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A hybrid quantum-classical method for learning Boltzmann machines (BM) for a generative and discriminative task is presented. Boltzmann machines are undirected graphs with a network of visible and hidden nodes where the former is used as…

量子物理 · 物理学 2022-07-21 Siddhartha Srivastava , Veera Sundararaghavan

Energy-based generative models, such as restricted Boltzmann machines (RBMs), require unbiased Boltzmann samples for effective training. Classical Markov chain Monte Carlo methods, however, converge slowly and yield correlated samples,…

量子物理 · 物理学 2026-03-16 Gilhan Kim , Ju-Yeon Gyhm , Daniel K. Park

Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model is usually not…

机器学习 · 计算机科学 2022-09-27 Lennart Dabelow , Masahito Ueda

Restricted Boltzmann Machines (RBMs) are powerful tools for modeling complex systems and extracting insights from data, but their training is hindered by the slow mixing of Markov Chain Monte Carlo (MCMC) processes, especially with highly…

机器学习 · 计算机科学 2025-12-09 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Lorenzo Rosset , Beatriz Seoane

Restricted Boltzmann Machines (RBM) have attracted a lot of attention of late, as one the principle building blocks of deep networks. Training RBMs remains problematic however, because of the intractibility of their partition function. The…

机器学习 · 统计学 2010-12-17 Guillaume Desjardins , Aaron Courville , Yoshua Bengio

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

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

机器学习 · 计算机科学 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

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

This paper studies the fundamental learning problem of the energy-based model (EBM). Learning the EBM can be achieved using the maximum likelihood estimation (MLE), which typically involves the Markov Chain Monte Carlo (MCMC) sampling, such…

机器学习 · 计算机科学 2023-12-06 Jiali Cui , Tian Han

Score matching (SM) provides a compelling approach to learn energy-based models (EBMs) by avoiding the calculation of partition function. However, it remains largely open to learn energy-based latent variable models (EBLVMs), except some…

机器学习 · 计算机科学 2020-10-19 Fan Bao , Chongxuan Li , Kun Xu , Hang Su , Jun Zhu , Bo Zhang

Restricted Boltzmann Machine (RBM) is a generative stochastic neural network that can be applied to collaborative filtering technique used by recommendation systems. Prediction accuracy of the RBM model is usually better than that of other…

机器学习 · 计算机科学 2019-10-16 Pei Yang , Srinivas Varadharajan , Lucas A. Wilson , Don D. Smith , John A Lockman , Vineet Gundecha , Quy Ta

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

Energy-based models (EBMs) are flexible generative architectures inspired by statistical physics, but their learning and generative properties remain poorly understood. Here, we analyze a solvable EBM in the high-dimensional limit: the…

机器学习 · 计算机科学 2026-05-12 Thomas Tulinski , Simona Cocco , Rémi Monasson , Jorge Fernandez-De-Cossio-Diaz

Efficient sampling from the Boltzmann distribution given its energy function is a key challenge for modeling complex physical systems such as molecules. Boltzmann Generators address this problem by leveraging continuous normalizing flows to…

机器学习 · 计算机科学 2025-10-17 Rishal Aggarwal , Jacky Chen , Nicholas M. Boffi , David Ryan Koes

Scalable sampling of molecular states in thermodynamic equilibrium is a long-standing challenge in statistical physics. Boltzmann generators tackle this problem by pairing normalizing flows with importance sampling to obtain uncorrelated…

机器学习 · 计算机科学 2026-01-21 Charlie B. Tan , Avishek Joey Bose , Chen Lin , Leon Klein , Michael M. Bronstein , Alexander Tong

The use of generative models to sample equilibrium distributions of many-body systems, as first demonstrated by Boltzmann Generators, has attracted substantial interest due to their ability to produce unbiased and uncorrelated samples in…

统计力学 · 物理学 2025-10-23 Maximilian Schebek , Frank Noé , Jutta Rogal

An energy-based model (EBM) is a popular generative framework that offers both explicit density and architectural flexibility, but training them is difficult since it is often unstable and time-consuming. In recent years, various training…

机器学习 · 计算机科学 2023-03-07 Hankook Lee , Jongheon Jeong , Sejun Park , Jinwoo Shin

The Boltzmann Machine (BM) is a neural network composed of stochastically firing neurons that can learn complex probability distributions by adapting the synaptic interactions between the neurons. BMs represent a very generic class of…

介观与纳米尺度物理 · 物理学 2021-09-16 Brian Kiraly , Elze J. Knol , Hilbert J. Kappen , Alexander A. Khajetoorians

Generative models offer a direct way of modeling complex data. Energy-based models attempt to encode the statistical correlations observed in the data at the level of the Boltzmann weight associated with an energy function in the form of a…

无序系统与神经网络 · 物理学 2024-04-10 Aurélien Decelle , Cyril Furtlehner , Alfonso De Jesus Navas Gómez , Beatriz Seoane

We propose a scheme to calibrate the internal parameters of a quantum annealer to obtain well-approximated samples for training a restricted Boltzmann machine (RBM). Empirically, samples from quantum annealers obey the Boltzmann…

量子物理 · 物理学 2025-02-18 Takeru Goto , Masayuki Ohzeki
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