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We study stochastic combinatorial optimization problems where the objective is to minimize the expected maximum load (a.k.a.\ the makespan). In this framework, we have a set of $n$ tasks and $m$ resources, where each task $j$ uses some…

数据结构与算法 · 计算机科学 2021-06-25 Anupam Gupta , Amit Kumar , Viswanath Nagarajan , Xiangkun Shen

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

系统与控制 · 电气工程与系统科学 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

最优化与控制 · 数学 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

We consider the scenario of $n$ sensor nodes observing streams of data. The nodes are connected to a central server whose task it is to compute some function over all data items observed by the nodes. In our case, there exists a total order…

数据结构与算法 · 计算机科学 2017-09-22 Felix Biermeier , Björn Feldkord , Manuel Malatyali , Friedhelm Meyer auf der Heide

We address the problem of estimating a high-dimensional matrix from linear measurements, with a focus on designing optimal rank-adaptive algorithms. These algorithms infer the matrix by estimating its singular values and the corresponding…

信息论 · 计算机科学 2026-05-12 Frédéric Zheng , Yassir Jedra , Alexandre Proutiere

Optimal queueing control of multi-hop networks remains a challenging problem even in the simplest scenarios. In this paper, we consider a two-hop half-duplex relaying system with random channel connectivity. The relay is equipped with a…

信息论 · 计算机科学 2015-10-28 Bo Zhou , Ying Cui , Meixia Tao

The paper is devoted to introducing an approach to compute the approximate minimum time function of control problems which is based on reachable set approximation and uses arithmetic operations for convex compact sets. In particular, in…

最优化与控制 · 数学 2018-05-08 Robert Baier , Thuy T. T. Le

We present a dependent randomized rounding scheme, which rounds fractional solutions to integral solutions satisfying certain hard constraints on the output while preserving Chernoff-like concentration properties. In contrast to previous…

数据结构与算法 · 计算机科学 2025-04-29 Lars Rohwedder , Arman Rouhani , Leo Wennmann

Explorable heap selection is the problem of selecting the $n$th smallest value in a binary heap. The key values can only be accessed by traversing through the underlying infinite binary tree, and the complexity of the algorithm is measured…

数据结构与算法 · 计算机科学 2024-09-12 Sander Borst , Daniel Dadush , Sophie Huiberts , Danish Kashaev

In this paper, we study an optimal output consensus problem for a multi-agent network with agents in the form of multi-input multi-output minimum-phase dynamics. Optimal output consensus can be taken as an extended version of the existing…

最优化与控制 · 数学 2018-08-22 Yutao Tang , Zhenhua Deng , Yiguang Hong

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several…

最优化与控制 · 数学 2024-05-03 David Fischer , Péter Györgyi

Distributed computing systems often need to consider the scheduling problem involving a collection of highly dependent data-processing tasks that must work in concert to achieve mission-critical objectives. This paper considers the…

分布式、并行与集群计算 · 计算机科学 2021-04-08 Vaneet Aggarwal , Tian Lan , Suresh Subramaniam , Maotong Xu

We study set selection problems where the weights are uncertain. Instead of its exact weight, only an uncertainty interval containing its true weight is available for each element. In some cases, some solutions are universally optimal;…

数据结构与算法 · 计算机科学 2024-04-29 Christoph Dürr , Arturo Merino , José A. Soto , José Verschae

Thresholding based iterative algorithms have the trade-off between effectiveness and optimality. Some are effective but involving sub-matrix inversions in every step of iterations. For systems of large sizes, such algorithms can be…

信息论 · 计算机科学 2017-11-08 Zhanjie Song , Shidong Li , Ningning Han

In this paper, we consider an adaptive approach to address optimization problems with uncertain cost parameters. Here, the decision maker selects an initial decision, observes the realization of the uncertain cost parameters, and then is…

计算复杂性 · 计算机科学 2013-12-17 Ebrahim Nasrabadi , James B. Orlin

We consider a new problem of designing a network with small $s$-$t$ effective resistance. In this problem, we are given an undirected graph $G=(V,E)$, two designated vertices $s,t \in V$, and a budget $k$. The goal is to choose a subgraph…

数据结构与算法 · 计算机科学 2019-04-09 Pak Hay Chan , Lap Chi Lau , Aaron Schild , Sam Chiu-wai Wong , Hong Zhou

Shallow cuttings are a fundamental tool in computational geometry and spatial databases for solving offline and online range searching problems. For a set $P$ of $N$ points in 3-D, at SODA'14, Afshani and Tsakalidis designed an optimal…

计算几何 · 计算机科学 2026-03-24 Yakov Nekrich , Saladi Rahul

Recent focus on robustness to adversarial attacks for deep neural networks produced a large variety of algorithms for training robust models. Most of the effective algorithms involve solving the min-max optimization problem for training…

机器学习 · 计算机科学 2021-03-03 Yasaman Esfandiari , Aditya Balu , Keivan Ebrahimi , Umesh Vaidya , Nicola Elia , Soumik Sarkar

Transportation networks frequently employ hub-and-spoke network architectures to route flows between many origin and destination pairs. Hub facilities work as switching points for flows in large networks. In this study, we deal with a…

离散数学 · 计算机科学 2018-03-19 Yuko Kuroki , Tomomi Matsui

In this work, we study the classic submodular maximization problem under knapsack constraints and beyond. We first present an $(7/16-\varepsilon)$-approximate algorithm for single knapsack constraint, which requires…

数据结构与算法 · 计算机科学 2020-12-22 Wenxin Li