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We present an efficient classical algorithm for training deep Boltzmann machines (DBMs) that uses rejection sampling in concert with variational approximations to estimate the gradients of the training objective function. Our algorithm is…

机器学习 · 计算机科学 2015-07-10 Nathan Wiebe , Ashish Kapoor , Christopher Granade , Krysta M Svore

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

Restricted Boltzmann machines (RBMs) are a powerful class of generative models, but their training requires computing a gradient that, unlike supervised backpropagation on typical loss functions, is notoriously difficult even to…

机器学习 · 计算机科学 2020-11-03 Haik Manukian , Yan Ru Pei , Sean R. B. Bearden , Massimiliano Di Ventra

Restricted Boltzmann machines (RBMs) and their extensions, called 'deep-belief networks', are powerful neural networks that have found applications in the fields of machine learning and artificial intelligence. The standard way to training…

机器学习 · 计算机科学 2018-10-25 Haik Manukian , Fabio L. Traversa , Massimiliano Di Ventra

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

We introduce a new method for training deep Boltzmann machines jointly. Prior methods of training DBMs require an initial learning pass that trains the model greedily, one layer at a time, or do not perform well on classification tasks. In…

机器学习 · 统计学 2013-05-02 Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

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…

机器学习 · 计算机科学 2023-07-12 Zhili Feng , Ezra Winston , J. Zico Kolter

Restricted Boltzmann Machines (RBMs) are probabilistic generative models that can be trained by maximum likelihood in principle, but are usually trained by an approximate algorithm called Contrastive Divergence (CD) in practice. In general,…

机器学习 · 计算机科学 2022-11-07 Charles K. Fisher

This paper develops an asymptotic theory for two-step debiased machine learning (DML) estimators in generalised method of moments (GMM) models with general multiway clustered dependence, without relying on cross-fitting. While cross-fitting…

计量经济学 · 经济学 2026-04-07 Kaicheng Chen , Harold D. Chiang

In Deep Learning, a well-known approach for training a Deep Neural Network starts by training a generative Deep Belief Network model, typically using Contrastive Divergence (CD), then fine-tuning the weights using backpropagation or other…

量子物理 · 物理学 2015-10-22 Steven H. Adachi , Maxwell P. Henderson

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Deep Boltzmann Machines (DBMs) are generative neural networks with these desired properties. We integrate a DBM…

神经与进化计算 · 计算机科学 2016-08-09 Malte Probst , Franz Rothlauf

We develop an algorithm for automatic differentiation of Metropolis-Hastings samplers, allowing us to differentiate through probabilistic inference, even if the model has discrete components within it. Our approach fuses recent advances in…

Due to their high computational complexity, deep neural networks are still limited to powerful processing units. To promote a reduced model complexity by dint of low-bit fixed-point quantization, we propose a gradient-based optimization…

机器学习 · 计算机科学 2019-07-18 Lukas Enderich , Fabian Timm , Lars Rosenbaum , Wolfram Burgard

Energy-Based Models (EBMs) offer a versatile framework for modeling complex data distributions. However, training and sampling from EBMs continue to pose significant challenges. The widely-used Denoising Score Matching (DSM) method for…

机器学习 · 统计学 2024-03-20 Mingtian Zhang , Alex Hawkins-Hooker , Brooks Paige , David Barber

Decentralized stochastic optimization has emerged as a fundamental paradigm for large-scale machine learning. However, practical implementations often rely on biased gradient estimators arising from communication compression or inexact…

最优化与控制 · 数学 2026-04-10 Qing Xu , Yiwei Liao , Wenqi Fan , Xingxing You , Songyi Dian

Nowadays this is very popular to use deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training data.…

机器学习 · 计算机科学 2015-08-21 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

机器学习 · 统计学 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

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…

无序系统与神经网络 · 物理学 2022-10-06 Yuma Ichikawa , Koji Hukushima

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

We present doubly stochastic gradient MCMC, a simple and generic method for (approximate) Bayesian inference of deep generative models (DGMs) in a collapsed continuous parameter space. At each MCMC sampling step, the algorithm randomly…

机器学习 · 计算机科学 2016-03-08 Chao Du , Jun Zhu , Bo Zhang
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