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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

Focusing on the grand-canonical extension of the ordinary restricted Boltzmann machine, we suggest an energy-based model for feature extraction that uses a layer of hidden units with varying size. By an appropriate choice of the chemical…

无序系统与神经网络 · 物理学 2019-12-13 Orestis Loukas

We consider a restricted Boltzmann Machine (RBM) correlated BCS wave function as the ground state of the two-dimensional Hubbard model and study its electronic and magnetic properties as a function of hole doping. We compare the results…

强关联电子 · 物理学 2024-12-06 Karthik V , Amal Medhi

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

We describe discrete restricted Boltzmann machines: probabilistic graphical models with bipartite interactions between visible and hidden discrete variables. Examples are binary restricted Boltzmann machines and discrete naive Bayes models.…

机器学习 · 统计学 2014-04-23 Guido Montufar , Jason Morton

We explore alternative experimental setups for the iterative sampling (flow) from Restricted Boltzmann Machines (RBM) mapped on the temperature space of square lattice Ising models by a neural network thermometer. This framework has been…

统计力学 · 物理学 2022-03-31 Rodrigo Veiga , Renato Vicente

Large-scale electrophysiological recordings now allow simultaneous monitoring of thousands of neurons across multiple brain regions, revealing structured variability in neural population activity. Understanding how these collective patterns…

The variational wave functions based on neural networks have recently started to be recognized as a powerful ansatz to represent quantum many-body states accurately. In order to show the usefulness of the method among all available…

强关联电子 · 物理学 2021-04-28 Yusuke Nomura

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

Although there has been a rapid development of practical applications, theoretical explanations of deep learning are in their infancy. Deep learning performs a sophisticated coarse graining. Since coarse graining is a key ingredient of the…

机器学习 · 计算机科学 2020-06-11 Ellen de Mello Koch , Robert de Mello Koch , Ling Cheng

Recent advances in deep learning and neural networks have led to an increased interest in the application of generative models in statistical and condensed matter physics. In particular, restricted Boltzmann machines (RBMs) and variational…

无序系统与神经网络 · 物理学 2020-06-09 Francesco D'Angelo , Lucas Böttcher

We study the features extracted by the Restricted Boltzmann Machine (RBM) when it is trained with spin configurations of Ising model at various temperatures. Using the trained RBM, we obtain the flow of iterative reconstructions (RBM flow)…

机器学习 · 计算机科学 2021-11-23 Shotaro Shiba Funai

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 a neural network based on the Ising model, well known for its ability to learn probability distributions and stochastically generate new content. However, the high computational cost of Gibbs…

光学 · 物理学 2026-03-13 Li Luo , Yisheng Fang , Wanyi Zhang , Zhichao Ruan

Boltzmann machine is a powerful tool for modeling probability distributions that govern the training data. A thermal equilibrium state is typically used for Boltzmann machine learning to obtain a suitable probability distribution. The…

Restricted Boltzmann machines (RBMs) and their variants are usually trained by contrastive divergence (CD) learning, but the training procedure is an unsupervised learning approach, without any guidances of the background knowledge. To…

机器学习 · 计算机科学 2018-12-06 Jielei Chu , Hongjun Wang , Hua Meng , Peng Jin , Tianrui Li

An artificial neural network (ANN) with the restricted Boltzmann machine (RBM) architecture was recently proposed as a versatile variational quantum many-body wave function. In this work we provide physical insights into the performance of…

无序系统与神经网络 · 物理学 2020-06-02 Artem Borin , Dmitry A. Abanin

The analysis of mixed data has been raising challenges in statistics and machine learning. One of two most prominent challenges is to develop new statistical techniques and methodologies to effectively handle mixed data by making the data…

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

This paper describes two applications of conditional restricted Boltzmann machines (CRBMs) to the task of autotagging music. The first consists of training a CRBM to predict tags that a user would apply to a clip of a song based on tags…

机器学习 · 计算机科学 2011-03-16 Michael Mandel , Razvan Pascanu , Hugo Larochelle , Yoshua Bengio

We present theoretical study of ordering phenomena in binary $C_{1-x}B_{x}$, $C_{1-x}N_{x}$ and ternary $B_{x}C_{1-x-y}N_{y}$ alloys forming two-dimensional, graphene-like systems. For calculating energy of big systems (20 000 atoms in the…

介观与纳米尺度物理 · 物理学 2017-01-11 Agnieszka Jamróz , Jacek A. Majewski