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The Restricted Boltzmann Machine (RBM), an important tool used in machine learning in particular for unsupervized learning tasks, is investigated from the perspective of its spectral properties. Starting from empirical observations, we…

Disordered Systems and Neural Networks · Physics 2018-01-17 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

The Restricted Boltzmann Machine (RBM) is one of the simplest generative neural networks capable of learning input distributions. Despite its simplicity, the analysis of its performance in learning from the training data is only well…

Machine Learning · Computer Science 2025-11-13 Yizhou Xu , Florent Krzakala , Lenka Zdeborová

Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model is usually not…

Machine Learning · Computer Science 2022-09-27 Lennart Dabelow , Masahito Ueda

Estimation of the large $Q$-matrix in Cognitive Diagnosis Models (CDMs) with many items and latent attributes from observational data has been a huge challenge due to its high computational cost. Borrowing ideas from deep learning…

Methodology · Statistics 2021-11-30 Chengcheng Li , Chenchen Ma , Gongjun Xu

Understanding how the D-Wave quantum computer could be used for machine learning problems is of growing interest. Our work evaluates the feasibility of using the D-Wave as a sampler for machine learning. We describe a hybrid system that…

Quantum Physics · Physics 2020-02-03 Jennifer Sleeman , John Dorband , Milton Halem

Restricted Boltzmann Machines (RBMs) are powerful tools for modeling complex systems and extracting insights from data, but their training is hindered by the slow mixing of Markov Chain Monte Carlo (MCMC) processes, especially with highly…

Machine Learning · Computer Science 2025-12-09 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Lorenzo Rosset , Beatriz Seoane

Restricted Boltzmann machines (RBMs) are powerful machine learning models, but learning and some kinds of inference in the model require sampling-based approximations, which, in classical digital computers, are implemented using expensive…

Machine Learning · Statistics 2014-10-27 Vincent Dumoulin , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

Learning algorithms for energy based Boltzmann architectures that rely on gradient descent are in general computationally prohibitive, typically due to the exponential number of terms involved in computing the partition function. In this…

Machine Learning · Computer Science 2018-07-13 Enrique Romero Merino , Ferran Mazzanti Castrillejo , Jordi Delgado Pin , David Buchaca Prats

We present an efficient classical algorithm for training deep Boltzmann machines (DBMs) that uses rejection sampling in concert with variational approximations to estimate the gradients of the training objective function. Our algorithm is…

Machine Learning · Computer Science 2015-07-10 Nathan Wiebe , Ashish Kapoor , Christopher Granade , Krysta M Svore

Boltzmann machine is a powerful machine learning model with many real-world applications, for example by constructing deep belief networks. Statistical inference on a Boltzmann machine can be carried out by sampling from its posterior…

Quantum Physics · Physics 2023-11-23 Mārtiņš Kālis , Andris Locāns , Rolands Šikovs , Hassan Naseri , Andris Ambainis

Restricted Boltzmann Machine (RBM) is a bipartite graphical model that is used as the building block in energy-based deep generative models. Due to numerical stability and quantifiability of the likelihood, RBM is commonly used with…

Machine Learning · Statistics 2016-11-15 Chun-Liang Li , Siamak Ravanbakhsh , Barnabas Poczos

Restricted Boltzmann Machines (RBMs) are widely used probabilistic undirected graphical models with visible and latent nodes, playing an important role in statistics and machine learning. The task of structure learning for RBMs involves…

Quantum Physics · Physics 2023-09-26 Liming Zhao , Aman Agrawal , Patrick Rebentrost

We investigate whether quantum annealers with select chip layouts can outperform classical computers in reinforcement learning tasks. We associate a transverse field Ising spin Hamiltonian with a layout of qubits similar to that of a deep…

Quantum Physics · Physics 2019-01-07 Daniel Crawford , Anna Levit , Navid Ghadermarzy , Jaspreet S. Oberoi , Pooya Ronagh

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

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…

Machine Learning · Computer Science 2018-11-07 Guy Bresler , Frederic Koehler , Ankur Moitra , Elchanan Mossel

We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fermions. The free motion of the fermions is parametrically…

Disordered Systems and Neural Networks · Physics 2021-02-15 Ya. S. Lyakhova , E. A. Polyakov , A. N. Rubtsov

Restricted Boltzmann Machine (RBM) is an importan- t generative model modeling vectorial data. While applying an RBM in practice to images, the data have to be vec- torized. This results in high-dimensional data and valu- able spatial…

Computer Vision and Pattern Recognition · Computer Science 2016-01-06 Guanglei Qi , Yanfeng Sun , Junbin Gao , Yongli Hu , Jinghua Li

Restricted Boltzmann machines (RBMs) and their variants are usually trained by contrastive divergence (CD) learning, but the training procedure is an unsupervised learning approach, without any guidances of the background knowledge. To…

Machine Learning · Computer Science 2018-12-06 Jielei Chu , Hongjun Wang , Hua Meng , Peng Jin , Tianrui Li

Current large scale implementations of deep learning and data mining require thousands of processors, massive amounts of off-chip memory, and consume gigajoules of energy. Emerging memory technologies such as nanoscale two-terminal…

Neural and Evolutionary Computing · Computer Science 2016-11-15 S. Burc Eryilmaz , Emre Neftci , Siddharth Joshi , SangBum Kim , Matthew BrightSky , Hsiang-Lan Lung , Chung Lam , Gert Cauwenberghs , H. -S. Philip Wong

Learning RBMs using standard algorithms such as CD(k) involves gradient descent on the negative log-likelihood. One of the terms in the gradient, which involves expectation w.r.t. the model distribution, is intractable and is obtained…

Machine Learning · Computer Science 2019-10-02 Vidyadhar Upadhya , P. S. Sastry