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We present a computationally efficient algorithm for stable numerical differentiation from noisy, uniformly-sampled data on a bounded interval. The method combines multi-interval Fourier extension approximations with an adaptive domain…

数值分析 · 数学 2025-08-29 Zhenyu Zhao , Yanfei Wang , Xinran Liu

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

斑图形成与孤子 · 物理学 2009-11-07 P. M. Lushnikov

This paper studies distributed continuous-time optimization for time-varying quadratic cost functions with uncertain parameters. We first propose a centralized adaptive optimization algorithm using partial information of the cost function.…

系统与控制 · 电气工程与系统科学 2024-07-30 Liangze Jiang , Zheng-Guang Wu , Lei Wang

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

机器学习 · 计算机科学 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

This technical note studies the distributed average tracking problem for multiple time-varying signals with general linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In distributed fashion, a…

系统与控制 · 计算机科学 2013-12-31 Yu Zhao , Zhisheng Duan , Zhongkui Li

We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

最优化与控制 · 数学 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

In networked control systems, communication resource constraints often necessitate the use of \emph{sparse} control input vectors. A prototypical problem is how to ensure controllability of a linear dynamical system when only a limited…

系统与控制 · 电气工程与系统科学 2025-06-24 Krishna Praveen V. S. Kondapi , Chandrasekhar Sriram , Geethu Joseph , Chandra R. Murthy

This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By…

系统与控制 · 电气工程与系统科学 2024-09-10 Zeinab Ebrahimi , Mohammad Deghat

In this paper we present a theoretical analysis to understand sparse filtering, a recent and effective algorithm for unsupervised learning. The aim of this research is not to show whether or how well sparse filtering works, but to…

机器学习 · 计算机科学 2021-05-25 Fabio Massimo Zennaro , Ke Chen

The significant progress in constructing graph spanners that are sparse (small number of edges) or light (low total weight) has skipped spanners that are everywhere-sparse (small maximum degree). This disparity is in line with other network…

数据结构与算法 · 计算机科学 2012-05-02 Eden Chlamtac , Michael Dinitz , Robert Krauthgamer

This paper presents a novel dynamic coverage control algorithm allowing a group of robots to track an optimal-deployment configuration for arbitrary time-varying density functions. Building on singular perturbation theory, the proposed…

最优化与控制 · 数学 2025-12-03 Brandon Bao , Jorge Cortes , Sonia Martinez

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

数据结构与算法 · 计算机科学 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

We study a distributed framework for stochastic optimization which is inspired by models of collective motion found in nature (e.g., swarming) with mild communication requirements. Specifically, we analyze a scheme in which each one of $N >…

最优化与控制 · 数学 2018-08-08 Shi Pu , Alfredo Garcia

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

信息论 · 计算机科学 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

分布式、并行与集群计算 · 计算机科学 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

数值分析 · 数学 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

In this paper, a new method is proposed for sparse PCA based on the recursive divide-and-conquer methodology. The main idea is to separate the original sparse PCA problem into a series of much simpler sub-problems, each having a closed-form…

计算机视觉与模式识别 · 计算机科学 2012-12-03 Qian Zhao , Deyu Meng , Zongben Xu

In this paper, we focus on the problem of data sharing over a wireless computer network (i.e., a wireless grid). Given a set of available data, we present a distributed algorithm which operates over a dynamically changing network, and…

系统与控制 · 电气工程与系统科学 2022-07-19 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

We give the first fully dynamic algorithm which maintains a $(1-\epsilon)$-approximate densest subgraph in worst-case time $\text{poly}(\log n, \epsilon^{-1})$ per update. Dense subgraph discovery is an important primitive for many…

数据结构与算法 · 计算机科学 2020-03-12 Saurabh Sawlani , Junxing Wang

Decentralized sparsity learning has attracted a significant amount of attention recently due to its rapidly growing applications. To obtain the robust and sparse estimators, a natural idea is to adopt the non-smooth median loss combined…

机器学习 · 统计学 2022-03-02 Weidong Liu , Xiaojun Mao , Xin Zhang