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The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

Optimization and Control · Mathematics 2025-03-14 Ji Li , Chao Wang

Diffusion models have become a successful approach for solving various image inverse problems by providing a powerful diffusion prior. Many studies tried to combine the measurement into diffusion by score function replacement, matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Hanyu Chen , Zhixiu Hao , Liying Xiao

Image-based motion prediction is one of the essential techniques for robot manipulation. Among the various prediction models, we focus on diffusion models because they have achieved state-of-the-art performance in various applications. In…

Computer Vision and Pattern Recognition · Computer Science 2023-06-19 Takeru Oba , Norimichi Ukita

We introduce Interleaved Gibbs Diffusion (IGD), a novel generative modeling framework for discrete-continuous data, focusing on problems with important, implicit and unspecified constraints in the data. Most prior works on discrete and…

Machine Learning · Computer Science 2025-07-04 Gautham Govind Anil , Sachin Yadav , Dheeraj Nagaraj , Karthikeyan Shanmugam , Prateek Jain

Diffusion models have recently been recognised as efficient inverse problem solvers due to their ability to produce high-quality reconstruction results without relying on pairwise data training. Existing diffusion-based solvers utilize…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Linchao He , Hongyu Yan , Mengting Luo , Hongjie Wu , Kunming Luo , Wang Wang , Wenchao Du , Hu Chen , Hongyu Yang , Yi Zhang , Jiancheng Lv

A common challenge in the natural sciences is to disentangle distinct, unknown sources from observations. Examples of this source separation task include deblending galaxies in a crowded field, distinguishing the activity of individual…

Machine Learning · Computer Science 2025-10-08 Sebastian Wagner-Carena , Aizhan Akhmetzhanova , Sydney Erickson

Discrete diffusion models have achieved success in tasks like image generation and masked language modeling but face limitations in controlled content editing. We introduce DICE (Discrete Inversion for Controllable Editing), the first…

Diffusion Probabilistic Models (DPMs) are powerful generative models that have achieved unparalleled success in a number of generative tasks. In this work, we aim to build inductive biases into the training and sampling of diffusion models…

Machine Learning · Computer Science 2025-03-14 Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio , Luca Scimeca

We introduce nested diffusion models, an efficient and powerful hierarchical generative framework that substantially enhances the generation quality of diffusion models, particularly for images of complex scenes. Our approach employs a…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Xiao Zhang , Ruoxi Jiang , Rebecca Willett , Michael Maire

Since most inverse problems arising in scientific and engineering applications are ill-posed, prior information about the solution space is incorporated, typically through regularization, to establish a well-posed problem with a unique…

Signal Processing · Electrical Eng. & Systems 2024-06-18 Carter Lyons , Raghu G. Raj , Margaret Cheney

Generative diffusion models showed high success in many fields with a powerful theoretical background. They convert the data distribution to noise and remove the noise back to obtain a similar distribution. Many existing reviews focused on…

Machine Learning · Computer Science 2024-09-19 Melike Nur Yeğin , Mehmet Fatih Amasyalı

Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-14 Bahjat Kawar , Michael Elad , Stefano Ermon , Jiaming Song

Prevailing Dataset Distillation (DD) methods leveraging generative models confront two fundamental limitations. First, despite pioneering the use of diffusion models in DD and delivering impressive performance, the vast majority of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Letian Zhou , Songhua Liu , Xinchao Wang

Recent studies on inverse problems have proposed posterior samplers that leverage the pre-trained diffusion models as powerful priors. These attempts have paved the way for using diffusion models in a wide range of inverse problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Sojin Lee , Dogyun Park , Inho Kong , Hyunwoo J. Kim

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

This paper addresses the issue of inversion in cases where (1) the observation system is modeled by a linear transformation and additive noise, (2) the problem is ill-posed and regularization is introduced in a Bayesian framework by an a…

Machine Learning · Statistics 2026-02-12 Jean-François Giovannelli

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Diffusion models have achieved great success in image generation. However, when leveraging this idea for video generation, we face significant challenges in maintaining the consistency and continuity across video frames. This is mainly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Haoran Lang , Yuxuan Ge , Zheng Tian

Recent advancements in 3D generation are predominantly propelled by improvements in 3D-aware image diffusion models. These models are pretrained on Internet-scale image data and fine-tuned on massive 3D data, offering the capability of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Zeyu Yang , Zijie Pan , Chun Gu , Li Zhang

Recent advanced diffusion methods typically derive strong generative priors by scaling diffusion transformers. However, scaling fails to generalize when adapted for real-time compression scenarios that demand lightweight models. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Zhaoyang Jia , Naifu Xue , Zihan Zheng , Jiahao Li , Bin Li , Xiaoyi Zhang , Zongyu Guo , Yuan Zhang , Houqiang Li , Yan Lu
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