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We propose ratio divergence (RD) learning for discrete energy-based models, a method that utilizes both training data and a tractable target energy function. We apply RD learning to restricted Boltzmann machines (RBMs), which are a minimal…

机器学习 · 统计学 2025-10-09 Yuichi Ishida , Yuma Ichikawa , Aki Dote , Toshiyuki Miyazawa , Koji Hukushima

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.…

机器学习 · 计算机科学 2021-02-18 Haik Manukian , Massimiliano Di Ventra

The Energy-Based Model (EBM) framework is a very general approach to generative modeling that tries to learn and exploit probability distributions only defined though unnormalized scores. It has risen in popularity recently thanks to the…

机器学习 · 计算机科学 2022-02-25 Léo Gagnon , Guillaume Lajoie

Restricted Boltzmann Machines (RBMs) are a common family of undirected graphical models with latent variables. An RBM is described by a bipartite graph, with all observed variables in one layer and all latent variables in the other. We…

机器学习 · 计算机科学 2020-10-20 Guy Bresler , Rares-Darius Buhai

By exploiting the property that the RBM log-likelihood function is the difference of convex functions, we formulate a stochastic variant of the difference of convex functions (DC) programming to minimize the negative log-likelihood.…

机器学习 · 计算机科学 2017-10-06 Vidyadhar Upadhya , P. S. Sastry

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…

神经与进化计算 · 计算机科学 2014-05-08 Siamak Ravanbakhsh , Russell Greiner , Brendan Frey

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…

机器学习 · 计算机科学 2014-10-02 Guillaume Desjardins , Heng Luo , Aaron Courville , Yoshua Bengio

The Contrastive Divergence (CD) algorithm has achieved notable success in training energy-based models including Restricted Boltzmann Machines and played a key role in the emergence of deep learning. The idea of this algorithm is to…

机器学习 · 统计学 2018-03-01 Bai Jiang , Tung-Yu Wu , Yifan Jin , Wing H. Wong

The restricted Boltzmann machine (RBM) is a flexible tool for modeling complex data, however there have been significant computational difficulties in using RBMs to model high-dimensional multinomial observations. In natural language…

机器学习 · 计算机科学 2012-07-06 George E. Dahl , Ryan P. Adams , Hugo Larochelle

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

机器学习 · 计算机科学 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

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…

统计金融 · 定量金融 2026-01-01 Siddhartha Srinivas Rentala

Restricted Boltzmann Machines (RBMs) are a class of generative neural network that are typically trained to maximize a log-likelihood objective function. We argue that likelihood-based training strategies may fail because the objective does…

机器学习 · 统计学 2018-04-25 Charles K. Fisher , Aaron M. Smith , Jonathan R. Walsh

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…

无序系统与神经网络 · 物理学 2021-11-18 Aurélien Decelle , Cyril Furtlehner

In this study, a novel machine learning algorithm, restricted Boltzmann machine (RBM), is introduced. The algorithm is applied for the spectral classification in astronomy. RBM is a bipartite generative graphical model with two separate…

机器学习 · 计算机科学 2013-10-15 Fuqiang Chen , Yan Wu , Yude Bu , Guodong Zhao

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…

机器学习 · 计算机科学 2019-10-16 Pei Yang , Srinivas Varadharajan , Lucas A. Wilson , Don D. Smith , John A Lockman , Vineet Gundecha , Quy Ta

Restricted Boltzmann machines~(RBMs) and conditional RBMs~(CRBMs) are popular models for a wide range of applications. In previous work, learning on such models has been dominated by contrastive divergence~(CD) and its variants. Belief…

机器学习 · 计算机科学 2017-03-06 Wei Ping , Alexander Ihler

Restricted Boltzmann Machines (RBMs) are powerful tools for modeling complex systems and extracting insights from data, but their training is hindered by the slow mixing of Markov Chain Monte Carlo (MCMC) processes, especially with highly…

机器学习 · 计算机科学 2025-12-09 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Lorenzo Rosset , Beatriz Seoane

Boltzmann machines (BMs) are powerful energy-based generative models, but their heavy training cost has largely confined practical use to Restricted BMs (RBMs) trained with an efficient learning method called contrastive divergence. More…

机器学习 · 计算机科学 2025-12-03 Kentaro Kubo , Hayato Goto

Graphical models are a rich language for describing high-dimensional distributions in terms of their dependence structure. While there are algorithms with provable guarantees for learning undirected graphical models in a variety of…

机器学习 · 计算机科学 2018-11-07 Guy Bresler , Frederic Koehler , Ankur Moitra , Elchanan Mossel

RBM-MPC is a computationally efficient variant of Model Predictive Control (MPC) in which the Random Batch Method (RBM) is used to speed up the finite-horizon optimal control problems at each iteration. In this paper, stability and…

最优化与控制 · 数学 2024-03-08 Daniël Veldman , Alexandra Borkowski , Enrique Zuazua