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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…

Statistical Mechanics · Physics 2021-03-19 Ahmadreza Azizi , Michel Pleimling

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

Machine Learning · Computer Science 2015-02-25 Jacob Steinhardt , Percy Liang

In this paper, we are interested in building a domain knowledge based deep learning framework to solve the chiller plants energy optimization problems. Compared to the hotspot applications of deep learning (e.g. image classification and…

Signal Processing · Electrical Eng. & Systems 2021-06-14 Fanhe Ma , Faen Zhang , Shenglan Ben , Shuxin Qin , Pengcheng Zhou , Changsheng Zhou , Fengyi Xu

Applying artificial intelligence to scientific problems (namely AI for science) is currently under hot debate. However, the scientific problems differ much from the conventional ones with images, texts, and etc., where new challenges…

Machine Learning · Statistics 2022-08-09 Xiao-Han Wang , Pei Shi , Bin Xi , Jie Hu , Shi-Ju Ran

We present a novel multiscale super-resolution framework (SRLBM) that applies deep learning directly to the mesoscopic density distribution functions of the lattice Boltzmann method for high-fidelity flow reconstruction. Two neural network…

Fluid Dynamics · Physics 2025-09-19 Gengchao Yang , Renyu Luo , Qinghe Yao , Peiji Wang , Jinxiu Zhang

The random neural network (RNN) is a mathematical model for an "integrate and fire" spiking network that closely resembles the stochastic behaviour of neurons in mammalian brains. Since its proposal in 1989, there have been numerous…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Yonghua Yin

We investigate the performance of neural networks in identifying critical behaviour in the 2D Ising model with next-to-nearest neighbour interactions. We train DNN and CNN based classifiers on the Ising model configurations with nearest…

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

Deep learning offers powerful tools for anticipating tipping points in complex systems, yet its potential for detecting flickering (noise-driven switching between coexisting stable states) remains unexplored. Flickering is a hallmark of…

Machine Learning · Computer Science 2025-09-08 Yazdan Babazadeh Maghsoodlo , Madhur Anand , Chris T. Bauch

Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and limits of classification and regression models. In…

Disordered Systems and Neural Networks · Physics 2022-04-01 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

Machine learning has been a fast growing field of research in several areas dealing with large datasets. We report recent attempts to use Renormalization Group (RG) ideas in the context of machine learning. We examine coarse graining…

High Energy Physics - Lattice · Physics 2018-04-18 S. Foreman , J. Giedt , Y. Meurice , J. Unmuth-Yockey

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…

Disordered Systems and Neural Networks · Physics 2024-04-10 Aurélien Decelle , Cyril Furtlehner , Alfonso De Jesus Navas Gómez , Beatriz Seoane

Recent advances in deep learning frameworks have established valuable tools for analyzing the long-timescale behavior of complex systems such as proteins. Especially the inclusion of physical constraints, e.g. time-reversibility, was a…

Quantitative Methods · Quantitative Biology 2021-12-22 Andreas Mardt , Frank Noé

Learning with an artificial neural network encodes the system behavior in a feed-forward function with a number of parameters optimized by data-driven training. An open question is whether one can minimize the network complexity without…

Statistical Mechanics · Physics 2018-09-03 Dongkyu Kim , Dong-Hee Kim

Over the past several years, there have been many studies demonstrating the ability of deep neural networks to identify phase transitions in many physical systems, notably in classical statistical physics systems. One often finds that the…

It is known that a trained Restricted Boltzmann Machine (RBM) on the binary Monte Carlo Ising spin configurations, generates a series of iterative reconstructed spin configurations which spontaneously flow and stabilize to the critical…

Disordered Systems and Neural Networks · Physics 2022-05-11 Dimitrios Giataganas , Ching-Yu Huang , Feng-Li Lin

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…

Machine Learning · Computer Science 2016-09-06 Leandro Aparecido Passos Junior , Joao Paulo Papa

Deep neural networks have achieved great success both in computer vision and natural language processing tasks. However, mostly state-of-art methods highly rely on external training or computing to improve the performance. To alleviate the…

Machine Learning · Computer Science 2020-09-25 Ming Yan , Xueli Xiao , Joey Tianyi Zhou , Yi Pan

We report on simultaneous recordings from cells in all layers of visual cortex and models developed to capture the higher order structure of population spiking activity. Specifically, we use Ising, Restricted Boltzmann Machine (RBM) and…

Neurons and Cognition · Quantitative Biology 2013-01-03 Urs Köster , Jascha Sohl-Dickstein , Charles M. Gray , Bruno A. Olshausen

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