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Optimal resource allocation in wireless systems still stands as a rather challenging task due to the inherent statistical characteristics of channel fading. On the one hand, minimax/outage-optimal policies are often overconservative and…

Signal Processing · Electrical Eng. & Systems 2024-01-31 Gokberk Yaylali , Dionysios S. Kalogerias

Modern wireless communication systems necessitate the development of cost-effective resource allocation strategies, while ensuring maximal system performance. While commonly realizable via efficient waterfilling schemes, ergodic-optimal…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Gokberk Yaylali , Dionysios S. Kalogerias

We address deterministic resource allocation in point-to-point multi-terminal AWGN channels without inter-terminal interference, with particular focus on optimizing quantile transmission rates for cell-edge terminal service. Classical…

Signal Processing · Electrical Eng. & Systems 2025-07-16 Gokberk Yaylali , Ahmad Ali Khan , Dionysios S. Kalogerias

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

Water-filling is the term for the classic solution to the problem of allocating constrained power to a set of parallel channels to maximize the total data-rate. It is used widely in practice, for example, for power allocation to…

Machine Learning · Computer Science 2011-09-12 Yi Gai , Bhaskar Krishnamachari

Conditional Value-at-Risk (CVaR) is a widely used risk-sensitive objective for learning under rare but high-impact losses, yet its statistical behavior under heavy-tailed data remains poorly understood. Unlike expectation-based risk, CVaR…

Machine Learning · Statistics 2026-02-23 Dinesh Karthik Mulumudi , Piyushi Manupriya , Gholamali Aminian , Anant Raj

Extreme weather events, like flooding, disrupt urban transportation networks by reducing speeds and capacities, and by closing roadways. These hazards create regime-dependent uncertainty in link performance and travel-time distribution…

Optimization and Control · Mathematics 2026-05-19 Wencheng Bao , Chrysafis Vogiatzis , Eleftheria Kontou

This paper introduces ergodic-risk criteria, which capture long-term cumulative risks associated with controlled Markov chains through probabilistic limit theorems--in contrast to existing methods that require assumptions of either finite…

Optimization and Control · Mathematics 2025-12-03 Shahriar Talebi , Na Li

We study risk-aware linear policy approximations for the optimal operation of an energy system with stochastic wind power, storage, and limited fuel. The resulting problem is a sequential decision-making problem with rolling forecasts. In…

Systems and Control · Electrical Eng. & Systems 2024-07-19 Thomas Mortimer , Robert Mieth

Microgrid operation is highly vulnerable to short-term load uncertainty, while conventional predict-then-optimize pipelines cannot fully align probabilistic forecasting quality with downstream robust scheduling performance. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Tingwei Cao , Yan Xu

Fine-tuning pre-trained diffusion and flow models to optimize downstream utilities is central to real-world deployment. Existing entropy-regularized methods primarily maximize expected reward, providing no mechanism to shape tail behavior.…

Machine Learning · Computer Science 2026-02-20 Zifan Wang , Riccardo De Santi , Xiaoyu Mo , Michael M. Zavlanos , Andreas Krause , Karl H. Johansson

The popularity of Conditional Value-at-Risk (CVaR), a risk functional from finance, has been growing in the control systems community due to its intuitive interpretation and axiomatic foundation. We consider a nonstandard optimal control…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Margaret P. Chapman , Michael Fauss , Kevin M. Smith

Given a finite collection of stochastic alternatives, we study the problem of sequentially allocating a fixed sampling budget to identify the optimal alternative with a high probability, where the optimal alternative is defined as the one…

Methodology · Statistics 2025-03-11 Dohyun Ahn , Taeho Kim

This paper determines the optimum secondary user power allocation and ergodic multicast rate of point-to-multipoint communication in a cognitive radio network in the presence of outage constraints for the primary users. Using tools from…

Information Theory · Computer Science 2019-10-29 Athira Subhash , Muralikrishnan Srinivasan , Sheetal Kalyani , Lajos Hanzo

We consider the problem of rate allocation in a fading Gaussian multiple-access channel (MAC) with fixed transmission powers. Our goal is to maximize a general concave utility function of transmission rates over the throughput capacity…

Information Theory · Computer Science 2008-10-08 Ali ParandehGheibi , Atilla Eryilmaz , Asuman Ozdaglar , Muriel Medard

We investigate energy-efficiency issues and resource allocation policies for time division multi-access (TDMA) over fading channels in the power-limited regime. Supposing that the channels are frequency-flat block-fading and transmitters…

Information Theory · Computer Science 2007-07-13 Xin Wang , Georgios B. Giannakis

Many problems in Reinforcement Learning (RL) seek an optimal policy with large discrete multidimensional yet unordered action spaces; these include problems in randomized allocation of resources such as placements of multiple security…

Machine Learning · Computer Science 2023-11-28 Changyu Chen , Ramesha Karunasena , Thanh Hong Nguyen , Arunesh Sinha , Pradeep Varakantham

We propose a decentralized stochastic control solution for the broadcast message dissemination problem in wireless ad hoc networks with slow fading channels. We formulate the control problem as a dynamic robust game which is well justified…

Networking and Internet Architecture · Computer Science 2016-06-16 Vesal Hakami , Mehdi Dehghan

Stochastic network design is a general framework for optimizing network connectivity. It has several applications in computational sustainability including spatial conservation planning, pre-disaster network preparation, and river network…

Artificial Intelligence · Computer Science 2016-12-02 Xiaojian Wu , Akshat Kumar , Daniel Sheldon , Shlomo Zilberstein

We study stochastic optimization problems with chance and risk constraints, where in the latter, risk is quantified in terms of the conditional value-at-risk (CVaR). We consider the distributionally robust versions of these problems, where…

Optimization and Control · Mathematics 2020-12-17 Ashish Cherukuri , Ashish R. Hota
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