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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

Restricted Boltzmann machines (RBMs) and their variants are usually trained by contrastive divergence (CD) learning, but the training procedure is an unsupervised learning approach, without any guidances of the background knowledge. To…

机器学习 · 计算机科学 2018-12-06 Jielei Chu , Hongjun Wang , Hua Meng , Peng Jin , Tianrui Li

We revisit the challenging problem of training Gaussian-Bernoulli restricted Boltzmann machines (GRBMs), introducing two innovations. We propose a novel Gibbs-Langevin sampling algorithm that outperforms existing methods like Gibbs…

机器学习 · 计算机科学 2022-10-20 Renjie Liao , Simon Kornblith , Mengye Ren , David J. Fleet , Geoffrey Hinton

Many real-world tasks, from associative memory to symbolic reasoning, benefit from discrete, structured representations that standard continuous latent models can struggle to express. We introduce the Gaussian-Multinoulli Restricted…

机器学习 · 计算机科学 2026-03-11 Nikhil Kapasi , Mohamed Elfouly , William Whitehead , Luke Theogarajan

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

机器学习 · 计算机科学 2014-04-10 David Buchaca , Enrique Romero , Ferran Mazzanti , Jordi Delgado

By exploiting the property that the RBM log-likelihood function is the difference of convex functions, we formulate a stochastic variant of the difference of convex functions (DC) programming to minimize the negative log-likelihood.…

机器学习 · 计算机科学 2017-10-06 Vidyadhar Upadhya , P. S. Sastry

Restricted Boltzmann Machines (RBMs) are probabilistic generative models that can be trained by maximum likelihood in principle, but are usually trained by an approximate algorithm called Contrastive Divergence (CD) in practice. In general,…

机器学习 · 计算机科学 2022-11-07 Charles K. Fisher

Learning algorithms for energy based Boltzmann architectures that rely on gradient descent are in general computationally prohibitive, typically due to the exponential number of terms involved in computing the partition function. In this…

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

A restricted Boltzmann machine (RBM) is a generative neural-network model with many novel applications such as collaborative filtering and acoustic modeling. An RBM lacks the capacity to retain memory, making it inappropriate for dynamic…

机器学习 · 统计学 2018-05-01 Jefferson Hernandez , Andres G. Abad

This study investigates the efficacy of Conditional Restricted Boltzmann Machines (CRBMs) for modeling high-dimensional financial time series and detecting systemic risk regimes. We extend the classical application of static Restricted…

统计金融 · 定量金融 2026-01-01 Siddhartha Srinivas Rentala

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

神经与进化计算 · 计算机科学 2015-07-27 E. Romero , F. Mazzanti , J. Delgado

Estimating the log-likelihood gradient with respect to the parameters of a Restricted Boltzmann Machine (RBM) typically requires sampling using Markov Chain Monte Carlo (MCMC) techniques. To save computation time, the Markov chains are only…

机器学习 · 计算机科学 2017-06-29 Oswin Krause , Asja Fischer , Christian Igel

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

A restricted Boltzmann machine (RBM) is a two-layer neural network with shared weights and has been extensively studied for dimensionality reduction, data representation and recommendation systems in the literature. The traditional RBM…

机器学习 · 计算机科学 2026-05-27 Jiangsheng You , Chun-Yen Liu

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…

计算机视觉与模式识别 · 计算机科学 2016-09-28 Simeng Liu , Yanfeng Sun , Yongli Hu , Junbin Gao , Baocai Yin

Learning RBMs using standard algorithms such as CD(k) involves gradient descent on the negative log-likelihood. One of the terms in the gradient, which involves expectation w.r.t. the model distribution, is intractable and is obtained…

机器学习 · 计算机科学 2019-10-02 Vidyadhar Upadhya , P. S. Sastry

Restricted Boltzmann Machine (RBM) is an energy based, undirected graphical model. It is commonly used for unsupervised and supervised machine learning. Typically, RBM is trained using contrastive divergence (CD). However, training with CD…

机器学习 · 计算机科学 2021-07-02 Vivek Dixit , Raja Selvarajan , Muhammad A. Alam , Travis S. Humble , Sabre Kais

We present an efficient classical algorithm for training deep Boltzmann machines (DBMs) that uses rejection sampling in concert with variational approximations to estimate the gradients of the training objective function. Our algorithm is…

机器学习 · 计算机科学 2015-07-10 Nathan Wiebe , Ashish Kapoor , Christopher Granade , Krysta M Svore

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
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