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Neural-Network Quantum State (NQS) has attracted significant interests as a powerful wave-function ansatz to model quantum phenomena. In particular, a variant of NQS based on the restricted Boltzmann machine (RBM) has been adapted to model…

Quantum Physics · Physics 2019-12-09 Chang-yu Hsieh , Qiming Sun , Shengyu Zhang , Chee Kong Lee

We describe discrete restricted Boltzmann machines: probabilistic graphical models with bipartite interactions between visible and hidden discrete variables. Examples are binary restricted Boltzmann machines and discrete naive Bayes models.…

Machine Learning · Statistics 2014-04-23 Guido Montufar , Jason Morton

Classification of sequence data is the topic of interest for dynamic Bayesian models and Recurrent Neural Networks (RNNs). While the former can explicitly model the temporal dependencies between class variables, the latter have a capability…

Machine Learning · Computer Science 2018-03-12 Son N. Tran , Srikanth Cherla , Artur Garcez , Tillman Weyde

Restricted Boltzmann machines (RBMs) have proven to be a powerful tool for learning quantum wavefunction representations from qubit projective measurement data. Since the number of classical parameters needed to encode a quantum…

Quantum Physics · Physics 2022-04-06 Anna Golubeva , Roger G. Melko

In audio applications, one of the most important representations of audio signals is the amplitude spectrogram. It is utilized in many machine-learning-based information processing methods including the ones using the restricted Boltzmann…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-26 Toru Nakashika , Kohei Yatabe

A restricted Boltzmann machine (RBM) is a generative neural-network model with many novel applications such as collaborative filtering and acoustic modeling. An RBM lacks the capacity to retain memory, making it inappropriate for dynamic…

Machine Learning · Statistics 2018-05-01 Jefferson Hernandez , Andres G. Abad

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

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

This is a tutorial and survey paper on Boltzmann Machine (BM), Restricted Boltzmann Machine (RBM), and Deep Belief Network (DBN). We start with the required background on probabilistic graphical models, Markov random field, Gibbs sampling,…

Machine Learning · Computer Science 2022-08-09 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

We consider a restricted Boltzmann Machine (RBM) correlated BCS wave function as the ground state of the two-dimensional Hubbard model and study its electronic and magnetic properties as a function of hole doping. We compare the results…

Strongly Correlated Electrons · Physics 2024-12-06 Karthik V , Amal Medhi

We develop a machine learning method to construct accurate ground-state wave functions of strongly interacting and entangled quantum spin as well as fermionic models on lattices. A restricted Boltzmann machine algorithm in the form of an…

Strongly Correlated Electrons · Physics 2017-11-30 Yusuke Nomura , Andrew S. Darmawan , Youhei Yamaji , Masatoshi Imada

We investigate the potential of a restricted Boltzmann Machine (RBM) for discriminative representation learning. By imposing the class information preservation constraints on the hidden layer of the RBM, we propose a Signed Laplacian…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Dongdong Chen , Jiancheng Lv , Mike E. Davies

The challenge posed by the many-body problem in quantum physics originates from the difficulty of describing the nontrivial correlations encoded in the many-body wave functions with high complexity. Quantum neural network provides a…

Quantum Physics · Physics 2020-09-01 Yusen Wu , Chunyan Wei , Sujuan Qin , Qiaoyan Wen , Fei Gao

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…

Disordered Systems and Neural Networks · Physics 2021-03-18 Roshawn Terrell , Eleanor Watson , Timofey Golubev

Restricted Boltzmann Machines (RBM) are bi-layer neural networks used for the unsupervised learning of model distributions from data. The bipartite architecture of RBM naturally defines an elegant sampling procedure, called Alternating…

Disordered Systems and Neural Networks · Physics 2021-10-27 Clément Roussel , Simona Cocco , Rémi Monasson

We are interested in exploring the possibility and benefits of structure learning for deep models. As the first step, this paper investigates the matter for Restricted Boltzmann Machines (RBMs). We conduct the study with Replicated Softmax,…

Machine Learning · Computer Science 2018-08-07 Zhourong Chen , Nevin L. Zhang , Dit-Yan Yeung , Peixian Chen

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…

Quantum Physics · Physics 2021-05-31 Steven Weinstein

Restricted Boltzmann Machine (RBM) is a generative stochastic energy-based model of artificial neural network for unsupervised learning. Recently, RBM is well known to be a pre-training method of Deep Learning. In addition to visible and…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Shin Kamada , Takumi Ichimura

We study the expectation value of the logarithm of the partition function of large binary-to-binary lattice-gas Restricted Boltzmann Machines (RBMs) within a replica-symmetric ansatz, averaging over the disorder represented by the…

Disordered Systems and Neural Networks · Physics 2023-01-25 David C. Hoyle

Understanding the representational power of Restricted Boltzmann Machines (RBMs) with multiple layers is an ill-understood problem and is an area of active research. Motivated from the approach of \emph{Inherent Structure formalism}…

Machine Learning · Statistics 2018-06-13 Abhishek Bansal , Abhinav Anand , Chiranjib Bhattacharyya
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