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In decentralized decision-making problems, agents choose their actions based on locally available information and knowledge about decision rules or strategies of other agents. We consider a three-node cascade network with an encoder, a…

Information Theory · Computer Science 2022-10-04 Rony Bou Rouphael , Maël Le trust

We introduce a stochastic principal-agent model. A principal and an agent interact in a stochastic environment, each privy to observations about the state not available to the other. The principal has the power of commitment, both to elicit…

Computer Science and Game Theory · Computer Science 2024-09-13 Jiarui Gan , Rupak Majumdar , Debmalya Mandal , Goran Radanovic

Active learning is increasingly adopted for expensive multi-objective combinatorial optimization problems, but it involves a challenging subset selection problem, optimizing the batch acquisition score that quantifies the goodness of a…

Machine Learning · Computer Science 2024-06-24 Deokjae Lee , Hyun Oh Song , Kyunghyun Cho

In this paper we investigate the problem of designing a spectrum scanning strategy to detect an intelligent Invader who wants to utilize spectrum undetected for his/her unapproved purposes. To deal with this problem we apply…

Computer Science and Game Theory · Computer Science 2013-10-29 Andrey Garnaev , Wade Trappe , Chun-Ta Kung

We consider a task of surveillance-evading path-planning in a continuous setting. An Evader strives to escape from a 2D domain while minimizing the risk of detection (and immediate capture). The probability of detection is path-dependent…

Machine Learning · Computer Science 2023-02-24 Dongping Qi , David Bindel , Alexander Vladimirsky

Bandit algorithms sequentially accumulate data using adaptive sampling policies, offering flexibility for real-world applications. However, excessive sampling can be costly, motivating the devolopment of early stopping methods and reliable…

Statistics Theory · Mathematics 2025-02-06 Zihan Cui

This paper addresses a complex parallel machine scheduling problem with jobs divided into operations and operations grouped in families. Non-anticipatory family setup times are held at the beginning of each batch, defined by the combination…

Optimization and Control · Mathematics 2021-02-12 Davi Mecler , Victor Abu-Marrul , Rafael Martinelli , Arild Hoff

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

We analyze the problem of learning a single user's preferences in an active learning setting, sequentially and adaptively querying the user over a finite time horizon. Learning is conducted via choice-based queries, where the user selects…

Machine Learning · Statistics 2017-02-27 Stephen N. Pallone , Peter I. Frazier , Shane G. Henderson

In this paper we prove the efficacy of a simple greedy algorithm for a finite horizon online resource allocation/matching problem, when the corresponding static planning linear program (SPP) exhibits a non-degeneracy condition called the…

Data Structures and Algorithms · Computer Science 2022-07-26 Varun Gupta

We consider the optimal duration allocation in a decision making queue. Decision making tasks arrive at a given rate to a human operator. The correctness of the decision made by human evolves as a sigmoidal function of the duration…

Optimization and Control · Mathematics 2010-10-11 Vaibhav Srivastava , Ruggero Carli , Francesco Bullo , Cédric Langbort

Early-Exit Deep Neural Networks enable adaptive inference by allowing prediction at intermediary layers, significantly reducing computational costs and latency. Most of the early exit strategies greedily exit a sample at an intermediary…

Machine Learning · Computer Science 2025-09-30 Divya Jyoti Bajpai , Manjesh Kumar Hanawal

Cybersecurity planning supports the selection of and implementation of security controls in resource-constrained settings to manage risk. Doing so requires considering adaptive adversaries with different levels of strategic sophistication…

Optimization and Control · Mathematics 2023-02-07 Eric B. DuBois , Ashley Peper , Laura A. Albert

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

Machine Learning · Computer Science 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

We study the sequential batch learning problem in linear contextual bandits with finite action sets, where the decision maker is constrained to split incoming individuals into (at most) a fixed number of batches and can only observe…

Machine Learning · Computer Science 2020-04-15 Yanjun Han , Zhengqing Zhou , Zhengyuan Zhou , Jose Blanchet , Peter W. Glynn , Yinyu Ye

Today we rely on networks that are created and maintained by smart devices. For such networks, there is no governing central authority but instead the network structure is shaped by the decisions of selfish intelligent agents. A key…

Computer Science and Game Theory · Computer Science 2025-01-20 Julian Berger , Tobias Friedrich , Pascal Lenzner , Paraskevi Machaira , Janosch Ruff

We propose and study a model of strategic network design and exploration where the hider, subject to a budget constraint restricting the number of links, chooses a connected network and the location of an object. Meanwhile, the seeker, not…

Theoretical Economics · Economics 2025-10-21 Francis Bloch , Bhaskar Dutta , Marcin Dziubiński

We consider the downlink of a cellular system and address the problem of multiuser scheduling with partial channel information. In our setting, the channel of each user is modeled by a three-state Markov chain. The scheduler indirectly…

Networking and Internet Architecture · Computer Science 2009-04-14 Sugumar Murugesan , Philip Schniter

We consider deterministic finite-horizon optimal control problems with a fixed initial state. We introduce an on-line policy iteration method, which, starting from a given policy, however obtained, generates a sequence of cost-improving…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Yuchao Li , Fei Chen , Yingke Li , Chuchu Fan , Dimitri Bertsekas

We consider a stochastic linear bandit problem in which the rewards are not only subject to random noise, but also adversarial attacks subject to a suitable budget $C$ (i.e., an upper bound on the sum of corruption magnitudes across the…

Machine Learning · Statistics 2020-10-29 Ilija Bogunovic , Arpan Losalka , Andreas Krause , Jonathan Scarlett