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Building a good generative model for image has long been an important topic in computer vision and machine learning. Restricted Boltzmann machine (RBM) is one of such models that is simple but powerful. However, its restricted form also has…

Machine Learning · Computer Science 2016-11-24 Hengyuan Hu , Lisheng Gao , Quanbin Ma

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

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

Restricted Boltzmann Machine (RBM) is an energy based, undirected graphical model. It is commonly used for unsupervised and supervised machine learning. Typically, RBM is trained using contrastive divergence (CD). However, training with CD…

Machine Learning · Computer Science 2021-07-02 Vivek Dixit , Raja Selvarajan , Muhammad A. Alam , Travis S. Humble , Sabre Kais

Multi-robot global localization (MR-GL) with unknown initial positions in a large scale environment is a challenging task. The key point is the data association between different robots' viewpoints. It also makes traditional…

Robotics · Computer Science 2024-09-10 Yaojie Zhang , Haowen Luo , Weijun Wang , Wei Feng

The restricted Boltzmann machine is a basic machine learning tool able, in principle, to model the distribution of some arbitrary dataset. Its standard training procedure appears however delicate and obscure in many respects. We bring some…

Disordered Systems and Neural Networks · Physics 2021-11-18 Aurélien Decelle , Cyril Furtlehner

The restricted Boltzmann machine is a network of stochastic units with undirected interactions between pairs of visible and hidden units. This model was popularized as a building block of deep learning architectures and has continued to…

Machine Learning · Computer Science 2018-06-20 Guido Montufar

We consider a special type of Restricted Boltzmann machine (RBM), namely a Gaussian-spherical RBM where the visible units have Gaussian priors while the vector of hidden variables is constrained to stay on an ${\mathbbm L}_2$ sphere. The…

Disordered Systems and Neural Networks · Physics 2023-07-17 Aurélien Decelle , Cyril Furtlehner

In this work, we introduce kernels with random Fourier features in the meta-learning framework to leverage their strong few-shot learning ability. We propose meta variational random features (MetaVRF) to learn adaptive kernels for the…

Machine Learning · Computer Science 2020-08-14 Xiantong Zhen , Haoliang Sun , Yingjun Du , Jun Xu , Yilong Yin , Ling Shao , Cees Snoek

Restricted Boltzmann machines (RBM) and its variants have become hot research topics recently, and widely applied to many classification problems, such as character recognition and document categorization. Often, classification RBM ignores…

Machine Learning · Computer Science 2015-04-21 Gang Chen , Sargur H. Srihari

Generative machine learning models like the Restricted Boltzmann Machine (RBM) provide a practical approach for ansatz construction within the quantum computing framework. This work introduces a method that efficiently leverages RBM and…

Chemical Physics · Physics 2025-03-12 Sonaldeep Halder , Kartikey Anand , Rahul Maitra

The deep extension of the restricted Boltzmann machine (RBM), known as the deep Boltzmann machine (DBM), is an expressive family of machine learning models which can serve as compact representations of complex probability distributions.…

Machine Learning · Computer Science 2021-02-18 Haik Manukian , Massimiliano Di Ventra

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

Likelihood based-learning of graphical models faces challenges of computational-complexity and robustness to model mis-specification. This paper studies methods that fit parameters directly to maximize a measure of the accuracy of predicted…

Machine Learning · Computer Science 2014-07-04 Justin Domke

The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems. The…

Machine Learning · Computer Science 2011-02-01 Gilles Meyer , Silvere Bonnabel , Rodolphe Sepulchre

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

Graphical models and factor analysis are well-established tools in multivariate statistics. While these models can be both linked to structures exhibited by covariance and precision matrices, they are generally not jointly leveraged within…

Machine Learning · Statistics 2023-08-02 Alexandre Hippert-Ferrer , Florent Bouchard , Ammar Mian , Titouan Vayer , Arnaud Breloy

Restricted Boltzmann machines (RBMs) have demonstrated considerable success as variational quantum states; however, their representational power remains incompletely understood. In this work, we present an analytical proof that RBMs can…

Quantum Physics · Physics 2025-05-29 Yuan-Hang Zhang , Zhian Jia , Yu-Chun Wu , Guang-Can Guo

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

Recent advances in deep learning and neural networks have led to an increased interest in the application of generative models in statistical and condensed matter physics. In particular, restricted Boltzmann machines (RBMs) and variational…

Disordered Systems and Neural Networks · Physics 2020-06-09 Francesco D'Angelo , Lucas Böttcher
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