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Recurrent neural networks (RNNs) are machine learning models widely used for learning temporal relationships. Current state-of-the-art RNNs use integrating or spiking neurons -- two classes of computing units whose outputs depend directly…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Peter DelMastro , Arjun Karuvally , Hananel Hazan , Hava Siegelmann , Edward Rietman

Deep learning, as a highly efficient method for metasurface inverse design, commonly use simulation data to train deep neural networks (DNNs) that can map desired functionalities to proper metasurface designs. However, the assumptions and…

Signal Processing · Electrical Eng. & Systems 2023-08-07 Jingxin Zhang , Jiawei Xi , Peixing Li , Ray C. C. Cheung , Alex M. H. Wong , Jensen Li

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

Social and Information Networks · Computer Science 2020-06-19 Chengxi Zang , Fei Wang

Mathematical modeling is an essential step, for example, to analyze the transient behavior of a dynamical process and to perform engineering studies such as optimization and control. With the help of first-principles and expert knowledge, a…

Machine Learning · Computer Science 2021-03-30 Pawan Goyal , Peter Benner

In this paper we present a neural network-based method for the automatic detection of phase transitions and classification of hidden percolation patterns in a (1+1)-dimensional replication process. The proposed network model is based on the…

Machine Learning · Computer Science 2025-10-20 Danil Parkhomenko , Pavel Ovchinnikov , Konstantin Soldatov , Vitalii Kapitan , Gennady Y. Chitov

We present a numerical framework for approximating unknown governing equations using observation data and deep neural networks (DNN). In particular, we propose to use residual network (ResNet) as the basic building block for equation…

Numerical Analysis · Mathematics 2019-07-24 Tong Qin , Kailiang Wu , Dongbin Xiu

A fully-convolutional neural-network model is used to predict the streamwise velocity fields at several wall-normal locations by taking as input the streamwise and spanwise wall-shear-stress planes in a turbulent open channel flow. The…

Fluid Dynamics · Physics 2020-08-26 L. Guastoni , M. P. Encinar , P. Schlatter , H. Azizpour , R. Vinuesa

A universal supervised neural network (NN) relevant to compute the associated criticalities of real experiments studying phase transitions is constructed. The validity of the built NN is examined by applying it to calculate the…

Disordered Systems and Neural Networks · Physics 2021-03-22 D. -R. Tan , J. -H. Peng , Y. -H. Tseng , F. -J. Jiang

Surfaces serve as highly efficient catalysts for a vast variety of chemical reactions. Typically, such surface reactions involve billions of molecules which diffuse and react over macroscopic areas. Therefore, stochastic fluctuations are…

Statistical Mechanics · Physics 2007-10-12 B. Barzel , O. Biham

Recent methods for neural surface representation and rendering, for example NeuS, have demonstrated the remarkably high-quality reconstruction of static scenes. However, the training of NeuS takes an extremely long time (8 hours), which…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Yiming Wang , Qin Han , Marc Habermann , Kostas Daniilidis , Christian Theobalt , Lingjie Liu

Transition interface sampling (TIS) and replica exchange TIS (RETIS) are powerful methods for computing rates of rare events inaccessible to straightforward molecular dynamics (MD) simulations. Path reweighting extends their output,…

Chemical Physics · Physics 2026-05-15 Titus S. van Erp , Daniel T. Zhang , Elias Wils , Sina Safaei , An Ghysels

An ability to generalize unconstrained conditions such as severe occlusions and large pose variations remains a challenging goal to achieve in face alignment. In this paper, a multistage model based on deep neural networks is proposed which…

Computer Vision and Pattern Recognition · Computer Science 2020-02-05 Huabin Wang , Rui Cheng , Jian Zhou , Liang Tao , Hon Keung Kwan

Multivariate geo-sensory time series prediction is challenging because of the complex spatial and temporal correlation. In urban water distribution systems (WDS), numerous spatial-correlated sensors have been deployed to continuously…

Machine Learning · Computer Science 2020-04-15 Ziqing Ma , Shuming Liu , Guancheng Guo , Xipeng Yu

Dynamical systems (DS) methods for Learning-from-Demonstration (LfD) provide stable, continuous policies from few demonstrations. First-order dynamical systems (DS) are effective for many point-to-point and periodic tasks, as long as a…

Robotics · Computer Science 2026-05-19 Ahmet Tekden , Dimitrios Kanoulas , Aude Billard , Yasemin Bekiroglu

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

Physics and Society · Physics 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

Recurrent neural networks (RNNs) are popular machine learning tools for modeling and forecasting sequential data and for inferring dynamical systems (DS) from observed time series. Concepts from DS theory (DST) have variously been used to…

Machine Learning · Computer Science 2023-10-27 Lukas Eisenmann , Zahra Monfared , Niclas Alexander Göring , Daniel Durstewitz

Deep neural network (DNN) based approaches hold significant potential for reinforcement learning (RL) and have already shown remarkable gains over state-of-art methods in a number of applications. The effectiveness of DNN methods can be…

Machine Learning · Statistics 2017-06-01 Henghui Zhu , Feng Nan , Ioannis Paschalidis , Venkatesh Saligrama

Accurate estimation of production times is critical for effective manufacturing scheduling, yet traditional methods relying on expert analysis or historical data often fall short in dynamic or customized production environments. This paper…

Machine Learning · Computer Science 2025-09-05 Grzegorz Miebs , Rafał A. Bachorz

Transition State Theory overestimates reaction rates in solution because conventional dividing surfaces between reagents and products are crossed many times by the same reactive trajectory. We describe a recipe for constructing a…

Statistical Mechanics · Physics 2007-05-23 Thomas Bartsch , Rigoberto Hernandez , T. Uzer

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

Optimization and Control · Mathematics 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger
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