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Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

机器学习 · 统计学 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

Approximate Bayesian computation (ABC) is a popular likelihood-free inference method for models with intractable likelihood functions. As ABC methods usually rely on comparing summary statistics of observed and simulated data, the choice of…

机器学习 · 统计学 2022-06-22 Ayush Bharti , Louis Filstroff , Samuel Kaski

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

Bayesian Neural Networks (BNN) have recently emerged in the Deep Learning world for dealing with uncertainty estimation in classification tasks, and are used in many application domains such as astrophysics, autonomous driving...BNN assume…

机器学习 · 计算机科学 2021-02-04 Claire Theobald , Frédéric Pennerath , Brieuc Conan-Guez , Miguel Couceiro , Amedeo Napoli

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

机器学习 · 统计学 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

Many modern unsupervised or semi-supervised machine learning algorithms rely on Bayesian probabilistic models. These models are usually intractable and thus require approximate inference. Variational inference (VI) lets us approximate a…

机器学习 · 计算机科学 2018-10-24 Cheng Zhang , Judith Butepage , Hedvig Kjellstrom , Stephan Mandt

In many real-world applications, from robotics to pedestrian trajectory prediction, there is a need to predict multiple real-valued outputs to represent several potential scenarios. Current deep learning techniques to address…

机器学习 · 计算机科学 2023-12-20 David D. Nguyen , David Liebowitz , Surya Nepal , Salil S. Kanhere

Uncertainty-aware semantic segmentation of the point clouds includes the predictive uncertainty estimation and the uncertainty-guided model optimization. One key challenge in the task is the efficiency of point-wise predictive distribution…

计算机视觉与模式识别 · 计算机科学 2022-01-20 Chao Qi , Jianqin Yin

Bayesian Neural Networks (BayesNNs) have demonstrated their capability of providing calibrated prediction for safety-critical applications such as medical imaging and autonomous driving. However, the high algorithmic complexity and the poor…

机器学习 · 计算机科学 2023-08-15 Hongxiang Fan , Hao Chen , Liam Castelli , Zhiqiang Que , He Li , Kenneth Long , Wayne Luk

Approximate Bayesian computation (ABC) is an approach for sampling from an approximate posterior distribution in the presence of a computationally intractable likelihood function. A common implementation is based on simulating model,…

统计方法学 · 统计学 2013-01-16 D. Prangle , M. G. B. Blum , G. Popovic , S. A. Sisson

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

统计方法学 · 统计学 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

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…

统计计算 · 统计学 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

Dropout has been demonstrated as a simple and effective module to not only regularize the training process of deep neural networks, but also provide the uncertainty estimation for prediction. However, the quality of uncertainty estimation…

机器学习 · 计算机科学 2021-03-09 Xinjie Fan , Shujian Zhang , Korawat Tanwisuth , Xiaoning Qian , Mingyuan Zhou

Dropout as regularization has been used extensively to prevent overfitting for training neural networks. During training, units and their connections are randomly dropped, which could be considered as sampling many different submodels from…

机器学习 · 计算机科学 2022-04-28 Zhaoyuan Yang , Arpit Jain

Many scientific and engineering problems require to perform Bayesian inferences in function spaces, in which the unknowns are of infinite dimension. In such problems, many standard Markov Chain Monte Carlo (MCMC) algorithms become arbitrary…

数值分析 · 数学 2016-04-12 Zhe Feng , Jinglai Li

One of the major challenges in the Bayesian solution of inverse problems governed by partial differential equations (PDEs) is the computational cost of repeatedly evaluating numerical PDE models, as required by Markov chain Monte Carlo…

统计计算 · 统计学 2016-05-03 Tiangang Cui , Youssef M. Marzouk , Karen E. Willcox

In this paper, we address the challenge of Markov Chain Monte Carlo (MCMC) algorithms within the approximate Bayesian Computation (ABC) framework, which often get trapped in local optima due to their inherent local exploration mechanism. We…

统计计算 · 统计学 2025-12-16 Xuefei Cao , Shijia Wang , Yongdao Zhou

Uncertainty approximation in text classification is an important area with applications in domain adaptation and interpretability. One of the most widely used uncertainty approximation methods is Monte Carlo (MC) Dropout, which is…

机器学习 · 计算机科学 2023-07-20 Andreas Nugaard Holm , Dustin Wright , Isabelle Augenstein

ABC (approximate Bayesian computation) is a general approach for dealing with models with an intractable likelihood. In this work, we derive ABC algorithms based on QMC (quasi- Monte Carlo) sequences. We show that the resulting ABC…

统计计算 · 统计学 2018-05-08 Alexander Buchholz , Nicolas Chopin

Uncertainty quantification in a neural network is one of the most discussed topics for safety-critical applications. Though Neural Networks (NNs) have achieved state-of-the-art performance for many applications, they still provide…

机器学习 · 计算机科学 2022-05-09 Mehedi Hasan , Abbas Khosravi , Ibrahim Hossain , Ashikur Rahman , Saeid Nahavandi