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Bayesian neural networks (BNNs) hold great promise as a flexible and principled solution to deal with uncertainty when learning from finite data. Among approaches to realize probabilistic inference in deep neural networks, variational Bayes…

Neural networks have revolutionized the field of machine learning with increased predictive capability. In addition to improving the predictions of neural networks, there is a simultaneous demand for reliable uncertainty quantification on…

机器学习 · 计算机科学 2023-08-10 Ethan Ancell , Christopher Bennett , Bert Debusschere , Sapan Agarwal , Park Hays , T. Patrick Xiao

One of the most challenging tasks when adopting Bayesian Networks (BNs) is the one of learning their structure from data. This task is complicated by the huge search space of possible solutions, and by the fact that the problem is NP-hard.…

机器学习 · 计算机科学 2018-08-07 Stefano Beretta , Mauro Castelli , Ivo Goncalves , Roberto Henriques , Daniele Ramazzotti

Solving partial differential equations (PDEs) is the canonical approach for understanding the behavior of physical systems. However, large scale solutions of PDEs using state of the art discretization techniques remains an expensive…

计算工程、金融与科学 · 计算机科学 2021-01-14 Xiaoxuan Zhang , Krishna Garikipati

Bayesian Neural Networks (BNNs) offer probability distributions for model parameters, enabling uncertainty quantification in predictions. However, they often underperform compared to deterministic neural networks. Utilizing mutual learning…

机器学习 · 计算机科学 2024-07-04 Cuong Pham , Cuong C. Nguyen , Trung Le , Dinh Phung , Gustavo Carneiro , Thanh-Toan Do

Macroeconomic data is characterized by a limited number of observations (small T), many time series (big K) but also by featuring temporal dependence. Neural networks, by contrast, are designed for datasets with millions of observations and…

计量经济学 · 经济学 2024-04-04 Niko Hauzenberger , Florian Huber , Karin Klieber , Massimiliano Marcellino

Bayesian neural Networks (BNNs) are a promising method of obtaining statistical uncertainties for neural network predictions but with a higher computational overhead which can limit their practical usage. This work explores the use of high…

机器学习 · 计算机科学 2020-09-09 Himanshu Sharma , Elise Jennings

Bayesian neural networks (BNNs) have become a principal approach to alleviate overconfident predictions in deep learning, but they often suffer from scaling issues due to a large number of distribution parameters. In this paper, we discover…

机器学习 · 计算机科学 2021-12-14 Shiye Lei , Zhuozhuo Tu , Leszek Rutkowski , Feng Zhou , Li Shen , Fengxiang He , Dacheng Tao

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Bayesian networks (BNs) are attractive, because they are graphical and interpretable machine learning models. However, exact inference on BNs is time-consuming, especially for complex problems. To improve the efficiency, we propose a fast…

分布式、并行与集群计算 · 计算机科学 2023-03-14 Jiantong Jiang , Zeyi Wen , Atif Mansoor , Ajmal Mian

The need for function estimation in label-limited settings is common in the natural sciences. At the same time, prior knowledge of function values is often available in these domains. For example, data-free biophysics-based models can be…

机器学习 · 计算机科学 2022-10-17 Hunter Nisonoff , Yixin Wang , Jennifer Listgarten

Measuring the structural parameters (size, total brightness, light concentration, etc.) of galaxies is a significant first step towards a quantitative description of different galaxy populations. In this work, we demonstrate that a Bayesian…

天体物理仪器与方法 · 物理学 2022-07-08 Dimitrios Tanoglidis , Aleksandra Ćiprijanović , Alex Drlica-Wagner

Efficiently quantifying predictive uncertainty in medical images remains a challenge. While Bayesian neural networks (BNN) offer predictive uncertainty, they require substantial computational resources to train. Although Bayesian…

计算机视觉与模式识别 · 计算机科学 2024-11-21 Zeinab Abboud , Herve Lombaert , Samuel Kadoury

Neural Networks (NNs) have provided state-of-the-art results for many challenging machine learning tasks such as detection, regression and classification across the domains of computer vision, speech recognition and natural language…

机器学习 · 统计学 2026-04-21 Ethan Goan , Clinton Fookes

In this study, a Bayesian Network (BN) is considered to represent a nuclear plant mechanical system degradation. It describes a causal representation of the phenomena involved in the degradation process. Inference from such a BN needs to…

统计方法学 · 统计学 2009-05-19 Gilles Celeux , Franck Corset , A. Lannoy , Benoit Ricard

Active learning optimizes the exploration of large parameter spaces by strategically selecting which experiments or simulations to conduct, thus reducing resource consumption and potentially accelerating scientific discovery. A key…

机器学习 · 计算机科学 2024-05-20 Maxim Ziatdinov

Bayesian network (BN) structure learning from complete data has been extensively studied in the literature. However, fewer theoretical results are available for incomplete data, and most are related to the Expectation-Maximisation (EM)…

统计理论 · 数学 2021-07-23 Tjebbe Bodewes , Marco Scutari

A novel method for estimating Bayesian network (BN) parameters from data is presented which provides improved performance on test data. Previous research has shown the value of representing conditional probability distributions (CPDs) via…

机器学习 · 计算机科学 2013-01-14 Geoff A. Jarrad

In processing and manufacturing industries, there has been a large push to produce higher quality products and ensure maximum efficiency of processes. This requires approaches to effectively detect and resolve disturbances to ensure optimal…

机器学习 · 统计学 2021-02-05 Weike Sun , Antonio R. C. Paiva , Peng Xu , Anantha Sundaram , Richard D. Braatz

Computational chemistry has come a long way over the course of several decades, enabling subatomic level calculations particularly with the development of Density Functional Theory (DFT). Recently, machine-learned potentials (MLP) have…