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This is a tutorial and survey paper on Boltzmann Machine (BM), Restricted Boltzmann Machine (RBM), and Deep Belief Network (DBN). We start with the required background on probabilistic graphical models, Markov random field, Gibbs sampling,…

Machine Learning · Computer Science 2022-08-09 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

When a robot executes a task, it is necessary to model the relationship among its body, target objects, tools, and environment, and to control its body to realize the target state. However, it is difficult to model them using classical…

Robotics · Computer Science 2024-04-25 Kento Kawaharazuka , Kei Okada , Masayuki Inaba

In this paper, we first present a new variant of Gaussian restricted Boltzmann machine (GRBM) called multivariate Gaussian restricted Boltzmann machine (MGRBM), with its definition and learning algorithm. Then we propose using a learned…

Computation and Language · Computer Science 2013-09-25 Xin Zheng , Zhiyong Wu , Helen Meng , Weifeng Li , Lianhong Cai

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…

Optics · Physics 2026-03-13 Li Luo , Yisheng Fang , Wanyi Zhang , Zhichao Ruan

Understanding the internal representations of large language models is crucial for ensuring their reliability and safety, with sparse autoencoders (SAEs) emerging as a promising interpretability approach. However, current SAE training…

Machine Learning · Computer Science 2025-10-13 T. Ed Li , Junyu Ren

We extend the framework of Boltzmann machines to a network of complex-valued neurons with variable amplitudes, referred to as Complex Amplitude-Phase Boltzmann machine (CAP-BM). The model is capable of performing unsupervised learning on…

Machine Learning · Statistics 2020-05-06 Zengyi Li , Friedrich T. Sommer

The Restricted Boltzmann Machine (RBM), an important tool used in machine learning in particular for unsupervized learning tasks, is investigated from the perspective of its spectral properties. Starting from empirical observations, we…

Disordered Systems and Neural Networks · Physics 2018-01-17 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

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…

Machine Learning · Computer Science 2022-09-27 Lennart Dabelow , Masahito Ueda

Deep learning techniques, such as Deep Boltzmann Machines (DBMs), have received considerable attention over the past years due to the outstanding results concerning a variable range of domains. One of the main shortcomings of these…

Machine Learning · Computer Science 2021-01-15 Leandro Aparecido Passos , João Paulo Papa

Extracting automatically the complex set of features composing real high-dimensional data is crucial for achieving high performance in machine--learning tasks. Restricted Boltzmann Machines (RBM) are empirically known to be efficient for…

Data Analysis, Statistics and Probability · Physics 2017-04-05 Jérôme Tubiana , Rémi Monasson

The restricted Boltzmann machine is a basic machine learning tool able, in principle, to model the distribution of some arbitrary dataset. Its standard training procedure appears however delicate and obscure in many respects. We bring some…

Disordered Systems and Neural Networks · Physics 2021-11-18 Aurélien Decelle , Cyril Furtlehner

Temporal grounding of natural language in untrimmed videos is a fundamental yet challenging multimedia task facilitating cross-media visual content retrieval. We focus on the weakly supervised setting of this task that merely accesses to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-21 Jie Wu , Guanbin Li , Xiaoguang Han , Liang Lin

We investigate the potential of a restricted Boltzmann Machine (RBM) for discriminative representation learning. By imposing the class information preservation constraints on the hidden layer of the RBM, we propose a Signed Laplacian…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Dongdong Chen , Jiancheng Lv , Mike E. Davies

In this paper, we newly introduce the concept of temporal attention filters, and describe how they can be used for human activity recognition from videos. Many high-level activities are often composed of multiple temporal parts (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2016-12-28 AJ Piergiovanni , Chenyou Fan , Michael S. Ryoo

The performance of autonomous systems heavily relies on their ability to generate a robust representation of the environment. Deep neural networks have greatly improved vision-based perception systems but still fail in challenging…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Jörg Wagner , Volker Fischer , Michael Herman , Sven Behnke

Learning multiple tasks across heterogeneous domains is a challenging problem since the feature space may not be the same for different tasks. We assume the data in multiple tasks are generated from a latent common domain via sparse domain…

Machine Learning · Computer Science 2012-07-03 Shaobo Han , Xuejun Liao , Lawrence Carin

Transfer Learning is concerned with the application of knowledge gained from solving a problem to a different but related problem domain. In this paper, we propose a method and efficient algorithm for ranking and selecting representations…

Machine Learning · Computer Science 2014-05-29 Son N. Tran , Artur d'Avila Garcez

We pursue an early stopping technique that helps Gaussian Restricted Boltzmann Machines (GRBMs) to gain good natural image representations in terms of overcompleteness and data fitting. GRBMs are widely considered as an unsuitable model for…

Machine Learning · Statistics 2014-01-07 Taichi Kiwaki , Takaki Makino , Kazuyuki Aihara

Pre-trained language models (PTLMs) acquire domain-independent linguistic knowledge through pre-training with massive textual resources. Additional pre-training is effective in adapting PTLMs to domains that are not well covered by the…

Computation and Language · Computer Science 2021-09-20 Kosuke Nishida , Kyosuke Nishida , Sen Yoshida

Temporal modeling in videos is a fundamental yet challenging problem in computer vision. In this paper, we propose a novel Temporal Bilinear (TB) model to capture the temporal pairwise feature interactions between adjacent frames. Compared…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Yanghao Li , Sijie Song , Yuqi Li , Jiaying Liu