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Boltzmann machines are the basis of several deep learning methods that have been successfully applied to both supervised and unsupervised machine learning tasks. These models assume that a dataset is generated according to a Boltzmann…

Quantum Physics · Physics 2021-01-25 Richard Y. Li , Tameem Albash , Daniel A. Lidar

Deep Learning algorithms, such as those used in Reinforcement Learning, often require large quantities of data to train effectively. In most cases, the availability of data is not a significant issue. However, for some contexts, such as in…

Quantum Physics · Physics 2024-09-02 Daniel Kent , Clement O'Rourke , Jake Southall , Kirsty Duncan , Adrian Bedford

Quantum Boltzmann machines (QBMs) are generative models with potential advantages in quantum machine learning, yet their training is fundamentally limited by the barren plateau problem, where gradients vanish exponentially with system size.…

Quantum Physics · Physics 2026-03-06 Takeshi Kimura , Kohtaro Kato , Masahito Hayashi

Restricted Boltzmann Machines (RBM) are simple statistical models defined on a bipartite graph which have been successfully used in studying more complicated many-body systems, both classical and quantum. In this work, we exploit the…

Nuclear Theory · Physics 2021-01-13 Ermal Rrapaj , Alessandro Roggero

An increase in the efficiency of sampling from Boltzmann distributions would have a significant impact on deep learning and other machine-learning applications. Recently, quantum annealers have been proposed as a potential candidate to…

Quantum Physics · Physics 2016-08-17 Marcello Benedetti , John Realpe-Gómez , Rupak Biswas , Alejandro Perdomo-Ortiz

Restricted Boltzmann machines (RBMs) with low-precision synapses are much appealing with high energy efficiency. However, training RBMs with binary synapses is challenging due to the discrete nature of synapses. Recently Huang proposed one…

Machine Learning · Computer Science 2020-07-10 Xiangming Meng

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…

Statistical Mechanics · Physics 2021-03-19 Ahmadreza Azizi , Michel Pleimling

Restricted Boltzmann Machine (RBM) is a particular type of random neural network models modeling vector data based on the assumption of Bernoulli distribution. For multi-dimensional and non-binary data, it is necessary to vectorize and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-28 Simeng Liu , Yanfeng Sun , Yongli Hu , Junbin Gao , Baocai Yin

Energy-Based Models (EBMs) have been widely used for generative modeling. Contrastive Divergence (CD), a prevailing training objective for EBMs, requires sampling from the EBM with Markov Chain Monte Carlo methods (MCMCs), which leads to an…

Machine Learning · Computer Science 2023-07-06 Weijian Luo , Hao Jiang , Tianyang Hu , Jiacheng Sun , Zhenguo Li , Zhihua Zhang

We set up Restricted Boltzmann Machines (RBM) to reproduce the Long Range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard machine learning procedure with an additional method of…

Statistical Mechanics · Physics 2017-01-03 Ken-Ichi Aoki , Tamao Kobayashi

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

Machine Learning · Computer Science 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

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…

Machine Learning · Computer Science 2019-06-18 Surbhi Goel

The Restricted Boltzmann Machine (RBM) is a stochastic neural network capable of solving a variety of difficult tasks such as NP-Hard combinatorial optimization problems and integer factorization. The RBM architecture is also very compact;…

Machine Learning · Computer Science 2020-10-15 Saavan Patel , Philip Canoza , Sayeef Salahuddin

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…

Disordered Systems and Neural Networks · Physics 2018-08-20 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

Recent work has proposed and explored using coreset techniques for quantum algorithms that operate on classical data sets to accelerate the applicability of these algorithms on near-term quantum devices. We apply these ideas to Quantum…

Quantum Physics · Physics 2023-07-28 Joshua Viszlai , Teague Tomesh , Pranav Gokhale , Eric Anschuetz , Frederic T. Chong

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,…

Disordered Systems and Neural Networks · Physics 2026-02-02 Gianluca Manzan , Daniele Tantari

Restricted Boltzmann Machines are generative models that consist of a layer of hidden variables connected to another layer of visible units, and they are used to model the distribution over visible variables. In order to gain a higher…

Computer Vision and Pattern Recognition · Computer Science 2023-06-20 Arkaitz Bidaurrazaga , Aritz Pérez , Roberto Santana

We present an algorithm for learning a latent variable generative model via generative adversarial learning where the canonical uniform noise input is replaced by samples from a graphical model. This graphical model is learned by a…

Machine Learning · Computer Science 2021-07-05 Max Wilson , Thomas Vandal , Tad Hogg , Eleanor Rieffel

We consider a special type of Restricted Boltzmann machine (RBM), namely a Gaussian-spherical RBM where the visible units have Gaussian priors while the vector of hidden variables is constrained to stay on an ${\mathbbm L}_2$ sphere. The…

Disordered Systems and Neural Networks · Physics 2023-07-17 Aurélien Decelle , Cyril Furtlehner

Optimization problems, particularly NP-Hard Combinatorial Optimization problems, are some of the hardest computing problems with no known polynomial time algorithm existing. Recently there has been interest in using dedicated hardware to…

Hardware Architecture · Computer Science 2020-10-15 Saavan Patel , Lili Chen , Philip Canoza , Sayeef Salahuddin
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