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Generative modeling with machine learning has provided a new perspective on the data-driven task of reconstructing quantum states from a set of qubit measurements. As increasingly large experimental quantum devices are built in…

We study the problem of learning graphical models with latent variables. We give the first algorithm for learning locally consistent (ferromagnetic or antiferromagnetic) Restricted Boltzmann Machines (or RBMs) with {\em arbitrary} external…

机器学习 · 计算机科学 2019-06-18 Surbhi Goel

A specific type of neural network, the Restricted Boltzmann Machine (RBM), is implemented for classification and feature detection in machine learning. RBM is characterized by separate layers of visible and hidden units, which are able to…

无序系统与神经网络 · 物理学 2012-01-11 Adriano Barra , Alberto Bernacchia , Enrica Santucci , Pierluigi Contucci

Boltzmann Machines (BMs) are graphical models with interconnected binary units, employed for the unsupervised modeling of data distributions. When trained on real data, BMs show the tendency to behave like critical systems, displaying a…

无序系统与神经网络 · 物理学 2024-06-28 Enrico Ventura , Simona Cocco , Rémi Monasson , Francesco Zamponi

In this paper, we investigate the feature encoding process in a prototypical energy-based generative model, the Restricted Boltzmann Machine (RBM). We start with an analytical investigation using simplified architectures and data…

机器学习 · 计算机科学 2025-02-11 Dimitrios Bachtis , Giulio Biroli , Aurélien Decelle , Beatriz Seoane

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

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

Energy-based models are popular in machine learning due to the elegance of their formulation and their relationship to statistical physics. Among these, the Restricted Boltzmann Machine (RBM), and its staple training algorithm contrastive…

机器学习 · 计算机科学 2015-04-09 Daniel Jiwoong Im , Ethan Buchman , Graham W. Taylor

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

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Restricted Boltzmann Machines (RBMs) are generative neural networks with these desired properties. We integrate an…

神经与进化计算 · 计算机科学 2014-12-01 Malte Probst , Franz Rothlauf , Jörn Grahl

Estimation of the large $Q$-matrix in Cognitive Diagnosis Models (CDMs) with many items and latent attributes from observational data has been a huge challenge due to its high computational cost. Borrowing ideas from deep learning…

统计方法学 · 统计学 2021-11-30 Chengcheng Li , Chenchen Ma , Gongjun Xu

Neural-network state representations of quantum many-body systems are attracting great attention and more rigorous quantitative analysis about their expressibility and complexity is warranted. Our analysis of the restricted Boltzmann…

量子物理 · 物理学 2024-05-24 Ruizhi Pan , Charles W. Clark

We describe discrete restricted Boltzmann machines: probabilistic graphical models with bipartite interactions between visible and hidden discrete variables. Examples are binary restricted Boltzmann machines and discrete naive Bayes models.…

机器学习 · 统计学 2014-04-23 Guido Montufar , Jason Morton

Ordinal data is omnipresent in almost all multiuser-generated feedback - questionnaires, preferences etc. This paper investigates modelling of ordinal data with Gaussian restricted Boltzmann machines (RBMs). In particular, we present the…

机器学习 · 统计学 2014-08-04 Truyen Tran , Dinh Phung , Svetha Venkatesh

The restricted Boltzmann machine (RBM) is a representative generative model based on the concept of statistical mechanics. In spite of the strong merit of interpretability, unavailability of backpropagation makes it less competitive than…

计算机视觉与模式识别 · 计算机科学 2020-11-30 Juno Hwang , Wonseok Hwang , Junghyo Jo

Quantum computers offer the potential for efficiently sampling from complex probability distributions, attracting increasing interest in generative modeling within quantum machine learning. This surge in interest has driven the development…

量子物理 · 物理学 2025-11-19 Maria Demidik , Cenk Tüysüz , Nico Piatkowski , Michele Grossi , Karl Jansen

Energy-based models (EBMs) are flexible generative architectures inspired by statistical physics, but their learning and generative properties remain poorly understood. Here, we analyze a solvable EBM in the high-dimensional limit: the…

机器学习 · 计算机科学 2026-05-12 Thomas Tulinski , Simona Cocco , Rémi Monasson , Jorge Fernandez-De-Cossio-Diaz

The restricted Boltzmann machine (RBM) is a two-layer energy-based model that uses its hidden-visible connections to learn the underlying distribution of visible units, whose interactions are often complicated by high-order correlations.…

统计力学 · 物理学 2022-12-07 Jing Gu , Kai Zhang

Hopfield networks (HNs) and Restricted Boltzmann Machines (RBMs) are two important models at the interface of statistical physics, machine learning, and neuroscience. Recently, there has been interest in the relationship between HNs and…

机器学习 · 计算机科学 2021-03-09 Matthew Smart , Anton Zilman

Training in machine learning generally consists in finding one model, whose parameters minimize a data-dependent loss. Yet, empirical work shows that ensemble learning, an approach in which multiple models are sampled, can improve…

无序系统与神经网络 · 物理学 2026-04-28 Thomas Tulinski , Jorge Fernandez-De-Cossio-Diaz , Simona Cocco , Rémi Monasson