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In this paper we introduce a method for nonparametric density estimation on geometric networks. We define fused density estimators as solutions to a total variation regularized maximum-likelihood density estimation problem. We provide…

Methodology · Statistics 2018-12-06 Robert Bassett , James Sharpnack

Gaussian noise removal is an interesting area in digital image processing not only to improve the visual quality, but for its impact on other post-processing algorithms like image registration or segmentation. Many presented…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Mojtaba Kazemi , Ehsan Mohammadi. P , Parichehr shahidi sadeghi , Mohamad B. Menhaj

Deep Neural Networks have achieved remarkable success relying on the developing availability of GPUs and large-scale datasets with increasing network depth and width. However, due to the expensive computation and intensive memory,…

Machine Learning · Computer Science 2020-09-07 E Zhenqian , Gao Weiguo

Generative neural image compression supports data representation at extremely low bitrate, synthesizing details at the client and consistently producing highly realistic images. By leveraging the similarities between quantization error and…

Image and Video Processing · Electrical Eng. & Systems 2025-04-04 Lucas Relic , Roberto Azevedo , Yang Zhang , Markus Gross , Christopher Schroers

Image normalization is a building block in medical image analysis. Conventional approaches are customarily utilized on a per-dataset basis. This strategy, however, prevents the current normalization algorithms from fully exploiting the…

Machine Learning · Computer Science 2020-10-06 Pierre-Luc Delisle , Benoit Anctil-Robitaille , Christian Desrosiers , Herve Lombaert

Here we consider the problem of denoising features associated to complex data, modeled as signals on a graph, via a smoothness prior. This is motivated in part by settings such as single-cell RNA where the data is very high-dimensional, but…

Machine Learning · Computer Science 2023-12-12 Sam Leone , Xingzhi Sun , Michael Perlmutter , Smita Krishnaswamy

Non-local self-similarity is well-known to be an effective prior for the image denoising problem. However, little work has been done to incorporate it in convolutional neural networks, which surpass non-local model-based methods despite…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Diego Valsesia , Giulia Fracastoro , Enrico Magli

Inferring relations from correlational data allows researchers across the sciences to uncover complex connections between variables for insights into the underlying mechanisms. The researchers often represent inferred relations using…

Data Analysis, Statistics and Probability · Physics 2023-05-11 Magnus Neuman , Joaquín Calatayud , Viktor Tasselius , Martin Rosvall

We study how effective data augmentation is at capturing the inductive bias of carefully designed network architectures for spatial translation invariance. We evaluate various image classification architectures (antialiased, convolutional,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Suriya Gunasekar

A density estimation method in a Bayesian nonparametric framework is presented when recorded data are not coming directly from the distribution of interest, but from a length biased version. From a Bayesian perspective, efforts to…

Statistics Theory · Mathematics 2015-10-23 Spyridon J. Hatjispyros , Theodoros Nicoleris , Stephen G. Walker

Gaussian mixture filters for nonlinear systems usually rely on severe approximations when calculating mixtures in the prediction and filtering step. Thus, offline approximations of noise densities by Gaussian mixture densities to reduce the…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Ondŕej Straka , Uwe D. Hanebeck

Modern digital cameras rely on the sequential execution of separate image processing steps to produce realistic images. The first two steps are usually related to denoising and demosaicking where the former aims to reduce noise from the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Filippos Kokkinos , Stamatios Lefkimmiatis

Deep generative models such as GANs, normalizing flows, and diffusion models are powerful regularizers for inverse problems. They exhibit great potential for helping reduce ill-posedness and attain high-quality results. However, the latent…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Dongzhuo Li

A simple, yet general, formalism for the optimized linear combination of astrophysical images is constructed and demonstrated. The formalism allows the user to combine multiple undersampled images to provide oversampled output at high…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Barnaby Rowe , Christopher Hirata , Jason Rhodes

Lacking rich and realistic data, learned single image denoising algorithms generalize poorly to real raw images that do not resemble the data used for training. Although the problem can be alleviated by the heteroscedastic Gaussian model…

Image and Video Processing · Electrical Eng. & Systems 2020-04-10 Kaixuan Wei , Ying Fu , Jiaolong Yang , Hua Huang

Normalization techniques are important in different advanced neural networks and different tasks. This work investigates a novel dynamic learning-to-normalize (L2N) problem by proposing Exemplar Normalization (EN), which is able to learn…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Ruimao Zhang , Zhanglin Peng , Lingyun Wu , Zhen Li , Ping Luo

We propose a novel regularization loss that enforces standard Gaussianity, encouraging samples to align with a standard Gaussian distribution. This facilitates a range of downstream tasks involving optimization in the latent space of…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Jisung Hwang , Jaihoon Kim , Minhyuk Sung

We consider the problem of denoising with the help of prior information taken from a database of clean signals or images. Denoising with variational methods is very efficient if a regularizer well adapted to the nature of the data is…

Machine Learning · Computer Science 2023-10-06 Hui Shi , Yann Traonmilin , J-F Aujol

The ultimate aim of image restoration like denoising is to find an exact correlation between the noisy and clear image domains. But the optimization of end-to-end denoising learning like pixel-wise losses is performed in a sample-to-sample…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Kangfu Mei , Vishal M. Patel , Rui Huang

In supervised learning for image denoising, usually the paired clean images and noisy images are collected or synthesised to train a denoising model. L2 norm loss or other distance functions are used as the objective function for training.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Yutong Xie , Minne Yuan , Bin Dong , Quanzheng Li
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