Simulation based optimal design

P Müller - Handbook of Statistics, 2005 - Elsevier
We review simulation based approaches to optimal design, with an emphasis on problems
that cast optimal design as formal decision problems. Under this perspective we approach …

Optimal experimental design: Formulations and computations

X Huan, J Jagalur, Y Marzouk - Acta Numerica, 2024 - cambridge.org
Questions of 'how best to acquire data'are essential to modelling and prediction in the
natural and social sciences, engineering applications, and beyond. Optimal experimental …

Bayesian nonparametric estimation of the probability of discovering new species

A Lijoi, RH Mena, I Prünster - Biometrika, 2007 - academic.oup.com
We consider the problem of evaluating the probability of discovering a certain number of
new species in a new sample of population units, conditional on the number of species …

Bayesian sequential optimal experimental design for nonlinear models using policy gradient reinforcement learning

W Shen, X Huan - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
We present a mathematical framework and computational methods for optimally designing a
finite sequence of experiments. This sequential optimal experimental design (sOED) …

An ED-based protocol for optimal sampling of biodiversity

J Hortal, JM Lobo - Biodiversity & Conservation, 2005 - Springer
While conservation planning requires good biodiversity data, our knowledge of most living
groups is scarce and patchy even in well-sampled regions. Therefore, we need …

Sequential Bayesian optimal experimental design via approximate dynamic programming

X Huan, YM Marzouk - arXiv preprint arXiv:1604.08320, 2016 - arxiv.org
The design of multiple experiments is commonly undertaken via suboptimal strategies, such
as batch (open-loop) design that omits feedback or greedy (myopic) design that does not …

Simulation-based sequential Bayesian design

P Müller, DA Berry, AP Grieve, M Smith… - Journal of statistical …, 2007 - Elsevier
We consider simulation-based methods for exploration and maximization of expected utility
in sequential decision problems. We consider problems which require backward induction …

A gridding method for Bayesian sequential decision problems

AE Brockwell, JB Kadane - Journal of Computational and …, 2003 - Taylor & Francis
This article introduces a numerical method for finding optimal or approximately optimal
decision rules and corresponding expected losses in Bayesian sequential decision …

A new estimator of the discovery probability

S Favaro, A Lijoi, I Prünster - Biometrics, 2012 - academic.oup.com
Species sampling problems have a long history in ecological and biological studies and a
number of issues, including the evaluation of species richness, the design of sampling …

A novel method to handle the effect of uneven sampling effort in biodiversity databases

I Pardo, MP Pata, D Gomez, MB Garcia - PloS one, 2013 - journals.plos.org
How reliable are results on spatial distribution of biodiversity based on databases? Many
studies have evidenced the uncertainty related to this kind of analysis due to sampling effort …