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Restricted Boltzmann Machines are generative models that consist of a layer of hidden variables connected to another layer of visible units, and they are used to model the distribution over visible variables. In order to gain a higher…

Computer Vision and Pattern Recognition · Computer Science 2023-06-20 Arkaitz Bidaurrazaga , Aritz Pérez , Roberto Santana

Understanding the results of deep neural networks is an essential step towards wider acceptance of deep learning algorithms. Many approaches address the issue of interpreting artificial neural networks, but often provide divergent…

Machine Learning · Computer Science 2021-11-16 Vadim Borisov , Johannes Meier , Johan van den Heuvel , Hamed Jalali , Gjergji Kasneci

We developed an adaptive structure learning method of Restricted Boltzmann Machine (RBM) which can generate/annihilate neurons by self-organizing learning method according to input patterns. Moreover, the adaptive Deep Belief Network (DBN)…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Shin Kamada , Takumi Ichimura

Conditional restricted Boltzmann machines are undirected stochastic neural networks with a layer of input and output units connected bipartitely to a layer of hidden units. These networks define models of conditional probability…

Neural and Evolutionary Computing · Computer Science 2015-03-13 Guido Montufar , Nihat Ay , Keyan Ghazi-Zahedi

Deep Belief Network (DBN) has a deep architecture that represents multiple features of input patterns hierarchically with the pre-trained Restricted Boltzmann Machines (RBM). A traditional RBM or DBN model cannot change its network…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Shin Kamada , Takumi Ichimura

Restricted Boltzmann Machines (RBMs) are a class of generative neural network that are typically trained to maximize a log-likelihood objective function. We argue that likelihood-based training strategies may fail because the objective does…

Machine Learning · Statistics 2018-04-25 Charles K. Fisher , Aaron M. Smith , Jonathan R. Walsh

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…

Neural and Evolutionary Computing · Computer Science 2012-03-21 Guillaume Desjardins , Aaron Courville , Yoshua Bengio

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…

Disordered Systems and Neural Networks · Physics 2018-01-17 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

Nowadays this is very popular to use deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training data.…

Machine Learning · Computer Science 2015-08-21 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

We study a generic ensemble of deep belief networks which is parametrized by the distribution of energy levels of the hidden states of each layer. We show that, within a random energy approach, statistical dependence can propagate from the…

Disordered Systems and Neural Networks · Physics 2022-08-17 Rongrong Xie , Matteo Marsili

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…

Machine Learning · Computer Science 2020-10-20 Guy Bresler , Rares-Darius Buhai

Deep Learning has the hierarchical network architecture to represent the complicated features of input patterns. Such architecture is well known to represent higher learning capability compared with some conventional models if the best set…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Takumi Ichimura , Shin Kamada

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…

Machine Learning · Computer Science 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Restricted Boltzmann Machine (RBM) is a particular type of random neural network models modeling vector data based on the assumption of Bernoulli distribution. For multi-dimensional and non-binary data, it is necessary to vectorize and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-28 Simeng Liu , Yanfeng Sun , Yongli Hu , Junbin Gao , Baocai Yin

Current statistical models for structured prediction make simplifying assumptions about the underlying output graph structure, such as assuming a low-order Markov chain, because exact inference becomes intractable as the tree-width of the…

Machine Learning · Computer Science 2010-03-26 Xu Miao , Rajesh P. N. Rao

Developing Intelligent Systems involves artificial intelligence approaches including artificial neural networks. Here, we present a tutorial of Deep Neural Networks (DNNs), and some insights about the origin of the term "deep"; references…

Neural and Evolutionary Computing · Computer Science 2016-03-24 Juan C. Cuevas-Tello , Manuel Valenzuela-Rendon , Juan A. Nolazco-Flores

Restricted Boltzmann machines (RBM) are generative models capable to learn data with a rich underlying structure. We study the teacher-student setting where a student RBM learns structured data generated by a teacher RBM. The amount of…

Machine Learning · Computer Science 2025-05-21 Robin Thériault , Francesco Tosello , Daniele Tantari

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…

Machine Learning · Statistics 2016-03-21 Chako Takahashi , Muneki Yasuda

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…

Machine Learning · Computer Science 2012-02-20 Volodymyr Mnih , Hugo Larochelle , Geoffrey E. Hinton

We are interested in exploring the possibility and benefits of structure learning for deep models. As the first step, this paper investigates the matter for Restricted Boltzmann Machines (RBMs). We conduct the study with Replicated Softmax,…

Machine Learning · Computer Science 2018-08-07 Zhourong Chen , Nevin L. Zhang , Dit-Yan Yeung , Peixian Chen