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The deep Boltzmann machine (DBM) has been an important development in the quest for powerful "deep" probabilistic models. To date, simultaneous or joint training of all layers of the DBM has been largely unsuccessful with existing training…

神经与进化计算 · 计算机科学 2012-03-21 Guillaume Desjardins , Aaron Courville , Yoshua Bengio

The restricted Boltzmann machine is a network of stochastic units with undirected interactions between pairs of visible and hidden units. This model was popularized as a building block of deep learning architectures and has continued to…

机器学习 · 计算机科学 2018-06-20 Guido Montufar

We present a theoretical analysis of Gaussian-binary restricted Boltzmann machines (GRBMs) from the perspective of density models. The key aspect of this analysis is to show that GRBMs can be formulated as a constrained mixture of…

神经与进化计算 · 计算机科学 2017-02-06 Nan Wang , Jan Melchior , Laurenz Wiskott

The subspace Restricted Boltzmann Machine (subspaceRBM) is a third-order Boltzmann machine where multiplicative interactions are between one visible and two hidden units. There are two kinds of hidden units, namely, gate units and subspace…

机器学习 · 计算机科学 2014-07-17 Jakub M. Tomczak , Adam Gonczarek

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Deep Boltzmann Machines (DBMs) are generative neural networks with these desired properties. We integrate a DBM…

神经与进化计算 · 计算机科学 2016-08-09 Malte Probst , Franz Rothlauf

Deep Boltzmann machines (DBMs), one of the first ``deep'' learning methods ever studied, are multi-layered probabilistic models governed by a pairwise energy function that describes the likelihood of all variables/nodes in the network. In…

机器学习 · 计算机科学 2023-07-12 Zhili Feng , Ezra Winston , J. Zico Kolter

A restricted Boltzmann machine (RBM) is an undirected graphical model constructed for discrete or continuous random variables, with two layers, one hidden and one visible, and no conditional dependency within a layer. In recent years, RBMs…

机器学习 · 统计学 2019-09-12 Andee Kaplan , Daniel Nordman , Stephen Vardeman

Restricted Boltzmann Machine (RBM) is a bipartite graphical model that is used as the building block in energy-based deep generative models. Due to numerical stability and quantifiability of the likelihood, RBM is commonly used with…

机器学习 · 统计学 2016-11-15 Chun-Liang Li , Siamak Ravanbakhsh , Barnabas Poczos

Building a good generative model for image has long been an important topic in computer vision and machine learning. Restricted Boltzmann machine (RBM) is one of such models that is simple but powerful. However, its restricted form also has…

机器学习 · 计算机科学 2016-11-24 Hengyuan Hu , Lisheng Gao , Quanbin Ma

Restricted Boltzmann Machines (RBMs) and models derived from them have been successfully used as basic building blocks in deep artificial neural networks for automatic features extraction, unsupervised weights initialization, but also as…

神经与进化计算 · 计算机科学 2016-07-20 Decebal Constantin Mocanu , Elena Mocanu , Phuong H. Nguyen , Madeleine Gibescu , Antonio Liotta

We present explicit classes of probability distributions that can be learned by Restricted Boltzmann Machines (RBMs) depending on the number of units that they contain, and which are representative for the expressive power of the model. We…

机器学习 · 统计学 2014-06-13 Guido Montufar , Johannes Rauh , Nihat Ay

Conditional Restricted Boltzmann Machines (CRBMs) are rich probabilistic models that have recently been applied to a wide range of problems, including collaborative filtering, classification, and modeling motion capture data. While much…

机器学习 · 计算机科学 2012-02-20 Volodymyr Mnih , Hugo Larochelle , Geoffrey E. Hinton

A Gaussian restricted Boltzmann machine (GRBM) is a Boltzmann machine defined on a bipartite graph and is an extension of usual restricted Boltzmann machines. A GRBM consists of two different layers: a visible layer composed of continuous…

机器学习 · 统计学 2016-03-21 Chako Takahashi , Muneki Yasuda

Extracting automatically the complex set of features composing real high-dimensional data is crucial for achieving high performance in machine--learning tasks. Restricted Boltzmann Machines (RBM) are empirically known to be efficient for…

数据分析、统计与概率 · 物理学 2017-04-05 Jérôme Tubiana , Rémi Monasson

There are many advantages to use probability method for nonlinear system identification, such as the noises and outliers in the data set do not affect the probability models significantly; the input features can be extracted in probability…

系统与控制 · 计算机科学 2018-06-08 Erick de la Rosa , Wen Yu

The infinite restricted Boltzmann machine (iRBM) is an extension of the classic RBM. It enjoys a good property of automatically deciding the size of the hidden layer according to specific training data. With sufficient training, the iRBM…

机器学习 · 计算机科学 2018-07-30 Xuan Peng , Xunzhang Gao , Xiang Li

Unsupervised neural networks, such as restricted Boltzmann machines (RBMs) and deep belief networks (DBNs), are powerful tools for feature selection and pattern recognition tasks. We demonstrate that overfitting occurs in such models just…

机器学习 · 计算机科学 2017-02-20 Baiyang Wang , Diego Klabjan

An extreme learning machine (ELM) is a three-layered feed-forward neural network having untrained parameters, which are randomly determined before training. Inspired by the idea of ELM, a probabilistic untrained layer called a…

机器学习 · 计算机科学 2022-10-28 Yuri Kanno , Muneki Yasuda

Stochastic gradient descent based algorithms are typically used as the general optimization tools for most deep learning models. A Restricted Boltzmann Machine (RBM) is a probabilistic generative model that can be stacked to construct deep…

机器学习 · 统计学 2017-04-07 Kai Fan

Gaussian-Bernoulli restricted Boltzmann machines (GBRBMs) are often used for semi-supervised anomaly detection, where they are trained using only normal data points. In GBRBM-based anomaly detection, normal and anomalous data are classified…

机器学习 · 计算机科学 2024-03-20 Kaiji Sekimoto , Muneki Yasuda