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Finding reduced models of spatially-distributed chemical reaction networks requires an estimation of which effective dynamics are relevant. We propose a machine learning approach to this coarse graining problem, where a maximum entropy…

Biological Physics · Physics 2018-08-15 Oliver K. Ernst , Thomas Bartol , Terrence Sejnowski , Eric Mjolsness

We present a feature learning model that learns to encode relationships between images. The model is defined as a Gated Boltzmann Machine, which is constrained such that hidden units that are nearby in space can gate each other's…

Machine Learning · Computer Science 2013-03-12 Felix Bauer , Roland Memisevic

Boltzmann machines are undirected graphical models with two-state stochastic variables, in which the logarithms of the clique potentials are quadratic functions of the node states. They have been widely studied in the neural computing…

Machine Learning · Computer Science 2013-02-01 Neil D. Lawrence , Christopher M. Bishop , Michael I. Jordan

A Restricted Boltzmann Machine (RBM) is an unsupervised machine-learning bipartite graphical model that jointly learns a probability distribution over data and extracts their relevant statistical features. As such, RBM were recently…

Machine Learning · Computer Science 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Graphical models are powerful tools for modeling high-dimensional data, but learning graphical models in the presence of latent variables is well-known to be difficult. In this work we give new results for learning Restricted Boltzmann…

Machine Learning · Computer Science 2020-07-28 Surbhi Goel , Adam Klivans , Frederic Koehler

Restricted Boltzmann Machines are generative models that consist of a layer of hidden variables connected to another layer of visible units, and they are used to model the distribution over visible variables. In order to gain a higher…

Computer Vision and Pattern Recognition · Computer Science 2023-06-20 Arkaitz Bidaurrazaga , Aritz Pérez , Roberto Santana

Boltzmann Machines (BMs) are graphical models with interconnected binary units, employed for the unsupervised modeling of data distributions. When trained on real data, BMs show the tendency to behave like critical systems, displaying a…

Disordered Systems and Neural Networks · Physics 2024-06-28 Enrico Ventura , Simona Cocco , Rémi Monasson , Francesco Zamponi

We define a message-passing algorithm for computing magnetizations in Restricted Boltzmann machines, which are Ising models on bipartite graphs introduced as neural network models for probability distributions over spin configurations. To…

Machine Learning · Computer Science 2020-12-02 Burak Çakmak , Manfred Opper

NM-landscapes have been recently introduced as a class of tunable rugged models. They are a subset of the general interaction models where all the interactions are of order less or equal $M$. The Boltzmann distribution has been extensively…

Neural and Evolutionary Computing · Computer Science 2015-12-14 Roberto Santana , Alexander Mendiburu , Jose A. Lozano

We describe a model for capturing the statistical structure of local amplitude and local spatial phase in natural images. The model is based on a recently developed, factorized third-order Boltzmann machine that was shown to be effective at…

Computer Vision and Pattern Recognition · Computer Science 2010-11-18 Charles F. Cadieu , Kilian Koepsell

Many physical systems are described by probability distributions that evolve in both time and space. Modeling these systems is often challenging to due large state space and analytically intractable or computationally expensive dynamics. To…

Biological Physics · Physics 2019-07-03 Oliver K. Ernst , Tom Bartol , Terrence Sejnowski , Eric Mjolsness

This work proposes the Lattice Boltzmann Model (LBM) to learn real-world pixel dynamicity for visual tracking. LBM decomposes visual representations into dynamic pixel lattices and solves pixel motion states through collision-streaming…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Guangze Zheng , Shijie Lin , Haobo Zuo , Si Si , Ming-Shan Wang , Changhong Fu , Jia Pan

The Deep Boltzmann Machines (DBM) is a state-of-the-art unsupervised learning model, which has been successfully applied to handwritten digit recognition and, as well as object recognition. However, the DBM is limited in scene recognition…

Computer Vision and Pattern Recognition · Computer Science 2015-06-25 Jinfu Yang , Jingyu Gao , Guanghui Wang , Shanshan Zhang

Boltzmann machines are physics informed generative models with wide applications in machine learning. They can learn the probability distribution from an input dataset and generate new samples accordingly. Applying them back to physics, the…

Computational Physics · Physics 2017-11-20 Lei Wang

Graphical models are a rich language for describing high-dimensional distributions in terms of their dependence structure. While there are algorithms with provable guarantees for learning undirected graphical models in a variety of…

Machine Learning · Computer Science 2018-11-07 Guy Bresler , Frederic Koehler , Ankur Moitra , Elchanan Mossel

The Boltzmann machine provides a useful framework to learn highly complex, multimodal and multiscale data distributions that occur in the real world. The default method to learn its parameters consists of minimizing the Kullback-Leibler…

Machine Learning · Statistics 2015-07-09 Grégoire Montavon , Klaus-Robert Müller , Marco Cuturi

A Boltzmann machine is a stochastic neural network that has been extensively used in the layers of deep architectures for modern machine learning applications. In this paper, we develop a Boltzmann machine that is capable of modelling…

Statistical Mechanics · Physics 2016-10-18 Giacomo Torlai , Roger G. Melko

Restricted Boltzmann machines are used for probabilistic learning and are capable of capturing complex dependencies in data. They are employed for diverse purposes such as dimensionality reduction, feature learning and can be used for…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Rehana Begum Popy , Mahdis Hamdi , Robert L. Stamps

We present the Boltzmann classifier, a novel distance based probabilistic classification algorithm inspired by the Boltzmann distribution. Unlike traditional classifiers that produce hard decisions or uncalibrated probabilities, the…

Machine Learning · Computer Science 2025-06-23 Muhamed Amin , Bernard R. Brooks

It is widely known that Boltzmann machines are capable of representing arbitrary probability distributions over the values of their visible neurons, given enough hidden ones. However, sampling -- and thus training -- these models can be…

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