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This paper presents a framework to solve constrained optimization problems in an accelerated manner based on High-Order Tuners (HT). Our approach is based on reformulating the original constrained problem as the unconstrained optimization…

Optimization and Control · Mathematics 2022-05-27 Anjali Parashar , Priyank Srivastava , Anuradha M. Annaswamy

Few-Shot Learning (FSL) aims to improve a model's generalization capability in low data regimes. Recent FSL works have made steady progress via metric learning, meta learning, representation learning, etc. However, FSL remains challenging…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Meng Ye , Xiao Lin , Giedrius Burachas , Ajay Divakaran , Yi Yao

As deep learning becomes more expensive, both in terms of time and compute, inefficiencies in machine learning (ML) training prevent practical usage of state-of-the-art models for most users. The newest model architectures are simply too…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-15 Kabir Nagrecha

The idea of a systematic digital representation of the entire known human pathophysiology, which we could call the Virtual Human Twin, has been around for decades. To date, most research groups focused instead on developing highly…

Medical Physics · Physics 2023-08-15 Marco Viceconti , Maarten De Vos , Sabato Mellone , Liesbet Geris

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

The Digital Twins (DT) has quickly become a hot topic since it was proposed. It not only appears in all kinds of commercial propaganda, but also is widely quoted by academic circles. However, there are misstatements and misuse of the term…

Computational Engineering, Finance, and Science · Computer Science 2022-03-25 Jiehan Zhou , Shouhua Zhang , Mu Gu

Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

Emerging technologies and applications make the network unprecedentedly complex and heterogeneous, leading physical network practices to be costly and risky. The digital twin network (DTN) can ease these burdens by virtually enabling users…

Networking and Internet Architecture · Computer Science 2022-06-02 Linbo Hui , Mowei Wang , Liang Zhang , Lu Lu , Yong Cui

We show that, near periodic orbits, a class of hybrid models can be reduced to or approximated by smooth continuous-time dynamical systems. Specifically, near an exponentially stable periodic orbit undergoing isolated transitions in a…

Dynamical Systems · Mathematics 2015-01-09 Samuel A. Burden , Shai Revzen , S. Shankar Sastry

The accurate and efficient modeling of nuclear reactor transients is crucial for ensuring safe and optimal reactor operation. Traditional physics-based models, while valuable, can be computationally intensive and may not fully capture the…

Applications · Statistics 2024-11-28 James Daniell , Kazuma Kobayashi , Ayodeji Alajo , Syed Bahauddin Alam

Federated Learning (FL) is an emerging domain in the broader context of artificial intelligence research. Methodologies pertaining to FL assume distributed model training, consisting of a collection of clients and a server, with the main…

Machine Learning · Computer Science 2023-05-09 Bhargav Ganguly , Vaneet Aggarwal

Iterative Hard Thresholding (IHT) is a class of projected gradient descent methods for optimizing sparsity-constrained minimization models, with the best known efficiency and scalability in practice. As far as we know, the existing…

Machine Learning · Computer Science 2017-06-22 Bo Liu , Xiao-Tong Yuan , Lezi Wang , Qingshan Liu , Dimitris N. Metaxas

Optimization problems characterized by both discrete and continuous variables are common across various disciplines, presenting unique challenges due to their complex solution landscapes and the difficulty of navigating mixed-variable…

Optimization and Control · Mathematics 2024-06-03 Haoyan Zhai , Qianli Hu , Jiangning Chen

Federated learning has emerged as a popular technique for distributing machine learning (ML) model training across the wireless edge. In this paper, we propose two timescale hybrid federated learning (TT-HF), a semi-decentralized learning…

Deep neural networks (DNNs) have found applications in diverse signal processing (SP) problems. Most efforts either directly adopt the DNN as a black-box approach to perform certain SP tasks without taking into account of any known…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Zhe Zhang , Xiang Chen , Zhi Tian

This paper introduces a machine learning approach to take a nonlinear differential-equation model that exhibits qualitative agreement with a physical experiment over a range of parameter values and produce a hybrid model that also exhibits…

Dynamical Systems · Mathematics 2022-08-24 K. H. Lee , D. A. W. Barton , L. Renson

Hybrid Tensor Networks (hTN) offer a promising solution for encoding variational quantum states beyond the capabilities of efficient classical methods or noisy quantum computers alone. However, their practical usefulness and many…

This paper proposes a neural network hybrid modeling framework for dynamics learning to promote an interpretable, computationally efficient way of dynamics learning and system identification. First, a low-level model will be trained to…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Yejiang Yang , Zihao Mo , Weiming Xiang

Computer-assisted modelling is an essential approach to design new devices. It speeds up the process from the initial idea to an actual device and saves resources by reducing the number of built prototypes. This is also a significant…

General Physics · Physics 2020-03-05 Valtteri Lahtinen , Antti Stenvall

The splitting method is a powerful method for solving partial differential equations. Various splitting methods have been designed to separate different physics, nonlinearities, and so on. Recently, a new splitting approach has been…

Numerical Analysis · Mathematics 2023-03-22 Yalchin Efendiev , Wing Tat Leung , Wenyuan Li , Zecheng Zhang
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