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We present a method for computing A-optimal sensor placements for infinite-dimensional Bayesian linear inverse problems governed by PDEs with irreducible model uncertainties. Here, irreducible uncertainties refers to uncertainties in the…

Optimization and Control · Mathematics 2020-08-26 Karina Koval , Alen Alexanderian , Georg Stadler

A new class of two-level non-regular fractional factorial designs is defined. We call this class an {\it affinely full-dimensional factorial design}, meaning that design points in the design of this class are not contained in any affine…

Methodology · Statistics 2009-07-22 Satoshi Aoki , Akimichi Takemura

Optimal designs can help experimenters obtain more accurate parameter estimates with reduced experimental time and cost. In this paper, we characterize the Expected Weighted (EW) D-optimal designs as robust designs against unknown parameter…

Methodology · Statistics 2026-04-08 Siting Lin , Yifei Huang , Jie Yang

Bayesian factor models are widely used for dimensionality reduction and pattern discovery in high-dimensional datasets across diverse fields. These models typically focus on imposing priors on factor loading to induce sparsity and improve…

Methodology · Statistics 2025-04-08 Yingjie Huang , Dafne Zorzetto , Roberta De Vito

Microplastics contamination is one of the most rapidly growing research topics. However, monitoring microplastics contamination in the environment presents both logistical and statistical challenges, particularly when constrained resources…

External pilot trials of complex interventions are used to help determine if and how a confirmatory trial should be undertaken, providing estimates of parameters such as recruitment, retention and adherence rates. The decision to progress…

This article introduces a functional method for lower-dimensional smooth representations in terms of time-varying dissimilarities. The method incorporates dissimilarity representation in multidimensional scaling and smoothness approach of…

Methodology · Statistics 2025-05-02 Liting Li

We propose a novel approach to input design for identification of nonlinear state space models. The optimal input sequence is obtained by maximizing a scalar cost function of the Fisher information matrix. Since the Fisher information…

Optimization and Control · Mathematics 2016-03-18 Patricio E. Valenzuela , Johan Dahlin , Cristian R. Rojas , Thomas B. Schön

Performing optimal Bayesian design for discriminating between competing models is computationally intensive as it involves estimating posterior model probabilities for thousands of simulated datasets. This issue is compounded further when…

Methodology · Statistics 2022-04-07 Markus Hainy , David J. Price , Olivier Restif , Christopher Drovandi

Bayesian optimization has become a fundamental global optimization algorithm in many problems where sample efficiency is of paramount importance. Recently, there has been proposed a large number of new applications in fields such as…

Artificial Intelligence · Computer Science 2019-02-06 Ruben Martinez-Cantin

Causal discovery from observational and interventional data is challenging due to limited data and non-identifiability: factors that introduce uncertainty in estimating the underlying structural causal model (SCM). Selecting experiments…

Machine Learning · Computer Science 2022-10-24 Panagiotis Tigas , Yashas Annadani , Andrew Jesson , Bernhard Schölkopf , Yarin Gal , Stefan Bauer

Bayesian optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

Machine Learning · Computer Science 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

Statistics Theory · Mathematics 2025-12-15 Piotr Bania , Anna Wójcik

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

Machine Learning · Computer Science 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

The optimization of large experiments in fundamental science, such as detectors for subnuclear physics at particle colliders, shares with the optimization of complex systems for industrial or societal applications the common issue of…

Instrumentation and Detectors · Physics 2026-03-30 Tommaso Dorigo , Pietro Vischia , Shahzaib Abbas , Tosin Adewumi , Lama Alkhaled , Lorenzo Arsini , Muhammad Awais , Maxim Borisyak , András Bóta , Florian Bury , Sascha Caron , James Carzon , Long Chen , Prakash C. Chhipa , Paul Christakopoulos , Jacopo De Piccoli , Andrea De Vita , Zlatan Dimitrov , Michele Doro , Luigi Favaro , Francesco Ferranti , Santiago Folgueras , Rihab Gargouri , Nicolas R. Gauger , Andrea Giammanco , Christian Glaser , Tobias Golling , João A. Gonçalves , Hui Han , Hamza Hanif , Lukas Heinrich , Yan Chai Hum , Florent Imbert , Andreas Ipp , Michael Kagan , Noor Kainat Syeda , Rukshak Kapoor , Aparup Khatua , Eduard J. Kerkhoven , Jan Kieseler , Tobias Kortus , Ashish Kumar Singh , Marius S. Köppel , Daniel Lanchares , Ann Lee , Pelayo Leguina , Christos Leonidopoulos , Giuseppe Levi , Boying Li , Chang Liu , Marcus Liwicki , Karl Lowenmark , Enrico Lupi , Carlo Mancini-Terracciano , Dominik Maršík , Leonidas Matsakas , Hamam Mokayed , Federico Nardi , Amirhossein Nayebiastaneh , Xuan T. Nguyen , Aitor Orio , Jingjing Pan , Jigar Patel , Carmelo Pellegrino , María Pereira Martínez , Karolos Potamianos , Shah Rukh Qasim , Martin Ravn , Luis Recabarren Vergara , Humberto Reyes-González , Hipolito A. Riveros Guevara , Ippocratis D. Saltas , Rajkumar Saini , Fredrik Sandin , Alexander Schilling , Kylian Schmidt , Nicola Serra , Saqib Shahzad , Foteini Simistira Liwicki , Giles C. Strong , Kristian Tchiorniy , Mia Tosi , Andrey Ustyuzhanin , Xabier Cid Vidal , Kinga A. Wozniak , Mengqing Wu , Zahraa Zaher

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

Methodology · Statistics 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

The R package BNSP provides a unified framework for semiparametric location-scale regression and stochastic search variable selection. The statistical methodology that the package is built upon utilizes basis function expansions to…

Other Statistics · Statistics 2018-10-09 Georgios Papageorgiou

This paper introduces a novel methodology for Feature Selection for Functional Classification, FSFC, that addresses the challenge of jointly performing feature selection and classification of functional data in scenarios with categorical…

We develop a fully Bayesian framework for function-on-scalars regression with many predictors. The functional data response is modeled nonparametrically using unknown basis functions, which produces a flexible and data-adaptive functional…

Methodology · Statistics 2018-10-25 Daniel R. Kowal , Daniel C. Bourgeois

Failure modes and effects analysis (FMEA) is one of the most practical design tools implemented in the product design to analyze the possible failures and to improve the design. The use of FMEA is diversified, and different approaches are…

Software Engineering · Computer Science 2021-01-15 Hengameh Fakhravar