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Singularly perturbed dynamical systems play a crucial role in climate dynamics and plasma physics. A powerful and well-known tool to address these systems is the Fenichel normal form, which significantly simplifies fast dynamics near slow…

Dynamical Systems · Mathematics 2025-05-14 Daniel A. Serino , Allen Alvarez Loya , Joshua W. Burby , Ioannis G. Kevrekidis , Qi Tang

The success of deep learning (DL) methods in the Brain-Computer Interfaces (BCI) field for classification of electroencephalographic (EEG) recordings has been restricted by the lack of large datasets. Privacy concerns associated with EEG…

Machine Learning · Computer Science 2021-01-26 Ce Ju , Dashan Gao , Ravikiran Mane , Ben Tan , Yang Liu , Cuntai Guan

Transfer Learning (TL) plays a crucial role when a given dataset has insufficient labeled examples to train an accurate model. In such scenarios, the knowledge accumulated within a model pre-trained on a source dataset can be transferred to…

Computation and Language · Computer Science 2018-01-22 Tushar Semwal , Gaurav Mathur , Promod Yenigalla , Shivashankar B. Nair

Transfer learning can address the learning tasks of unlabeled data in the target domain by leveraging plenty of labeled data from a different but related source domain. A core issue in transfer learning is to learn a shared feature space in…

Machine Learning · Computer Science 2019-01-10 Peng Xu , Zhaohong Deng , Jun Wang , Qun Zhang , Shitong Wang

This work proposes an unsupervised fusion framework based on deep convolutional transform learning. The great learning ability of convolutional filters for data analysis is well acknowledged. The success of convolutive features owes to…

Machine Learning · Computer Science 2020-11-10 Pooja Gupta , Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux , Giovanni Chierchia

This paper focuses on developing a method to obtain an uncertain linear fractional transformation (LFT) system that adequately captures the dynamics of a nonlinear time-invariant system over some desired envelope. First, the nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Sourav Sinha , Devaprakash Muniraj , Mazen Farhood

Lithology discrimination is a crucial activity in characterizing oil reservoirs, and processing lithology microscopic images is an essential technique for investigating fossils and minerals and geological assessment of shale oil…

In deep learning, transfer learning (TL) has become the de facto approach when dealing with image related tasks. Visual features learnt for one task have been shown to be reusable for other tasks, improving performance significantly. By…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Adrian Tormos , Dario Garcia-Gasulla , Victor Gimenez-Abalos , Sergio Alvarez-Napagao

This paper aims to address a common challenge in deep learning-based image transformation methods, such as image enhancement and super-resolution, which heavily rely on precisely aligned paired datasets with pixel-level alignments. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Zhangkai Ni , Juncheng Wu , Zian Wang , Wenhan Yang , Hanli Wang , Lin Ma

This paper introduces an innovative physics-informed deep learning framework for metamodeling of nonlinear structural systems with scarce data. The basic concept is to incorporate physics knowledge (e.g., laws of physics, scientific…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Ruiyang Zhang , Yang Liu , Hao Sun

Inertial confinement fusion (ICF) experiments are designed using computer simulations that are approximations of reality, and therefore must be calibrated to accurately predict experimental observations. In this work, we propose a novel…

Machine Learning · Computer Science 2018-12-17 K. D. Humbird , J. L. Peterson , R. G. McClarren

In many scientific disciplines, we are interested in inferring the nonlinear dynamical system underlying a set of observed time series, a challenging task in the face of chaotic behavior and noise. Previous deep learning approaches toward…

Machine Learning · Computer Science 2022-07-07 Manuel Brenner , Florian Hess , Jonas M. Mikhaeil , Leonard Bereska , Zahra Monfared , Po-Chen Kuo , Daniel Durstewitz

Predicting the evolution of systems that exhibit spatio-temporal dynamics in response to external stimuli is a key enabling technology fostering scientific innovation. Traditional equations-based approaches leverage first principles to…

Machine Learning · Computer Science 2023-05-02 Francesco Regazzoni , Stefano Pagani , Matteo Salvador , Luca Dede' , Alfio Quarteroni

We propose an approach to Multitask Learning (MTL) to make deep learning models faster and lighter for applications in which multiple tasks need to be solved simultaneously, which is particularly useful in embedded, real-time systems. We…

Computer Vision and Pattern Recognition · Computer Science 2017-11-02 Miquel Martí , Atsuto Maki

Sequences and time-series often arise in robot tasks, e.g., in activity recognition and imitation learning. In recent years, deep neural networks (DNNs) have emerged as an effective data-driven methodology for processing sequences given…

Artificial Intelligence · Computer Science 2021-01-29 Yaqi Xie , Fan Zhou , Harold Soh

Structural condition identification based on monitoring data is important for automatic civil infrastructure asset management. Nevertheless, the monitoring data is almost always insufficient, because the real-time monitoring data of a…

Computational Engineering, Finance, and Science · Computer Science 2023-07-31 Nengxin Bao , Tong Zhang , Ruizhi Huang , Suryakanta Biswal , Jingyong Su , Ying Wang

The proliferation of sensors brings an immense volume of spatio-temporal (ST) data in many domains, including monitoring, diagnostics, and prognostics applications. Data curation is a time-consuming process for a large volume of data,…

In recent years, thanks to the rapid development of deep learning (DL), DL-based multi-task learning (MTL) has made significant progress, and it has been successfully applied to recommendation systems (RS). However, in a recommender system,…

Information Retrieval · Computer Science 2023-02-13 Jie Zhou , Qian Yu , Chuan Luo , Jing Zhang

Physics-Informed Neural Networks (PINNs) are deep learning models that incorporate the governing physical laws of a system into the learning process, making them well-suited for solving complex scientific and engineering problems. Recently,…

Machine Learning · Computer Science 2025-07-18 Athanasios Papastathopoulos-Katsaros , Alexandra Stavrianidi , Zhandong Liu

We study the transfer learning (TL) for the functional linear regression (FLR) under the Reproducing Kernel Hilbert Space (RKHS) framework, observing that the TL techniques in existing high-dimensional linear regression are not compatible…

Machine Learning · Statistics 2025-06-10 Haotian Lin , Matthew Reimherr