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相关论文: Dropout as a Bayesian Approximation: Appendix

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Bayesian neural networks utilize probabilistic layers that capture uncertainty over weights and activations, and are trained using Bayesian inference. Since these probabilistic layers are designed to be drop-in replacement of their…

机器学习 · 计算机科学 2021-06-28 Daniel T. Chang

Deep learning systems are known to exhibit implicit regularization (alt. implicit bias), favoring simple solutions instead of merely minimizing the loss function. In some cases, we can analytically derive the implicit regularization --…

机器学习 · 统计学 2026-05-08 Joseph H. Rudoler , Kevin Tan , Giles Hooker , Konrad P. Kording

Deep neural networks offer numerous potential applications across geoscience, for example, one could argue that they are the state-of-the-art method for predicting faults in seismic datasets. In quantitative reservoir characterization…

机器学习 · 计算机科学 2021-05-26 Lukas Mosser , Ehsan Zabihi Naeini

We consider deep neural networks in a Bayesian framework with a prior distribution sampling the network weights at random. Following a recent idea of Agapiou and Castillo (2023), who show that heavy-tailed prior distributions achieve…

机器学习 · 统计学 2025-04-16 Ismaël Castillo , Paul Egels

We study Bayesian hypernetworks: a framework for approximate Bayesian inference in neural networks. A Bayesian hypernetwork $\h$ is a neural network which learns to transform a simple noise distribution, $p(\vec\epsilon) = \N(\vec 0,\mat…

Dropout is a very effective way of regularizing neural networks. Stochastically "dropping out" units with a certain probability discourages over-specific co-adaptations of feature detectors, preventing overfitting and improving network…

神经与进化计算 · 计算机科学 2017-08-04 Pietro Morerio , Jacopo Cavazza , Riccardo Volpi , Rene Vidal , Vittorio Murino

Uncertainty quantification is essential for robotic perception, as overconfident or point estimators can lead to collisions and damages to the environment and the robot. In this paper, we evaluate scalable approaches to uncertainty…

计算机视觉与模式识别 · 计算机科学 2021-12-16 Javier Rodríguez-Puigvert , Rubén Martínez-Cantín , Javier Civera

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 is a simple but effective technique for learning in neural networks and other settings. A sound theoretical understanding of dropout is needed to determine when dropout should be applied and how to use it most effectively. In this…

机器学习 · 计算机科学 2017-02-21 David P. Helmbold , Philip M. Long

The recently introduced dropout training criterion for neural networks has been the subject of much attention due to its simplicity and remarkable effectiveness as a regularizer, as well as its interpretation as a training procedure for an…

机器学习 · 统计学 2014-01-03 David Warde-Farley , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

Gaussian multiplicative noise is commonly used as a stochastic regularisation technique in training of deterministic neural networks. A recent paper reinterpreted the technique as a specific algorithm for approximate inference in Bayesian…

机器学习 · 统计学 2017-11-09 Jiri Hron , Alexander G. de G. Matthews , Zoubin Ghahramani

Dropout is designed to relieve the overfitting problem in high-level vision tasks but is rarely applied in low-level vision tasks, like image super-resolution (SR). As a classic regression problem, SR exhibits a different behaviour as…

计算机视觉与模式识别 · 计算机科学 2022-04-21 Xiangtao Kong , Xina Liu , Jinjin Gu , Yu Qiao , Chao Dong

It is important to understand how the popular regularization method dropout helps the neural network training find a good generalization solution. In this work, we show that the training with dropout finds the neural network with a flatter…

机器学习 · 计算机科学 2022-05-24 Zhongwang Zhang , Hanxu Zhou , Zhi-Qin John Xu

As one of standard approaches to train deep neural networks, dropout has been applied to regularize large models to avoid overfitting, and the improvement in performance by dropout has been explained as avoiding co-adaptation between nodes.…

机器学习 · 计算机科学 2019-10-10 Sangchul Hahn , Heeyoul Choi

Transformer has become ubiquitous due to its dominant performance in various NLP and image processing tasks. However, it lacks understanding of how to generate mathematically grounded uncertainty estimates for transformer architectures.…

计算与语言 · 计算机科学 2022-06-03 Karthik Abinav Sankararaman , Sinong Wang , Han Fang

Understanding and interpreting how machine learning (ML) models make decisions have been a big challenge. While recent research has proposed various technical approaches to provide some clues as to how an ML model makes individual…

机器学习 · 计算机科学 2018-11-09 Wenbo Guo , Sui Huang , Yunzhe Tao , Xinyu Xing , Lin Lin

Uncertainty estimation in Neural Networks (NNs) is vital in improving reliability and confidence in predictions, particularly in safety-critical applications. Bayesian Neural Networks (BayNNs) with Dropout as an approximation offer a…

In order to develop complex relationships between their inputs and outputs, deep neural networks train and adjust large number of parameters. To make these networks work at high accuracy, vast amounts of data are needed. Sometimes, however,…

机器学习 · 计算机科学 2022-01-19 Joshua Shunk

In industrial machine learning pipelines, data often arrive in parts. Particularly in the case of deep neural networks, it may be too expensive to train the model from scratch each time, so one would rather use a previously learned model…

We explore the utility of information contained within a dropout based Bayesian neural network (BNN) for the task of detecting out of distribution (OOD) data. We first show how previous attempts to leverage the randomized embeddings induced…

机器学习 · 计算机科学 2022-02-21 Andre T. Nguyen , Fred Lu , Gary Lopez Munoz , Edward Raff , Charles Nicholas , James Holt