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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

We derive relations between theoretical properties of restricted Boltzmann machines (RBMs), popular machine learning models which form the building blocks of deep learning models, and several natural notions from discrete mathematics and…

Machine Learning · Statistics 2014-09-22 Guido F. Montufar , Jason Morton

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

Focusing on the grand-canonical extension of the ordinary restricted Boltzmann machine, we suggest an energy-based model for feature extraction that uses a layer of hidden units with varying size. By an appropriate choice of the chemical…

Disordered Systems and Neural Networks · Physics 2019-12-13 Orestis Loukas

This study investigates the efficacy of Conditional Restricted Boltzmann Machines (CRBMs) for modeling high-dimensional financial time series and detecting systemic risk regimes. We extend the classical application of static Restricted…

Statistical Finance · Quantitative Finance 2026-01-01 Siddhartha Srinivas Rentala

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

Learning in restricted Boltzmann machine is typically hard due to the computation of gradients of log-likelihood function. To describe the network state statistics of the restricted Boltzmann machine, we develop an advanced mean field…

Statistical Mechanics · Physics 2015-05-27 Haiping Huang , Taro Toyoizumi

Boltzmann Machines (BMs) are graphical models with interconnected binary units, employed for the unsupervised modeling of data distributions. When trained on real data, BMs show the tendency to behave like critical systems, displaying a…

Disordered Systems and Neural Networks · Physics 2024-06-28 Enrico Ventura , Simona Cocco , Rémi Monasson , Francesco Zamponi

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

Machine learning representations of many-body quantum states have recently been introduced as an ansatz to describe the ground states and unitary evolutions of many-body quantum systems. We explore one of the most important representations,…

Quantum Physics · Physics 2019-01-10 Zhih-Ahn Jia , Yuan-Hang Zhang , Yu-Chun Wu , Liang Kong , Guang-Can Guo , Guo-Ping Guo

Modern datasets are becoming heterogeneous. To this end, we present in this paper Mixed-Variate Restricted Boltzmann Machines for simultaneously modelling variables of multiple types and modalities, including binary and continuous…

Machine Learning · Statistics 2014-08-07 Truyen Tran , Dinh Phung , Svetha Venkatesh

In this paper, we first present a new variant of Gaussian restricted Boltzmann machine (GRBM) called multivariate Gaussian restricted Boltzmann machine (MGRBM), with its definition and learning algorithm. Then we propose using a learned…

Computation and Language · Computer Science 2013-09-25 Xin Zheng , Zhiyong Wu , Helen Meng , Weifeng Li , Lianhong Cai

Deep Boltzmann machines (DBMs), one of the first ``deep'' learning methods ever studied, are multi-layered probabilistic models governed by a pairwise energy function that describes the likelihood of all variables/nodes in the network. In…

Machine Learning · Computer Science 2023-07-12 Zhili Feng , Ezra Winston , J. Zico Kolter

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

We investigate the efficiency of the recently proposed Restricted Boltzmann Machine (RBM) representation of quantum many-body states to study both the static properties and quantum spin dynamics in the two-dimensional Heisenberg model on a…

Strongly Correlated Electrons · Physics 2019-07-10 G. Fabiani , J. H. Mentink

In this work, the capability of restricted Boltzmann machines (RBMs) to find solutions for the Kitaev honeycomb model with periodic boundary conditions is investigated. The measured groundstate (GS) energy of the system is compared and, for…

Disordered Systems and Neural Networks · Physics 2021-12-15 Mohammadreza Noormandipour , Youran Sun , Babak Haghighat

Task Parametrized Gaussian Mixture Models (TP-GMM) are a sample-efficient method for learning object-centric robot manipulation tasks. However, there are several open challenges to applying TP-GMMs in the wild. In this work, we tackle three…

Robotics · Computer Science 2024-10-24 Jan Ole von Hartz , Tim Welschehold , Abhinav Valada , Joschka Boedecker

Exact calculation of electronic properties of molecules is a fundamental step for intelligent and rational compounds and materials design. The intrinsically graph-like and non-vectorial nature of molecular data generates a unique and…

Chemical Physics · Physics 2019-10-29 Alain Tchagang , Julio Valdés

The use of machine learning is becoming increasingly common in computational materials science. To build effective models of the chemistry of materials, useful machine-based representations of atoms and their compounds are required. We…

Materials Science · Physics 2021-08-02 Luis M. Antunes , Ricardo Grau-Crespo , Keith T. Butler

Restricted Boltzmann machines are used for probabilistic learning and are capable of capturing complex dependencies in data. They are employed for diverse purposes such as dimensionality reduction, feature learning and can be used for…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Rehana Begum Popy , Mahdis Hamdi , Robert L. Stamps