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Bayesian optimal experiments that maximize the information gained from collected data are critical to efficiently identify behavioral models. We extend a seminal method for designing Bayesian optimal experiments by introducing two…

Applications · Statistics 2025-03-19 Stefano Balietti , Brennan Klein , Christoph Riedl

In recent years, there has been a growing interest in data-driven evolutionary algorithms (DDEAs) employing surrogate models to approximate the objective functions with limited data. However, current DDEAs are primarily designed for…

Machine Learning · Computer Science 2025-12-10 Xian-Rong Zhang , Yue-Jiao Gong , Zhiguang Cao , Jun Zhang

We introduce an acceleration for covariance matrix adaptation evolution strategies (CMA-ES) by means of adaptive diagonal decoding (dd-CMA). This diagonal acceleration endows the default CMA-ES with the advantages of separable CMA-ES…

Neural and Evolutionary Computing · Computer Science 2019-05-16 Youhei Akimoto , Nikolaus Hansen

We propose a novel approach for boosting the realized gain in enhanced directivity arrays with both active and parasitic dipoles as radiating elements. The optimization process involves two main objectives: maximizing the end-fire gain and…

Signal Processing · Electrical Eng. & Systems 2024-12-02 Rozita Konstantinou , Ihsan Kanbaz , Okan Yurduseven , Michail Matthaiou

Designing high-performance optical lenses entails exploring a high-dimensional, tightly constrained space of surface curvatures, glass choices, element thicknesses, and spacings. In practice, standard optimizers (e.g., gradient-based local…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Kirill Antonov , Teus Tukker , Tiago Botari , Thomas H. W. Bäck , Anna V. Kononova , Niki van Stein

We consider optimal design of PDE-based Bayesian linear inverse problems with infinite-dimensional parameters. We focus on the A-optimal design criterion, defined as the average posterior variance and quantified by the trace of the…

Numerical Analysis · Mathematics 2020-04-02 Elizabeth Herman , Alen Alexanderian , Arvind K. Saibaba

We introduce Deep Adaptive Design (DAD), a method for amortizing the cost of adaptive Bayesian experimental design that allows experiments to be run in real-time. Traditional sequential Bayesian optimal experimental design approaches…

Machine Learning · Statistics 2021-06-14 Adam Foster , Desi R. Ivanova , Ilyas Malik , Tom Rainforth

Simulating the time evolution of Partial Differential Equations (PDEs) of large-scale systems is crucial in many scientific and engineering domains such as fluid dynamics, weather forecasting and their inverse optimization problems.…

Machine Learning · Computer Science 2022-10-13 Tailin Wu , Takashi Maruyama , Jure Leskovec

Co-evolutionary algorithms (CoEAs), which pair candidate designs with test cases, are frequently used in adversarial optimisation, particularly for binary test-based problems where designs and tests yield binary outcomes. The effectiveness…

Neural and Evolutionary Computing · Computer Science 2024-07-26 Per Kristian Lehre , Shishen Lin

Evolutionary Algorithms (EAs) are being routinely applied for a variety of optimization tasks, and real-parameter optimization in the presence of constraints is one such important area. During constrained optimization EAs often create…

Neural and Evolutionary Computing · Computer Science 2015-04-20 Nikhil Padhye , Pulkit Mittal , Kalyanmoy Deb

In multi-response regression models, the error covariance matrix is never known in practice. Thus, there is a need for optimal designs which are robust against possible misspecification of the error covariance matrix. In this paper, we…

Methodology · Statistics 2019-10-03 Lucy L. Gao , Julie Zhou

Dynamic optimization problems involving discrete decisions have several applications, yet lead to challenging optimization problems that must be addressed efficiently. Combining discrete variables with potentially nonlinear constraints…

Optimization and Control · Mathematics 2024-09-17 Zedong Peng , Albert Lee , David E. Bernal Neira

We consider optimal designs for general multinomial logistic models, which cover baseline-category, cumulative, adjacent-categories, and continuation-ratio logit models, with proportional odds, non-proportional odds, or partial proportional…

Statistics Theory · Mathematics 2019-02-19 Xianwei Bu , Dibyen Majumdar , Jie Yang

In this paper we consider the problem of constructing $T$-optimal discriminating designs for Fourier regression models. We provide explicit solutions of the optimal design problem for discriminating between two Fourier regression models,…

Methodology · Statistics 2015-12-24 Holger Dette , Viatcheslav B. Melas , Petr Shpilev

Estimation-of-distribution algorithms (EDAs) are general metaheuristics used in optimization that represent a more recent alternative to classical approaches like evolutionary algorithms. In a nutshell, EDAs typically do not directly evolve…

Neural and Evolutionary Computing · Computer Science 2018-06-15 Martin S. Krejca , Carsten Witt

We develop adaptive discretization algorithms for locally optimal experimental design of nonlinear prediction models. With these algorithms, we refine and improve a pertinent state-of-the-art algorithm in various respects. We establish…

Optimization and Control · Mathematics 2024-06-04 Jochen Schmid , Philipp Seufert , Michael Bortz

In this paper, we propose two simple yet efficient computational algorithms to obtain approximate optimal designs for multi-dimensional linear regression on a large variety of design spaces. We focus on the two commonly used optimal…

Statistics Theory · Mathematics 2021-02-26 Jiangtao Duan , Wei Gao , Yanyuan Ma , Hon Keung Tony Ng

In clinical trials, the response of a given subject often depends on the selected treatment as well as on some covariates. We study optimal approximate designs of experiments in the models with treatment and covariate effects. We allow for…

Statistics Theory · Mathematics 2019-07-10 Samuel Rosa

A decomposition-based multi-objective evolutionary algorithm with a differential evolution variation operator (MOEA/D-DE) shows high performance on challenging multi-objective problems (MOPs). The DE mutation consists of three key…

Neural and Evolutionary Computing · Computer Science 2020-10-02 Ryoji Tanabe , Hisao Ishibuchi

With the ever increasing complexity of specifications, manual sizing for analog circuits recently became very challenging. Especially for innovative, large-scale circuits designs, with tens of design variables, operating conditions and…

Machine Learning · Computer Science 2022-06-07 Catalin Visan , Octavian Pascu , Marius Stanescu , Elena-Diana Sandru , Cristian Diaconu , Andi Buzo , Georg Pelz , Horia Cucu