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In this paper, we consider a numerical homogenization of the poroelasticity problem with stochastic properties. The proposed method based on the construction of the deep neural network (DNN) for fast calculation of the effective properties…

Numerical Analysis · Mathematics 2018-10-04 Maria Vasilyeva , Aleksey Tyrylgin

We develop a deep convolutional neural network (DCNN) based framework for model-free prediction of the occurrence of extreme events both in time ("when") and in space ("where") in nonlinear physical systems of spatial dimension two. The…

Machine Learning · Computer Science 2022-04-01 Junjie Jiang , Zi-Gang Huang , Celso Grebogi , Ying-Cheng Lai

Convolutional neural networks (CNNs) have achieved impressive results on imbalanced image data, but they still have difficulty generalizing to minority classes and their decisions are difficult to interpret. These problems are related…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Damien Dablain , Kristen N. Jacobson , Colin Bellinger , Mark Roberts , Nitesh Chawla

We extend the standard scale-free network model to include a ``triad formation step''. We analyze the geometric properties of networks generated by this algorithm both analytically and by numerical calculations, and find that our model…

Disordered Systems and Neural Networks · Physics 2009-11-07 Petter Holme , Beom Jun Kim

Convolutional neural networks (CNNs) are the cutting edge model for supervised machine learning in computer vision. In recent years CNNs have outperformed traditional approaches in many computer vision tasks such as object detection, image…

Neural and Evolutionary Computing · Computer Science 2016-03-01 Nitzan Guberman

We study inverse problems consisting on determining medium properties using the responses to probing waves from the machine learning point of view. Based on the understanding of propagation of waves and their nonlinear interactions, we…

Analysis of PDEs · Mathematics 2018-11-12 Gunther Uhlmann , Yiran Wang

Cluster expansion approximates an on-lattice potential with polynomial regression. We show that using a convolutional neural network (CNN) instead leads to more accurate prediction due to the depth of the network. We construct our CNN…

Deep neural networks are being increasingly used for short-term traffic flow prediction, which can be generally categorized as convolutional (CNNs) or graph neural networks (GNNs). CNNs are preferable for region-wise traffic prediction by…

Physics and Society · Physics 2021-10-12 Wei Zeng , Chengqiao Lin , Kang Liu , Juncong Lin , Anthony K. H. Tung

Continuous-time Bayesian Networks (CTBNs) represent a compact yet powerful framework for understanding multivariate time-series data. Given complete data, parameters and structure can be estimated efficiently in closed-form. However, if…

Machine Learning · Statistics 2019-11-04 Dominik Linzner , Michael Schmidt , Heinz Koeppl

Making kirigami-inspired cuts into a sheet has been shown to be an effective way of designing stretchable materials with metamorphic properties where the 2D shape can transform into complex 3D shapes. However, finding the optimal solutions…

Computational Physics · Physics 2018-12-21 Paul Z. Hanakata , Ekin D. Cubuk , David K. Campbell , Harold S. Park

Convolutional Neural Networks (ConvNets) have shown excellent results on many visual classification tasks. With the exception of ImageNet, these datasets are carefully crafted such that objects are well-aligned at similar scales. Naturally,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-17 Angjoo Kanazawa , Abhishek Sharma , David Jacobs

Deep Convolutional Neural Networks (CNN) have exhibited superior performance in many visual recognition tasks including image classification, object detection, and scene label- ing, due to their large learning capacity and resistance to…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Miao Sun , Tony X. Han , Xun Xu , Ming-Chang Liu , Ahmad Khodayari-Rostamabad

In the past few years, convolutional neural nets (CNN) have shown incredible promise for learning visual representations. In this paper, we use CNNs for the task of predicting surface normals from a single image. But what is the right…

Computer Vision and Pattern Recognition · Computer Science 2014-11-19 Xiaolong Wang , David F. Fouhey , Abhinav Gupta

Convolutional Neural Networks (CNNs) are build specifically for computer vision tasks for which it is known that the input data is a hierarchical structure based on locally correlated elements. The question that naturally arises is what…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Cristian Ivan

Machine learning (ML) entered the field of computational micromagnetics only recently. The main objective of these new approaches is the automatization of solutions of parameter-dependent problems in micromagnetism such as fast response…

Computational Physics · Physics 2021-07-15 Sebastian Schaffer , Norbert J. Mauser , Thomas Schrefl , Dieter Suess , Lukas Exl

Recently, complex wavefront engineering with disordered media has demonstrated optical manipulation capabilities beyond those of conventional optics. These capabilities include extended volume, aberration-free focusing and subwavelength…

Existing defects in software components is unavoidable and leads to not only a waste of time and money but also many serious consequences. To build predictive models, previous studies focus on manually extracting features or using tree…

Software Engineering · Computer Science 2018-02-15 Anh Viet Phan , Minh Le Nguyen , Lam Thu Bui

Most of the recent successful methods in accurate object detection build on the convolutional neural networks (CNN). However, due to the lack of scale normalization in CNN-based detection methods, the activated channels in the feature space…

Computer Vision and Pattern Recognition · Computer Science 2018-08-16 Yonghyun Kim , Bong-Nam Kang , Daijin Kim

Unstructured grid data are essential for modelling complex geometries and dynamics in computational physics. Yet, their inherent irregularity presents significant challenges for conventional machine learning (ML) techniques. This paper…

Mesoscale eddies are of utmost importance in understanding ocean dynamics and the transport of heat, salt, and nutrients. Accurate representation of these eddies in ocean models is essential for improving model predictions. However,…

Fluid Dynamics · Physics 2024-06-07 Guosong Wang , Min Hou , Xinrong Wu , Xidong Wang , Zhigang Gao , Hongli Fu , Bo Dan , Chunjian Sun , Xiaoshuang Zhang