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We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algorithms. To this end, we first extend the greedy control…

最优化与控制 · 数学 2023-07-31 Hendrik Kleikamp , Martin Lazar , Cesare Molinari

Quantum key distribution (QKD) allows secret key exchange between two users with unconditional security. For QKD to be widely deployed, low cost and compactness are crucial requirements alongside high performance. Currently, the majority of…

With the rising importance of large-scale network control, the problem of actuator placement has received increasing attention. Our goal in this paper is to find a set of actuators minimizing the metric that measures the average energy…

最优化与控制 · 数学 2021-07-14 Baiwei Guo , Orcun Karaca , Tyler Summers , Maryam Kamgarpour

Often times, in many design problems, there is a need to select a small set of informative or representative elements from a large ground set of entities in an optimal fashion. Submodular optimization that provides for a formal way to solve…

机器学习 · 计算机科学 2018-10-09 Arun V Sathanur

We consider a node-monitor pair, where the node's state varies with time. The monitor needs to track the node's state at all times; however, there is a fixed cost for each state query. So the monitor may instead predict the state using…

机器学习 · 计算机科学 2025-10-28 Kumar Saurav , Ness B. Shroff , Yingbin Liang

In this letter, we propose a modulation classification algorithm which is based on the received signal's amplitude for coherent optical receivers. The proposed algorithm classifies the modulation format from several possible candidates by…

信号处理 · 电气工程与系统科学 2018-01-08 Xiang Lin , Yahia A. Eldemerdash , Octavia A. Dobre , Shu Zhang , Cheng Li

MapReduce has become the de facto standard model for designing distributed algorithms to process big data on a cluster. There has been considerable research on designing efficient MapReduce algorithms for clustering, graph optimization, and…

数据结构与算法 · 计算机科学 2018-06-19 Nicholas J. A. Harvey , Christopher Liaw , Paul Liu

We study the problem of maximizing a submodular function, subject to a cardinality constraint, with a set of agents communicating over a connected graph. We propose a distributed greedy algorithm that allows all the agents to converge to a…

最优化与控制 · 数学 2020-09-29 Lintao Ye , Shreyas Sundaram

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

数值分析 · 数学 2025-02-20 V. Temlyakov

Consider a channel with a given input distribution. Our aim is to degrade it to a channel with at most L output letters. One such degradation method is the so called "greedy-merge" algorithm. We derive an upper bound on the reduction in…

信息论 · 计算机科学 2017-05-09 Assaf Kartowsky , Ido Tal

The approximation of a discrete probability distribution $\mathbf{t}$ by an $M$-type distribution $\mathbf{p}$ is considered. The approximation error is measured by the informational divergence $\mathbb{D}(\mathbf{t}\Vert\mathbf{p})$, which…

信息论 · 计算机科学 2016-07-28 Bernhard C. Geiger , Georg Böcherer

In this paper, we propose a radio-based passive target tracking algorithm using multipath measurements, including the angle of arrival and relative distance. We focus on a scenario in which a mobile receiver continuously receives radio…

信号处理 · 电气工程与系统科学 2024-11-08 Ke Xu , Rui Zhang , He , Chen

Greedy Pursuits are very popular in Compressed Sensing for sparse signal recovery. Though many of the Greedy Pursuits possess elegant theoretical guarantees for performance, it is well known that their performance depends on the statistical…

应用统计 · 统计学 2012-06-20 Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

We propose a scheme in which an arbitrary incidence can be made perfectly reflected/transmitted if a phase setup is adjusted under a specific condition. We analyze the intracavity field variation as well as the output field with changing…

量子物理 · 物理学 2018-03-20 Miaodi Guo , Xuemei Su

Quantum information theory predicts that communication technology can be enhanced by using quantum signals to transfer classical bits. In order to fulfill this promise, the message-carrying signals must interact coherently at the decoding…

量子物理 · 物理学 2023-12-22 Matteo Rosati , Albert Solana

Augmenting a train of bright phase-modulated laser-light pulses of a coherent communications system with infinitesimally small quantum photons per pulse -- entangled across several time bins -- prepared by splitting squeezed light in a…

量子物理 · 物理学 2025-11-04 Saikat Guha , Tiju Cherian John , Zihao Gong , Prithwish Basu

We present a novel stagewise strategy for improving greedy algorithms for sparse recovery. We demonstrate its efficiency both for synthesis and analysis sparse priors, where in both cases we demonstrate its computational efficiency and…

数值分析 · 数学 2020-12-02 Guy Leibovitz , Raja Giryes

We consider a class of distributed submodular maximization problems in which each agent must choose a single strategy from its strategy set. The global objective is to maximize a submodular function of the strategies chosen by each agent.…

数据结构与算法 · 计算机科学 2017-06-14 Bahman Gharesifard , Stephen L. Smith

Active perception strategies enable an agent to selectively gather information in a way to improve its performance. In applications in which the agent does not have prior knowledge about the available information sources, it is crucial to…

人工智能 · 计算机科学 2019-10-08 Mahsa Ghasemi , Ufuk Topcu

A deterministic approximation algorithm is presented for the maximization of non-monotone submodular functions over a ground set of size $n$ subject to cardinality constraint $k$; the algorithm is based upon the idea of interlacing two…

数据结构与算法 · 计算机科学 2019-10-28 Alan Kuhnle