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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…

机器学习 · 计算机科学 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…

统计力学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

无序系统与神经网络 · 物理学 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…

机器学习 · 统计学 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…

计算物理 · 物理学 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…

统计力学 · 物理学 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.…

统计力学 · 物理学 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…

无序系统与神经网络 · 物理学 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…

无序系统与神经网络 · 物理学 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.…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

材料科学 · 物理学 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 --…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

机器人学 · 计算机科学 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.…

计算物理 · 物理学 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…

计算物理 · 物理学 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…

无序系统与神经网络 · 物理学 2024-11-21 Diana Sukhoverkhova , Lev Shchur
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