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Robust and high-precision quantum control is extremely important but challenging for the functionization of scalable quantum computation. In this paper, we show that this hard problem can be translated to a supervised machine learning task…

Quantum Physics · Physics 2019-04-24 Re-Bing Wu , Haijin Ding , Daoyi Dong , Xiaoting Wang

We study the robust Nash equilibrium (RNE) for a class of games in communications systems and networks where the impact of users on each other is an additive function of their strategies. Each user measures this impact, which may be…

Computer Science and Game Theory · Computer Science 2011-09-21 Saeedeh Parsaeefard , Ahmad R. Sharafat , Mihaela van der Schaar

In this note, we investigate the robustness of Nash equilibria (NE) in multi-player aggregative games with coupling constraints. There are many algorithms for computing an NE of an aggregative game given a known aggregator. When the…

Computer Science and Game Theory · Computer Science 2024-03-19 Guanpu Chen , Gehui Xu , Fengxiang He , Dacheng Tao , Thomas Parisini , Karl Henrik Johansson

Highly accurate and robust control of quantum operations is vital for the realization of error-correctible quantum computation. In this paper, we show that the robustness of high-precision controls can be remarkably enhanced through…

Quantum Physics · Physics 2021-07-28 Xiaozhen Ge , Re-Bing Wu

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

We address the challenge of designing optimal adversarial noise algorithms for settings where a learner has access to multiple classifiers. We demonstrate how this problem can be framed as finding strategies at equilibrium in a two-player,…

Machine Learning · Computer Science 2019-06-10 Juan C. Perdomo , Yaron Singer

Adversarial training is a standard technique for training adversarially robust models. In this paper, we study adversarial training as an alternating best-response strategy in a 2-player zero-sum game. We prove that even in a simple…

Machine Learning · Computer Science 2023-03-01 Maria-Florina Balcan , Rattana Pukdee , Pradeep Ravikumar , Hongyang Zhang

High-precision manipulation of multi-qubit quantum systems requires strictly clocked and synchronized multi-channel control signals. However, practical Arbitrary Waveform Generators (AWGs) always suffer from random signal jitters and…

Quantum Physics · Physics 2019-08-14 Hai-Jin Ding , Re-Bing Wu

This chapter introduces and investigates some fundamental questions on the relationship between accuracy and robustness in both classical and quantum classification algorithms under noisy and adversarial conditions. We introduce and clarify…

Quantum Physics · Physics 2026-02-18 Nana Liu

Quantum machine learning models have the potential to offer speedups and better predictive accuracy compared to their classical counterparts. However, these quantum algorithms, like their classical counterparts, have been shown to also be…

Quantum Physics · Physics 2021-05-27 Maurice Weber , Nana Liu , Bo Li , Ce Zhang , Zhikuan Zhao

Errors occurring on noisy hardware pose a key challenge to reliable quantum computing. Existing techniques such as error correction, mitigation, or suppression typically separate the error handling from the algorithm analysis and design. In…

Quantum Physics · Physics 2026-01-21 Julian Berberich , Tobias Fellner , Robert L. Kosut , Christian Holm

In learning problems, the noise inherent to the task at hand hinders the possibility to infer without a certain degree of uncertainty. Quantifying this uncertainty, regardless of its wide use, assumes high relevance for security-sensitive…

A robust game is a distribution-free model to handle ambiguity generated by a bounded set of possible realizations of the values of players' payoff functions. The players are worst-case optimizers and a solution, called robust-optimization…

Theoretical Economics · Economics 2020-02-11 Giovanni Paolo Crespi , Davide Radi , Matteo Rocca

Adversarial training is a standard defense against malicious input perturbations in security-critical machine-learning systems. Its main burden is structural: before every parameter update, the current model must first be attacked to find a…

Quantum Physics · Physics 2026-03-31 Yue Wang , Guangyi He , Liepeng Zhang , Lukas Gonon , Qi Zhao

To improve efficiency and reduce failures in autonomous vehicles, research has focused on developing robust and safe learning methods that take into account disturbances in the environment. Existing literature in robust reinforcement…

Machine Learning · Computer Science 2019-03-12 Xiaobai Ma , Katherine Driggs-Campbell , Mykel J. Kochenderfer

Optimal control of closed quantum systems is a well studied geometrically elegant set of computational theory and techniques that have proven pivotal in the implementation and understanding of quantum computers. The design of a circuit…

Quantum Physics · Physics 2024-04-29 Johannes Aspman , Vyacheslav Kungurtsev , Jakub Marecek

Consider a strongly monotone game where the players' utility functions include a reward function and a linear term for each dimension, with coefficients that are controlled by the manager. Gradient play converges to a unique Nash…

Multiagent Systems · Computer Science 2026-02-25 Siddharth Chandak , Ilai Bistritz , Nicholas Bambos

We propose a novel framework for robust dynamic games with nonlinear dynamics corrupted by state-dependent additive noise, and nonlinear agent-specific and shared constraints. Leveraging system-level synthesis (SLS), each agent designs a…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Shuyu Zhan , Chih-Yuan Chiu , Antoine P. Leeman , Glen Chou

Robustness against adversarial attacks and distribution shifts is a long-standing goal of Reinforcement Learning (RL). To this end, Robust Adversarial Reinforcement Learning (RARL) trains a protagonist against destabilizing forces exercised…

Machine Learning · Computer Science 2023-11-06 Aryaman Reddi , Maximilian Tölle , Jan Peters , Georgia Chalvatzaki , Carlo D'Eramo

Matter, especially DNA, is now programmed to carry out useful processes at the nanoscale. As these programs and processes become more complex and their envisioned safety-critical applications approach deployment, it is essential to develop…

Computer Science and Game Theory · Computer Science 2019-02-19 Jack H. Lutz , Neil Lutz , Robyn R. Lutz , Matthew R. Riley
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