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We are interested in exploring the possibility and benefits of structure learning for deep models. As the first step, this paper investigates the matter for Restricted Boltzmann Machines (RBMs). We conduct the study with Replicated Softmax,…

机器学习 · 计算机科学 2018-08-07 Zhourong Chen , Nevin L. Zhang , Dit-Yan Yeung , Peixian Chen

Learning in restricted Boltzmann machine is typically hard due to the computation of gradients of log-likelihood function. To describe the network state statistics of the restricted Boltzmann machine, we develop an advanced mean field…

统计力学 · 物理学 2015-05-27 Haiping Huang , Taro Toyoizumi

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

Distributions of data or sensory stimuli often enjoy underlying invariances. How and to what extent those symmetries are captured by unsupervised learning methods is a relevant question in machine learning and in computational neuroscience.…

无序系统与神经网络 · 物理学 2020-06-24 Moshir Harsh , Jérôme Tubiana , Simona Cocco , Remi 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…

机器学习 · 统计学 2016-03-21 Chako Takahashi , Muneki Yasuda

The success of any machine learning system depends critically on effective representations of data. In many cases, it is desirable that a representation scheme uncovers the parts-based, additive nature of the data. Of current representation…

机器学习 · 计算机科学 2017-08-21 Tu Dinh Nguyen , Truyen Tran , Dinh Phung , Svetha Venkatesh

Restricted Boltzmann machine (RBM) provide a general framework for modeling physical systems, but their behavior is dependent on hyperparameters such as the learning rate, the number of hidden nodes and the form of the threshold function.…

计算物理 · 物理学 2020-04-28 David Yevick , Roger Melko

The possibility of employing restricted Boltzmann machine (RBM) for collaborative filtering has been known for about a decade. However, there has been hardly any work on this topic since 2007. This work revisits the application of RBM in…

机器学习 · 计算机科学 2019-10-18 Sagar Verma , Prince Patel , Angshul Majumdar

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

Conditional Restricted Boltzmann Machines (CRBMs) are rich probabilistic models that have recently been applied to a wide range of problems, including collaborative filtering, classification, and modeling motion capture data. While much…

机器学习 · 计算机科学 2012-02-20 Volodymyr Mnih , Hugo Larochelle , Geoffrey E. Hinton

Restricted Boltzmann machines (RBMs) are powerful machine learning models, but learning and some kinds of inference in the model require sampling-based approximations, which, in classical digital computers, are implemented using expensive…

机器学习 · 统计学 2014-10-27 Vincent Dumoulin , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fermions. The free motion of the fermions is parametrically…

无序系统与神经网络 · 物理学 2021-02-15 Ya. S. Lyakhova , E. A. Polyakov , A. N. Rubtsov

The Extreme Learning Machine (ELM) is a single-hidden layer feedforward neural network (SLFN) learning algorithm that can learn effectively and quickly. The ELM training phase assigns the input weights and bias randomly and does not change…

神经与进化计算 · 计算机科学 2017-08-18 Andre Pacheco , Renato Krohling , Carlos da Silva

Restricted Boltzmann Machine (RBM) is a generative stochastic energy-based model of artificial neural network for unsupervised learning. Recently, RBM is well known to be a pre-training method of Deep Learning. In addition to visible and…

神经与进化计算 · 计算机科学 2018-07-12 Shin Kamada , Takumi Ichimura

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

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…

量子物理 · 物理学 2025-05-29 Yuan-Hang Zhang , Zhian Jia , Yu-Chun Wu , Guang-Can Guo

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…

机器学习 · 计算机科学 2015-04-21 Gang Chen , Sargur H. Srihari

Statistical analysis of evolutionary-related protein sequences provides insights about their structure, function, and history. We show that Restricted Boltzmann Machines (RBM), designed to learn complex high-dimensional data and their…

定量方法 · 定量生物学 2019-02-28 Jérôme Tubiana , Simona Cocco , Rémi Monasson

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…

无序系统与神经网络 · 物理学 2025-01-09 Giovanni di Sarra , Barbara Bravi , Yasser Roudi

We define a message-passing algorithm for computing magnetizations in Restricted Boltzmann machines, which are Ising models on bipartite graphs introduced as neural network models for probability distributions over spin configurations. To…

机器学习 · 计算机科学 2020-12-02 Burak Çakmak , Manfred Opper