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Deep learning algorithms, especially Transformer-based models, have achieved significant performance by capturing long-range dependencies and historical information. However, the power of convolution has not been fully investigated.…

Machine Learning · Computer Science 2023-12-29 Zhihao Yu , Liantao Ma , Yasha Wang , Junfeng Zhao

This paper explores the use of artificial neural networks for the stable and data-driven selection of the frequency parameter in hyperbolic polynomial penalized splines (HP-splines). This parameter defines the underlying spline space and is…

Numerical Analysis · Mathematics 2026-04-24 Vittoria Bruni , Paola Erminia Calabrese , Rosanna Campagna , Domenico Vitulano

Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

Machine Learning · Computer Science 2021-06-11 Sifan Wang , Paris Perdikaris

Recent advancements in image translation for enhancing mixed-exposure images have demonstrated the transformative potential of deep learning algorithms. However, addressing extreme exposure variations in images remains a significant…

Computer Vision and Pattern Recognition · Computer Science 2025-01-10 Shaurya Singh Rathore , Aravind Shenoy , Krish Didwania , Aditya Kasliwal , Ujjwal Verma

This paper considers improved forecasting in possibly nonlinear dynamic settings, with high-dimension predictors ("big data" environments). To overcome the curse of dimensionality and manage data and model complexity, we examine shrinkage…

Econometrics · Economics 2019-04-26 Ali Habibnia , Esfandiar Maasoumi

In this study, physics-informed supervised residual learning (PhiSRL) is proposed to enable an effective, robust, and general deep learning framework for 2D electromagnetic (EM) modeling. Based on the mathematical connection between the…

Computational Physics · Physics 2023-09-29 Tao Shan , Jinhong Zeng , Xiaoqian Song , Rui Guo , Maokun Li , Fan Yang , Shenheng Xu

In this paper, we introduce ProNet, an novel deep learning approach designed for multi-horizon time series forecasting, adaptively blending autoregressive (AR) and non-autoregressive (NAR) strategies. Our method involves dividing the…

Machine Learning · Computer Science 2024-08-13 Yang Lin

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

Machine Learning · Computer Science 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

Machine Learning · Computer Science 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

Ensemble weather predictions require statistical post-processing of systematic errors to obtain reliable and accurate probabilistic forecasts. Traditionally, this is accomplished with distributional regression models in which the parameters…

Machine Learning · Statistics 2019-04-01 Stephan Rasp , Sebastian Lerch

Learning long-term behaviors in chaotic dynamical systems, such as turbulent flows and climate modelling, is challenging due to their inherent instability and unpredictability. These systems exhibit positive Lyapunov exponents, which…

Chaotic Dynamics · Physics 2025-04-02 Xiaoyuan Cheng , Yi He , Yiming Yang , Xiao Xue , Sibo Cheng , Daniel Giles , Xiaohang Tang , Yukun Hu

Unlike classical artificial neural networks, which require retraining for each new set of parametric inputs, the Deep Operator Network (DeepONet), a lately introduced deep learning framework, approximates linear and nonlinear solution…

Computational Engineering, Finance, and Science · Computer Science 2024-03-25 Shashank Kushwaha , Jaewan Park , Seid Koric , Junyan He , Iwona Jasiuk , Diab Abueidda

Recently, graph neural networks have been widely used for network embedding because of their prominent performance in pairwise relationship learning. In the real world, a more natural and common situation is the coexistence of pairwise…

Social and Information Networks · Computer Science 2021-01-19 Xiangguo Sun , Hongzhi Yin , Bo Liu , Hongxu Chen , Jiuxin Cao , Yingxia Shao , Nguyen Quoc Viet Hung

Large Foundation Models (LFMs) have demonstrated significant advantages in civil engineering, but they primarily focus on textual and visual data, overlooking the rich semantic, spatial, and topological features in BIM (Building Information…

Machine Learning · Computer Science 2025-09-30 Jin Han , Xin-Zheng Lu , Jia-Rui Lin

Numerical solving parameterised partial differential equations (P-PDEs) is highly practical yet computationally expensive, driving the development of reduced-order models (ROMs). Recently, methods that combine latent space identification…

Machine Learning · Computer Science 2024-10-08 Xinlei Lin , Dunhui Xiao

Social networks represent a common form of interconnected data frequently depicted as graphs within the domain of deep learning-based inference. These communities inherently form dynamic systems, achieving stability through continuous…

Social and Information Networks · Computer Science 2023-10-04 Outongyi Lv , Bingxin Zhou , Jing Wang , Xiang Xiao , Weishu Zhao , Lirong Zheng

Network embedding is an effective way to solve the network analytics problems such as node classification, link prediction, etc. It represents network elements using low dimensional vectors such that the graph structural information and…

Social and Information Networks · Computer Science 2019-09-04 Yucheng Lin , Xiaoqing Yang , Zang Li , Jieping Ye

Modern deep neural networks are powerful and widely applicable models that extract task-relevant information through multi-level abstraction. Their cross-domain success, however, is often achieved at the expense of computational cost, high…

Computer Vision and Pattern Recognition · Computer Science 2020-07-31 Wenhan Xia , Hongxu Yin , Xiaoliang Dai , Niraj K. Jha

This paper has proposed a new baseline deep learning model of more benefits for image classification. Different from the convolutional neural network(CNN) practice where filters are trained by back propagation to represent different…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Yifei Li , Kuangyan Song , Yiming Sun , Liao Zhu

The accurate forecasting of infectious epidemic diseases is the key to effective control of the epidemic situation in a region. Most existing methods ignore potential dynamic dependencies between regions or the importance of temporal…

Machine Learning · Computer Science 2022-08-25 Feng Xie , Zhong Zhang , Xuechen Zhao , Bin Zhou , Yusong Tan