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We study minimization of a structured objective function, being the sum of a smooth function and a composition of a weakly convex function with a linear operator. Applications include image reconstruction problems with regularizers that…

Optimization and Control · Mathematics 2021-06-01 Axel Böhm , Stephen J. Wright

This work introduces Differential Wavelet Amplifier (DWA), a drop-in module for wavelet-based image Super-Resolution (SR). DWA invigorates an approach recently receiving less attention, namely Discrete Wavelet Transformation (DWT). DWT…

Image and Video Processing · Electrical Eng. & Systems 2024-03-08 Brian B. Moser , Stanislav Frolov , Federico Raue , Sebastian Palacio , Andreas Dengel

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

Omnidirectional image quality assessment (OIQA) has been widely investigated in the past few years and achieved much success. However, most of existing studies are dedicated to solve the uniform distortion problem in OIQA, which has a…

Image and Video Processing · Electrical Eng. & Systems 2025-01-22 Jiebin Yan , Jiale Rao , Junjie Chen , Ziwen Tan , Weide Liu , Yuming Fang

The rise of machine learning in image processing has created a gap between trainable data-driven and classical model-driven approaches: While learning-based models often show superior performance, classical ones are often more transparent.…

Image and Video Processing · Electrical Eng. & Systems 2020-04-15 Tobias Alt , Joachim Weickert

Though achieving excellent performance in some cases, current unsupervised learning methods for single image denoising usually have constraints in applications. In this paper, we propose a new approach which is more general and applicable…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yutong Xie , Mingze Yuan , Bin Dong , Quanzheng Li

Agglomerative hierarchical clustering based on Ordered Weighted Averaging (OWA) operators not only generalises the single, complete, and average linkages, but also includes intercluster distances based on a few nearest or farthest…

Machine Learning · Statistics 2023-10-27 Marek Gagolewski , Anna Cena , Simon James , Gleb Beliakov

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

Designing a deep neural network (DNN) with good generalization capability is a complex process especially when the weights are severely quantized. Model averaging is a promising approach for achieving the good generalization capability of…

Machine Learning · Computer Science 2020-02-04 Sungho Shin , Yoonho Boo , Wonyong Sung

In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some…

Artificial Intelligence · Computer Science 2019-05-10 Benjamin Bedregal , Humberto Bustince , Eduardo Palmeira , Graçaliz Pereira Dimuro , Javier Fernandez

We analytically and numerically investigate the performance of weak-value amplification (WVA) and related parameter estimation methods in the presence of temporally correlated noise. WVA is a special instance of a general measurement…

Multiple rotation averaging is an essential task for structure from motion, mapping, and robot navigation. The task is to estimate the absolute orientations of several cameras given some of their noisy relative orientation measurements. The…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Pulak Purkait , Tat-Jun Chin , Ian Reid

Simple data augmentation techniques, such as rotations and flips, are widely used to enhance the generalization power of computer vision models. However, these techniques often fail to modify high-level semantic attributes of a class. To…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Tobias Lingenberg , Markus Reuter , Gopika Sudhakaran , Dominik Gojny , Stefan Roth , Simone Schaub-Meyer

The advancement of imaging devices and countless images generated everyday pose an increasingly high demand on image denoising, which still remains a challenging task in terms of both effectiveness and efficiency. To improve denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

The importance of regularization has been well established in image reconstruction -- which is the computational inversion of imaging forward model -- with applications including deconvolution for microscopy, tomographic reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2021-06-29 Sanjay Viswanath , Manu Ghulyani , Muthuvel Arigovindan

All techniques for denoising involve a notion of a true (noise-free) image, and a hypothesis space. The hypothesis space may reconstruct the image directly as a grayscale valued function, or indirectly by its Fourier or wavelet spectrum.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Sajal Chakroborty , Suddhasattwa Das

The paper considers a distributed algorithm for global minimization of a nonconvex function. The algorithm is a first-order consensus + innovations type algorithm that incorporates decaying additive Gaussian noise for annealing, converging…

Optimization and Control · Mathematics 2019-07-23 Brian Swenson , Soummya Kar , H. Vincent Poor , José M. F. Moura

In order to improve image quality of projection in industrial applications, generally, a standard method is to increase the current or exposure time, which might cause overexposure of detector units in areas of thin objects or backgrounds.…

Image and Video Processing · Electrical Eng. & Systems 2024-12-10 Mengyu Sun , Dimeng Xia , Shusen Zhao , Weibin Zhang , Yaobin He

The ordered weighted $\ell_1$ norm (OWL) was recently proposed, with two different motivations: its good statistical properties as a sparsity promoting regularizer; the fact that it generalizes the so-called {\it octagonal shrinkage and…

Data Structures and Algorithms · Computer Science 2015-04-13 Xiangrong Zeng , Mário A. T. Figueiredo

Digital/Analog converters based on sigma-delta modulation are simple and unexpensive circuits featuring a signal bandwidth limited by speed constraints. Multi-bit modulators allow balancing complexity and speed by reducing the clock…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Marta Laguna , Juana M. Martínez-Heredia , Manuel G. Satué
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