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We consider optimal sensor placement for a family of linear Bayesian inverse problems characterized by a deterministic hyper-parameter. The hyper-parameter describes distinct configurations in which measurements can be taken of the observed…

数值分析 · 数学 2023-01-31 Nicole Aretz , Peng Chen , Denise Degen , Karen Veroy

Aerodynamic inverse design can improve vehicle and aircraft efficiency, but practical design rarely seeks performance alone: vehicle refinement must reduce drag while preserving visual features linked to design language, brand recognition…

机器学习 · 计算机科学 2026-05-29 Huaguan Chen , Ning Lin , Luxi Chen , Jiacheng Cen , Rui Zhang , Wenbing Huang , Chongxuan Li , Hao Sun

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

最优化与控制 · 数学 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

Recent advances in photonic inverse design have demonstrated the ability to automatically synthesize compact, high-performance photonic components that surpass conventional, hand-designed structures, offering a promising path toward…

光学 · 物理学 2026-02-18 Hongjian Zhou , Haoyu Yang , Nicholas Gangi , Tianle Xu , Rena Huang , Jiaqi Gu

Inverse imaging problems rely on limited and indirect measurements, making reconstruction highly dependent on both regularization and sample locations. We introduce a novel greedy framework for the optimal selection of indirect measurements…

数值分析 · 数学 2025-12-04 L. Bruni Bruno , P. Massa , E. Perracchione , M. Trombini

Computation of document image quality metrics often depends upon the availability of a ground truth image corresponding to the document. This limits the applicability of quality metrics in applications such as hyperparameter optimization of…

计算机视觉与模式识别 · 计算机科学 2018-07-10 Prashant Singh , Ekta Vats , Anders Hast

We investigate the use of a Genetic Algorithm (GA) to design a set of photonic crystals (PCs) in one and two dimensions. Our flexible design methodology allows us to optimize PC structures which are optimized for specific objectives. In…

光学 · 物理学 2009-11-13 Joel Goh , Ilya Fushman , Dirk Englund , Jelena Vuckovic

Recent works in learning-integrated optimization have shown promise in settings where the optimization problem is only partially observed or where general-purpose optimizers perform poorly without expert tuning. By learning an optimizer…

机器学习 · 计算机科学 2023-11-06 Arman Zharmagambetov , Brandon Amos , Aaron Ferber , Taoan Huang , Bistra Dilkina , Yuandong Tian

Numerical optimization for the inverse design of photonic structures is a tool which is providing increasingly convincing results -- even though the wave nature of problems in photonics makes them particularly complex. In the meantime, the…

Objective: Deep learning-based deformable image registration has achieved strong accuracy, but remains sensitive to variations in input image characteristics such as artifacts, field-of-view mismatch, or modality difference. We aim to…

计算机视觉与模式识别 · 计算机科学 2025-09-15 Yihao Liu , Junyu Chen , Lianrui Zuo , Shuwen Wei , Brian D. Boyd , Carmen Andreescu , Olusola Ajilore , Warren D. Taylor , Aaron Carass , Bennett A. Landman

Offline model-based optimization seeks to optimize against a learned surrogate model without querying the true oracle objective function during optimization. Such tasks are commonly encountered in protein design, robotics, and clinical…

机器学习 · 计算机科学 2024-09-27 Michael S. Yao , Yimeng Zeng , Hamsa Bastani , Jacob Gardner , James C. Gee , Osbert Bastani

In this paper, we propose a surrogate-assisted evolutionary algorithm (EA) for hyperparameter optimization of machine learning (ML) models. The proposed STEADE model initially estimates the objective function landscape using RadialBasis…

神经与进化计算 · 计算机科学 2020-12-14 Subhodip Biswas , Adam D Cobb , Andreea Sistrunk , Naren Ramakrishnan , Brian Jalaian

From higher computational efficiency to enabling the discovery of novel and complex structures, deep learning has emerged as a powerful framework for the design and optimization of nanophotonic circuits and components. However, both…

机器学习 · 计算机科学 2022-09-13 Christopher Yeung , Benjamin Pham , Zihan Zhang , Katherine T. Fountaine , Aaswath P. Raman

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

最优化与控制 · 数学 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

Machine learning has been effective at detecting patterns and predicting the response of systems that behave free of natural laws. Examples include learning crowd dynamics, recommender systems and autonomous mobility. There also have been…

计算物理 · 物理学 2018-12-05 Gregory Teichert , Krishna Garikipati

The classical adjoint-based topology optimization (TO) method, based on the use of a random continuous dielectric function as an adjoint variable distribution, is known to be one of the most efficient optimization methods that enable the…

光学 · 物理学 2023-11-01 Kofi Edee , Mauro Antezza , Brahim Guizal

The development of inverse design, where computational optimization techniques are used to design devices based on certain specifications, has led to the discovery of many compact, non-intuitive structures with superior performance. Among…

光学 · 物理学 2019-02-25 Tyler W. Hughes , Momchil Minkov , Ian A. D. Williamson , Shanhui Fan

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

数值分析 · 数学 2026-03-16 Matteo Giacomini , Pedro Díez

This paper presents a novel learning-based approach to construct a surrogate problem that approximates a given parametric nonconvex optimization problem. The surrogate function is designed to be the minimum of a finite set of functions,…

最优化与控制 · 数学 2026-04-08 Renzi Wang , Panagiotis Patrinos , Alberto Bemporad

We consider minimizing functions for which it is expensive to compute the (possibly stochastic) gradient. Such functions are prevalent in reinforcement learning, imitation learning and adversarial training. Our target optimization framework…

机器学习 · 计算机科学 2023-06-09 Jonathan Wilder Lavington , Sharan Vaswani , Reza Babanezhad , Mark Schmidt , Nicolas Le Roux