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In this paper we consider the dictionary learning problem for sparse representation. We first show that this problem is NP-hard by polynomial time reduction of the densest cut problem. Then, using successive convex approximation strategies,…

机器学习 · 计算机科学 2015-11-06 Meisam Razaviyayn , Hung-Wei Tseng , Zhi-Quan Luo

Offline reinforcement learning (RL) offers a promising direction for learning policies from pre-collected datasets without requiring further interactions with the environment. However, existing methods struggle to handle out-of-distribution…

机器学习 · 计算机科学 2024-03-12 Zhepeng Cen , Zuxin Liu , Zitong Wang , Yihang Yao , Henry Lam , Ding Zhao

Humans can learn incrementally, whereas neural networks forget previously acquired information catastrophically. Continual Learning (CL) approaches seek to bridge this gap by facilitating the transfer of knowledge to both previous tasks…

Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition…

机器学习 · 统计学 2026-03-24 Shixiang Liu , Zhifan Li , Hanming Yang , Jianxin Yin

We propose an efficient online dictionary learning algorithm for kernel-based sparse representations. In this framework, input signals are nonlinearly mapped to a high-dimensional feature space and represented sparsely using a virtual…

机器学习 · 计算机科学 2025-07-03 Ghasem Alipoor , Karl Skretting

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

最优化与控制 · 数学 2020-02-03 Sophie M. Fosson

Learning new representations of input observations in machine learning is often tackled using a factorization of the data. For many such problems, including sparse coding and matrix completion, learning these factorizations can be…

机器学习 · 统计学 2017-08-08 Lei Le , Martha White

Learning from non-stationary data streams, also called Task-Free Continual Learning (TFCL) remains challenging due to the absence of explicit task information. Although recently some methods have been proposed for TFCL, they lack…

计算机视觉与模式识别 · 计算机科学 2022-10-14 Fei Ye , Adrian G. Bors

We study in this paper the improvement of one-class support vector machines (OC-SVM) through sparse representation techniques for unsupervised anomaly detection. As Dictionary Learning (DL) became recently a common analysis technique that…

机器学习 · 计算机科学 2024-04-08 Paul Irofti , Iulian-Andrei Hîji , Andrei Pătraşcu , Nicolae Cleju

In big data image/video analytics, we encounter the problem of learning an overcomplete dictionary for sparse representation from a large training dataset, which can not be processed at once because of storage and computational constraints.…

机器学习 · 计算机科学 2014-03-20 Subhadip Mukherjee , Chandra Sekhar Seelamantula

Supervised dictionary learning (SDL) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. The goal of SDL is to learn a…

机器学习 · 统计学 2022-06-15 Joowon Lee , Hanbaek Lyu , Weixin Yao

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

机器学习 · 计算机科学 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

Online optimization has emerged as powerful tool in large scale optimization. In this pa- per, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization…

机器学习 · 计算机科学 2013-07-11 Huahua Wang , Arindam Banerjee

Continual Learning (CL) aims to incrementally acquire new knowledge while mitigating catastrophic forgetting. Within this setting, Online Continual Learning (OCL) focuses on updating models promptly and incrementally from single or small…

机器学习 · 计算机科学 2025-12-19 Giovanni Donghi , Luca Pasa , Daniele Zambon , Cesare Alippi , Nicolò Navarin

Extremely large reconfigurable intelligent surface (XL-RIS) is emerging as a promising key technology for 6G systems. To exploit XL-RIS's full potential, accurate channel estimation is essential. This paper investigates channel estimation…

信号处理 · 电气工程与系统科学 2024-09-26 Peicong Zheng , Xuantao Lyu , Ye Wang , Yi Gong

Online multi-task learning (OMTL) enhances streaming data processing by leveraging the inherent relations among multiple tasks. It can be described as an optimization problem in which a single loss function is defined for multiple tasks.…

机器学习 · 计算机科学 2024-11-12 Ruiyu Li , Peilin Zhao , Guangxia Li , Zhiqiang Xu , Xuewei Li

A new method is proposed in this paper to learn overcomplete dictionary from training data samples. Differing from the current methods that enforce similar sparsity constraint on each of the input samples, the proposed method attempts to…

数据结构与算法 · 计算机科学 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

Convolutional Dictionary Learning (CDL) has emerged as a powerful approach for signal representation by learning translation-invariant features through convolution operations. While existing CDL methods are predominantly designed and used…

信号处理 · 电气工程与系统科学 2025-05-22 Hao Chen , Dayuan Tan

Both the Dictionary Learning (DL) and Convolutional Neural Networks (CNN) are powerful image representation learning systems based on different mechanisms and principles, however whether we can seamlessly integrate them to improve the…

计算机视觉与模式识别 · 计算机科学 2020-01-16 Zhao Zhang , Yulin Sun , Yang Wang , Zhengjun Zha , Shuicheng Yan , Meng Wang

Joint clustering and feature learning methods have shown remarkable performance in unsupervised representation learning. However, the training schedule alternating between feature clustering and network parameters update leads to unstable…

计算机视觉与模式识别 · 计算机科学 2020-06-19 Xiaohang Zhan , Jiahao Xie , Ziwei Liu , Yew Soon Ong , Chen Change Loy