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Machine learning methods are powerful in distinguishing different phases of matter in an automated way and provide a new perspective on the study of physical phenomena. We train a Restricted Boltzmann Machine (RBM) on data constructed with…

统计力学 · 物理学 2020-09-23 Shotaro Shiba Funai , Dimitrios Giataganas

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

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

We investigate the performance of machine learning algorithms trained exclusively with configurations obtained from importance sampling Monte Carlo simulations of the two-dimensional Ising model with conserved magnetization. For supervised…

统计力学 · 物理学 2021-03-19 Ahmadreza Azizi , Michel Pleimling

We explore alternative experimental setups for the iterative sampling (flow) from Restricted Boltzmann Machines (RBM) mapped on the temperature space of square lattice Ising models by a neural network thermometer. This framework has been…

统计力学 · 物理学 2022-03-31 Rodrigo Veiga , Renato Vicente

We study the features extracted by the Restricted Boltzmann Machine (RBM) when it is trained with spin configurations of Ising model at various temperatures. Using the trained RBM, we obtain the flow of iterative reconstructions (RBM flow)…

机器学习 · 计算机科学 2021-11-23 Shotaro Shiba Funai

We train a set of Restricted Boltzmann Machines (RBMs) on one- and two-dimensional Ising spin configurations at various values of temperature, generated using Monte Carlo simulations. We validate the training procedure by monitoring several…

计算物理 · 物理学 2019-08-14 Guido Cossu , Luigi Del Debbio , Tommaso Giani , Ava Khamseh , Michael Wilson

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

A restricted Boltzmann machine (RBM) is an undirected graphical model constructed for discrete or continuous random variables, with two layers, one hidden and one visible, and no conditional dependency within a layer. In recent years, RBMs…

机器学习 · 统计学 2019-09-12 Andee Kaplan , Daniel Nordman , Stephen Vardeman

We propose a Restricted Boltzmann Machine (RBM) neural network using a quantum thermodynamics formalism and the maximization of entropy as the cost function for the optimization problem. We verify the possibility of using an entropy…

无序系统与神经网络 · 物理学 2021-03-18 Roshawn Terrell , Eleanor Watson , Timofey Golubev

Generative models offer a direct way of modeling complex data. Energy-based models attempt to encode the statistical correlations observed in the data at the level of the Boltzmann weight associated with an energy function in the form of a…

无序系统与神经网络 · 物理学 2024-04-10 Aurélien Decelle , Cyril Furtlehner , Alfonso De Jesus Navas Gómez , Beatriz Seoane

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

A Boltzmann machine is a stochastic neural network that has been extensively used in the layers of deep architectures for modern machine learning applications. In this paper, we develop a Boltzmann machine that is capable of modelling…

统计力学 · 物理学 2016-10-18 Giacomo Torlai , Roger G. Melko

Detecting the topological Kosterlitz-Thouless (KT) transition in the prototypical 2D XY model using unsupervised machine learning methods has long been a challenging problem due to the lack of suitable order parameters. To address this…

统计力学 · 物理学 2024-10-01 Kai Zhang

Recent advances in deep learning and neural networks have led to an increased interest in the application of generative models in statistical and condensed matter physics. In particular, restricted Boltzmann machines (RBMs) and variational…

无序系统与神经网络 · 物理学 2020-06-09 Francesco D'Angelo , Lucas Böttcher

A restricted Boltzmann machine is a generative probabilistic graphic network. A probability of finding the network in a certain configuration is given by the Boltzmann distribution. Given training data, its learning is done by optimizing…

无序系统与神经网络 · 物理学 2020-05-28 Sangchul Oh , Abdelkader Baggag , Hyunchul Nha

The restricted Boltzmann machine (RBM) is a neural network based on the Ising model, well known for its ability to learn probability distributions and stochastically generate new content. However, the high computational cost of Gibbs…

光学 · 物理学 2026-03-13 Li Luo , Yisheng Fang , Wanyi Zhang , Zhichao Ruan

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

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

We successfully model the behavior of two-spin systems using neural networks known as conditional Restricted Boltzmann Machines (cRBMs) which encode physical information in the properties of a thermal ensemble akin to an Ising model. The…

量子物理 · 物理学 2021-05-31 Steven Weinstein
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