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Combining Bayesian nonparametrics and a forward model selection strategy, we construct parsimonious Bayesian deep networks (PBDNs) that infer capacity-regularized network architectures from the data and require neither cross-validation nor…

机器学习 · 统计学 2019-01-03 Mingyuan Zhou

Artificial neural networks (NNs) have become the de facto standard in machine learning. They allow learning highly nonlinear transformations in a plethora of applications. However, NNs usually only provide point estimates without…

机器学习 · 统计学 2020-09-11 Marco F. Huber

This paper describes and discusses Bayesian Neural Network (BNN). The paper showcases a few different applications of them for classification and regression problems. BNNs are comprised of a Probabilistic Model and a Neural Network. The…

机器学习 · 计算机科学 2018-01-31 Vikram Mullachery , Aniruddh Khera , Amir Husain

A popular theory of perceptual processing holds that the brain learns both a generative model of the world and a paired recognition model using variational Bayesian inference. Most hypotheses of how the brain might learn these models assume…

神经元与认知 · 定量生物学 2021-06-01 Ari S. Benjamin , Konrad P. Kording

Modeling natural phenomena with artificial neural networks (ANNs) often provides highly accurate predictions. However, ANNs often suffer from over-parameterization, complicating interpretation and raising uncertainty issues. Bayesian neural…

机器学习 · 统计学 2025-03-14 Eirik Høyheim , Lars Skaaret-Lund , Solve Sæbø , Aliaksandr Hubin

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

There is increasing interest in learning how human brain networks vary as a function of a continuous trait, but flexible and efficient procedures to accomplish this goal are limited. We develop a Bayesian semiparametric model, which…

统计方法学 · 统计学 2017-02-02 Lu Wang , Daniele Durante , Rex E. Jung , David B. Dunson

We propose using recognition networks for approximate inference inBayesian networks (BNs). A recognition network is a multilayerperception (MLP) trained to predict posterior marginals given observedevidence in a particular BN. The input to…

人工智能 · 计算机科学 2013-01-14 Quaid Morris

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

Bayesian approaches for learning deep neural networks (BNN) have been received much attention and successfully applied to various applications. Particularly, BNNs have the merit of having better generalization ability as well as better…

机器学习 · 统计学 2023-05-25 Insung Kong , Dongyoon Yang , Jongjin Lee , Ilsang Ohn , Gyuseung Baek , Yongdai Kim

We present a new method to approximate posterior probabilities of Bayesian Network using Deep Neural Network. Experiment results on several public Bayesian Network datasets shows that Deep Neural Network is capable of learning joint…

机器学习 · 计算机科学 2018-01-12 Jie Jia , Honggang Zhou , Yunchun Li

Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

人工智能 · 计算机科学 2010-11-08 Jianguo Ding

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

Variational Bayesian neural networks (BNNs) perform variational inference over weights, but it is difficult to specify meaningful priors and approximate posteriors in a high-dimensional weight space. We introduce functional variational…

机器学习 · 计算机科学 2019-03-15 Shengyang Sun , Guodong Zhang , Jiaxin Shi , Roger Grosse

Recent studies seek to provide Graph Neural Network (GNN) interpretability via multiple unsupervised learning models. Due to the scarcity of datasets, current methods easily suffer from learning bias. To solve this problem, we embed a Large…

机器学习 · 计算机科学 2024-07-24 Jiaxing Zhang , Jiayi Liu , Dongsheng Luo , Jennifer Neville , Hua Wei

Sequential neuronal activity underlies a wide range of processes in the brain. Neuroscientific evidence for neuronal sequences has been reported in domains as diverse as perception, motor control, speech, spatial navigation and memory.…

适应与自组织系统 · 物理学 2020-04-03 Sascha Frölich , Dimitrije Marković , Stefan J. Kiebel

Unsupervised learning of hidden representations has been one of the most vibrant research directions in machine learning in recent years. In this work we study the brain-like Bayesian Confidence Propagating Neural Network (BCPNN) model,…

神经与进化计算 · 计算机科学 2021-04-19 Naresh Balaji Ravichandran , Anders Lansner , Pawel Herman

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

计算机视觉与模式识别 · 计算机科学 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

Natural language processing (NLP) can be done using either top-down (theory driven) and bottom-up (data driven) approaches, which we call mechanistic and phenomenological respectively. The approaches are frequently considered to stand in…

计算与语言 · 计算机科学 2019-03-26 Simon Dobnik , John D. Kelleher

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
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