Bayesian experimental design is a fast growing area of research with many real‐world applications. As computational power has increased over the years, so has the development …
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 …
Vibrations of complex structures such as bridges mostly present nonlinear and non- stationary behaviors. Recently, one of the most common techniques to analyze the nonlinear …
Abstract 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 …
Bayesian approaches developed to solve the optimal design of sequential experiments are mathematically elegant but computationally challenging. Recently, techniques using …
X Wang, T Li, S Sun, JM Corchado - Sensors, 2017 - mdpi.com
We review some advances of the particle filtering (PF) algorithm that have been achieved in the last decade in the context of target tracking, with regard to either a single target or …
ABSTRACT Statisticians often use Monte Carlo methods to approximate probability distributions, primarily with Markov chain Monte Carlo and importance sampling. Sequential …
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) …
Particle filtering (PF) is a sequential Monte Carlo method that draws sample (particle) values of state variables of interest to approximate the posterior probability distribution function …