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The greedy algorithm for monotone submodular function maximization subject to cardinality constraint is guaranteed to approximate the optimal solution to within a $1-1/e$ factor. Although it is well known that this guarantee is essentially…

数据结构与算法 · 计算机科学 2022-02-15 Aviad Rubinstein , Junyao Zhao

Supply chain management has been concentrated on productive ways to manage flows through a sophisticated vendor, manufacturer, and consumer networks for decades. Recently, energy and material rates have been greatly consumed to improve the…

计算机与社会 · 计算机科学 2020-10-12 Ahmad Sobhan Abir , Ishtiaq Ahmed Bhuiyan , Mohammad Arani , Md Mashum Billal

This paper develops an online algorithm to solve a time-varying optimization problem with an objective that comprises a known time-varying cost and an unknown function. This problem structure arises in a number of engineering systems and…

最优化与控制 · 数学 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese , Julien Monteil , Andrey Bernstein

Originating in the artificial intelligence literature, optimistic planning (OP) is an algorithm that generates near-optimal control inputs for generic nonlinear discrete-time systems whose input set is finite. This technique is therefore…

最优化与控制 · 数学 2019-08-06 Mathieu Granzotto , Romain Postoyan , Lucian Buşoniu , Dragan Nešić , Jamal Daafouz

Learning-augmented algorithms have been attracting increasing interest, but have only recently been considered in the setting of explorable uncertainty where precise values of uncertain input elements can be obtained by a query and the goal…

数据结构与算法 · 计算机科学 2023-05-17 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

We study a linear quadratic regulation problem with a constraint where the control input can be nonzero only at a limited number of times. Given that this constraint leads to a combinational optimization problem, we adopt a greedy method to…

系统与控制 · 电气工程与系统科学 2024-03-26 Shumpei Nishida , Kunihisa Okano

In the classic online graph balancing problem, edges arrive sequentially and must be oriented immediately upon arrival, to minimize the maximum in-degree. For adversarial arrivals, the natural greedy algorithm is $O(\log n)$-competitive,…

数据结构与算法 · 计算机科学 2026-04-07 Nikhil Bansal , Milind Prabhu , Sahil Singla , Siddharth M. Sundaram

Optimal experimental design (OED) concerns itself with identifying ideal methods of data collection, e.g.~via sensor placement. The \emph{greedy algorithm}, that is, placing one sensor at a time, in an iteratively optimal manner, stands as…

最优化与控制 · 数学 2025-10-15 Christian Aarset

We study a pair of budget- and performance-constrained weak-submodular maximization problems. For computational efficiency, we explore the use of stochastic greedy algorithms which limit the search space via random sampling instead of the…

最优化与控制 · 数学 2026-03-06 Ege C. Kaya , Michael Hibbard , Takashi Tanaka , Ufuk Topcu , Abolfazl Hashemi

In real-world problems, uncertainties (e.g., errors in the measurement, precision errors) often lead to poor performance of numerical algorithms when not explicitly taken into account. This is also the case for control problems, where…

最优化与控制 · 数学 2020-12-18 Carlos Ignacio Hernández Castellanos , Sina Ober-Blöbaum , Sebastian Peitz

Designing a cost-effective sensor placement plan for sewage surveillance is a crucial task because it allows cost-effective early pandemic outbreak detection as supplementation for individual testing. However, this problem is…

计算机与社会 · 计算机科学 2024-09-26 Sunyu Wang , Yutong Xia , Huanfa Chen , Xinyi Tong , Yulun Zhou

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

This paper proposes a new robust optimization (RO) formulation namely the RO under objective functional uncertainty (ObRO). The ObRO adopts a min-max structure where the inner problem finds the worst-case objective function in a continuous…

最优化与控制 · 数学 2026-05-19 Yue Song , Yuxi Lu , Gang Li , Kairui Feng , Qi Liu

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

计算机科学与博弈论 · 计算机科学 2016-08-03 Elliot Anshelevich , Shreyas Sekar

We investigate the profitability and risk of energy storage arbitrage in electricity markets under price uncertainty, exploring both robust and chance-constrained optimization approaches. We analyze various uncertainty representations,…

最优化与控制 · 数学 2025-01-16 Yiqian Wu , Bolun Xu , James Anderson

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

离散数学 · 计算机科学 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

This work addresses the problem of exploration in an unknown environment. For linear dynamical systems, we use an experimental design framework and introduce an online greedy policy where the control maximizes the information of the next…

机器学习 · 统计学 2023-04-27 Matthieu Blanke , Marc Lelarge

We study a general model on reusable resource allocation under model uncertainty. A heterogeneous population of customers arrive at the decision maker's (DM's) platform sequentially. Upon observing a customer's type, the DM selects an…

最优化与控制 · 数学 2022-12-07 Xilin Zhang , Wang Chi Cheung

As the penetration level of transmission-scale time-intermittent renewable generation resources increases, control of flexible resources will become important to mitigating the fluctuations due to these new renewable resources. Flexible…

最优化与控制 · 数学 2013-09-12 Krishnamurthy Dvijotham , Scott Backhaus , Misha Chertkov

The Coin Change problem, also known as the Change-Making problem, is a well-studied combinatorial optimization problem, which involves minimizing the number of coins needed to make a specific change amount using a given set of coin…

计算复杂性 · 计算机科学 2024-11-28 Shreya Gupta , Boyang Huang , Russell Impagliazzo