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Finding effective ways to exploit parallel computing to accelerate Markov chain Monte Carlo methods is an important problem in Bayesian computation and related disciplines. In this paper, we consider the zeroth-order setting where the…

Computation · Statistics 2026-01-28 Francesco Pozza , Giacomo Zanella

Modern object detection and instance segmentation networks stumble when picking out humans in crowded or highly occluded scenes. Yet, these are often scenarios where we require our detectors to work well. Many works have approached this…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Evan Ling , Dezhao Huang , Minhoe Hur

For Bayesian computation in big data contexts, the divide-and-conquer MCMC concept splits the whole data set into batches, runs MCMC algorithms separately over each batch to produce samples of parameters, and combines them to produce an…

Computation · Statistics 2019-11-25 Wu Changye , Christian P. Robert

We focus on generative autoencoders, such as variational or adversarial autoencoders, which jointly learn a generative model alongside an inference model. Generative autoencoders are those which are trained to softly enforce a prior on the…

Machine Learning · Computer Science 2017-01-13 Antonia Creswell , Kai Arulkumaran , Anil Anthony Bharath

We study the computational complexity of Markov chain Monte Carlo (MCMC) methods for high-dimensional Bayesian linear regression under sparsity constraints. We first show that a Bayesian approach can achieve variable-selection consistency…

Statistics Theory · Mathematics 2015-06-01 Yun Yang , Martin J. Wainwright , Michael I. Jordan

We propose a practical and scalable Gaussian process model for large-scale nonlinear probabilistic regression. Our mixture-of-experts model is conceptually simple and hierarchically recombines computations for an overall approximation of a…

Machine Learning · Statistics 2014-12-10 Jun Wei Ng , Marc Peter Deisenroth

We propose a methodology to parallelize Hamiltonian Monte Carlo estimators. Our approach constructs a pair of Hamiltonian Monte Carlo chains that are coupled in such a way that they meet exactly after some random number of iterations. These…

Computation · Statistics 2018-08-28 Jeremy Heng , Pierre E. Jacob

We propose a new class of learning algorithms that combines variational approximation and Markov chain Monte Carlo (MCMC) simulation. Naive algorithms that use the variational approximation as proposal distribution can perform poorly…

Machine Learning · Computer Science 2013-01-14 Nando de Freitas , Pedro Hojen-Sorensen , Michael I. Jordan , Stuart Russell

Recent developments in big data and analytics research have produced an abundance of large data sets that are too big to be analyzed in their entirety, due to limits on computer memory or storage capacity. To address these issues,…

Methodology · Statistics 2016-01-06 Alexey Miroshnikov , Erin M. Conlon

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

Convolution and cross-correlation are the basis of filtering and pattern or template matching in multimedia signal processing. We propose two throughput scaling options for any one-dimensional convolution kernel in programmable processors…

Multimedia · Computer Science 2012-01-17 Mohammad Ashraful Anam , Yiannis Andreopoulos

Bayesian learning in undirected graphical models|computing posterior distributions over parameters and predictive quantities is exceptionally difficult. We conjecture that for general undirected models, there are no tractable MCMC (Markov…

Machine Learning · Computer Science 2012-07-19 Iain Murray , Zoubin Ghahramani

In many real-world engineering systems, the performance or reliability of the system is characterised by a scalar parameter. The distribution of this performance parameter is important in many uncertainty quantification problems, ranging…

Methodology · Statistics 2022-10-03 Robert Millar , Jinglai Li , Hui Li

Dirichlet Process Mixture Models (DPMMs) are widely used to address clustering problems. Their main advantage lies in their ability to automatically estimate the number of clusters during the inference process through the Bayesian…

Machine Learning · Statistics 2023-12-19 Reda Khoufache , Mustapha Lebbah , Hanene Azzag , Etienne Goffinet , Djamel Bouchaffra

Markov chain Monte Carlo (MCMC) produces a correlated sample for estimating expectations with respect to a target distribution. A fundamental question is when should sampling stop so that we have good estimates of the desired quantities?…

Statistics Theory · Mathematics 2017-10-02 Dootika Vats , James M. Flegal , Galin L. Jones

We consider the problem of inferring a latent function in a probabilistic model of data. When dependencies of the latent function are specified by a Gaussian process and the data likelihood is complex, efficient computation often involve…

Machine Learning · Statistics 2018-07-23 Martin Tegner , Benjamin Bloem-Reddy , Stephen Roberts

We propose a coupled rejection-sampling method for sampling from couplings of arbitrary distributions. The method relies on accepting or rejecting coupled samples coming from dominating marginals. Contrary to existing acceptance-rejection…

Methodology · Statistics 2022-03-11 Adrien Corenflos , Simo Särkkä

We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Adam Moss

Sampling from the full posterior distribution of high-dimensional non-linear, non-Gaussian latent dynamical models presents significant computational challenges. While Particle Gibbs (also known as conditional sequential Monte Carlo) is…

Computation · Statistics 2025-03-05 Adrien Corenflos , Simo Särkkä

Bayesian mixture models are widely applied for unsupervised learning and exploratory data analysis. Markov chain Monte Carlo based on Gibbs sampling and split-merge moves are widely used for inference in these models. However, both methods…

Machine Learning · Statistics 2014-06-03 Tue Herlau , Morten Mørup , Yee Whye Teh , Mikkel N. Schmidt