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Risk-sensitive control balances performance with resilience to unlikely events in uncertain systems. This paper introduces ergodic-risk criteria, which capture long-term cumulative risks through probabilistic limit theorems. By ensuring the…

Optimization and Control · Mathematics 2025-03-11 Shahriar Talebi , Na Li

Reinforcement learning (RL) has shown promise in solving various combinatorial optimization problems. However, conventional RL faces challenges when dealing with complex, real-world constraints, especially when action space feasibility is…

Machine Learning · Computer Science 2025-08-12 Jaike van Twiller , Yossiri Adulyasak , Erick Delage , Djordje Grbic , Rune Møller Jensen

This paper considers the power allocation of a single-link wireless communication with joint energy harvesting and grid power supply. We formulate the problem as minimizing the grid power consumption with random energy and data arrival, and…

Information Theory · Computer Science 2013-03-18 Jie Gong , Sheng Zhou , Zhisheng Niu

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

Data Structures and Algorithms · Computer Science 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

This paper investigates the optimal harvesting strategy for a single species living in random environments whose growth is given by a regime-switching diffusion. Harvesting acts as a (stochastic) control on the size of the population. The…

Optimization and Control · Mathematics 2016-08-02 Qingshuo Song , Richard Stockbridge , Chao Zhu

Mobile-edge computing (MEC) has recently emerged as a cost-effective paradigm to enhance the computing capability of hardware-constrained wireless devices (WDs). In this paper, we first consider a two-user MEC network, where each WD has a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Jia Yan , Suzhi Bi , Ying-Jun Angela Zhang , Meixia Tao

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

Artificial Intelligence · Computer Science 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

In this paper, we propose a novel resource management scheme that jointly allocates the transmit power and computational resources in a centralized radio access network architecture. The network comprises a set of computing nodes to which…

Networking and Internet Architecture · Computer Science 2021-06-24 Mohsen Tajallifar , Sina Ebrahimi , Mohammad Reza Javan , Nader Mokari , Luca Chiaraviglio

This paper proposes a safety analysis method that facilitates a tunable balance between the worst-case and risk-neutral perspectives. First, we define a risk-sensitive safe set to specify the degree of safety attained by a stochastic…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Margaret P. Chapman , Jonathan P. Lacotte , Kevin M. Smith , Insoon Yang , Yuxi Han , Marco Pavone , Claire J. Tomlin

The problem of resource allocation is studied for a two-user fading orthogonal multiaccess relay channel (MARC) where both users (sources) communicate with a destination in the presence of a relay. A half-duplex relay is considered that…

Information Theory · Computer Science 2016-11-17 Lalitha Sankar , Yingbin Liang , H. Vincent Poor , Narayan B. Mandayam

Conditional Value-at-Risk (CVaR) is a widely used risk metric in applications such as finance. We derive concentration bounds for CVaR estimates, considering separately the cases of light-tailed and heavy-tailed distributions. In the…

Machine Learning · Computer Science 2019-08-27 Prashanth L. A. , Krishna Jagannathan , Ravi Kumar Kolla

We propose a novel stochastic radio resource allocation strategy that achieves long-term fairness considering backhaul and air-interface capacity limitations. The base station is considered to be only powered with a finite battery that is…

Information Theory · Computer Science 2015-01-16 Javier Rubio , Olga Muñoz , Antonio Pascual-Iserte

This paper considers the design of optimal resource allocation policies in wireless communication systems which are generically modeled as a functional optimization problem with stochastic constraints. These optimization problems have the…

Machine Learning · Computer Science 2022-02-08 Mark Eisen , Clark Zhang , Luiz F. O. Chamon , Daniel D. Lee , Alejandro Ribeiro

We study a resource allocation problem over time, where a finite (random) resource needs to be distributed among a set of users at each time instant. Shortfalls in the resource allocated result in user dissatisfaction, which we model as an…

Optimization and Control · Mathematics 2023-12-05 Akhil Bhimaraju , Avhishek Chatterjee , Lav R. Varshney

This paper considers a general stochastic resource allocation problem that arises widely in wireless networks, cognitive radio, networks, smart-grid communications, and cross-layer design. The problem formulation involves expectations with…

Optimization and Control · Mathematics 2017-12-12 Amrit Singh Bedi , Ketan Rajawat

Standard on-policy reinforcement learning relies on heuristic clipping to enforce trust regions, but this mechanism imposes a severe cost by indiscriminately truncating high-return yet high-divergence updates. We demonstrate that explicitly…

Machine Learning · Computer Science 2026-05-27 Yu Luo , Shuo Han , Yihan Hu , Lei Lv , Huaping Liu , Fuchun Sun , Jianye Hao , Dong Li

Motivated by applications such as cloud platforms allocating GPUs to users or governments deploying mobile health units across competing regions, we study the dynamic allocation of a reusable resource to strategic agents with private…

Computer Science and Game Theory · Computer Science 2025-07-15 Yan Dai , Negin Golrezaei , Patrick Jaillet

The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). As important properties, the EVaR is strongly monotone over its domain and…

Portfolio Management · Quantitative Finance 2020-04-17 Amir Ahmadi-Javid , Malihe Fallah-Tafti

In high-stakes machine learning applications, it is crucial to not only perform well on average, but also when restricted to difficult examples. To address this, we consider the problem of training models in a risk-averse manner. We propose…

Machine Learning · Computer Science 2020-11-09 Sebastian Curi , Kfir. Y. Levy , Stefanie Jegelka , Andreas Krause

Recent financial disasters emphasised the need to investigate the consequence associated with the tail co-movements among institutions; episodes of contagion are frequently observed and increase the probability of large losses affecting…

Methodology · Statistics 2013-11-05 Mauro Bernardi , Ghislaine Gayraud , Lea Petrella
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