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This work describes a method of approximating matrix permanents efficiently using belief propagation. We formulate a probability distribution whose partition function is exactly the permanent, then use Bethe free energy to approximate this…

Machine Learning · Computer Science 2009-08-13 Bert Huang , Tony Jebara

In the quest for scalable Bayesian computational algorithms we need to exploit the full potential of existing methodologies. In this note we point out that message passing algorithms, which are very well developed for inference in graphical…

Computation · Statistics 2017-09-05 Omiros Papaspiliopoulos , Giacomo Zanella

We propose a method to use artificial neural networks to approximate light scattering by multilayer nanoparticles. We find the network needs to be trained on only a small sampling of the data in order to approximate the simulation to high…

Image inpainting is an ill-posed problem to recover missing or damaged image content based on incomplete images with masks. Previous works usually predict the auxiliary structures (e.g., edges, segmentation and contours) to help fill…

Computer Vision and Pattern Recognition · Computer Science 2022-08-26 Yongsheng Yu , Dawei Du , Libo Zhang , Tiejian Luo

Inpainting is the technique of reconstructing unknown or damaged portions of an image in a visually plausible way. Inpainting algorithm automatically fills the damaged region in an image using the information available in undamaged region.…

Computer Vision and Pattern Recognition · Computer Science 2012-09-14 S. Padmavathi , B. Priyalakshmi. Dr. K. P. Soman

Image inpainting methods have shown significant improvements by using deep neural networks recently. However, many of these techniques often create distorted structures or blurry textures inconsistent with surrounding areas. The problem is…

Computer Vision and Pattern Recognition · Computer Science 2022-01-04 Maitreya Suin , Kuldeep Purohit , A. N. Rajagopalan

It has been proposed by many researchers that combining deep neural networks with graphical models can create more efficient and better regularized composite models. The main difficulties in implementing this in practice are associated with…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Patrick Knöbelreiter , Christian Sormann , Alexander Shekhovtsov , Friedrich Fraundorfer , Thomas Pock

In this article, we present a visual introduction to Gaussian Belief Propagation (GBP), an approximate probabilistic inference algorithm that operates by passing messages between the nodes of arbitrarily structured factor graphs. A special…

Artificial Intelligence · Computer Science 2021-07-07 Joseph Ortiz , Talfan Evans , Andrew J. Davison

We propose a simple interpolation-based method for the efficient approximation of gradients in neural ODE models. We compare it with the reverse dynamic method (known in the literature as "adjoint method") to train neural ODEs on…

Neural and Evolutionary Computing · Computer Science 2020-11-03 Talgat Daulbaev , Alexandr Katrutsa , Larisa Markeeva , Julia Gusak , Andrzej Cichocki , Ivan Oseledets

Contemporary deep learning based inpainting algorithms are mainly based on a hybrid dual stage training policy of supervised reconstruction loss followed by an unsupervised adversarial critic loss. However, there is a dearth of literature…

Computer Vision and Pattern Recognition · Computer Science 2019-08-19 Avisek Lahiri , Arnav Kumar Jain , Prabir Kumar Biswas

Discrete diffusion models have emerged as a powerful generative modeling framework for discrete data with successful applications spanning from text generation to image synthesis. However, their deployment faces challenges due to the high…

Machine Learning · Computer Science 2025-12-01 Yinuo Ren , Haoxuan Chen , Yuchen Zhu , Wei Guo , Yongxin Chen , Grant M. Rotskoff , Molei Tao , Lexing Ying

Belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and Bayesian graphical models, but it suffers from the serious shortcoming that it works…

Statistical Mechanics · Physics 2021-04-27 Alec Kirkley , George T. Cantwell , M. E. J. Newman

Homogeneous diffusion inpainting can reconstruct missing image areas with high quality from a sparse subset of known pixels, provided that their location as well as their gray or color values are well optimized. This property is exploited…

Image and Video Processing · Electrical Eng. & Systems 2024-08-13 Niklas Kämper , Vassillen Chizhov , Joachim Weickert

Image inpainting is the task of filling in missing or masked region of an image with semantically meaningful contents. Recent methods have shown significant improvement in dealing with large-scale missing regions. However, these methods…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Wanglong Lu , Xianta Jiang , Xiaogang Jin , Yong-Liang Yang , Minglun Gong , Tao Wang , Kaijie Shi , Hanli Zhao

Diffusion models are the current state of the art for generating photorealistic images. Controlling the sampling process for constrained image generation tasks such as inpainting, however, remains challenging since exact conditioning on…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Anji Liu , Mathias Niepert , Guy Van den Broeck

A great deal of work aims to discover large general purpose models of image interest or memorability for visual search and information retrieval. This paper argues that image interest is often domain and user specific, and that efficient…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Michael Burke , Siyabonga Mbonambi , Purity Molala , Raesetje Sefala

Diffusion models have recently shown remarkable results in magnetic resonance imaging reconstruction. However, the employed networks typically are black-box estimators of the (smoothed) prior score with tens of millions of parameters,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-16 Laurenz Nagler , Martin Zach , Thomas Pock

Diffusion models have emerged as powerful priors for image editing tasks such as inpainting and local modification, where the objective is to generate realistic content that remains consistent with observed regions. In particular, zero-shot…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Badr Moufad , Navid Bagheri Shouraki , Alain Oliviero Durmus , Thomas Hirtz , Eric Moulines , Jimmy Olsson , Yazid Janati

As online shopping is growing, the ability for buyers to virtually visualize products in their settings-a phenomenon we define as "Virtual Try-All"-has become crucial. Recent diffusion models inherently contain a world model, rendering them…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Mehmet Saygin Seyfioglu , Karim Bouyarmane , Suren Kumar , Amir Tavanaei , Ismail B. Tutar

This paper presents a novel and efficient image enhancement method based on pigment representation. Unlike conventional methods where the color transformation is restricted to pre-defined color spaces like RGB, our method dynamically adapts…

Image and Video Processing · Electrical Eng. & Systems 2025-10-06 Se-Ho Lee , Keunsoo Ko , Seung-Wook Kim
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