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The Restricted Boltzmann Machine (RBM), an important tool used in machine learning in particular for unsupervized learning tasks, is investigated from the perspective of its spectral properties. Starting from empirical observations, we…

无序系统与神经网络 · 物理学 2018-01-17 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

Restricted Boltzmann Machine (RBM) is a particular type of random neural network models modeling vector data based on the assumption of Bernoulli distribution. For multi-dimensional and non-binary data, it is necessary to vectorize and…

计算机视觉与模式识别 · 计算机科学 2016-09-28 Simeng Liu , Yanfeng Sun , Yongli Hu , Junbin Gao , Baocai Yin

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…

计算与语言 · 计算机科学 2013-09-25 Xin Zheng , Zhiyong Wu , Helen Meng , Weifeng Li , Lianhong Cai

Restricted Boltzmann Machine (RBM) is a bipartite graphical model that is used as the building block in energy-based deep generative models. Due to numerical stability and quantifiability of the likelihood, RBM is commonly used with…

机器学习 · 统计学 2016-11-15 Chun-Liang Li , Siamak Ravanbakhsh , Barnabas Poczos

This paper describes a novel energy-based probabilistic distribution that represents complex-valued data and explains how to apply it to direct feature extraction from complex-valued spectra. The proposed model, the complex-valued…

音频与语音处理 · 电气工程与系统科学 2018-03-28 Toru Nakashika , Shinji Takaki , Junichi Yamagishi

Classification of sequence data is the topic of interest for dynamic Bayesian models and Recurrent Neural Networks (RNNs). While the former can explicitly model the temporal dependencies between class variables, the latter have a capability…

机器学习 · 计算机科学 2018-03-12 Son N. Tran , Srikanth Cherla , Artur Garcez , Tillman Weyde

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…

无序系统与神经网络 · 物理学 2023-07-17 Aurélien Decelle , Cyril Furtlehner

We present a theoretical analysis of Gaussian-binary restricted Boltzmann machines (GRBMs) from the perspective of density models. The key aspect of this analysis is to show that GRBMs can be formulated as a constrained mixture of…

神经与进化计算 · 计算机科学 2017-02-06 Nan Wang , Jan Melchior , Laurenz Wiskott

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…

机器学习 · 计算机科学 2026-03-11 Nikhil Kapasi , Mohamed Elfouly , William Whitehead , Luke Theogarajan

The Restricted Boltzmann Machine (RBM) is one of the simplest generative neural networks capable of learning input distributions. Despite its simplicity, the analysis of its performance in learning from the training data is only well…

机器学习 · 计算机科学 2025-11-13 Yizhou Xu , Florent Krzakala , Lenka Zdeborová

Ordinal data is omnipresent in almost all multiuser-generated feedback - questionnaires, preferences etc. This paper investigates modelling of ordinal data with Gaussian restricted Boltzmann machines (RBMs). In particular, we present the…

机器学习 · 统计学 2014-08-04 Truyen Tran , Dinh Phung , Svetha Venkatesh

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

We extend the framework of Boltzmann machines to a network of complex-valued neurons with variable amplitudes, referred to as Complex Amplitude-Phase Boltzmann machine (CAP-BM). The model is capable of performing unsupervised learning on…

机器学习 · 统计学 2020-05-06 Zengyi Li , Friedrich T. Sommer

A Restricted Boltzmann Machine (RBM) is an unsupervised machine-learning bipartite graphical model that jointly learns a probability distribution over data and extracts their relevant statistical features. As such, RBM were recently…

机器学习 · 计算机科学 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Approximate Message Passing (AMP) has been shown to be an excellent statistical approach to signal inference and compressed sensing problem. The AMP framework provides modularity in the choice of signal prior; here we propose a hierarchical…

信息论 · 计算机科学 2016-07-11 Eric W. Tramel , Angélique Drémeau , Florent Krzakala

Conditional generative models are capable of using contextual information as input to create new imaginative outputs. Conditional Restricted Boltzmann Machines (CRBMs) are one class of conditional generative models that have proven to be…

机器学习 · 计算机科学 2023-05-16 Alex H. Lang , Anton D. Loukianov , Charles K. Fisher

Extracting automatically the complex set of features composing real high-dimensional data is crucial for achieving high performance in machine--learning tasks. Restricted Boltzmann Machines (RBM) are empirically known to be efficient for…

数据分析、统计与概率 · 物理学 2017-04-05 Jérôme Tubiana , Rémi Monasson

There are many advantages to use probability method for nonlinear system identification, such as the noises and outliers in the data set do not affect the probability models significantly; the input features can be extracted in probability…

系统与控制 · 计算机科学 2018-06-08 Erick de la Rosa , Wen Yu

Restricted Boltzmann Machine (RBM) is an importan- t generative model modeling vectorial data. While applying an RBM in practice to images, the data have to be vec- torized. This results in high-dimensional data and valu- able spatial…

计算机视觉与模式识别 · 计算机科学 2016-01-06 Guanglei Qi , Yanfeng Sun , Junbin Gao , Yongli Hu , Jinghua Li

Restricted Boltzmann machines (RBMs) are endowed with the universal power of modeling (binary) joint distributions. Meanwhile, as a result of their confining network structure, training RBMs confronts less difficulties (compared with more…

机器学习 · 计算机科学 2015-10-22 Sai Zhang
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