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The thesis focuses on various techniques to find an alternate approximation method that could be universally used for a wide range of CFD problems but with low computational cost and low runtime. Various techniques have been explored within…

Machine Learning · Computer Science 2021-11-05 Siddharth Rout , Vikas Dwivedi , Balaji Srinivasan

This article presents a new methodology called deep Theory of Functional Connections (TFC) that estimates the solutions of partial differential equations (PDEs) by combining neural networks with TFC. TFC is used to transform PDEs with…

Numerical Analysis · Computer Science 2020-03-19 Carl Leake

Recently, graph-based and Transformer-based deep learning networks have demonstrated excellent performances on various point cloud tasks. Most of the existing graph methods are based on static graph, which take a fixed input to establish…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Wei Zhou , Qian Wang , Weiwei Jin , Xinzhe Shi , Ying He

Information granules have been considered to be the fundamental constructs of Granular Computing (GrC). As a useful unsupervised learning technique, Fuzzy C-Means (FCM) is one of the most frequently used methods to construct information…

Artificial Intelligence · Computer Science 2020-04-14 Kaijie Xu , Witold Pedrycz , Zhiwu Li

Fine-grained visual classification (FGVC) aims to distinguish the sub-classes of the same category and its essential solution is to mine the subtle and discriminative regions. Convolution neural networks (CNNs), which employ the cross…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Siqing Zhang , Ruoyi Du , Dongliang Chang , Zhanyu Ma , Jun Guo

Continual learning aims to enable neural networks to acquire new knowledge on sequential tasks. However, the key challenge in such settings is to learn new tasks without catastrophically forgetting previously learned tasks. We propose the…

Machine Learning · Computer Science 2026-01-27 Ishir Garg , Neel Kolhe , Andy Peng , Rohan Gopalam

Federated Learning (FL) has emerged as a pivotal framework for the development of effective global models (global FL) or personalized models (personalized FL) across clients with heterogeneous, non-iid data distribution. A key challenge in…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Seongyoon Kim , Minchan Jeong , Sungnyun Kim , Sungwoo Cho , Sumyeong Ahn , Se-Young Yun

Federated Learning (FL) is an emerging learning scheme that allows different distributed clients to train deep neural networks together without data sharing. Neural networks have become popular due to their unprecedented success. To the…

Machine Learning · Computer Science 2021-05-12 Baihe Huang , Xiaoxiao Li , Zhao Song , Xin Yang

Clustering non-independent and identically distributed (non-IID) data under local differential privacy (LDP) in federated settings presents a critical challenge: preserving privacy while maintaining accuracy without iterative communication.…

Machine Learning · Computer Science 2025-12-02 Yunbo Long , Jiaquan Zhang , Xi Chen , Alexandra Brintrup

Federated learning, as a distributed architecture, shows great promise for applications in Cyber-Physical-Social Systems (CPSS). In order to mitigate the privacy risks inherent in CPSS, the integration of differential privacy with federated…

Machine Learning · Computer Science 2025-06-05 Jiayi Wan , Xiang Zhu , Fanzhen Liu , Wei Fan , Xiaolong Xu

The article proposes a Caputo fractional conjugate gradient (CFCG) method for unconstrained optimization problems which is applicable to smooth as well as non-smooth problmes. The proposed method uses a non-adaptive version of the Caputo…

Optimization and Control · Mathematics 2025-12-22 Barsha Shawa , Md Abu Talhamainuddin Ansary

Mean field control (MFC) problems have vast applications in artificial intelligence, engineering, and economics, while solving MFC problems accurately and efficiently in high-dimensional spaces remains challenging. This work introduces…

Optimization and Control · Mathematics 2025-03-26 Jiaxi Zhao , Mo Zhou , Xinzhe Zuo , Wuchen Li

Chance constrained programming (CCP) is a powerful framework for addressing optimization problems under uncertainty. In this paper, we introduce a novel Gradient-Guided Diffusion-based Optimization framework, termed GGDOpt, which tackles…

Optimization and Control · Mathematics 2025-10-15 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

Clustered federated learning (CFL) is proposed to mitigate the performance deterioration stemming from data heterogeneity in federated learning (FL) by grouping similar clients for cluster-wise model training. However, current CFL methods…

Machine Learning · Computer Science 2024-04-01 Yuxin Zhang , Haoyu Chen , Zheng Lin , Zhe Chen , Jin Zhao

We consider a distributed learning problem over multiple access channel (MAC) using a large wireless network. The computation is made by the network edge and is based on received data from a large number of distributed nodes which transmit…

Machine Learning · Computer Science 2020-06-24 Tomer Sery , Kobi Cohen

Recently, discriminatively learned correlation filters (DCF) has drawn much attention in visual object tracking community. The success of DCF is potentially attributed to the fact that a large amount of samples are utilized to train the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Kai Chen , Wenbing Tao

Neural collapse (NC) is a simple and symmetric phenomenon for deep neural networks (DNNs) at the terminal phase of training, where the last-layer features collapse to their class means and form a simplex equiangular tight frame aligning…

Machine Learning · Computer Science 2024-05-03 Sicong Wang , Kuo Gai , Shihua Zhang

In multi-task learning (MTL), gradient conflict poses a significant challenge. Effective methods for addressing this problem, including PCGrad, CAGrad, and GradNorm, in their original implementations are computationally demanding, which…

Machine Learning · Computer Science 2026-04-03 Evgeny Alves Limarenko , Anastasiia Studenikina , Svetlana Illarionova , Maxim Sharaev

Data heterogeneity is an inherent challenge that hinders the performance of federated learning (FL). Recent studies have identified the biased classifiers of local models as the key bottleneck. Previous attempts have used classifier…

Machine Learning · Computer Science 2023-08-29 Zexi Li , Xinyi Shang , Rui He , Tao Lin , Chao Wu

Training Artificial Neural Networks poses a challenging and critical problem in machine learning. Despite the effectiveness of gradient-based learning methods, such as Stochastic Gradient Descent (SGD), in training neural networks, they do…

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