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We present the first exact simulation method for multidimensional reflected Brownian motion (RBM). Exact simulation in this setting is challenging because of the presence of correlated local-time-like terms in the definition of RBM. We…

Probability · Mathematics 2017-08-31 Jose Blanchet , Karthyek R. A. Murthy

A new approach to maximum likelihood learning of discrete graphical models and RBM in particular is introduced. Our method, Perturb and Descend (PD) is inspired by two ideas (I) perturb and MAP method for sampling (II) learning by…

Neural and Evolutionary Computing · Computer Science 2014-05-08 Siamak Ravanbakhsh , Russell Greiner , Brendan Frey

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

Restricted Boltzmann machines are undirected neural networks which have been shown to be effective in many applications, including serving as initializations for training deep multi-layer neural networks. One of the main reasons for their…

Disordered Systems and Neural Networks · Physics 2016-02-11 Marylou Gabrié , Eric W. Tramel , Florent Krzakala

We address the problem of latent truth discovery, LTD for short, where the goal is to discover the underlying true values of entity attributes in the presence of noisy, conflicting or incomplete information. Despite a multitude of…

Machine Learning · Computer Science 2018-01-03 Klaus Broelemann , Thomas Gottron , Gjergji Kasneci

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

Restricted Boltzmann Machines (RBM) are bi-layer neural networks used for the unsupervised learning of model distributions from data. The bipartite architecture of RBM naturally defines an elegant sampling procedure, called Alternating…

Disordered Systems and Neural Networks · Physics 2021-10-27 Clément Roussel , Simona Cocco , Rémi Monasson

A Gaussian restricted Boltzmann machine (GRBM) is a Boltzmann machine defined on a bipartite graph and is an extension of usual restricted Boltzmann machines. A GRBM consists of two different layers: a visible layer composed of continuous…

Machine Learning · Statistics 2016-03-21 Chako Takahashi , Muneki Yasuda

We investigate several important issues regarding the Random Batch Method (RBM) for second order interacting particle systems. We first show the uniform-in-time strong convergence for second order systems under suitable contraction…

Numerical Analysis · Mathematics 2020-12-02 Shi Jin , Lei Li , Yiqun Sun

Restricted Boltzmann Machines are simple yet powerful neural networks. They can be used for learning structure in data, and are used as a building block of more complex neural architectures. At the same time, their simplicity makes them…

Disordered Systems and Neural Networks · Physics 2025-01-09 Giovanni di Sarra , Barbara Bravi , Yasser Roudi

The explorations of models beyond the Standard Model (BSM) naturally involve scans over the unknown BSM parameters. On the other hand, high precision predictions require calculations at the loop-level and thus a renormalization of (some of)…

High Energy Physics - Phenomenology · Physics 2024-07-01 S. Heinemeyer , F. von der Pahlen

We propose a relaxation-based approximate inference algorithm that samples near-MAP configurations of a binary pairwise Markov random field. We experiment on MAP inference tasks in several restricted Boltzmann machines. We also use our…

Machine Learning · Statistics 2014-01-03 Sida I. Wang , Roy Frostig , Percy Liang , Christopher D. Manning

Deep learning methods relying on multi-layered networks have been actively studied in a wide range of fields in recent years, and deep Boltzmann machines(DBMs) is one of them. In this study, a model of DBMs with some properites of weight…

Disordered Systems and Neural Networks · Physics 2022-10-06 Yuma Ichikawa , Koji Hukushima

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

In this letter, we propose enhanced factored three way restricted Boltzmann machines (EFTW-RBMs) for speech detection. The proposed model incorporates conditional feature learning by multiplying the dynamical state of the third unit, which…

Sound · Computer Science 2017-04-24 Pengfei Sun , Jun Qin

Unsupervised neural nets such as Restricted Boltzmann Machines(RBMs) and Deep Belif Networks(DBNs), are powerful in automatic feature extraction,unsupervised weight initialization and density estimation. In this paper,we demonstrate that…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Zhiwen Zuo , Lei Zhao , Liwen Zuo , Feng Jiang , Wei Xing , Dongming Lu

A new extremely simple ensemble-based model with the uniformly generated axis-parallel hyper-rectangles as base models (HRBM) is proposed. Two types of HRBMs are studied: closed rectangles and corners. The main idea behind HRBM is to…

Machine Learning · Computer Science 2023-03-16 Andrei V. Konstantinov , Lev V. Utkin

A theory explaining how deep learning works is yet to be developed. Previous work suggests that deep learning performs a coarse graining, similar in spirit to the renormalization group (RG). This idea has been explored in the setting of a…

Machine Learning · Computer Science 2020-07-15 Ellen de Melllo Koch , Anita de Mello Koch , Nicholas Kastanos , Ling Cheng

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

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
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