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The Boltzmann Machine (BM) is a neural network composed of stochastically firing neurons that can learn complex probability distributions by adapting the synaptic interactions between the neurons. BMs represent a very generic class of…

介观与纳米尺度物理 · 物理学 2021-09-16 Brian Kiraly , Elze J. Knol , Hilbert J. Kappen , Alexander A. Khajetoorians

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

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

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

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) 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

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

Restricted Boltzmann machines (RBMs) are energy-based neural-networks which are commonly used as the building blocks for deep architectures neural architectures. In this work, we derive a deterministic framework for the training,…

机器学习 · 计算机科学 2018-10-17 Eric W. Tramel , Marylou Gabrié , Andre Manoel , Francesco Caltagirone , Florent Krzakala

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…

机器学习 · 计算机科学 2021-11-16 Vadim Borisov , Johannes Meier , Johan van den Heuvel , Hamed Jalali , Gjergji Kasneci

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

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…

机器学习 · 计算机科学 2025-05-21 Robin Thériault , Francesco Tosello , Daniele Tantari

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

Finding suitable features has been an essential problem in computer vision. We focus on Restricted Boltzmann Machines (RBMs), which, despite their versatility, cannot accommodate transformations that may occur in the scene. As a result,…

计算机视觉与模式识别 · 计算机科学 2016-11-15 Mario Valerio Giuffrida , Sotirios A. Tsaftaris

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

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

Restricted Boltzmann machines are undirected neural networks which have been shown to be effective in many applications, including serving as initializations for training deep multi-layer neural networks. One of the main reasons for their…

无序系统与神经网络 · 物理学 2016-02-11 Marylou Gabrié , Eric W. Tramel , Florent Krzakala

Much work has been done refining and characterizing the receptive fields learned by deep learning algorithms. A lot of this work has focused on the development of Gabor-like filters learned when enforcing sparsity constraints on a natural…

机器学习 · 统计学 2012-11-01 Chris Häusler , Alex Susemihl

Conditional generative models are capable of using contextual information as input to create new imaginative outputs. Conditional Restricted Boltzmann Machines (CRBMs) are one class of conditional generative models that have proven to be…

机器学习 · 计算机科学 2023-05-16 Alex H. Lang , Anton D. Loukianov , Charles K. Fisher

In this paper, we introduce novel Twin Parametric Margin Support Vector Machine (TPMSVM) models designed to address multiclass classification tasks under feature uncertainty. To handle data perturbations, we construct bounded-by-norm…

机器学习 · 计算机科学 2026-04-29 Renato De Leone , Francesca Maggioni , Andrea Spinelli