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In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

信息论 · 计算机科学 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei

Within the statistical and machine learning literature, regularization techniques are often used to construct sparse (predictive) models. Most regularization strategies only work for data where all predictors are treated identically, such…

统计计算 · 统计学 2020-12-16 Sander Devriendt , Katrien Antonio , Tom Reynkens , Roel Verbelen

In this paper, we present new results on using orthogonal matching pursuit (OMP), to solve the sparse approximation problem over redundant dictionaries for complex cases (i.e., complex measurement vector, complex dictionary and complex…

信息论 · 计算机科学 2012-06-12 Rong Fan , Qun Wan , Yipeng Liu , Hui Chen , Xiao Zhang

This paper is concerned with the performance of Orthogonal Matching Pursuit (OMP) algorithms applied to a dictionary $\mathcal{D}$ in a Hilbert space $\mathcal{H}$. Given an element $f\in \mathcal{H}$, OMP generates a sequence of…

数值分析 · 数学 2015-06-17 Albert Cohen , Wolfgang Dahmen , Ronald DeVore

Motivated by recent work on stochastic gradient descent methods, we develop two stochastic variants of greedy algorithms for possibly non-convex optimization problems with sparsity constraints. We prove linear convergence in expectation to…

数值分析 · 数学 2014-07-02 Nam Nguyen , Deanna Needell , Tina Woolf

Offline Reinforcement Learning (RL) faces distributional shift and unreliable value estimation, especially for out-of-distribution (OOD) actions. To address this, existing uncertainty-based methods penalize the value function with…

机器学习 · 计算机科学 2024-04-10 Xudong Yu , Chenjia Bai , Hongyi Guo , Changhong Wang , Zhen Wang

The application of reinforcement learning (RL) to dynamic resource allocation in optical networks has been the focus of intense research activity in recent years, with almost 100 peer-reviewed papers. We present a review of progress in the…

网络与互联网体系结构 · 计算机科学 2025-04-23 Michael Doherty , Robin Matzner , Rasoul Sadeghi , Polina Bayvel , Alejandra Beghelli

Online mirror descent (OMD) is a fundamental algorithmic paradigm that underlies many algorithms in optimization, machine learning and sequential decision-making. The OMD iterates are defined as solutions to optimization subproblems which,…

机器学习 · 计算机科学 2025-12-01 Ofir Schlisselberg , Uri Sherman , Tomer Koren , Yishay Mansour

The de-facto standard approach of promoting sparsity by means of $\ell_1$-regularization becomes ineffective in the presence of simplex constraints, i.e.,~the target is known to have non-negative entries summing up to a given constant. The…

统计方法学 · 统计学 2016-05-04 Ping Li , Syama Sundar Rangapuram , Martin Slawski

Parsimony, including sparsity and low rank, has been shown to successfully model data in numerous machine learning and signal processing tasks. Traditionally, such modeling approaches rely on an iterative algorithm that minimizes an…

机器学习 · 计算机科学 2012-12-18 Pablo Sprechmann , Alex M. Bronstein , Guillermo Sapiro

Orthogonal Matching Pursuit (OMP) plays an important role in data science and its applications such as sparse subspace clustering and image processing. However, the existing OMP-based approaches lack of data adaptiveness so that the data…

机器学习 · 计算机科学 2019-09-02 Jiaqiyu Zhan , Zhiqiang Bai , Yuesheng Zhu

Multi-goal reinforcement learning (RL) aims to qualify the agent to accomplish multi-goal tasks, which is of great importance in learning scalable robotic manipulation skills. However, reward engineering always requires strenuous efforts in…

机器人学 · 计算机科学 2021-09-27 Deyu Yang , Hanbo Zhang , Xuguang Lan , Jishiyu Ding

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. While naturally cast as a combinatorial optimization problem, variable or feature selection admits a convex relaxation through the…

机器学习 · 计算机科学 2012-04-23 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

Learning to optimize is an approach that leverages training data to accelerate the solution of optimization problems. Many approaches use unrolling to parametrize the update step and learn optimal parameters. Although L2O has shown…

最优化与控制 · 数学 2025-07-15 Patrick Fahy , Mohammad Golbabaee , Matthias J. Ehrhardt

Online map matching is a fundamental problem in location-based services, aiming to incrementally match trajectory data step-by-step onto a road network. However, existing methods fail to meet the needs for efficiency, robustness, and…

机器学习 · 计算机科学 2025-03-21 Minxiao Chen , Haitao Yuan , Nan Jiang , Zhihan Zheng , Sai Wu , Ao Zhou , Shangguang Wang

Greedy sparse recovery has become a popular tool in many applications, although its complexity is still prohibitive when large sparsifying dictionaries or sensing matrices have to be exploited. In this paper, we formulate first a new class…

信号处理 · 电气工程与系统科学 2022-11-01 Joan Palacios , Nuria González-Prelcic

We propose a novel sparse preference learning/ranking algorithm. Our algorithm approximates the true utility function by a weighted sum of basis functions using the squared loss on pairs of data points, and is a generalization of the kernel…

机器学习 · 统计学 2013-07-04 Evgeni Tsivtsivadze , Tom Heskes

Modern LiDAR-SLAM (L-SLAM) systems have shown excellent results in large-scale, real-world scenarios. However, they commonly have a high latency due to the expensive data association and nonlinear optimization. This paper demonstrates that…

机器人学 · 计算机科学 2021-03-25 Jianhao Jiao , Yilong Zhu , Haoyang Ye , Huaiyang Huang , Peng Yun , Linxin Jiang , Lujia Wang , Ming Liu

Inverse problems arise in a wide spectrum of applications in fields ranging from engineering to scientific computation. Connected with the rise of interest in inverse problems is the development and analysis of regularization methods, such…

数值分析 · 数学 2025-05-12 Abinash Nayak

This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

机器学习 · 计算机科学 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed