…

Machine Learning · Computer Science 2026-03-11 Sean Gunn , Jorio Cocola , Oliver De Candido , Vaggos Chatziafratis , Paul Hand

This tutorial provides an in-depth guide on inference-time guidance and alignment methods for optimizing downstream reward functions in diffusion models. While diffusion models are renowned for their generative modeling capabilities,…

Artificial Intelligence · Computer Science 2025-01-22 Masatoshi Uehara , Yulai Zhao , Chenyu Wang , Xiner Li , Aviv Regev , Sergey Levine , Tommaso Biancalani

Diffusion probabilistic models (DPMs) are a key component in modern generative models. DPM-solvers have achieved reduced latency and enhanced quality significantly, but have posed challenges to find the exact inverse (i.e., finding the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Seongmin Hong , Kyeonghyun Lee , Suh Yoon Jeon , Hyewon Bae , Se Young Chun

This work addresses image restoration tasks through the lens of inverse problems using unpaired datasets. In contrast to traditional approaches -- which typically assume full knowledge of the forward model or access to paired degraded and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Giacomo Meanti , Thomas Ryckeboer , Michael Arbel , Julien Mairal

When solving inverse problems, one has to deal with numerous potential sources of model inexactnesses, like object motion, calibration errors, or simplified data models. Regularized Sequential Subspace Optimization (ReSeSOp) allows to…

Numerical Analysis · Mathematics 2024-11-15 Mathias S. Feinler , Bernadette N. Hahn

Diffusion models have become a central paradigm for image and multimodal generation, yet their deployment raises persistent questions about alignment, safety, preference satisfaction, and robustness to misuse. This survey reviews recent…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Preeti Lamba , Kiran Ravish , Ankita Kushwaha , Pawan Kumar

Recent research has shown that text-to-image diffusion models are capable of generating high-quality images guided by text prompts. But can they be used to generate or approximate real-world images from the seed noise? This is known as the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Weiming Chen , Qifan Liu , Siyi Liu , Yushun Tang , Yijia Wang , Zhihan Zhu , Zhihai He

There has been a flurry of activity around using pretrained diffusion models as informed data priors for solving inverse problems, and more generally around steering these models using reward models. Training-free methods like diffusion…

Machine Learning · Computer Science 2025-06-13 Aayush Karan , Kulin Shah , Sitan Chen
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