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The Restricted Boltzmann Machine (RBM), an important tool used in machine learning in particular for unsupervized learning tasks, is investigated from the perspective of its spectral properties. Starting from empirical observations, we…

无序系统与神经网络 · 物理学 2018-01-17 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

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

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

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

The Restricted Boltzmann Machine (RBM) is one of the simplest generative neural networks capable of learning input distributions. Despite its simplicity, the analysis of its performance in learning from the training data is only well…

机器学习 · 计算机科学 2025-11-13 Yizhou Xu , Florent Krzakala , Lenka Zdeborová

The restricted Boltzmann machine (RBM) is one of the fundamental building blocks of deep learning. RBM finds wide applications in dimensional reduction, feature extraction, and recommender systems via modeling the probability distributions…

强关联电子 · 物理学 2018-02-07 Jing Chen , Song Cheng , Haidong Xie , Lei Wang , Tao Xiang

Restricted Boltzmann Machine (RBM) is an importan- t generative model modeling vectorial data. While applying an RBM in practice to images, the data have to be vec- torized. This results in high-dimensional data and valu- able spatial…

计算机视觉与模式识别 · 计算机科学 2016-01-06 Guanglei Qi , Yanfeng Sun , Junbin Gao , Yongli Hu , Jinghua Li

Graphical models are a rich language for describing high-dimensional distributions in terms of their dependence structure. While there are algorithms with provable guarantees for learning undirected graphical models in a variety of…

机器学习 · 计算机科学 2018-11-07 Guy Bresler , Frederic Koehler , Ankur Moitra , Elchanan Mossel

We investigate the thermodynamic properties of a Restricted Boltzmann Machine (RBM), a simple energy-based generative model used in the context of unsupervised learning. Assuming the information content of this model to be mainly reflected…

无序系统与神经网络 · 物理学 2018-08-20 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

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

Restricted Boltzmann Machines (RBMs) are a common family of undirected graphical models with latent variables. An RBM is described by a bipartite graph, with all observed variables in one layer and all latent variables in the other. We…

机器学习 · 计算机科学 2020-10-20 Guy Bresler , Rares-Darius Buhai

Many computer vision applications involve modeling complex spatio-temporal patterns in high-dimensional motion data. Recently, restricted Boltzmann machines (RBMs) have been widely used to capture and represent spatial patterns in a single…

计算机视觉与模式识别 · 计算机科学 2017-10-24 Siqi Nie , Ziheng Wang , Qiang Ji

Classification of sequence data is the topic of interest for dynamic Bayesian models and Recurrent Neural Networks (RNNs). While the former can explicitly model the temporal dependencies between class variables, the latter have a capability…

机器学习 · 计算机科学 2018-03-12 Son N. Tran , Srikanth Cherla , Artur Garcez , Tillman Weyde

Restricted Boltzmann Machines (RBMs) are widely used probabilistic undirected graphical models with visible and latent nodes, playing an important role in statistics and machine learning. The task of structure learning for RBMs involves…

量子物理 · 物理学 2023-09-26 Liming Zhao , Aman Agrawal , Patrick Rebentrost

Restricted Boltzmann machines (RBM) and deep Boltzmann machines (DBM) are important models in machine learning, and recently found numerous applications in quantum many-body physics. We show that there are fundamental connections between…

统计力学 · 物理学 2021-09-01 Sujie Li , Feng Pan , Pengfei Zhou , Pan Zhang

This is a tutorial and survey paper on Boltzmann Machine (BM), Restricted Boltzmann Machine (RBM), and Deep Belief Network (DBN). We start with the required background on probabilistic graphical models, Markov random field, Gibbs sampling,…

机器学习 · 计算机科学 2022-08-09 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

A Restricted Boltzmann Machine (RBM) is an unsupervised machine-learning bipartite graphical model that jointly learns a probability distribution over data and extracts their relevant statistical features. As such, RBM were recently…

机器学习 · 计算机科学 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

The deep extension of the restricted Boltzmann machine (RBM), known as the deep Boltzmann machine (DBM), is an expressive family of machine learning models which can serve as compact representations of complex probability distributions.…

机器学习 · 计算机科学 2021-02-18 Haik Manukian , Massimiliano Di Ventra

In this study, a novel machine learning algorithm, restricted Boltzmann machine (RBM), is introduced. The algorithm is applied for the spectral classification in astronomy. RBM is a bipartite generative graphical model with two separate…

机器学习 · 计算机科学 2013-10-15 Fuqiang Chen , Yan Wu , Yude Bu , Guodong Zhao

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
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