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This paper proposes a precise signal recovery method with multilayered non-convex regularization, enhancing sparsity/low-rankness for high-dimensional signals including images and videos. In optimization-based signal recovery, multilayered…

信号处理 · 电气工程与系统科学 2024-09-24 Akari Katsuma , Seisuke Kyochi , Shunsuke Ono , Ivan Selesnick

This paper develops a convex approach for sparse one-dimensional deconvolution that improves upon L1-norm regularization, the standard convex approach. We propose a sparsity-inducing non-separable non-convex bivariate penalty function for…

最优化与控制 · 数学 2016-04-19 Ivan W. Selesnick , Iker Bayram

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

Analysis sparsity is a common prior in inverse problem or machine learning including special cases such as Total Variation regularization, Edge Lasso and Fused Lasso. We study the geometry of the solution set (a polyhedron) of the analysis…

最优化与控制 · 数学 2022-04-14 Xavier Dupuis , Samuel Vaiter

We propose a general framework for reconstructing transform-sparse images from undersampled (squared)-magnitude data corrupted with outliers. This framework is implemented using a multi-layered approach, combining multiple initializations…

Federated Learning (FL) has attracted much interest due to the significant advantages it brings to training deep neural network (DNN) models. However, since communications and computation resources are limited, training DNN models in FL…

机器学习 · 计算机科学 2026-03-17 Ran Greidi , Kobi Cohen

Group sparse representation has shown promising results in image debulrring and image inpainting in GSR [3] , the main reason that lead to the success is by exploiting Sparsity and Nonlocal self-similarity (NSS) between patches on natural…

计算机视觉与模式识别 · 计算机科学 2022-12-23 Luoyu Chen , Fei Wu

Motivated by Tucker tensor decomposition, this paper imposes low-rank structures to the column and row spaces of coefficient matrices in a multivariate infinite-order vector autoregression (VAR), which leads to a supervised factor model…

统计方法学 · 统计学 2023-12-04 Feiqing Huang , Kexin Lu , Guodong Li

It is well-known that training neural networks for image classification with empirical risk minimization (ERM) makes them vulnerable to relying on spurious attributes instead of causal ones for prediction. Previously, deep feature…

A low precision deep neural network training technique for producing sparse, ternary neural networks is presented. The technique incorporates hard- ware implementation costs during training to achieve significant model compression for…

计算机视觉与模式识别 · 计算机科学 2017-10-11 Julian Faraone , Nicholas Fraser , Giulio Gambardella , Michaela Blott , Philip H. W. Leong

Previous low-light image enhancement (LLIE) approaches, while employing frequency decomposition techniques to address the intertwined challenges of low frequency (e.g., illumination recovery) and high frequency (e.g., noise reduction),…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Kun Zhou , Xinyu Lin , Wenbo Li , Xiaogang Xu , Yuanhao Cai , Zhonghang Liu , Xiaoguang Han , Jiangbo Lu

We propose an efficient algorithm for sparse signal reconstruction problems. The proposed algorithm is an augmented Lagrangian method based on the dual sparse reconstruction problem. It is efficient when the number of unknown variables is…

机器学习 · 统计学 2010-10-06 Ryota Tomioka , Masashi Sugiyama

Low-rank matrix completion has achieved great success in many real-world data applications. A matrix factorization model that learns latent features is usually employed and, to improve prediction performance, the similarities between latent…

机器学习 · 统计学 2020-01-28 Kaiyi Ji , Jian Tan , Jinfeng Xu , Yuejie Chi

We propose a feature screening method that integrates both feature-feature and feature-target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous…

机器学习 · 统计学 2025-08-27 Peter Naylor , Benjamin Poignard , Héctor Climente-González , Makoto Yamada

Although large language models (LLM) have achieved remarkable performance, their enormous parameter counts hinder deployment on resource-constrained hardware. Low-rank compression can reduce both memory usage and computational demand, but…

计算与语言 · 计算机科学 2025-10-13 Yu-Chen Lu , Chong-Yan Chen , Chi-Chih Chang , Yu-Fang Hu , Kai-Chiang Wu

Tensor decomposition has emerged as a prominent technique to learn low-dimensional representation under the supervision of reconstruction error, primarily benefiting data inference tasks like completion and imputation, but not…

机器学习 · 计算机科学 2024-09-24 Man Li , Ziyue Li , Lijun Sun , Fugee Tsung

In this work, we propose Salient Sparse Federated Learning (SSFL), a streamlined approach for sparse federated learning with efficient communication. SSFL identifies a sparse subnetwork prior to training, leveraging parameter saliency…

机器学习 · 计算机科学 2026-01-16 Riyasat Ohib , Bishal Thapaliya , Gintare Karolina Dziugaite , Jingyu Liu , Vince Calhoun , Sergey Plis

Tensor completion estimates missing components by exploiting the low-rank structure of multi-way data. The recently proposed methods based on tensor train (TT) and tensor ring (TR) show better performance in image recovery than classical…

机器学习 · 计算机科学 2020-04-24 Huyan Huang , Yipeng Liu , Ce Zhu

Recovering jointly sparse signals in the multiple measurement vectors (MMV) setting is a fundamental problem in machine learning, but traditional methods often require careful parameter tuning or prior knowledge of the sparsity of the…

机器学习 · 计算机科学 2026-02-02 Lakshmi Jayalal , Sheetal Kalyani