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The study of genetic variants can help find correlating population groups to identify cohorts that are predisposed to common diseases and explain differences in disease susceptibility and how patients react to drugs. Machine learning…

Reconstructing complex 3D interfaces from indirect measurements remains a grand challenge in scientific computing, particularly for ill-posed inverse problems like Electrical Impedance Tomography (EIT). Traditional shape optimization…

Numerical Analysis · Mathematics 2026-04-23 Haibo Liu , Junqing Chen , Guang Lin

A graph neural network (GCN) is employed in the deep energy method (DEM) model to solve the momentum balance equation in 3D for the deformation of linear elastic and hyperelastic materials due to its ability to handle irregular domains over…

Computational Engineering, Finance, and Science · Computer Science 2022-10-21 Junyan He , Diab Abueidda , Seid Koric , Iwona Jasiuk

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

Numerical Analysis · Mathematics 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

Rotation equivariant graph neural networks, i.e. networks designed to guarantee certain geometric relations between their inputs and outputs, yield state of the art performance on spatial deep learning tasks. They exhibit high data…

Machine Learning · Computer Science 2025-05-12 Vivek Bharadwaj , Austin Glover , Aydin Buluc , James Demmel

In Cassini ISS (Imaging Science Subsystem) images, contour detection is often performed on disk-resolved object to accurately locate their center. Thus, the contour detection is a key problem. Traditional edge detection methods, such as…

Instrumentation and Methods for Astrophysics · Physics 2020-02-05 Xiqi Yang , Qingfeng Zhang , Zhan Li

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

Machine Learning · Computer Science 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

In this paper, we present an Adaptive Ensemble Learning framework that aims to boost the performance of deep neural networks by intelligently fusing features through ensemble learning techniques. The proposed framework integrates ensemble…

Artificial Intelligence · Computer Science 2023-04-07 Neelesh Mungoli

Recovering high-quality depth maps from compressed sources has gained significant attention due to the limitations of consumer-grade depth cameras and the bandwidth restrictions during data transmission. However, current methods still…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Huan Zheng , Wencheng Han , Jianbing Shen

Automatic emotion recognition based on multichannel Electroencephalography (EEG) holds great potential in advancing human-computer interaction. However, several significant challenges persist in existing research on algorithmic emotion…

Machine Learning · Computer Science 2023-10-24 Hongxiang Gao , Xiangyao Wang , Zhenghua Chen , Min Wu , Zhipeng Cai , Lulu Zhao , Jianqing Li , Chengyu Liu

We present the Deep Picard Iteration (DPI) method, a new deep learning approach for solving high-dimensional partial differential equations (PDEs). The core innovation of DPI lies in its use of Picard iteration to reformulate the typically…

Numerical Analysis · Mathematics 2025-07-08 Jiequn Han , Wei Hu , Jihao Long , Yue Zhao

In this paper, we present a novel approach for contour detection with Convolutional Neural Networks. A multi-scale CNN learning framework is designed to automatically learn the most relevant features for contour patch detection. Our method…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Teck Wee Chua , Li Shen

Evolutionary computation methods have been successfully applied to neural networks since two decades ago, while those methods cannot scale well to the modern deep neural networks due to the complicated architectures and large quantities of…

Neural and Evolutionary Computing · Computer Science 2019-03-12 Yanan Sun , Bing Xue , Mengjie Zhang , Gary G. Yen

We propose a new algorithm for sparse estimation of eigenvectors in generalized eigenvalue problems (GEP). The GEP arises in a number of modern data-analytic situations and statistical methods, including principal component analysis (PCA),…

Methodology · Statistics 2020-06-29 Sungkyu Jung , Jeongyoun Ahn , Yongho Jeon

Contour integration techniques have become a popular choice for solving the linear and non-linear eigenvalue problems. They principally include the Sakurai-Sugiura methods, the Beyn's algorithm, the FEAST/NLFEAST algorithms and other…

Numerical Analysis · Mathematics 2020-07-10 Julien Brenneck , Eric Polizzi

We describe a novel algorithm for solving general parametric (nonlinear) eigenvalue problems. Our method has two steps: first, high-accuracy solutions of non-parametric versions of the problem are gathered at some values of the parameters;…

Numerical Analysis · Mathematics 2024-10-14 Davide Pradovera , Alessandro Borghi

While deep neural networks exhibit state-of-the-art results in the task of image super-resolution (SR) with a fixed known acquisition process (e.g., a bicubic downscaling kernel), they experience a huge performance loss when the real…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Tom Tirer , Raja Giryes

The loss functions of deep neural networks are complex and their geometric properties are not well understood. We show that the optima of these complex loss functions are in fact connected by simple curves over which training and test…

Machine Learning · Statistics 2018-10-31 Timur Garipov , Pavel Izmailov , Dmitrii Podoprikhin , Dmitry Vetrov , Andrew Gordon Wilson

We propose an iterative solution method for the 3D high-frequency Helmholtz equation that exploits a contour integral formulation of spectral projectors. In this framework, the solution in certain invariant subspaces is approximated by…

Numerical Analysis · Mathematics 2018-11-30 Xiao Liu , Yuanzhe Xi , Yousef Saad , Maarten V. de Hoop

Deep graph embedding is an important approach for community discovery. Deep graph neural network with self-supervised mechanism can obtain the low-dimensional embedding vectors of nodes from unlabeled and unstructured graph data. The…

Social and Information Networks · Computer Science 2021-02-09 Shuliang Xu , Shenglan Liu , Lin Feng
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