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In this paper, we study color image inpainting as a pure quaternion matrix completion problem. In the literature, the theoretical guarantee for quaternion matrix completion is not well-established. Our main aim is to propose a new…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Junren Chen , Michael K. Ng

Diffusion models can generate a variety of high-quality images by modeling complex data distributions. Trained diffusion models can also be very effective image priors for solving inverse problems. Most of the existing diffusion-based…

Image and Video Processing · Electrical Eng. & Systems 2025-09-01 Nebiyou Yismaw , Ulugbek S. Kamilov , M. Salman Asif

Though diffusion-based video generation has witnessed rapid progress, the inference results of existing models still exhibit unsatisfactory temporal consistency and unnatural dynamics. In this paper, we delve deep into the noise…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Tianxing Wu , Chenyang Si , Yuming Jiang , Ziqi Huang , Ziwei Liu

Video Frame Interpolation (VFI) aims to predict the intermediate frame $I_n$ (we use n to denote time in videos to avoid notation overload with the timestep $t$ in diffusion models) based on two consecutive neighboring frames $I_0$ and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Zonglin Lyu , Chen Chen

Diffusion-based inpainting can reconstruct missing image areas with high quality from sparse data, provided that their location and their values are well optimised. This is particularly useful for applications such as image compression,…

Image and Video Processing · Electrical Eng. & Systems 2023-03-24 Pascal Peter , Karl Schrader , Tobias Alt , Joachim Weickert

We present a simple, modular, and generic method that upsamples coarse 3D models by adding geometric and appearance details. While generative 3D models now exist, they do not yet match the quality of their counterparts in image and video…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Yuan Shen , Duygu Ceylan , Paul Guerrero , Zexiang Xu , Niloy J. Mitra , Shenlong Wang , Anna Frühstück

High-dimensional simulation optimization is notoriously challenging. We propose a new sampling algorithm that converges to a global optimal solution and suffers minimally from the curse of dimensionality. The algorithm consists of two…

Machine Learning · Statistics 2021-07-21 Liang Ding , Rui Tuo , Xiaowei Zhang

Video super-resolution aims at generating a high-resolution video from its low-resolution counterpart. With the rapid rise of deep learning, many recently proposed video super-resolution methods use convolutional neural networks in…

Computer Vision and Pattern Recognition · Computer Science 2020-01-07 Xiaohong Liu , Lingshi Kong , Yang Zhou , Jiying Zhao , Jun Chen

Diffusion models that can generate high-quality data from randomly sampled Gaussian noises have become the mainstream generative method in both academia and industry. Are randomly sampled Gaussian noises equally good for diffusion models?…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Zipeng Qi , Lichen Bai , Haoyi Xiong , Zeke Xie

To adopt neural networks in safety critical domains, knowing whether we can trust their predictions is crucial. Bayesian neural networks (BNNs) provide uncertainty estimates by averaging predictions with respect to the posterior weight…

Machine Learning · Computer Science 2021-03-17 Jannik Schmitt , Stefan Roth

We present a novel approach to leverage prior knowledge encapsulated in pre-trained text-to-image diffusion models for blind super-resolution (SR). Specifically, by employing our time-aware encoder, we can achieve promising restoration…

Computer Vision and Pattern Recognition · Computer Science 2024-07-01 Jianyi Wang , Zongsheng Yue , Shangchen Zhou , Kelvin C. K. Chan , Chen Change Loy

Diffusion models have demonstrated superior performance across various generative tasks including images, videos, and audio. However, they encounter difficulties in directly generating high-resolution samples. Previously proposed solutions…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Juno Hwang , Yong-Hyun Park , Junghyo Jo

Progressively applying Gaussian noise transforms complex data distributions to approximately Gaussian. Reversing this dynamic defines a generative model. When the forward noising process is given by a Stochastic Differential Equation (SDE),…

Machine Learning · Statistics 2023-04-06 Valentin De Bortoli , James Thornton , Jeremy Heng , Arnaud Doucet

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Used as priors for Bayesian inverse problems, diffusion models have recently attracted considerable attention in the literature. Their flexibility and high variance enable them to generate multiple solutions for a given task, such as…

Machine Learning · Computer Science 2025-07-10 Emile Pierret , Bruno Galerne

For decades, procedural worlds have been built on procedural noise functions such as Perlin noise, which are fast and infinite, yet fundamentally limited in realism and large-scale coherence. Conversely, diffusion models offer unprecedented…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Alexander Goslin

The new paradigm of test-time scaling has yielded remarkable breakthroughs in Large Language Models (LLMs) (e.g. reasoning models) and in generative vision models, allowing models to allocate additional computation during inference to…

Machine Learning · Computer Science 2025-08-14 Luca Eyring , Shyamgopal Karthik , Alexey Dosovitskiy , Nataniel Ruiz , Zeynep Akata

Generative modeling aims to produce new random examples from an unknown target distribution, given access to a finite collection of examples. Among the leading approaches, denoising diffusion probabilistic models (DDPMs) construct such…

Machine Learning · Statistics 2025-06-12 Vahan Arsenyan , Elen Vardanyan , Arnak Dalalyan

We introduce a novel, training-free method for sampling differentiable representations (diffreps) using pretrained diffusion models. Rather than merely mode-seeking, our method achieves sampling by "pulling back" the dynamics of the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Yash Savani , Marc Finzi , J. Zico Kolter

We propose a diffusion-based inverse rendering framework that decomposes a single RGB image into geometry, material, and lighting. Inverse rendering is inherently ill-posed, making it difficult to predict a single accurate solution. To…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 JunYong Choi , Min-Cheol Sagong , SeokYeong Lee , Seung-Won Jung , Ig-Jae Kim , Junghyun Cho