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We consider the problem of discriminatively learning restricted Boltzmann machines in the presence of relational data. Unlike previous approaches that employ a rule learner (for structure learning) and a weight learner (for parameter…

Machine Learning · Computer Science 2020-01-29 Navdeep Kaur , Gautam Kunapuli , Sriraam Natarajan

Restricted Boltzmann Machines (RBMs) are one of the fundamental building blocks of deep learning. Approximate maximum likelihood training of RBMs typically necessitates sampling from these models. In many training scenarios, computationally…

Machine Learning · Computer Science 2014-10-02 Guillaume Desjardins , Heng Luo , Aaron Courville , Yoshua Bengio

A restricted Boltzmann machine (RBM) is an undirected graphical model constructed for discrete or continuous random variables, with two layers, one hidden and one visible, and no conditional dependency within a layer. In recent years, RBMs…

Machine Learning · Statistics 2019-09-12 Andee Kaplan , Daniel Nordman , Stephen Vardeman

Machine Learning has been applied in a wide range of tasks throughout the last years, ranging from image classification to autonomous driving and natural language processing. Restricted Boltzmann Machine (RBM) has received recent attention…

Machine Learning · Computer Science 2021-01-05 Gustavo H. de Rosa , Mateus Roder , João P. Papa

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

We review Boltzmann machines and energy-based models. A Boltzmann machine defines a probability distribution over binary-valued patterns. One can learn parameters of a Boltzmann machine via gradient based approaches in a way that log…

Neural and Evolutionary Computing · Computer Science 2019-01-21 Takayuki Osogami

Precise physical descriptions of molecules can be obtained by solving the Schrodinger equation; however, these calculations are intractable and even approximations can be cumbersome. Force fields, which estimate interatomic potentials based…

Chemical Physics · Physics 2020-12-15 Peter Nekrasov , Jessica Freeze , Victor Batista

Scene recognition is an important research topic in computer vision, while feature extraction is a key step of object recognition. Although classical Restricted Boltzmann machines (RBM) can efficiently represent complicated data, it is hard…

Computer Vision and Pattern Recognition · Computer Science 2015-06-25 Jingyu Gao , Jinfu Yang , Guanghui Wang , Mingai Li

Generative models based on invertible transformations provide a physics-aware route to sample equilibrium configurations directly from the Boltzmann distribution, enabling efficient exploration of complex thermodynamic landscapes. Here, we…

Statistical Mechanics · Physics 2026-03-06 Luigi de Santis , John Russo , Andrea Ninarello

We study a generic ensemble of deep belief networks which is parametrized by the distribution of energy levels of the hidden states of each layer. We show that, within a random energy approach, statistical dependence can propagate from the…

Disordered Systems and Neural Networks · Physics 2022-08-17 Rongrong Xie , Matteo Marsili

Boltzmann generators (BGs) are now recognized as forefront generative models for sampling equilibrium states of many-body systems in the canonical ensemble, as well as for calculating the corresponding Helmholtz free energy. Furthermore,…

Statistical Mechanics · Physics 2023-05-16 Steyn van Leeuwen , Alberto Pérez de Alba Ortíz , Marjolein Dijkstra

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…

Statistical Mechanics · Physics 2021-01-22 Daniel Alcalde Puente , Ilya M. Eremin

Machine learning models are used for pattern recognition analysis of big data, without direct human intervention. The task of unsupervised learning is to find the probability distribution that would best describe the available data, and…

Quantum Physics · Physics 2026-05-14 Apoorva D. Patel

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

Large monolithic generative models trained on massive amounts of data have become an increasingly dominant approach in AI research. In this paper, we argue that we should instead construct large generative systems by composing smaller…

Machine Learning · Computer Science 2024-06-05 Yilun Du , Leslie Kaelbling

Generative neural networks can produce data samples according to the statistical properties of their training distribution. This feature can be used to test modern computational neuroscience hypotheses suggesting that spontaneous brain…

Neural and Evolutionary Computing · Computer Science 2025-07-29 Lorenzo Tausani , Alberto Testolin , Marco Zorzi

A goal of unsupervised machine learning is to build representations of complex high-dimensional data, with simple relations to their properties. Such disentangled representations make easier to interpret the significant latent factors of…

Machine Learning · Computer Science 2023-04-06 Jorge Fernandez-de-Cossio-Diaz , Simona Cocco , Remi Monasson

We discuss probabilistic neural networks with a fixed internal representation as models for machine understanding. Here understanding is intended as mapping data to an already existing representation which encodes an {\em a priori}…

Disordered Systems and Neural Networks · Physics 2023-12-07 Rongrong Xie , Matteo Marsili

We present a novel Ensemble Monte Carlo Growth method to sample the equilibrium thermodynamic properties of random chains. The method is based on the multicanonical technique of computing the density of states in the energy space. Such a…

Statistical Mechanics · Physics 2020-03-04 Graziano Vernizzi , Trung Dac Nguyen , Henri Orland , Monica Olvera de la Cruz

A hybrid quantum-classical method for learning Boltzmann machines (BM) for a generative and discriminative task is presented. Boltzmann machines are undirected graphs with a network of visible and hidden nodes where the former is used as…

Quantum Physics · Physics 2022-07-21 Siddhartha Srivastava , Veera Sundararaghavan