Be Bayesian by Attachments to Catch More Uncertainty

Fuente: arXiv
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Main Authors: Shen, Shiyu, Pan, Bin, Shi, Tianyang, Li, Tao, Shi, Zhenwei
Format: Preprint
Published: 2023
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author Shen, Shiyu
Pan, Bin
Shi, Tianyang
Li, Tao
Shi, Zhenwei
author_facet Shen, Shiyu
Pan, Bin
Shi, Tianyang
Li, Tao
Shi, Zhenwei
contents 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 only seeking the distribution of neural network weights by in-distribution (ID) data, in this paper, we propose a new Bayesian Neural Network with an Attached structure (ABNN) to catch more uncertainty from out-of-distribution (OOD) data. We first construct a mathematical description for the uncertainty of OOD data according to the prior distribution, and then develop an attached Bayesian structure to integrate the uncertainty of OOD data into the backbone network. ABNN is composed of an expectation module and several distribution modules. The expectation module is a backbone deep network which focuses on the original task, and the distribution modules are mini Bayesian structures which serve as attachments of the backbone. In particular, the distribution modules aim at extracting the uncertainty from both ID and OOD data. We further provide theoretical analysis for the convergence of ABNN, and experimentally validate its superiority by comparing with some state-of-the-art uncertainty estimation methods Code will be made available.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13027
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Be Bayesian by Attachments to Catch More Uncertainty
Shen, Shiyu
Pan, Bin
Shi, Tianyang
Li, Tao
Shi, Zhenwei
Machine Learning
Artificial Intelligence
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 only seeking the distribution of neural network weights by in-distribution (ID) data, in this paper, we propose a new Bayesian Neural Network with an Attached structure (ABNN) to catch more uncertainty from out-of-distribution (OOD) data. We first construct a mathematical description for the uncertainty of OOD data according to the prior distribution, and then develop an attached Bayesian structure to integrate the uncertainty of OOD data into the backbone network. ABNN is composed of an expectation module and several distribution modules. The expectation module is a backbone deep network which focuses on the original task, and the distribution modules are mini Bayesian structures which serve as attachments of the backbone. In particular, the distribution modules aim at extracting the uncertainty from both ID and OOD data. We further provide theoretical analysis for the convergence of ABNN, and experimentally validate its superiority by comparing with some state-of-the-art uncertainty estimation methods Code will be made available.
title Be Bayesian by Attachments to Catch More Uncertainty
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2310.13027