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Efficient and systematic numerical methods for robust control design are crucial in quantum systems due to inevitable uncertainties or disturbances. We propose a novel approach that models uncertainties as random variables and quantifies…

Quantum Physics · Physics 2025-04-22 Zigui Zhang , Zibo Miao , Xiu-Hao Deng

We consider global non-convex optimisation problems under uncertainty. In this setting, it is not possible to implement a desired solution exactly. Instead, any other solution within some distance to the intended solution may be…

Optimization and Control · Mathematics 2020-03-24 Martin Hughes , Marc Goerigk , Trivikram Dokka

We propose an algorithm for optimizations in which the gradients contain stochastic noise. This arises, for example, in structural optimizations when computations of forces and stresses rely on methods involving Monte Carlo sampling, such…

Materials Science · Physics 2022-11-30 Siyuan Chen , Shiwei Zhang

We formulate selecting the best optimizing system (SBOS) problems and provide solutions for those problems. In an SBOS problem, a finite number of systems are contenders. Inside each system, a continuous decision variable affects the…

Methodology · Statistics 2025-11-04 Nian Si , Yifu Tang , Zeyu Zheng

The study of online algorithms with machine-learned predictions has gained considerable prominence in recent years. One of the common objectives in the design and analysis of such algorithms is to attain (Pareto) optimal tradeoffs between…

Machine Learning · Computer Science 2024-08-09 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Yanni Lefki

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

Optimization and Control · Mathematics 2013-10-03 Victor Picheny

Aiming at analyzing performance in cloud computing, some unpredictable perturbations which may lead to performance downgrade are essential factors that should not be neglected. To avoid performance downgrade in cloud computing system, it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Jiaxin Zhou , Siyi Chen , Haiyang Kuang

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

Machine Learning · Statistics 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

A variety of optimization algorithms have been developed to solve engineering design problems in which the solution space is too large to manually determine the optimal solution. The Modular Optimization Framework (MOF) was developed to…

Neural and Evolutionary Computing · Computer Science 2022-04-04 Brian Andersen , Gregory Delipei , David Kropaczek , Jason Hou

Noisy optimization is the optimization of objective functions corrupted by noise. A portfolio of solvers is a set of solvers equipped with an algorithm selection tool for distributing the computational power among them. Portfolios are…

Optimization and Control · Mathematics 2015-11-05 Marie-Liesse Cauwet , Jialin Liu , Rozière Baptiste , Olivier Teytaud

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

Machine Learning · Computer Science 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

In this paper, we propose the first optimum process scheduling algorithm for an increasingly prevalent type of heterogeneous multicore (HEMC) system that combines high-performance big cores and energy-efficient small cores with the same…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-13 Chien-Hao Chen , Ren-Song Tsay

We initiate a formal study of reproducibility in optimization. We define a quantitative measure of reproducibility of optimization procedures in the face of noisy or error-prone operations such as inexact or stochastic gradient computations…

Optimization and Control · Mathematics 2022-12-06 Kwangjun Ahn , Prateek Jain , Ziwei Ji , Satyen Kale , Praneeth Netrapalli , Gil I. Shamir

We consider robust optimal experimental design (ROED) for nonlinear Bayesian inverse problems governed by partial differential equations (PDEs). An optimal design is one that maximizes some utility quantifying the quality of the solution of…

Numerical Analysis · Mathematics 2026-05-01 Abhijit Chowdhary , Ahmed Attia , Alen Alexanderian

Bayesian optimization (BO) is one of the most effective methods for closed-loop experimental design and black-box optimization. However, a key limitation of BO is that it is an inherently sequential algorithm (one experiment is proposed per…

Machine Learning · Statistics 2023-11-21 Leonardo D. González , Victor M. Zavala

Modern accelerators like GPUs are increasingly executing independent operations concurrently to improve the device's compute utilization. However, effectively harnessing it on GPUs for important primitives such as general matrix…

Hardware Architecture · Computer Science 2024-09-05 Suchita Pati , Shaizeen Aga , Nuwan Jayasena , Matthew D. Sinclair

Genetic algorithms, computer programs that simulate natural evolution, are increasingly applied across many disciplines. They have been used to solve various optimisation problems from neural network architecture search to strategic games,…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Aymeric Vie , Alissa M. Kleinnijenhuis , Doyne J. Farmer

Communication networks are used today everywhere and on every scale: starting from small Internet of Things (IoT) networks at home, via campus and enterprise networks, and up to tier-one networks of Internet providers. Accordingly, network…

Networking and Internet Architecture · Computer Science 2022-02-16 Itamar Cohen

The rapid advances in the field of optimization methods in many pure and applied science pose the difficulty of keeping track of the developments as well as selecting an appropriate technique that best suits the problem in-hand. From a…

Neural and Evolutionary Computing · Computer Science 2011-12-30 Loris Serafino

Self-testing is a phenomenon where the use of specific quantum states or measurements can be inferred solely from the correlations they generate. We introduce a universal method for conducting robustness analysis in the self-testing of…

Quantum Physics · Physics 2026-03-23 Shin-Liang Chen , Nikolai Miklin
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