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We consider problems with multiple linear objectives and linear constraints and use Adjustable Robust Optimization and Polynomial Optimization as tools to approximate the Pareto set with polynomials of arbitrarily large degree. The main…

Optimization and Control · Mathematics 2015-01-13 Bram L. Gorissen , Dick den Hertog

We present new multi-test Bayesian optimization models and algorithms for use in large scale material screening applications. Our screening problems are designed around two tests, one expensive and one cheap. This paper differs from other…

Machine Learning · Statistics 2020-09-14 James Hook , Calum Hand , Emma Whitfield

Dynamic classifier selection systems aim to select a group of classifiers that is most adequate for a specific query pattern. This is done by defining a region around the query pattern and analyzing the competence of the classifiers in this…

Machine Learning · Computer Science 2018-11-05 Rafael M. O. Cruz , George D. C. Cavalcanti , Tsang Ing Ren

In this paper two formulations for the robust optimization of the size of the permanent magnet in a synchronous machine are discussed. The optimization is constrained by a partial differential equation to describe the electromagnetic…

Optimization and Control · Mathematics 2018-08-07 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Stefan Ulbrich , Oliver Rain

This study aims to optimize the evaluation metric of multimodal multi-objective optimization problems using a Regionalized Metric Framework, which provides a certain boost to research in this field. Existing evaluation metrics usually use…

Neural and Evolutionary Computing · Computer Science 2025-06-03 Jintai Chen , Fangqing Liu , Xueming Yan , Han Huang

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…

Design of printed circuit board (PCB) stack-up requires the consideration of characteristic impedance, insertion loss and crosstalk. As there are many parameters in a PCB stack-up design, the optimization of these parameters needs to be…

Other Statistics · Statistics 2019-11-12 Jiayi He , Aravind Sampath Kumar , Arun Chada , Bhyrav Mutnury , James Drewniak

We analyze combinatorial optimization problems with ordinal, i.e., non-additive, objective functions that assign categories (like good, medium and bad) rather than cost coefficients to the elements of feasible solutions. We review different…

Optimization and Control · Mathematics 2022-04-06 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

Necessary conditions for high-order optimality in smooth nonlinear constrained optimization are explored and their inherent intricacy discussed. A two-phase minimization algorithm is proposed which can achieve approximate first-, second-…

Optimization and Control · Mathematics 2021-05-31 C. Cartis , N. I. M. Gould , Ph. L. Toint

Model selection is a strategy aimed at creating accurate and robust models. A key challenge in designing these algorithms is identifying the optimal model for classifying any particular input sample. This paper addresses this challenge and…

Machine Learning · Computer Science 2023-05-22 James Kotary , Vincenzo Di Vito , Ferdinando Fioretto

We propose an optimization approach to design cost-effective electrical power transmission networks. That is, we aim to select both the network structure and the line conductances (line sizes) so as to optimize the trade-off between network…

Optimization and Control · Mathematics 2016-11-15 Jason K. Johnson , Michael Chertkov

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

The optimization of functions to find the best solution according to one or several objectives has a central role in many engineering and research fields. Recently, a new family of optimization algorithms, named Quality-Diversity…

Neural and Evolutionary Computing · Computer Science 2017-08-31 Antoine Cully , Yiannis Demiris

How to efficiently design a communication network is a paramount task for network designing and engineering. It is, however, not a single objective optimization process as perceived by most previous researches, i.e., to maximize its…

Networking and Internet Architecture · Computer Science 2015-05-14 Guoqiang Zhang

An optimised subsea system design for energy-efficient SDM operation is demonstrated using machine learning. The removal of gain-flattening filters employed in submarine optical amplifiers can result in capacity gains at no additional…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Maria Ionescu , Amirhossein Ghazisaeidi , Jérémie Renaudier , Pascal Pecci , Olivier Courtois

Most inverse optimization models impute unspecified parameters of an objective function to make an observed solution optimal for a given optimization problem with a fixed feasible set. We propose two approaches to impute unspecified…

Optimization and Control · Mathematics 2019-07-19 Timothy C. Y. Chan , Neal Kaw

We consider the problem of optimization of an effective trapping potential in a nanostructure with a quasi-one-dimensional geometry. The optimization is performed to achieve certain target optical properties of the system. We formulate and…

Materials Science · Physics 2015-05-13 Ilya Grigorenko , Herschel Rabitz , Alaxander Balatsky

This paper reconsiders end-to-end learning approaches to the Optimal Power Flow (OPF). Existing methods, which learn the input/output mapping of the OPF, suffer from scalability issues due to the high dimensionality of the output space.…

Machine Learning · Computer Science 2023-05-18 Seonho Park , Wenbo Chen , Terrence W. K. Mak , Pascal Van Hentenryck

Optical approaches have made great strides towards the goal of high-speed, energy-efficient computing necessary for modern deep learning and AI applications. Read-in and read-out of data, however, limit the overall performance of existing…

Emerging Technologies · Computer Science 2024-02-06 Alexander Song , Sai Nikhilesh Murty Kottapalli , Rahul Goyal , Bernhard Schölkopf , Peer Fischer

Commercial refrigeration systems consume 7% of the total commercial energy consumption in the United States. Improving their energy efficiency contributes to the sustainability of global energy systems and the supermarket business sector.…

Systems and Control · Computer Science 2017-04-04 Insoon Yang