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Scalable high-quality MAP inference in arbitrary-order Markov Random Fields (MRFs) remains challenging. Approximate message-passing methods are often efficient but can degrade on dense or high-order instances, while exact solvers such as…

Machine Learning · Computer Science 2026-05-08 Yaomin Wang , Chaolong Ying , Xiaodong Luo , Tianshu Yu

Generative models based on flow matching have attracted significant attention for their simplicity and superior performance in high-resolution image synthesis. By leveraging the instantaneous change-of-variables formula, one can directly…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Yasi Zhang , Peiyu Yu , Yaxuan Zhu , Yingshan Chang , Feng Gao , Ying Nian Wu , Oscar Leong

In this paper, we study the problem of inferring time-varying Markov random fields (MRF), where the underlying graphical model is both sparse and changes sparsely over time. Most of the existing methods for the inference of time-varying…

Machine Learning · Computer Science 2021-02-09 Salar Fattahi , Andres Gomez

Almost all existing methods for image restoration are based on optimizing the mean squared error (MSE), even though it is known that the best estimate in terms of MSE may yield a highly atypical image due to the fact that there are many…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Roy Friedman , Yair Weiss

Markov random fields (MRFs) are a powerful tool for modelling statistical dependencies for a set of random variables using a graphical representation. An important computational problem related to MRFs, called maximum a posteriori (MAP)…

Data Structures and Algorithms · Computer Science 2017-08-11 Alexander Bauer , Shinichi Nakajima , Nico Görnitz , Klaus-Robert Müller

Problem of impulse noise reduction is a very well studied problem in image processing community and many different approaches have been proposed to tackle this problem. In the current work, the problem of fixed value impulse noise (salt and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Ahmadreza Baghaie

The estimation of multi-parametric quantitative maps from Magnetic Resonance Fingerprinting (MRF) compressed sampled acquisitions, albeit successful, remains a challenge due to the high underspampling rate and artifacts naturally occuring…

Image and Video Processing · Electrical Eng. & Systems 2024-07-30 Perla Mayo , Matteo Cencini , Ketan Fatania , Carolin M. Pirkl , Marion I. Menzel , Bjoern H. Menze , Michela Tosetti , Mohammad Golbabaee

Stereo matching is a core task for many computer vision and robotics applications. Despite their dominance in traditional stereo methods, the hand-crafted Markov Random Field (MRF) models lack sufficient modeling accuracy compared to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Tongfan Guan , Chen Wang , Yun-Hui Liu

Assuming a known degradation model, the performance of a learned image super-resolution (SR) model depends on how well the variety of image characteristics within the training set matches those in the test set. As a result, the performance…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Cansu Korkmaz , A. Murat Tekalp , Zafer Dogan

Neural Radiance Fields (NeRF) can be optimized to obtain high-fidelity 3D scene reconstructions of objects and large-scale scenes. However, NeRFs require accurate camera parameters as input -- inaccurate camera parameters result in blurry…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Keunhong Park , Philipp Henzler , Ben Mildenhall , Jonathan T. Barron , Ricardo Martin-Brualla

By developing sophisticated image priors or designing deep(er) architectures, a variety of image Super-Resolution (SR) approaches have been proposed recently and achieved very promising performance. A natural question that arises is whether…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Junjun Jiang , Yi Yu , Zheng Wang , Suhua Tang , Ruimin Hu , Jiayi Ma

High resolution Magnetic Resonance (MR) images are desired for accurate diagnostics. In practice, image resolution is restricted by factors like hardware and processing constraints. Recently, deep learning methods have been shown to produce…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Venkateswararao Cherukuri , Tiantong Guo , Steve. J. Schiff , Vishal Monga

Image super-resolution (SR) is an effective way to enhance the spatial resolution and detail information of remote sensing images, to obtain a superior visual quality. As SR is severely ill-conditioned, effective image priors are necessary…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Jing Sun , Huanfeng Shen , Qiangqiang Yuan , Liangpei Zhang

Color image segmentation is an important topic in the image processing field. MRF-MAP is often adopted in the unsupervised segmentation methods, but their performance are far behind recent interactive segmentation tools supervised by user…

Computer Vision and Pattern Recognition · Computer Science 2012-02-21 Qiyang Zhao

This paper proposes a general framework for internal patch-based image restoration based on Conditional Random Fields (CRF). Unlike related models based on Markov Random Fields (MRF), our approach explicitly formulates the posterior…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Milad Niknejad , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Maximum-a-posteriori (MAP) approaches are an effective framework for inverse problems with known forward operators, particularly when combined with expressive priors and careful parameter selection. In blind settings, however, their use…

Information Theory · Computer Science 2026-02-13 Nathan Buskulic , Luca Calatroni

In this work, we present a new multi-view depth estimation method that utilizes both conventional reconstruction and learning-based priors over the recently proposed neural radiance fields (NeRF). Unlike existing neural network based…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Yi Wei , Shaohui Liu , Yongming Rao , Wang Zhao , Jiwen Lu , Jie Zhou

Markov Random Fields (MRFs) are a popular model for several pattern recognition and reconstruction problems in robotics and computer vision. Inference in MRFs is intractable in general and related work resorts to approximation algorithms.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Siyi Hu , Luca Carlone

I consider the use of Markov random fields (MRFs) on a fine grid to represent latent spatial processes when modeling point-level and areal data, including situations with spatial misalignment. Point observations are related to the grid cell…

Methodology · Statistics 2013-04-09 Christopher J. Paciorek

Most NeRF-based models are designed for learning the entire scene, and complex scenes can lead to longer learning times and poorer rendering effects. This paper utilizes scene semantic priors to make improvements in fast training, allowing…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Yuesong Li , Feng Pan , Helong Yan , Xiuli Xin , Xiaoxue Feng