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Tensor models play an increasingly prominent role in many fields, notably in machine learning. In several applications, such as community detection, topic modeling and Gaussian mixture learning, one must estimate a low-rank signal from a…

Machine Learning · Statistics 2022-06-16 José Henrique de Morais Goulart , Romain Couillet , Pierre Comon

We present the application of Restricted Boltzmann Machines (RBMs) to the task of astronomical image classification using a quantum annealer built by D-Wave Systems. Morphological analysis of galaxies provides critical information for…

Quantum Physics · Physics 2020-02-17 João Caldeira , Joshua Job , Steven H. Adachi , Brian Nord , Gabriel N. Perdue

The main difficulty that arises in the analysis of most machine learning algorithms is to handle, analytically and numerically, a large number of interacting random variables. In this Ph.D manuscript, we revisit an approach based on the…

Disordered Systems and Neural Networks · Physics 2021-03-11 Benjamin Aubin

Boltzmann Machines constitute a class of neural networks with applications to image reconstruction, pattern classification and unsupervised learning in general. Their most common variants, called Restricted Boltzmann Machines (RBMs) exhibit…

Quantum Physics · Physics 2020-03-30 Lorenzo Rocutto , Claudio Destri , Enrico Prati

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

Unsupervised machine learning via a restricted Boltzmann machine is an useful tool in distinguishing an ordered phase from a disordered phase. Here we study its application on the two-dimensional Ashkin-Teller model, which features a…

Disordered Systems and Neural Networks · Physics 2018-04-03 Wen-Jia Rao , Zhenyu Li , Qiong Zhu , Mingxing Luo , Xin Wan

Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an unprecedented perspective for solving intricate quantum many-body problems. Understanding the physical aspects of the representative artificial…

Disordered Systems and Neural Networks · Physics 2017-05-12 Dong-Ling Deng , Xiaopeng Li , S. Das Sarma

Conditional restricted Boltzmann machines are undirected stochastic neural networks with a layer of input and output units connected bipartitely to a layer of hidden units. These networks define models of conditional probability…

Neural and Evolutionary Computing · Computer Science 2015-03-13 Guido Montufar , Nihat Ay , Keyan Ghazi-Zahedi

We propose a new approach to combine Restricted Boltzmann Machines (RBMs) that can be used to solve combinatorial optimization problems. This allows synthesis of larger models from smaller RBMs that have been pretrained, thus effectively…

Machine Learning · Computer Science 2019-09-10 Saavan Patel , Sayeef Salahuddin

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

We compare and contrast the statistical physics and quantum physics inspired approaches for unsupervised generative modeling of classical data. The two approaches represent probabilities of observed data using energy-based models and…

Data Analysis, Statistics and Probability · Physics 2018-08-08 Song Cheng , Jing Chen , Lei Wang

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

Many real-world tasks, from associative memory to symbolic reasoning, benefit from discrete, structured representations that standard continuous latent models can struggle to express. We introduce the Gaussian-Multinoulli Restricted…

Machine Learning · Computer Science 2026-03-11 Nikhil Kapasi , Mohamed Elfouly , William Whitehead , Luke Theogarajan

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

Neural and Evolutionary Computing · Computer Science 2015-07-27 E. Romero , F. Mazzanti , J. Delgado

Restricted Boltzmann Machines are described by the Gibbs measure of a bipartite spin glass, which in turn corresponds to the one of a generalised Hopfield network. This equivalence allows us to characterise the state of these systems in…

Disordered Systems and Neural Networks · Physics 2018-02-28 Adriano Barra , Giuseppe Genovese , Peter Sollich , Daniele Tantari

Restricted Boltzmann Machine (RBM) is a generative stochastic neural network that can be applied to collaborative filtering technique used by recommendation systems. Prediction accuracy of the RBM model is usually better than that of other…

Machine Learning · Computer Science 2019-10-16 Pei Yang , Srinivas Varadharajan , Lucas A. Wilson , Don D. Smith , John A Lockman , Vineet Gundecha , Quy Ta

We present transductive Boltzmann machines (TBMs), which firstly achieve transductive learning of the Gibbs distribution. While exact learning of the Gibbs distribution is impossible by the family of existing Boltzmann machines due to…

Machine Learning · Statistics 2018-05-22 Mahito Sugiyama , Koji Tsuda , Hiroyuki Nakahara

Restricted Boltzmann Machines (RBMs) are typically trained using finite-length Gibbs chains under a fixed sampling temperature. This practice implicitly assumes that the stochastic regime remains valid as the energy landscape evolves during…

Machine Learning · Computer Science 2026-03-04 Görkem Can Süleymanoğlu

Geometric frustration gives rise to emergent quantum phenomena and exotic phases of matter. While Monte Carlo methods are traditionally used to simulate such systems, their sampling efficiency is limited by the complexity of interactions…

Statistical Mechanics · Physics 2025-11-27 Pratik Brahma , Junghoon Han , Tamzid Razzaque , Saavan Patel , Sayeef Salahuddin

In this work, we propose an infinite restricted Boltzmann machine~(RBM), whose maximum likelihood estimation~(MLE) corresponds to a constrained convex optimization. We consider the Frank-Wolfe algorithm to solve the program, which provides…

Machine Learning · Computer Science 2017-10-17 Wei Ping , Qiang Liu , Alexander Ihler