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Although there has been a rapid development of practical applications, theoretical explanations of deep learning are in their infancy. Deep learning performs a sophisticated coarse graining. Since coarse graining is a key ingredient of the…

Machine Learning · Computer Science 2020-06-11 Ellen de Mello Koch , Robert de Mello Koch , Ling Cheng

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…

Statistical Mechanics · Physics 2022-03-31 Rodrigo Veiga , Renato Vicente

Theoretical understanding of how deep neural network (DNN) extracts features from input images is still unclear, but it is widely believed that the extraction is performed hierarchically through a process of coarse-graining. It reminds us…

High Energy Physics - Theory · Physics 2018-05-16 Satoshi Iso , Shotaro Shiba , Sumito Yokoo

It is well established that neural networks with deep architectures perform better than shallow networks for many tasks in machine learning. In statistical physics, while there has been recent interest in representing physical data with…

Disordered Systems and Neural Networks · Physics 2019-03-06 Alan Morningstar , Roger G. Melko

Deep learning is a broad set of techniques that uses multiple layers of representation to automatically learn relevant features directly from structured data. Recently, such techniques have yielded record-breaking results on a diverse set…

Machine Learning · Statistics 2014-10-16 Pankaj Mehta , David J. Schwab

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…

Computational Physics · Physics 2019-08-14 Guido Cossu , Luigi Del Debbio , Tommaso Giani , Ava Khamseh , Michael Wilson

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…

Statistical Mechanics · Physics 2020-09-23 Shotaro Shiba Funai , Dimitrios Giataganas

Machine learning is becoming widely used in condensed matter physics. Inspired by the concept of image super-resolution, we propose a method to increase the size of lattice spin configurations using deep convolutional neural networks.…

Statistical Mechanics · Physics 2019-02-13 Stavros Efthymiou , Matthew J. S. Beach , Roger G. Melko

In this paper, we focus on the interpretability of deep neural network. Our work is motivated by the renormalization group (RG) in statistical mechanics. RG plays the role of a bridge connecting microscopical properties and macroscopic…

Disordered Systems and Neural Networks · Physics 2022-12-02 Fuzhou Gong , Zigeng Xia

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…

Disordered Systems and Neural Networks · Physics 2020-06-09 Francesco D'Angelo , Lucas Böttcher

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.…

Statistical Mechanics · Physics 2022-12-07 Jing Gu , Kai Zhang

We present a scalable machine learning (ML) framework for large-scale kinetic Monte Carlo (kMC) simulations of itinerant electron Ising systems. As the effective interactions between Ising spins in such itinerant magnets are mediated by…

Statistical Mechanics · Physics 2024-12-02 Alexa Tyberg , Yunhao Fan , Gia-Wei Chern

We demonstrate the capability of a convolutional deep neural network in predicting the nearest-neighbor energy of the 4x4 Ising model. Using its success at this task, we motivate the study of the larger 8x8 Ising model, showing that the…

Materials Science · Physics 2018-03-21 Kyle Mills , Isaac Tamblyn

This work maps deep neural networks to classical Ising spin models, allowing them to be described using statistical thermodynamics. The density of states shows that structures emerge in the weights after they have been trained --…

Statistical Mechanics · Physics 2022-09-20 Dusan Stosic , Darko Stosic , Borko Stosic

Machine learning is becoming widely used in analyzing the thermodynamics of many-body condensed matter systems. Restricted Boltzmann Machine (RBM) aided Monte Carlo simulations have sparked interest recently, as they manage to speed up…

Statistical Mechanics · Physics 2021-01-22 Daniel Alcalde Puente , Ilya M. Eremin

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…

Statistical Mechanics · Physics 2016-10-18 Giacomo Torlai , Roger G. Melko

In this work, deep neural networks made up of multiple hidden Long Short-Term Memory (LSTM) and Feedforward layers are trained to predict the thermal behavior of the joint motors of robot manipulators. A model-free and scalable approach is…

Robotics · Computer Science 2025-09-17 Trung Kien La , Eric Guiffo Kaigom

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.…

Computational Physics · Physics 2020-04-28 David Yevick , Roger Melko

In recent years, generative artificial neural networks based on restricted Boltzmann machines (RBMs) have been successfully employed as accurate and flexible variational wave functions for clean quantum many-body systems. In this article we…

Computational Physics · Physics 2020-06-23 S. Pilati , P. Pieri

In this paper, we applied a deep neural network to study the issue of knowledge transferability between statistical mechanics models. The following computer experiment was conducted. A convolutional neural network was trained to solve the…

Disordered Systems and Neural Networks · Physics 2024-11-21 Diana Sukhoverkhova , Lev Shchur
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