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A fruitful approach for solving signal deconvolution problems consists of resorting to a frame-based convex variational formulation. In this context, parallel proximal algorithms and related alternating direction methods of multipliers have…

Other Computer Science · Computer Science 2015-05-28 Nelly Pustelnik , Jean-Christophe Pesquet , Caroline Chaux

Every segmentation algorithm has parameters that need to be adjusted in order to achieve good results. Evolving fuzzy systems for adjustment of segmentation parameters have been proposed recently (Evolving fuzzy image segmentation -- EFIS…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 A. Othman , H. R. Tizhoosh , F. Khalvati

Recently, convolutional filters have been increasingly adopted in sequential recommendation for their ability to capture local sequential patterns. However, most of these models complement convolutional filters with self-attention. This is…

Information Retrieval · Computer Science 2026-03-24 Yehjin Shin , Jeongwhan Choi , Seojin Kim , Noseong Park

Low-light image enhancement is a classical computer vision problem aiming to recover normal-exposure images from low-light images. However, convolutional neural networks commonly used in this field are good at sampling low-frequency local…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Yunliang Zhuang , Zhuoran Zheng , Chen Lyu

Semantic segmentation is an important branch of image processing and computer vision. With the popularity of deep learning, various convolutional neural networks have been proposed for pixel-level classification and segmentation tasks. In…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Xinyu Xu , Huazhen Liu , Tao Zhang , Huilin Xiong , Wenxian Yu

Applying feature dependent network weights have been proved to be effective in many fields. However, in practice, restricted by the enormous size of model parameters and memory footprints, scalable and versatile dynamic convolutions with…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Ze Wang , Zichen Miao , Jun Hu , Qiang Qiu

Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely the…

Machine Learning · Statistics 2018-07-31 Qiang Qiu , Xiuyuan Cheng , Robert Calderbank , Guillermo Sapiro

We propose a patchwise local Fourier extension method for approximating smooth functions on general two dimensional domains with curved boundaries. The domain is embedded into a Cartesian background grid and decomposed into rectangular…

Numerical Analysis · Mathematics 2026-05-12 Zhenyu Zhao , Yanfei Wang

Quantitative evaluations of differences and/or similarities between data samples define and shape optimisation problems associated with learning data distributions. Current methods to compare data often suffer from limitations in capturing…

Machine Learning · Computer Science 2024-01-23 Deborah Pelacani Cruz , George Strong , Oscar Bates , Carlos Cueto , Jiashun Yao , Lluis Guasch

Discriminative Correlation Filters (DCF) have demonstrated excellent performance for visual object tracking. The key to their success is the ability to efficiently exploit available negative data by including all shifted versions of a…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Martin Danelljan , Andreas Robinson , Fahad Shahbaz Khan , Michael Felsberg

Deep convolutional neural networks (CNNs) are usually over-parameterized, which cannot be easily deployed on edge devices such as mobile phones and smart cameras. Existing works used to decrease the number or size of requested convolution…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Kai Han , Yunhe Wang , Yixing Xu , Chunjing Xu , Dacheng Tao , Chang Xu

Fourier phase retrieval is a classical problem of restoring a signal only from the measured magnitude of its Fourier transform. Although Fienup-type algorithms, which use prior knowledge in both spatial and Fourier domains, have been widely…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Eunju Cha , Chanseok Lee , Mooseok Jang , Jong Chul Ye

The free metaplectic transformation (FMT) is widely used in many fields such as filter design, pattern recognition, image processing and optics. In order to obtain a more concise and intuitive convolution form, this paper studies two kinds…

General Mathematics · Mathematics 2022-06-28 Hui Zhao , Bing-Zhao Li

Vision transformers have achieved encouraging progress in various computer vision tasks. A common belief is that this is attributed to the capability of self-attention in modeling the global dependencies among feature tokens. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Yulong Shi , Mingwei Sun , Yongshuai Wang , Zengqiang Chen

Regularization techniques are widely used to improve the generality, robustness, and efficiency of deep convolutional neural networks (DCNNs). In this paper, we propose a novel approach of regulating DCNN convolutional kernels by a…

Machine Learning · Computer Science 2019-11-28 Seyed Mehdi Ayyoubzadeh , Xiaolin Wu

The characteristic feature of inverse problems is their instability with respect to data perturbations. In order to stabilize the inversion process, regularization methods have to be developed and applied. In this work we introduce and…

Numerical Analysis · Mathematics 2022-08-22 Andrea Ebner , Jürgen Frikel , Dirk Lorenz , Johannes Schwab , Markus Haltmeier

We propose a factorization-free method for orthogonal projection onto the positive semidefinite (PSD) cone, leveraging composite polynomial filtering. Inspired by recent advances in homomorphic encryption, our approach approximates the PSD…

Optimization and Control · Mathematics 2025-07-15 Shucheng Kang , Haoyu Han , Antoine Groudiev , Heng Yang

The explosive growth of vector search applications demands efficient handling of combined vector similarity and attribute filtering; a challenge where current approaches force an unsatisfying choice between performance and accuracy. We…

Databases · Computer Science 2025-06-23 Alireza Heidari , Wei Zhang

The problem of image restoration in cryo-EM entails correcting for the effects of the Contrast Transfer Function (CTF) and noise. Popular methods for image restoration include `phase flipping', which corrects only for the Fourier phases but…

Computer Vision and Pattern Recognition · Computer Science 2016-04-29 Tejal Bhamre , Teng Zhang , Amit Singer

Attention mechanisms, and most prominently self-attention, are a powerful building block for processing not only text but also images. These provide a parameter efficient method for aggregating inputs. We focus on self-attention in vision…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Nichita Diaconu , Daniel E Worrall