Sparse polynomial chaos expansions: Literature survey and benchmark

N Lüthen, S Marelli, B Sudret - SIAM/ASA Journal on Uncertainty …, 2021 - SIAM
Sparse polynomial chaos expansions (PCE) are a popular surrogate modelling method that
takes advantage of the properties of PCE, the sparsity-of-effects principle, and powerful …

Design of experiments and regression modelling in food flavour and sensory analysis: A review

P Yu, MY Low, W Zhou - Trends in Food Science & Technology, 2018 - Elsevier
Background Food sensory science and flavour analysis are key processes in new product
development, and is essential in understanding consumers by bridging the gap between …

Sensor selection via convex optimization

S Joshi, S Boyd - IEEE Transactions on Signal Processing, 2008 - ieeexplore.ieee.org
We consider the problem of choosing a set of k sensor measurements, from a set of m
possible or potential sensor measurements, that minimizes the error in estimating some …

Matrix algebra

JE Gentle - Springer texts in statistics, Springer, New York, NY, doi, 2007 - Springer
Vectors and matrices are useful in representing multivariate numeric data, and they occur
naturally in working with linear equations or when expressing linear relationships among …

Near-optimal sensor placements in gaussian processes

C Guestrin, A Krause, AP Singh - … of the 22nd international conference on …, 2005 - dl.acm.org
When monitoring spatial phenomena, which are often modeled as Gaussian Processes
(GPs), choosing sensor locations is a fundamental task. A common strategy is to place …

Least squares polynomial chaos expansion: A review of sampling strategies

M Hadigol, A Doostan - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
As non-intrusive polynomial chaos expansion (PCE) techniques have gained growing
popularity among researchers, we here provide a comprehensive review of major sampling …

Optimization of designed experiments based on multiple criteria utilizing a Pareto frontier

L Lu, CM Anderson-Cook, TJ Robinson - Technometrics, 2011 - Taylor & Francis
Balancing competing objectives to select an optimal design of experiments involves flexibly
combining measures to select a winner. The Pareto front approach for simultaneously …

An algorithmic approach to constructing supersaturated designs

NK Nguyen - Technometrics, 1996 - Taylor & Francis
Supersaturated designs are very cost-effective to scientists and engineers at the primary
stage of scientific investigation. This article describes a method of constructing …

[图书][B] An introduction to optimal designs for social and biomedical research

MPF Berger, WK Wong - 2009 - books.google.com
The increasing cost of research means that scientists are in more urgent need of optimal
design theory to increase the efficiency of parameter estimators and the statistical power of …

Sparse polynomial chaos expansions via compressed sensing and D-optimal design

P Diaz, A Doostan, J Hampton - Computer Methods in Applied Mechanics …, 2018 - Elsevier
In the field of uncertainty quantification, sparse polynomial chaos (PC) expansions are
commonly used by researchers for a variety of purposes, such as surrogate modeling. Ideas …