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Most real-world optimization problems are difficult to solve with traditional statistical techniques or with metaheuristics. The main difficulty is related to the existence of a considerable number of local optima, which may result in the…

Neural and Evolutionary Computing · Computer Science 2022-06-08 Gloria Pietropolli , Giuliamaria Menara , Mauro Castelli

Subwavelength photonic structures and metamaterials provide revolutionary approaches for controlling light. The inverse design methods proposed for these subwavelength structures are vital to the development of new photonic devices.…

Designing and optimizing FPGA overlays is a complex and time-consuming process, often requiring multiple trial-and-error iterations to determine a suitable configuration. This paper presents an AI-driven approach to optimizing FPGA overlay…

Machine Learning · Computer Science 2025-03-11 Rasha Karakchi

Metasurfaces are subwavelength-structured artificial media that can shape and localize electromagnetic waves in unique ways. The inverse design of these devices is a non-convex optimization problem in a high dimensional space, making global…

Computational Physics · Physics 2019-11-22 Jiaqi Jiang , Jonathan A. Fan

Over the past decade, artificially engineered optical materials and nanostructured thin films have revolutionized the area of photonics by employing novel concepts of metamaterials and metasurfaces where spatially varying structures yield…

We establish a formal connection between the decades-old surrogate outcome model in biostatistics and economics and the emerging field of prediction-powered inference (PPI). The connection treats predictions from pre-trained models,…

Machine Learning · Statistics 2025-01-17 Wenlong Ji , Lihua Lei , Tijana Zrnic

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Topology optimization methods for inverse design of nano-photonic systems have recently become extremely popular and are presented in various forms and under various names. Approaches comprise gradient and non-gradient based algorithms…

Optics · Physics 2021-02-25 Rasmus E. Christiansen , Ole Sigmund

We consider computationally expensive blackbox optimization problems and present a method that employs surrogate models and concurrent computing at the search step of the mesh adaptive direct search (MADS) algorithm. Specifically, we solve…

Optimization and Control · Mathematics 2021-07-28 Bastien Talgorn , Stéphane Alarie , Michael Kokkolaras

Global optimization of expensive functions has important applications in physical and computer experiments. It is a challenging problem to develop efficient optimization scheme, because each function evaluation can be costly and the…

Machine Learning · Statistics 2020-01-22 Ray-Bing Chen , Yuan Wang , C. F. Jeff Wu

Experimental (design) optimization is a key driver in designing and discovering new products and processes. Bayesian Optimization (BO) is an effective tool for optimizing expensive and black-box experimental design processes. While Bayesian…

Machine Learning · Computer Science 2024-02-28 Arun Kumar A , Alistair Shilton , Sunil Gupta , Santu Rana , Stewart Greenhill , Svetha Venkatesh

In data-driven inverse optimization an observer aims to learn the preferences of an agent who solves a parametric optimization problem depending on an exogenous signal. Thus, the observer seeks the agent's objective function that best…

Optimization and Control · Mathematics 2017-07-25 Peyman Mohajerin Esfahani , Soroosh Shafieezadeh-Abadeh , Grani Adiwena Hanasusanto , Daniel Kuhn

We demonstrate a multi-fidelity (MF) machine learning ensemble framework for the inverse design of photonic surfaces, trained on a dataset of 11,759 samples that we fabricate using high throughput femtosecond laser processing. The MF…

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

Design optimization techniques are often used at the beginning of the design process to explore the space of possible designs. In these domains illumination algorithms, such as MAP-Elites, are promising alternatives to classic optimization…

Machine Learning · Statistics 2018-06-18 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

A novel approach to expedite design optimization of nonlinear beam dynamics in storage rings is proposed and demonstrated in this study. At each iteration, a neural network surrogate model is used to suggest new trial solutions in a…

Accelerator Physics · Physics 2019-11-01 Faya Wang , Minghao Song , Auralee Edelen , Xiaobiao Huang

The optimization of functional materials is important to enhance their properties, but their complex geometries pose great challenges to optimization. Data-driven algorithms efficiently navigate such complex design spaces by learning…

Computational Engineering, Finance, and Science · Computer Science 2025-06-05 Seongmin Kim , In-Saeng Suh

The complexity of applications addressed with photonic integrated circuits is steadily rising and poses increasingly challenging demands on individual component functionality, performance and footprint. Inverse design methods have recently…

Optics · Physics 2023-05-10 Marco Butz , Adrian S. Abazi , Rene Ross , Benjamin Risse , Carsten Schuck

Designing a multi-layer optical system with designated optical characteristics is an inverse design problem in which the resulting design is determined by several discrete and continuous parameters. In particular, we consider three design…

Machine Learning · Computer Science 2021-11-17 Heribert Wankerl , Maike L. Stern , Ali Mahdavi , Christoph Eichler , Elmar W. Lang

Solving inverse problems in cardiac electrophysiology consists in the recovery of physiological parameters from surface electrocardiogram (ECG) measurements, a task which is often computationally unfeasible due to the severe ill-posedness…

Numerical Analysis · Mathematics 2026-05-05 Edoardo Centofanti , Giovanni Ziarelli , Simone Scacchi , Luca Franco Pavarino