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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

Generalization is one of the most important issues in machine learning problems. In this study, we consider generalization in restricted Boltzmann machines (RBMs). We propose an RBM with multivalued hidden variables, which is a simple…

机器学习 · 统计学 2020-01-09 Yuuki Yokoyama , Tomu Katsumata , Muneki Yasuda

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

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

We introduce a new method for training deep Boltzmann machines jointly. Prior methods require an initial learning pass that trains the deep Boltzmann machine greedily, one layer at a time, or do not perform well on classifi- cation tasks.

机器学习 · 统计学 2012-12-13 Ian Goodfellow , Aaron Courville , Yoshua Bengio

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

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

We introduce a Deep Boltzmann Machine model suitable for modeling and extracting latent semantic representations from a large unstructured collection of documents. We overcome the apparent difficulty of training a DBM with judicious…

机器学习 · 计算机科学 2013-09-27 Nitish Srivastava , Ruslan R Salakhutdinov , Geoffrey E. Hinton

The restricted Boltzmann machine is a basic machine learning tool able, in principle, to model the distribution of some arbitrary dataset. Its standard training procedure appears however delicate and obscure in many respects. We bring some…

无序系统与神经网络 · 物理学 2021-11-18 Aurélien Decelle , Cyril Furtlehner

We present a mathematical construction for the restricted Boltzmann machine (RBM) that doesn't require specifying the number of hidden units. In fact, the hidden layer size is adaptive and can grow during training. This is obtained by first…

机器学习 · 计算机科学 2016-03-21 Marc-Alexandre Côté , Hugo Larochelle

Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model is usually not…

机器学习 · 计算机科学 2022-09-27 Lennart Dabelow , Masahito Ueda

We extend the framework of Boltzmann machines to a network of complex-valued neurons with variable amplitudes, referred to as Complex Amplitude-Phase Boltzmann machine (CAP-BM). The model is capable of performing unsupervised learning on…

机器学习 · 统计学 2020-05-06 Zengyi Li , Friedrich T. Sommer

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

Multimodal learning with deep Boltzmann machines (DBMs) is an generative approach to fuse multimodal inputs, and can learn the shared representation via Contrastive Divergence (CD) for classification and information retrieval tasks.…

机器学习 · 计算机科学 2015-03-30 Gang Chen , Sargur N. Srihari

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

Graphical models are powerful tools for modeling high-dimensional data, but learning graphical models in the presence of latent variables is well-known to be difficult. In this work we give new results for learning Restricted Boltzmann…

机器学习 · 计算机科学 2020-07-28 Surbhi Goel , Adam Klivans , Frederic Koehler

We present a layered Boltzmann machine (BM) that can better exploit the advantages of a distributed representation. It is widely believed that deep BMs (DBMs) have far greater representational power than its shallow counterpart, restricted…

神经与进化计算 · 计算机科学 2015-06-23 Taichi Kiwaki

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

Deep learning techniques have been paramount in the last years, mainly due to their outstanding results in a number of applications, that range from speech recognition to face-based user identification. Despite other techniques employed for…

机器学习 · 计算机科学 2016-09-06 Leandro Aparecido Passos Junior , Joao Paulo Papa

Restricted Boltzmann Machines (RBMs) are powerful tools for modeling complex systems and extracting insights from data, but their training is hindered by the slow mixing of Markov Chain Monte Carlo (MCMC) processes, especially with highly…

机器学习 · 计算机科学 2025-12-09 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Lorenzo Rosset , Beatriz Seoane