Bayesian learning of parameterised quantum circuits

S Duffield, M Benedetti… - … Learning: Science and …, 2023 - iopscience.iop.org
Currently available quantum computers suffer from constraints including hardware noise
and a limited number of qubits. As such, variational quantum algorithms that utilise a …

Thermodynamic Bayesian Inference

M Aifer, S Duffield, K Donatella, D Melanson… - arXiv preprint arXiv …, 2024 - arxiv.org
A fully Bayesian treatment of complicated predictive models (such as deep neural networks)
would enable rigorous uncertainty quantification and the automation of higher-level tasks …

Guided sequential ABC schemes for intractable Bayesian models

U Picchini, M Tamborrino - Bayesian Analysis, 2024 - projecteuclid.org
Sequential algorithms such as sequential importance sampling (SIS) and sequential Monte
Carlo (SMC) have proven fundamental in Bayesian inference for models not admitting a …

Component-wise iterative ensemble Kalman inversion for static Bayesian models with unknown measurement error covariance

I Botha, MP Adams, D Frazier, DK Tran… - Inverse …, 2023 - iopscience.iop.org
Abstract The ensemble Kalman filter (EnKF) is a Monte Carlo approximation of the Kalman
filter for high dimensional linear Gaussian state space models. EnKF methods have also …

Single-ensemble multilevel Monte Carlo for discrete interacting-particle methods

A Bouillon, T Ingelaere, G Samaey - arXiv preprint arXiv:2405.10146, 2024 - arxiv.org
To solve problems in domains such as filtering, optimization, and posterior sampling,
interacting-particle methods have recently received much attention. These parallelizable …

Ensemble Kalman inversion approximate Bayesian computation

RG Everitt - arXiv preprint arXiv:2407.18721, 2024 - arxiv.org
Approximate Bayesian computation (ABC) is the most popular approach to inferring
parameters in the case where the data model is specified in the form of a simulator. It is not …

Sequential Kalman tuning of the t-preconditioned Crank-Nicolson algorithm: efficient, adaptive and gradient-free inference for Bayesian inverse problems

RDP Grumitt, M Karamanis, U Seljak - Inverse Problems, 2024 - iopscience.iop.org
Abstract Ensemble Kalman Inversion (EKI) has been proposed as an efficient method for the
approximate solution of Bayesian inverse problems with expensive forward models …

Efficient Bayesian Physics Informed Neural Networks for inverse problems via Ensemble Kalman Inversion

A Pensoneault, X Zhu - Journal of Computational Physics, 2024 - Elsevier
Abstract Bayesian Physics Informed Neural Networks (B-PINNs) have gained significant
attention for inferring physical parameters and learning the forward solutions for problems …

Quasi-Newton Sequential Monte Carlo

S Duffield, SS Singh - arXiv preprint arXiv:2211.12580, 2022 - arxiv.org
Sequential Monte Carlo samplers represent a compelling approach to posterior inference in
Bayesian models, due to being parallelisable and providing an unbiased estimate of the …

Optimal Power Management of Battery Energy Storage Systems via Ensemble Kalman Inversion

A Farakhor, I Askari, D Wu… - 2024 American Control …, 2024 - ieeexplore.ieee.org
Optimal power management of battery energy storage systems (BESS) is crucial for their
safe and efficient operation. Numerical optimization techniques are frequently utilized to …