Riemann manifold langevin and hamiltonian monte carlo methods

M Girolami, B Calderhead - … the Royal Statistical Society Series B …, 2011 - academic.oup.com
The paper proposes Metropolis adjusted Langevin and Hamiltonian Monte Carlo sampling
methods defined on the Riemann manifold to resolve the shortcomings of existing Monte …

Variational Fourier features for Gaussian processes

J Hensman, N Durrande, A Solin - Journal of Machine Learning Research, 2018 - jmlr.org
This work brings together two powerful concepts in Gaussian processes: the variational
approach to sparse approximation and the spectral representation of Gaussian processes …

Counting people with low-level features and Bayesian regression

AB Chan, N Vasconcelos - IEEE Transactions on image …, 2011 - ieeexplore.ieee.org
An approach to the problem of estimating the size of inhomogeneous crowds, which are
composed of pedestrians that travel in different directions, without using explicit object …

Bayesian poisson regression for crowd counting

AB Chan, N Vasconcelos - 2009 IEEE 12th international …, 2009 - ieeexplore.ieee.org
Poisson regression models the noisy output of a counting function as a Poisson random
variable, with a log-mean parameter that is a linear function of the input vector. In this work …

[PDF][PDF] GPstuff: Bayesian modeling with Gaussian processes

J Vanhatalo, J Riihimäki, J Hartikainen, P Jylänki… - The Journal of Machine …, 2013 - jmlr.org
GPstuff: Bayesian Modeling with Gaussian Processes Page 1 Journal of Machine Learning
Research 14 (2013) 1175-1179 Submitted 6/12; Revised 10/12; Published 4/13 GPstuff …

MCMC for variationally sparse Gaussian processes

J Hensman, AG Matthews… - Advances in neural …, 2015 - proceedings.neurips.cc
Gaussian process (GP) models form a core part of probabilistic machine learning.
Considerable research effort has been made into attacking three issues with GP models …

[PDF][PDF] Robust Gaussian Process Regression with a Student-t Likelihood.

P Jylänki, J Vanhatalo, A Vehtari - Journal of Machine Learning Research, 2011 - jmlr.org
This paper considers the robust and efficient implementation of Gaussian process
regression with a Student-t observation model, which has a non-log-concave likelihood. The …

Finite-dimensional Gaussian approximation with linear inequality constraints

AF López-Lopera, F Bachoc, N Durrande… - SIAM/ASA Journal on …, 2018 - SIAM
Introducing inequality constraints in Gaussian processes can lead to more realistic
uncertainties in learning a great variety of real-world problems. We consider the finite …

Active learning-assisted neutron spectroscopy with log-Gaussian processes

M Teixeira Parente, G Brandl, C Franz, U Stuhr… - Nature …, 2023 - nature.com
Neutron scattering experiments at three-axes spectrometers (TAS) investigate magnetic and
lattice excitations by measuring intensity distributions to understand the origins of materials …

Hyperpriors for Mat\'ern fields with applications in Bayesian inversion

L Roininen, M Girolami, S Lasanen… - arXiv preprint arXiv …, 2016 - arxiv.org
We introduce non-stationary Mat\'ern field priors with stochastic partial differential equations,
and construct correlation length-scaling with hyperpriors. We model both the hyperprior and …