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A resilient distributed algorithm is proposed to solve the distributed resource allocation problem of a first-order nonlinear multi-agent system who is subject to false data injection (FDI) attacks. An intelligent attacker injects false…

Optimization and Control · Mathematics 2022-12-07 Xin Cai , Xinyuan Nan , Binpeng Gao

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

As problems in machine learning, smartgrid dispatch, and IoT coordination problems have grown, distributed and fully-decentralized optimization models have gained attention for providing computational scalability to optimization tools.…

Optimization and Control · Mathematics 2018-05-30 Eric Munsing , Scott Moura

This paper proposes a framework for secure and resilient controller design for positive systems against cyber-attacks. In particular, we consider a network-controlled system where an adversary injects false data into the actuator channels…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Alba Gurpegui , Sribalaji C. Anand , André M. H. Teixeira

Recent high-profile incidents have exposed security risks in control systems. Particularly important and safety-critical modules for security analysis are estimation and control (E&C). Prior works have analyzed the security of E&C for…

Systems and Control · Electrical Eng. & Systems 2023-01-02 R. Spencer Hallyburton , Amir Khazraei , Miroslav Pajic

Conditional value-at-risk (CVaR) is a prominent risk measure in financial engineering, energy systems, and supply chain management. In these domains, Markov decision processes (MDPs) with a long-run CVaR criterion effectively mitigate cost…

Optimization and Control · Mathematics 2026-03-11 Qixin Wang , Hao Cao , Jian-Qiang Hu , Mingjie Hu , Li Xia

This paper quantifies the security of uncertain interconnected systems under stealthy data injection attacks. In particular, we consider a large-scale system composed of a certain subsystem interconnected with an uncertain subsystem, where…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

In this paper, we study the stochastic combinatorial multi-armed bandit problem under semi-bandit feedback. While much work has been done on algorithms that optimize the expected reward for linear as well as some general reward functions,…

Machine Learning · Computer Science 2021-12-03 Shaarad Ayyagari , Ambedkar Dukkipati

This paper proposes a game-theoretic approach to address the problem of optimal sensor placement against an adversary in uncertain networked control systems. The problem is formulated as a zero-sum game with two players, namely a malicious…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

We explore an optimal impulse control problem wherein an electronic device owner strategically calibrates protection levels against cyber attacks. Utilizing epidemiological compartment models, we qualitatively characterize the dynamics of…

Optimization and Control · Mathematics 2024-10-24 Caroline Hillairet , Thibaut Mastrolia , Wissal Sabbagh

In many sequential decision-making problems we may want to manage risk by minimizing some measure of variability in rewards in addition to maximizing a standard criterion. Variance related risk measures are among the most common…

Machine Learning · Computer Science 2015-03-19 Prashanth L. A. , Mohammad Ghavamzadeh

In several applications such as clinical trials and financial portfolio optimization, the expected value (or the average reward) does not satisfactorily capture the merits of a drug or a portfolio. In such applications, risk plays a crucial…

Machine Learning · Statistics 2022-05-13 Vincent Y. F. Tan , Prashanth L. A. , Krishna Jagannathan

We investigate the problem of designing optimal stealthy poisoning attacks on the control channel of Markov decision processes (MDPs). This research is motivated by the recent interest of the research community for adversarial and poisoning…

Systems and Control · Electrical Eng. & Systems 2021-09-16 Alessio Russo , Alexandre Proutiere

This paper proposes a game-theoretic method to address the problem of optimal detector placement in a networked control system under cyber-attacks. The networked control system is composed of interconnected agents where each agent is…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira , Alexander Medvedev

We study a risk-constrained version of the stochastic shortest path (SSP) problem, where the risk measure considered is Conditional Value-at-Risk (CVaR). We propose two algorithms that obtain a locally risk-optimal policy by employing four…

Machine Learning · Statistics 2018-10-23 Prashanth L. A.

With the rising importance of large-scale network control, the problem of actuator placement has received increasing attention. Our goal in this paper is to find a set of actuators minimizing the metric that measures the average energy…

Optimization and Control · Mathematics 2021-07-14 Baiwei Guo , Orcun Karaca , Tyler Summers , Maryam Kamgarpour

We study the problem of finding the worst-case joint distribution of a set of risk factors given prescribed multivariate marginals and a nonlinear loss function. We show that when the risk measure is CVaR, and the distributions are…

Risk Management · Quantitative Finance 2016-10-31 Amir Memartoluie , David Saunders , Tony Wirjanto

Classical multi-armed bandit problems use the expected value of an arm as a metric to evaluate its goodness. However, the expected value is a risk-neutral metric. In many applications like finance, one is interested in balancing the…

Machine Learning · Computer Science 2019-06-04 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

This paper addresses objectives tailored to the risk-averse optimization of accumulated rewards in Markov decision processes (MDPs). The studied objectives require maximizing the expected value of the accumulated rewards minus a penalty…

Logic in Computer Science · Computer Science 2024-07-10 Christel Baier , Jakob Piribauer , Maximilian Starke

In this work, we address risk-averse Bayes-adaptive reinforcement learning. We pose the problem of optimising the conditional value at risk (CVaR) of the total return in Bayes-adaptive Markov decision processes (MDPs). We show that a policy…

Machine Learning · Computer Science 2021-10-27 Marc Rigter , Bruno Lacerda , Nick Hawes