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Likelihood-free methods, such as approximate Bayesian computation, are powerful tools for practical inference problems with intractable likelihood functions. Markov chain Monte Carlo and sequential Monte Carlo variants of approximate…

Computation · Statistics 2019-02-26 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Parallel acquisition systems arise in various applications in order to moderate problems caused by insufficient measurements in single-sensor systems. These systems allow simultaneous data acquisition in multiple sensors, thus alleviating…

Information Theory · Computer Science 2023-08-31 Il Yong Chun , Ben Adcock

Inference of latent feature models in the Bayesian nonparametric setting is generally difficult, especially in high dimensional settings, because it usually requires proposing features from some prior distribution. In special cases, where…

Machine Learning · Statistics 2022-06-14 Michael Minyi Zhang , Sinead A. Williamson , Fernando Perez-Cruz

Complex scientific models where the likelihood cannot be evaluated present a challenge for statistical inference. Over the past two decades, a wide range of algorithms have been proposed for learning parameters in computationally feasible…

Computation · Statistics 2021-12-16 Aden Forrow , Ruth E. Baker

We introduce the sequential neural posterior and likelihood approximation (SNPLA) algorithm. SNPLA is a normalizing flows-based algorithm for inference in implicit models, and therefore is a simulation-based inference method that only…

Machine Learning · Statistics 2021-06-08 Samuel Wiqvist , Jes Frellsen , Umberto Picchini

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

Computation · Statistics 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

In this paper, we study sampling from a posterior derived from a neural network. We propose a new probabilistic model consisting of adding noise at every pre- and post-activation in the network, arguing that the resulting posterior can be…

Machine Learning · Computer Science 2024-07-22 Giovanni Piccioli , Emanuele Troiani , Lenka Zdeborová

This position paper summarizes a recently developed research program focused on inference in the context of data centric science and engineering applications, and forecasts its trajectory forward over the next decade. Often one endeavours…

Computation · Statistics 2021-12-06 Ajay Jasra , Kody J. H. Law , Alexander Tarakanov , Fangyuan Yu

Markov chain Monte Carlo is an inherently serial algorithm. Although likelihood calculations for individual steps can sometimes be parallelized, the serial evolution of the process is widely viewed as incompatible with parallelization,…

Computation · Statistics 2013-12-31 Douglas N. VanDerwerken , Scott C. Schmidler

Bayesian model selection provides a powerful framework for objectively comparing models directly from observed data, without reference to ground truth data. However, Bayesian model selection requires the computation of the marginal…

Methodology · Statistics 2024-01-17 Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra

Monte Carlo methods have become increasingly relevant for control of non-differentiable systems, approximate dynamics models and learning from data. These methods scale to high-dimensional spaces and are effective at the non-convex…

Machine Learning · Computer Science 2022-10-10 Joe Watson , Jan Peters

In Bayesian inverse problems, one aims at characterizing the posterior distribution of a set of unknowns, given indirect measurements. For non-linear/non-Gaussian problems, analytic solutions are seldom available: Sequential Monte Carlo…

Methodology · Statistics 2022-12-26 Alessandro Viani , Adam M Johansen , Alberto Sorrentino

Leveraging the wealth of unlabeled data produced in recent years provides great potential for improving supervised models. When the cost of acquiring labels is high, probabilistic active learning methods can be used to greedily select the…

Machine Learning · Statistics 2021-02-09 Robert Pinsler , Jonathan Gordon , Eric Nalisnick , José Miguel Hernández-Lobato

Markov Chain Monte Carlo (MCMC) sampling from a posterior distribution corresponding to a massive data set can be computationally prohibitive since producing one sample requires a number of operations that is linear in the data size. In…

Machine Learning · Statistics 2017-07-03 Reihaneh Entezari , Radu V. Craiu , Jeffrey S. Rosenthal

Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

Computation · Statistics 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

Bayesian inference without the likelihood evaluation, or likelihood-free inference, has been a key research topic in simulation studies for gaining quantitatively validated simulation models on real-world datasets. As the likelihood…

Methodology · Statistics 2022-11-07 Dongjun Kim , Kyungwoo Song , YoonYeong Kim , Yongjin Shin , Wanmo Kang , Il-Chul Moon , Weonyoung Joo

The approximation of a high-dimensional vector by a small combination of column vectors selected from a fixed matrix has been actively debated in several different disciplines. In this paper, a sampling approach based on the Monte Carlo…

Information Theory · Computer Science 2016-10-05 Tomoyuki Obuchi , Yoshiyuki Kabashima

The rise of artificial intelligence (AI) hinges on the efficient training of modern deep neural networks (DNNs) for non-convex optimization and uncertainty quantification, which boils down to a non-convex Bayesian learning problem. A…

Computation · Statistics 2023-06-01 Wei Deng

We propose a new sampler that integrates the protocol of parallel tempering with the Nos\'e-Hoover (NH) dynamics. The proposed method can efficiently draw representative samples from complex posterior distributions with multiple isolated…

Machine Learning · Statistics 2018-12-10 Rui Luo , Qiang Zhang , Yuanyuan Liu

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

Machine Learning · Statistics 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam