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We ask if it is possible to positively influence social behavior with no risk of unintentionally incentivizing pathological behavior. In network routing problems, if network traffic is composed of many individual agents, it is known that…

Computer Science and Game Theory · Computer Science 2019-11-25 Philip N. Brown , Jason R. Marden

We propose a model uncertainty approach to heavy traffic asymptotics that allows for a high level of uncertainty. That is, the uncertainty classes of underlying distributions accommodate disturbances that are of order 1 at the usual…

Probability · Mathematics 2022-04-13 Rami Atar , Eyal Castiel , Yonatan Shadmi

We consider the penalized distributionally robust optimization (DRO) problem with a closed, convex uncertainty set, a setting that encompasses learning using $f$-DRO and spectral/$L$-risk minimization. We present Drago, a stochastic…

Machine Learning · Statistics 2025-02-12 Ronak Mehta , Jelena Diakonikolas , Zaid Harchaoui

In this paper we design an incentive mechanism for heterogeneous Delay Tolerant Networks (DTNs). The proposed mechanism tackles a core problem of such systems: how to induce coordination of DTN relays in order to achieve a target…

Computer Science and Game Theory · Computer Science 2013-04-11 Habib B. A. Sidi , Wissam Chahin , Rachid El-Azouzi , Francesco De Pellegrini , Jean Walrand

We consider a distributionally robust formulation of stochastic optimization problems arising in statistical learning, where robustness is with respect to uncertainty in the underlying data distribution. Our formulation builds on…

Optimization and Control · Mathematics 2021-06-09 Mert Gürbüzbalaban , Andrzej Ruszczyński , Landi Zhu

The concepts of risk-aversion, chance-constrained optimization, and robust optimization have developed significantly over the last decade. Statistical learning community has also witnessed a rapid theoretical and applied growth by relying…

Optimization and Control · Mathematics 2022-10-25 Hamed Rahimian , Sanjay Mehrotra

We study a robust toll pricing problem where toll setters and users have different level of information when taking their decisions. Toll setters do not have full information on the costs of the network and rely on historical information…

Optimization and Control · Mathematics 2017-12-06 Trivikram Dokka , Alain B. Zemkoho , Sonali Sen Gupta , Fabrice T. Nobibon

Our goal is to train control policies that generalize well to unseen environments. Inspired by the Distributionally Robust Optimization (DRO) framework, we propose DRAGEN - Distributionally Robust policy learning via Adversarial Generation…

Robotics · Computer Science 2022-07-08 Allen Z. Ren , Anirudha Majumdar

Efficient resource allocation and scheduling algorithms are essential for various distributed applications, ranging from wireless networks and cloud computing platforms to autonomous multi-agent systems and swarm robotic networks. However,…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Mohammadreza Doostmohammadian , Alireza Aghasi

Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

Machine Learning · Computer Science 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

Optimization and Control · Mathematics 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

We study network design problems for nonlinear and nonconvex flow models without controllable elements under load scenario uncertainties, i.e., under uncertain injections and withdrawals. To this end, we apply the concept of adjustable…

Optimization and Control · Mathematics 2025-01-20 Johannes Thürauf , Julia Grübel , Martin Schmidt

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

Probability · Mathematics 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

We introduce an atomic congestion game with two types of agents, cars and trucks, to model the traffic flow on a road over various time intervals of the day. Cars maximize their utility by finding a trade-off between the time they choose to…

Computer Science and Game Theory · Computer Science 2014-01-22 Farhad Farokhi , Karl H. Johansson

Congestion pricing policies have emerged as promising traffic management tools to alleviate traffic congestion caused by travelers' selfish routing behaviors. The core principle behind deploying tolls is to impose monetary costs on…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Chih-Yuan Chiu

Toll optimization in a large-scale dynamic traffic network is typically characterized by an expensive-to-evaluate objective function. In this paper, we propose two toll level problems (TLPs) integrated with a large-scale simulation-based…

Optimization and Control · Mathematics 2020-09-24 Ziyuan Gu , S. Travis Waller , Meead Saberi

Distributionally robust optimization (DRO) has become a powerful framework for estimation under uncertainty, offering strong out-of-sample performance and principled regularization. In this paper, we propose a DRO-based method for linear…

Machine Learning · Statistics 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

Reinforcement learning (RL) constitutes a promising solution for alleviating the problem of traffic congestion. In particular, deep RL algorithms have been shown to produce adaptive traffic signal controllers that outperform conventional…

Machine Learning · Statistics 2019-07-23 Filipe Rodrigues , Carlos Lima Azevedo

Emerging edge computing paradigms enable heterogeneous devices to collaborate on complex computation applications. However, for arbitrary heterogeneous edge networks, delay-optimal forwarding and computation offloading remains an open…

Networking and Internet Architecture · Computer Science 2025-06-17 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

Optimization and Control · Mathematics 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine
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