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A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

In many inference problems, the evaluation of complex and costly models is often required. In this context, Bayesian methods have become very popular in several fields over the last years, in order to obtain parameter inversion, model…

Computational Engineering, Finance, and Science · Computer Science 2021-07-21 Luca Martino , Víctor Elvira , Javier López-Santiago , Gustau Camps-Valls

Bayesian inference remains one of the most important tool-kits for any scientist, but increasingly expensive likelihood functions are required for ever-more complex experiments, raising the cost of generating a Monte Carlo sample of the…

Machine Learning · Statistics 2023-05-31 Jesús Torrado , Nils Schöneberg , Jonas El Gammal

We show how to speed up Sequential Monte Carlo (SMC) for Bayesian inference in large data problems by data subsampling. SMC sequentially updates a cloud of particles through a sequence of distributions, beginning with a distribution that is…

Computation · Statistics 2020-03-25 David Gunawan , Khue-Dung Dang , Matias Quiroz , Robert Kohn , Minh-Ngoc Tran

Many exact Markov chain Monte Carlo algorithms have been developed for posterior inference in Bayesian nonparametric models which involve infinite-dimensional priors. However, these methods are not generic and special methodology must be…

Computation · Statistics 2014-05-22 Jim E. Griffin

It is very challenging to select informative features from tens of thousands of measured features in high-throughput data analysis. Recently, several parametric/regression models have been developed utilizing the gene network information to…

Applications · Statistics 2014-08-01 Yize Zhao , Jian Kang , Tianwei Yu

In biomolecular systems (especially all-atom models) with many degrees of freedom such as proteins and nucleic acids, there exist an astronomically large number of local-minimum-energy states. Conventional simulations in the canonical…

Statistical Mechanics · Physics 2010-12-30 Ayori Mitsutake , Yoshiharu Mori , Yuko Okamoto

Decision tree learning is a popular approach for classification and regression in machine learning and statistics, and Bayesian formulations---which introduce a prior distribution over decision trees, and formulate learning as posterior…

Machine Learning · Statistics 2013-08-26 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

Ensembles of deep neural networks demonstrate improved performance over single models. For enhancing the diversity of ensemble members while keeping their performance, particle-based inference methods offer a promising approach from a…

Machine Learning · Computer Science 2022-06-03 Shingo Yashima , Teppei Suzuki , Kohta Ishikawa , Ikuro Sato , Rei Kawakami

Statistical inference methods are fundamentally important in machine learning. Most state-of-the-art inference algorithms are variants of Markov chain Monte Carlo (MCMC) or variational inference (VI). However, both methods struggle with…

Machine Learning · Computer Science 2019-10-17 Yichuan Zhang , José Miguel Hernández-Lobato

The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in competition. In Bayesian inference, first and foremost, MCMC…

Computation · Statistics 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

Approximate Bayesian inference for neural networks is considered a robust alternative to standard training, often providing good performance on out-of-distribution data. However, Bayesian neural networks (BNNs) with high-fidelity…

Machine Learning · Computer Science 2021-12-07 Pavel Izmailov , Patrick Nicholson , Sanae Lotfi , Andrew Gordon Wilson

Training multiple deep neural networks (DNNs) and averaging their outputs is a simple way to improve the predictive performance. Nevertheless, the multiplied training cost prevents this ensemble method to be practical and efficient. Several…

Machine Learning · Computer Science 2021-10-27 Feng Wang , Guoyizhe Wei , Qiao Liu , Jinxiang Ou , Xian Wei , Hairong Lv

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

Disordered Systems and Neural Networks · Physics 2024-12-24 Yixiong Ren , Jianhui Zhou

Deep neural networks are powerful predictors for a variety of tasks. However, they do not capture uncertainty directly. Using neural network ensembles to quantify uncertainty is competitive with approaches based on Bayesian neural networks…

Machine Learning · Computer Science 2022-07-05 Romain Egele , Romit Maulik , Krishnan Raghavan , Bethany Lusch , Isabelle Guyon , Prasanna Balaprakash

An ensemble method that fuses the output decision vectors of multiple feedforward-designed convolutional neural networks (FF-CNNs) to solve the image classification problem is proposed in this work. To enhance the performance of the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Yueru Chen , Yijing Yang , Wei Wang , C. -C. Jay Kuo

The algorithm for Monte Carlo simulation of parton-level events based on an Artificial Neural Network (ANN) proposed in arXiv:1810.11509 is used to perform a simulation of $H\to 4\ell$ decay. Improvements in the training algorithm have been…

High Energy Physics - Phenomenology · Physics 2021-02-03 I-Kai Chen , Matthew D. Klimek , Maxim Perelstein

An ensemble inference mechanism is proposed on the Angry Birds domain. It is based on an efficient tree structure for encoding and representing game screenshots, where it exploits its enhanced modeling capability. This has the advantage to…

Artificial Intelligence · Computer Science 2014-08-26 Nikolaos Tziortziotis , Georgios Papagiannis , Konstantinos Blekas

Integrative modeling of macromolecular assemblies allows for structural characterization of large assemblies that are recalcitrant to direct experimental observation. A Bayesian inference approach facilitates combining data from…

Biomolecules · Quantitative Biology 2026-01-13 Shreyas Arvindekar , Kartik Majila , Shruthi Viswanath

Bayesian optimization is a promising methodology for analog circuit synthesis. However, the sequential nature of the Bayesian optimization framework significantly limits its ability to fully utilize real-world computational resources. In…

Machine Learning · Computer Science 2021-06-30 Shuhan Zhang , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng
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