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We investigate the thermodynamic properties of a Restricted Boltzmann Machine (RBM), a simple energy-based generative model used in the context of unsupervised learning. Assuming the information content of this model to be mainly reflected…

无序系统与神经网络 · 物理学 2018-08-20 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

Current large scale implementations of deep learning and data mining require thousands of processors, massive amounts of off-chip memory, and consume gigajoules of energy. Emerging memory technologies such as nanoscale two-terminal…

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

Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

机器学习 · 统计学 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

Energy-based models (EBMs) are a flexible class of deep generative models and are well-suited to capture complex dependencies in multimodal data. However, learning multimodal EBM by maximum likelihood requires Markov Chain Monte Carlo…

机器学习 · 计算机科学 2026-05-04 Jiali Cui , Zhiqiang Lao , Heather Yu

Computational methods for learning to sample from the Boltzmann distribution -- where the target distribution is known only up to an unnormalized energy function -- have advanced significantly recently. Due to the lack of explicit target…

机器学习 · 统计学 2025-11-26 Guan-Horng Liu , Jaemoo Choi , Yongxin Chen , Benjamin Kurt Miller , Ricky T. Q. Chen

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

Many computer vision applications involve modeling complex spatio-temporal patterns in high-dimensional motion data. Recently, restricted Boltzmann machines (RBMs) have been widely used to capture and represent spatial patterns in a single…

计算机视觉与模式识别 · 计算机科学 2017-10-24 Siqi Nie , Ziheng Wang , Qiang Ji

The deep extension of the restricted Boltzmann machine (RBM), known as the deep Boltzmann machine (DBM), is an expressive family of machine learning models which can serve as compact representations of complex probability distributions.…

机器学习 · 计算机科学 2021-02-18 Haik Manukian , Massimiliano Di Ventra

Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization. This fact complicates the crucial…

数值分析 · 数学 2022-10-19 Thomas Bellotti , Loïc Gouarin , Benjamin Graille , Marc Massot

Efficient sampling of unnormalized probability densities such as the Boltzmann distribution of molecular systems is a longstanding challenge. Next to conventional approaches like molecular dynamics or Markov chain Monte Carlo, variational…

机器学习 · 计算机科学 2025-06-18 Henrik Schopmans , Pascal Friederich

Boltzmann machine is a powerful machine learning model with many real-world applications, for example by constructing deep belief networks. Statistical inference on a Boltzmann machine can be carried out by sampling from its posterior…

量子物理 · 物理学 2023-11-23 Mārtiņš Kālis , Andris Locāns , Rolands Šikovs , Hassan Naseri , Andris Ambainis

We motivate Energy-Based Models (EBMs) as a promising model class for continual learning problems. Instead of tackling continual learning via the use of external memory, growing models, or regularization, EBMs change the underlying training…

机器学习 · 计算机科学 2025-03-05 Shuang Li , Yilun Du , Gido M. van de Ven , Igor Mordatch

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

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

A new approach to maximum likelihood learning of discrete graphical models and RBM in particular is introduced. Our method, Perturb and Descend (PD) is inspired by two ideas (I) perturb and MAP method for sampling (II) learning by…

神经与进化计算 · 计算机科学 2014-05-08 Siamak Ravanbakhsh , Russell Greiner , Brendan Frey

Restricted Boltzmann Machines (RBMs) are a common family of undirected graphical models with latent variables. An RBM is described by a bipartite graph, with all observed variables in one layer and all latent variables in the other. We…

机器学习 · 计算机科学 2020-10-20 Guy Bresler , Rares-Darius Buhai

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

We investigate the performance of machine learning algorithms trained exclusively with configurations obtained from importance sampling Monte Carlo simulations of the two-dimensional Ising model with conserved magnetization. For supervised…

统计力学 · 物理学 2021-03-19 Ahmadreza Azizi , Michel Pleimling

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

机器学习 · 计算机科学 2014-04-10 David Buchaca , Enrique Romero , Ferran Mazzanti , Jordi Delgado