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While experimental design often focuses on selecting the single best alternative from a finite set (e.g., in ranking and selection or best-arm identification), many pure-exploration problems pursue richer goals. Given a specific goal,…

Machine Learning · Statistics 2025-05-28 Chao Qin , Wei You

The high cost and data scarcity in scientific exploration have motivated the use of large language models (LLMs) as knowledge-driven components in Bayesian optimization (BO). However, existing approaches typically embed LLMs directly into…

We study optimal sensor placement for Bayesian state estimation problems in which sensors vary in cost and fidelity, resulting in a budget-constrained multifidelity optimal experimental design problem. Sensor placement optimality is…

Numerical Analysis · Mathematics 2026-02-10 Gabriela Ramon , Geena Sarnoski , Vasishta Tumuluri , Hugo Díaz , Arvind K. Saibaba

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

Optimization and Control · Mathematics 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

The state of the art related to parameter correlation in two-parameter models has been reviewed in this paper. The apparent contradictions between the different authors regarding the ability of D--optimality to simultaneously reduce the…

Statistics Theory · Mathematics 2023-07-12 Edgar Benitez , Jesús López-Fidalgo

We study the fundamental problem of selecting optimal features for model construction. This problem is computationally challenging on large datasets, even with the use of greedy algorithm variants. To address this challenge, we extend the…

We propose a class of subspace ascent methods for computing optimal approximate designs that covers both existing as well as new and more efficient algorithms. Within this class of methods, we construct a simple, randomized exchange…

Computation · Statistics 2018-01-18 Radoslav Harman , Lenka Filová , Peter Richtárik

Discrete barycenters are the optimal solutions to mass transport problems for a set of discrete measures. Such transport problems arise in many applications of operations research and statistics. The best known algorithms for exact…

Optimization and Control · Mathematics 2019-04-24 Steffen Borgwardt , Stephan Patterson

A class of nonlinear models combining a pharmacokinetic compartmental model and a pharmacodynamic Emax model is introduced. The locally D-optimal (LD) design for a four-parameter composed model is found to be a saturated four-point uniform…

Methodology · Statistics 2008-12-18 X. Fang , A. S. Hedayat

Nowadays, in many different fields, massive data are available and for several reasons, it might be convenient to analyze just a subset of the data. The application of the D-optimality criterion can be helpful to optimally select a…

Methodology · Statistics 2022-08-15 L. Deldossi , E. Pesce , C. Tommasi

Optimization algorithms are widely employed to tackle complex problems, but designing them manually is often labor-intensive and requires significant expertise. Global placement is a fundamental step in electronic design automation (EDA).…

Neural and Evolutionary Computing · Computer Science 2025-04-28 Xufeng Yao , Jiaxi Jiang , Yuxuan Zhao , Peiyu Liao , Yibo Lin , Bei Yu

We consider the problem of designing experiments for investigating particle in-flight properties in thermal spraying. Observations are available on an extensive design for an initial day and thereafter in limited number for any particular…

Applications · Statistics 2013-12-17 Holger Dette , Laura Hoyden , Sonja Kuhnt , Kirsten Schorning

Submodular maximization subject to matroid constraints is a central problem with many applications in machine learning. As algorithms are increasingly used in decision-making over datapoints with sensitive attributes such as gender or race,…

Data Structures and Algorithms · Computer Science 2026-01-16 Sepideh Mahabadi , Sherry Sarkar , Jakub Tarnawski

Modern biomedical datasets are increasingly high dimensional and exhibit complex correlation structures. Generalized Linear Mixed Models (GLMMs) have long been employed to account for such dependencies. However, proper specification of the…

Among the most important properties of algorithms investigated in computer science are soundness, completeness, and complexity. These properties, however, are rarely analyzed for the vast collection of recently proposed methods for planning…

Artificial Intelligence · Computer Science 2026-01-23 Michael Katz , Harsha Kokel , Kavitha Srinivas , Shirin Sohrabi

Clustering in high-dimensional spaces is nowadays a recurrent problem in many scientific domains but remains a difficult task from both the clustering accuracy and the result understanding points of view. This paper presents a…

Methodology · Statistics 2011-04-20 Charles Bouveyron , Camille Brunet

Accelerated discovery in materials science demands autonomous systems capable of dynamically formulating and solving design problems. In this work, we introduce a novel framework that leverages Bayesian optimization over a problem…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Danial Khatamsaz , Joseph Wagner , Brent Vela , Raymundo Arroyave , Douglas L. Allaire

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

Automated Machine Learning (AutoML) techniques have recently been introduced to design Collaborative Filtering (CF) models in a data-specific manner. However, existing works either search architectures or hyperparameters while ignoring the…

Information Retrieval · Computer Science 2023-07-21 Yan Wen , Chen Gao , Lingling Yi , Liwei Qiu , Yaqing Wang , Yong Li

We consider the problem of static assortment optimization, where the goal is to find the assortment of size at most $C$ that maximizes revenues. This is a fundamental decision problem in the area of Operations Management. It has been shown…

Methodology · Statistics 2011-08-19 Vivek Farias , Srikanth Jagabathula , Devavrat Shah