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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

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 Machine (RBM) is a bipartite graphical model that is used as the building block in energy-based deep generative models. Due to numerical stability and quantifiability of the likelihood, RBM is commonly used with…

机器学习 · 统计学 2016-11-15 Chun-Liang Li , Siamak Ravanbakhsh , Barnabas Poczos

We consider restricted Boltzmann machine (RBMs) trained over an unstructured dataset made of blurred copies of definite but unavailable ``archetypes'' and we show that there exists a critical sample size beyond which the RBM can learn…

无序系统与神经网络 · 物理学 2021-09-02 Elena Agliari , Francesco Alemanno , Adriano Barra , Giordano De Marzo

Efficient assessment of convolved hidden Markov models is discussed. The bottom-layer is defined as an unobservable categorical first-order Markov chain, while the middle-layer is assumed to be a Gaussian spatial variable conditional on the…

地球物理 · 物理学 2017-10-19 Torstein Fjeldstad , Henning Omre

Restricted Boltzmann machine (RBM) provide a general framework for modeling physical systems, but their behavior is dependent on hyperparameters such as the learning rate, the number of hidden nodes and the form of the threshold function.…

计算物理 · 物理学 2020-04-28 David Yevick , Roger Melko

Restricted Boltzmann Machines (RBMs) are well-known tools used in Machine Learning to learn probability distribution functions from data. We analyse RBMs with scalar fields on the nodes from the perspective of lattice field theory. Starting…

高能物理 - 格点 · 物理学 2024-03-04 Gert Aarts , Biagio Lucini , Chanju Park

A class of deep Boltzmann machines is considered in the simplified framework of a quenched system with Gaussian noise and independent entries. The quenched pressure of a $K$-layers spin glass model is studied allowing interactions only…

数学物理 · 物理学 2021-08-04 Diego Alberici , Pierluigi Contucci , Emanuele Mingione

Efficient unsupervised training and inference in deep generative models remains a challenging problem. One basic approach, called Helmholtz machine, involves training a top-down directed generative model together with a bottom-up auxiliary…

机器学习 · 计算机科学 2016-05-26 Jorg Bornschein , Samira Shabanian , Asja Fischer , Yoshua Bengio

Restricted Boltzmann Machines (RBMs) are widely used probabilistic undirected graphical models with visible and latent nodes, playing an important role in statistics and machine learning. The task of structure learning for RBMs involves…

量子物理 · 物理学 2023-09-26 Liming Zhao , Aman Agrawal , Patrick Rebentrost

Understanding the dynamics of a system is important in many scientific and engineering domains. This problem can be approached by learning state transition rules from observations using machine learning techniques. Such observed time-series…

机器学习 · 计算机科学 2022-12-08 Koji Watanabe , Katsumi Inoue

This review deals with Restricted Boltzmann Machine (RBM) under the light of statistical physics. The RBM is a classical family of Machine learning (ML) models which played a central role in the development of deep learning. Viewing it as a…

无序系统与神经网络 · 物理学 2023-07-17 Aurélien Decelle , Cyril Furtlehner

Restricted Boltzmann Machines (RBMs) are generative models which can learn useful representations from samples of a dataset in an unsupervised fashion. They have been widely employed as an unsupervised pre-training method in machine…

机器学习 · 统计学 2013-09-13 Chris Häusler , Alex Susemihl , Martin P Nawrot , Manfred Opper

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

Restricted Boltzmann Machines (RBMs) are generative models designed to learn from data with a rich underlying structure. In this work, we explore a teacher-student setting where a student RBM learns from examples generated by a teacher RBM,…

无序系统与神经网络 · 物理学 2026-02-02 Gianluca Manzan , Daniele Tantari

We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fermions. The free motion of the fermions is parametrically…

无序系统与神经网络 · 物理学 2021-02-15 Ya. S. Lyakhova , E. A. Polyakov , A. N. Rubtsov

We present transductive Boltzmann machines (TBMs), which firstly achieve transductive learning of the Gibbs distribution. While exact learning of the Gibbs distribution is impossible by the family of existing Boltzmann machines due to…

机器学习 · 统计学 2018-05-22 Mahito Sugiyama , Koji Tsuda , Hiroyuki Nakahara

Generative neural networks can produce data samples according to the statistical properties of their training distribution. This feature can be used to test modern computational neuroscience hypotheses suggesting that spontaneous brain…

神经与进化计算 · 计算机科学 2025-07-29 Lorenzo Tausani , Alberto Testolin , Marco Zorzi

In this work, we first revise some extensions of the standard Hopfield model in the low storage limit, namely the correlated attractor case and the multitasking case recently introduced by the authors. The former case is based on a…

无序系统与神经网络 · 物理学 2012-05-23 Elena Agliari , Adriano Barra , Andrea De Antoni , Andrea Galluzzi

The labeled stochastic block model is a random graph model representing networks with community structure and interactions of multiple types. In its simplest form, it consists of two communities of approximately equal size, and the edges…

机器学习 · 统计学 2015-02-12 Marc Lelarge , Laurent Massoulié , Jiaming Xu