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This paper considers the problem of minimizing the ordered weighted average (or ordered median) function of finitely many rational functions over compact semi-algebraic sets. Ordered weighted averages of rational functions are not, in…

Optimization and Control · Mathematics 2011-06-30 V. Blanco , S. El-Haj Ben-Ali , J. Puerto

Image denoising is a well studied problem with an extensive activity that has spread over several decades. Despite the many available denoising algorithms, the quest for simple, powerful and fast denoisers is still an active and vibrant…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Gregory Vaksman , Michael Elad , Peyman Milanfar

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization, $\ell_1$ norm regularized optimization, and $\ell_0$ norm regularized…

Numerical Analysis · Computer Science 2018-06-11 Ganzhao Yuan , Wei-Shi Zheng , Li Shen , Bernard Ghanem

Second order total variation (SOTV) models have advantages for image reconstruction over their first order counterparts including their ability to remove the staircase artefact in the reconstructed image, but they tend to blur the…

Computer Vision and Pattern Recognition · Computer Science 2016-09-28 Jinming Duan , Wil OC Ward , Luke Sibbett , Zhenkuan Pan , Li Bai

In this paper, the problem of de-noising of an image contaminated with Additive White Gaussian Noise (AWGN) is studied. This subject is an open problem in signal processing for more than 50 years. Local methods suggested in recent years,…

Computer Vision and Pattern Recognition · Computer Science 2015-01-07 Hossein Bakhshi Golestani , Mohsen Joneidi , Mostafa Sadeghi

Ensemble models often improve generalization performances in challenging tasks. Yet, traditional techniques based on prediction averaging incur three well-known disadvantages: the computational overhead of training multiple models,…

Machine Learning · Computer Science 2024-06-28 Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

One of the common algorithms used to reconstruct photoacoustic (PA) images is the non-adaptive Delay-and-Sum (DAS) beamformer. However, the quality of the reconstructed PA images obtained by DAS is not satisfying due to its high level of…

Signal Processing · Electrical Eng. & Systems 2018-02-13 Roya Paridar , Moein Mozaffarzadeh , Mohammadreza Nasiriavanaki , Mahdi Orooji

Recent developments in Carrillo et al. (2012) and Carrillo et al. (2013) introduced a novel regularization method for compressive imaging in the context of compressed sensing with coherent redundant dictionaries. The approach relies on the…

Information Theory · Computer Science 2013-07-05 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

We revisit the classical, full-fledged Bayesian model averaging (BMA) paradigm to ensemble pre-trained and/or lightly-finetuned foundation models to enhance the classification performance on image and text data. To make BMA tractable under…

Machine Learning · Computer Science 2025-05-29 Mijung Park

Existing automatic data augmentation (DA) methods either ignore updating DA's parameters according to the target model's state during training or adopt update strategies that are not effective enough. In this work, we design a novel data…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Xiaogang Xu , Hengshuang Zhao

In this paper, we propose to use the general $L^2$-based Sobolev norms, i.e., $H^s$ norms where $s\in \mathbb{R}$, to measure the data discrepancy due to noise in image processing tasks that are formulated as optimization problems. As…

Numerical Analysis · Mathematics 2022-03-01 Bowen Zhu , Jingwei Hu , Yifei Lou , Yunan Yang

Using optical hardware for neuromorphic computing has become more and more popular recently due to its efficient high-speed data processing capabilities and low power consumption. However, there are still some remaining obstacles to…

Emerging Technologies · Computer Science 2019-08-08 Chonghuai Ma , Floris Laporte , Joni Dambre , Peter Bienstman

Vision-based object detection is one of the fundamental functions in numerous traffic scene applications such as self-driving vehicle systems and advance driver assistance systems (ADAS). However, it is also a challenging task due to the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Keyu Lu , Jian Li , Xiangjing An , Hangen He

This paper introduces the Raw Natural Image Noise Dataset (RawNIND), a diverse collection of paired raw images designed to support the development of denoising models that generalize across sensors, image development workflows, and styles.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Benoit Brummer , Christophe De Vleeschouwer

We design a novel network architecture for learning discriminative image models that are employed to efficiently tackle the problem of grayscale and color image denoising. Based on the proposed architecture, we introduce two different…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Stamatios Lefkimmiatis

One image processing application that is very helpful for humans is to improve image quality, poor image quality makes the image more difficult to interpret because the information conveyed by the image is reduced. In the process of the…

Image and Video Processing · Electrical Eng. & Systems 2019-02-19 Rini Mayasari , Nono Heryana

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

Optimization and Control · Mathematics 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

Optical flow is the pattern of apparent motion of objects in a scene. The computation of optical flow is a critical component in numerous computer vision tasks such as object detection, visual object tracking, and activity recognition.…

Signal Processing · Electrical Eng. & Systems 2024-01-15 Muhammad Wasim Nawaz , Abdesselam Bouzerdoum , Muhammad Mahboob Ur Rahman , Ghulam Abbas , Faizan Rashid

Distributed quantized weight-balancing and average consensus over fixed digraphs are considered. A digraph with non-negative weights associated to its edges is weight-balanced if, for each node, the sum of the weights of its out-going edges…

Optimization and Control · Mathematics 2018-09-19 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari

One of the most celebrated achievements of modern machine learning technology is automatic classification of images. However, success is typically achieved only with major computational costs. Here we introduce TDAsweep, a machine learning…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Yu-Shih Chen , Melissa Goh , Norm Matloff