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The interdiction problem arises in a variety of areas including military logistics, infectious disease control, and counter-terrorism. In the typical formulation of network interdiction, the task of the interdictor is to find a set of edges…

离散数学 · 计算机科学 2009-03-03 Alexander Gutfraind , Aric Hagberg , Feng Pan

The classical setting of optimal control theory assumes full knowledge of the process dynamics and the costs associated with every control strategy. The problem becomes much harder if the controller only knows a finite set of possible…

最优化与控制 · 数学 2019-08-27 Marc Aurèle Gilles , Alexander Vladimirsky

Shortest path network interdiction is a combinatorial optimization problem on an activity network arising in a number of important security-related applications. It is classically formulated as a bilevel maximin problem representing an…

最优化与控制 · 数学 2010-09-06 Alexander Gutfraind , Aric A. Hagberg , David Izraelevitz , Feng Pan

In network interdiction problems, evaders (e.g., hostile agents or data packets) may be moving through a network towards targets and we wish to choose locations for sensors in order to intercept the evaders before they reach their…

社会与信息网络 · 计算机科学 2011-08-04 Matthew P. Johnson , Alexander Gutfraind

We consider the problem of designing a network of minimum cost while satisfying a prescribed survivability criterion. The survivability criterion requires that a feasible flow must still exists (i.e. all demands can be satisfied without…

最优化与控制 · 数学 2011-09-09 Richard Chen , Amy Cohn , Ali Pinar

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

Bandit learning is characterized by the tension between long-term exploration and short-term exploitation. However, as has recently been noted, in settings in which the choices of the learning algorithm correspond to important decisions…

机器学习 · 计算机科学 2018-01-11 Sampath Kannan , Jamie Morgenstern , Aaron Roth , Bo Waggoner , Zhiwei Steven Wu

Motivated by applications where impatience is pervasive and evaluation times are uncertain, we study a selection model where options may expire at an unknown point in time and evaluation times are stochastic. Initially, the decision-maker…

最优化与控制 · 数学 2026-02-05 Yihua Xu , Rohan Ghuge , Sebastian Perez-Salazar

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

统计理论 · 数学 2024-02-14 Xiaoou Li , Hongru Zhao

Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be associative and commutative. The two algorithms are…

分布式、并行与集群计算 · 计算机科学 2013-10-18 Bradley R. Lowery , Julien Langou

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

The interdiction of escaping adversaries in urban networks is a critical security challenge. State-of-the-art game-theoretic models, such as the Escape Interdiction Game (EIG), provide comprehensive frameworks but assume a highly dynamic…

数据结构与算法 · 计算机科学 2025-10-07 Sukanya Samanta , Manohar Reddy

We consider the escape interdiction problem in a transportation network. In the absence of traffic in the network, the criminal/attacker tries to escape from the city using any of the shortest paths from the crime scene to any randomly…

物理与社会 · 物理学 2023-05-25 Sukanya Samanta , Jatin Uniyal , Goutam Sen , Soumya Kanti Ghosh

We provide the first oracle efficient sublinear regret algorithms for adversarial versions of the contextual bandit problem. In this problem, the learner repeatedly makes an action on the basis of a context and receives reward for the…

机器学习 · 计算机科学 2016-02-09 Vasilis Syrgkanis , Akshay Krishnamurthy , Robert E. Schapire

This paper investigates the application of game-theoretic principles combined with advanced Kalman filtering techniques to enhance maritime target tracking systems. Specifically, the paper presents a two-player, imperfect information,…

计算机科学与博弈论 · 计算机科学 2024-10-18 Daniel Leal , Ngoc Hung Nguyen , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan

Sequence models are a critical component of modern NLP systems, but their predictions are difficult to explain. We consider model explanations though rationales, subsets of context that can explain individual model predictions. We find…

计算与语言 · 计算机科学 2021-11-19 Keyon Vafa , Yuntian Deng , David M. Blei , Alexander M. Rush

This paper examines the degree to which an evader seeking a safe and efficient path to a target location can benefit from increasing levels of knowledge regarding one or more range-limited pursuers seeking to intercept it. Unlike previous…

最优化与控制 · 数学 2025-12-23 Thomas Chapman , Alexander Von Moll , Isaac E. Weintraub

The design of algorithms or protocols that are able to align the goals of the planner with the selfish interests of the agents involved in these protocols is of paramount importance in almost every decentralized setting (such as, computer…

计算机科学与博弈论 · 计算机科学 2023-02-28 Diodato Ferraioli , Carmine Ventre

The evader's dominance region is an important concept and the foundation of geometric methods for pursuit-evasion games. This article mainly reveals the relevant properties of the evader's dominance region, especially in non-anticipative…

最优化与控制 · 数学 2025-02-06 Weiwen Huang , Li Liang , Ningsheng Xu , Fang Deng

This paper presents a novel control strategy to herd a group of non-cooperative evaders by means of a team of robotic herders. In herding problems, the motion of the evaders is typically determined by strong nonlinear reactive dynamics,…

系统与控制 · 电气工程与系统科学 2022-06-14 Eduardo Sebastián , Eduardo Montijano
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