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Datasets in the real world are often complex and to some degree hierarchical, with groups and sub-groups of data sharing common characteristics at different levels of abstraction. Understanding and uncovering the hidden structure of these…

机器学习 · 计算机科学 2023-07-10 Aurélien Decelle , Lorenzo Rosset , 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

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

We develop a machine learning method to construct accurate ground-state wave functions of strongly interacting and entangled quantum spin as well as fermionic models on lattices. A restricted Boltzmann machine algorithm in the form of an…

强关联电子 · 物理学 2017-11-30 Yusuke Nomura , Andrew S. Darmawan , Youhei Yamaji , Masatoshi Imada

Restricted Boltzmann Machines (RBMs) are generative models designed to learn from data with a rich underlying structure. In this work, we explore a teacher-student setting where a student RBM learns from examples generated by a teacher RBM,…

无序系统与神经网络 · 物理学 2026-02-02 Gianluca Manzan , Daniele Tantari

We study the type of distributions that Restricted Boltzmann Machines (RBMs) with different activation functions can express by investigating the effect of the activation function of the hidden nodes on the marginal distribution they impose…

机器学习 · 统计学 2021-03-31 Nicola Bulso , Yasser Roudi

This work analyzes centered binary Restricted Boltzmann Machines (RBMs) and binary Deep Boltzmann Machines (DBMs), where centering is done by subtracting offset values from visible and hidden variables. We show analytically that (i)…

机器学习 · 统计学 2017-02-08 Jan Melchior , Asja Fischer , Laurenz Wiskott

Machine learning methods are powerful in distinguishing different phases of matter in an automated way and provide a new perspective on the study of physical phenomena. We train a Restricted Boltzmann Machine (RBM) on data constructed with…

统计力学 · 物理学 2020-09-23 Shotaro Shiba Funai , Dimitrios Giataganas

Machine learning representations of many-body quantum states have recently been introduced as an ansatz to describe the ground states and unitary evolutions of many-body quantum systems. We explore one of the most important representations,…

量子物理 · 物理学 2019-01-10 Zhih-Ahn Jia , Yuan-Hang Zhang , Yu-Chun Wu , Liang Kong , Guang-Can Guo , Guo-Ping Guo

In this work, we analyze the nonequilibrium thermodynamics of a class of neural networks known as Restricted Boltzmann Machines (RBMs) in the context of unsupervised learning. We show how the network is described as a discrete Markov…

统计力学 · 物理学 2017-08-23 Domingos S. P. Salazar

Restricted Boltzmann Machine (RBM) is an energy based, undirected graphical model. It is commonly used for unsupervised and supervised machine learning. Typically, RBM is trained using contrastive divergence (CD). However, training with CD…

机器学习 · 计算机科学 2021-07-02 Vivek Dixit , Raja Selvarajan , Muhammad A. Alam , Travis S. Humble , Sabre Kais

Representation by neural networks, in particular by restricted Boltzmann machines (RBM), has provided a powerful computational tool to solve quantum many-body problems. An important open question is how to characterize which class of…

量子物理 · 物理学 2019-04-23 Sirui Lu , Xun Gao , L. -M. Duan

A restricted Boltzmann machine (RBM) learns a probability distribution over its input samples and has numerous uses like dimensionality reduction, classification and generative modeling. Conventional RBMs accept vectorized data that…

计算机视觉与模式识别 · 计算机科学 2018-11-13 Cong Chen , Kim Batselier , Ching-Yun Ko , Ngai Wong

Restricted Boltzmann machines (RBMs) are energy-based models analogous to the Ising model and are widely applied in statistical machine learning. The standard inverse Ising problem with a complete dataset requires computing both data and…

机器学习 · 统计学 2025-09-01 Kaiji Sekimoto , Muneki Yasuda

We investigate the efficiency of the recently proposed Restricted Boltzmann Machine (RBM) representation of quantum many-body states to study both the static properties and quantum spin dynamics in the two-dimensional Heisenberg model on a…

强关联电子 · 物理学 2019-07-10 G. Fabiani , J. H. Mentink

We derive relations between theoretical properties of restricted Boltzmann machines (RBMs), popular machine learning models which form the building blocks of deep learning models, and several natural notions from discrete mathematics and…

机器学习 · 统计学 2014-09-22 Guido F. Montufar , Jason Morton

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

Deep learning techniques have been paramount in the last years, mainly due to their outstanding results in a number of applications, that range from speech recognition to face-based user identification. Despite other techniques employed for…

机器学习 · 计算机科学 2016-09-06 Leandro Aparecido Passos Junior , Joao Paulo Papa

The great success of neural networks in recognizing hidden patterns and correlations in complex data lies in the way they take advantage of the large number of parameters and nonlinear single-unit activation, jointly. Restricted Boltzmann…

无序系统与神经网络 · 物理学 2026-05-20 Giovanni di Sarra , Yasser Roudi

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