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Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

机器学习 · 计算机科学 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

机器学习 · 计算机科学 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

Active learning, an iterative process of selecting the most informative data points for exploration, is crucial for efficient characterization of materials and chemicals property space. Neural networks excel at predicting these properties…

无序系统与神经网络 · 物理学 2025-06-02 Sarah I. Allec , Maxim Ziatdinov

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

机器学习 · 计算机科学 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

机器学习 · 计算机科学 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

Artificial neural networks (ANNs) are powerful machine learning methods used in many modern applications such as facial recognition, machine translation, and cancer diagnostics. A common issue with ANNs is that they usually have millions or…

机器学习 · 统计学 2023-05-08 Lars Skaaret-Lund , Geir Storvik , Aliaksandr Hubin

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…

机器学习 · 计算机科学 2021-12-07 Pavel Izmailov , Patrick Nicholson , Sanae Lotfi , Andrew Gordon Wilson

Despite recent advances, sampling-based inference for Bayesian Neural Networks (BNNs) remains a significant challenge in probabilistic deep learning. While sampling-based approaches do not require a variational distribution assumption,…

机器学习 · 计算机科学 2025-02-11 Emanuel Sommer , Jakob Robnik , Giorgi Nozadze , Uros Seljak , David Rügamer

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 recent times, neural networks have become a powerful tool for the analysis of complex and abstract data models. However, their introduction intrinsically increases our uncertainty about which features of the analysis are model-related…

机器学习 · 统计学 2020-11-09 Tom Charnock , Laurence Perreault-Levasseur , François Lanusse

Bayesian neural networks (BNNs) have been an important framework in the study of uncertainty quantification. Deterministic variational inference, one of the inference methods, utilizes moment propagation to compute the predictive…

机器学习 · 计算机科学 2022-11-28 Yuki Hirayama , Sinya Takamaeda-Yamazaki

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

We propose a new Bayesian Neural Net formulation that affords variational inference for which the evidence lower bound is analytically tractable subject to a tight approximation. We achieve this tractability by (i) decomposing ReLU…

机器学习 · 统计学 2019-06-13 Manuel Haussmann , Fred A. Hamprecht , Melih Kandemir

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

机器学习 · 计算机科学 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

In conducting non-linear dimensionality reduction and feature learning, it is common to suppose that the data lie near a lower-dimensional manifold. A class of model-based approaches for such problems includes latent variables in an unknown…

机器学习 · 统计学 2020-08-20 Deborshee Sen , Theodore Papamarkou , David Dunson

Deep Bayesian neural networks (BNNs) are a powerful tool, though computationally demanding, to perform parameter estimation while jointly estimating uncertainty around predictions. BNNs are typically implemented using arbitrary…

机器学习 · 计算机科学 2020-05-12 Daniele Silvestro , Tobias Andermann

Bayesian Neural Networks (BNNs) have become one of the promising approaches for uncertainty estimation due to the solid theorical foundations. However, the performance of BNNs is affected by the ability of catching uncertainty. Instead of…

机器学习 · 计算机科学 2024-04-15 Shiyu Shen , Bin Pan , Tianyang Shi , Tao Li , Zhenwei Shi

Convolutional neural networks (CNNs) provide flexible function approximations for a wide variety of applications when the input variables are in the form of images or spatial data. Although CNNs often outperform traditional statistical…

统计方法学 · 统计学 2024-05-24 Yeseul Jeon , Won Chang , Seonghyun Jeong , Sanghoon Han , Jaewoo Park

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

图像与视频处理 · 电气工程与系统科学 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

This paper introduces Bayesian Flow Networks (BFNs), a new class of generative model in which the parameters of a set of independent distributions are modified with Bayesian inference in the light of noisy data samples, then passed as input…

机器学习 · 计算机科学 2025-03-12 Alex Graves , Rupesh Kumar Srivastava , Timothy Atkinson , Faustino Gomez