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We design a low complexity decentralized learning algorithm to train a recently proposed large neural network in distributed processing nodes (workers). We assume the communication network between the workers is synchronized and can be…

Machine Learning · Computer Science 2020-09-30 Xinyue Liang , Alireza M. Javid , Mikael Skoglund , Saikat Chatterjee

This paper introduces a data-driven operator learning method for multiscale partial differential equations, with a particular emphasis on preserving high-frequency information. Drawing inspiration from the representation of multiscale…

Machine Learning · Computer Science 2024-08-05 Bo Xu , Xinliang Liu , Lei Zhang

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

Machine Learning · Computer Science 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

Machine Learning · Computer Science 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

We propose a novel fine-tuning method to achieve multi-operator learning through training a distributed neural operator with diverse function data and then zero-shot fine-tuning the neural network using physics-informed losses for…

Machine Learning · Computer Science 2024-11-12 Zecheng Zhang , Christian Moya , Lu Lu , Guang Lin , Hayden Schaeffer

In scientific and engineering applications, solving partial differential equations (PDEs) across various parameters and domains normally relies on resource-intensive numerical methods. Neural operators based on deep learning offered a…

Numerical Analysis · Mathematics 2024-06-21 Zhiwei Zhao , Changqing Liu , Yingguang Li , Zhibin Chen , Xu Liu

We propose doubly nested network(DNNet) where all neurons represent their own sub-models that solve the same task. Every sub-model is nested both layer-wise and channel-wise. While nesting sub-models layer-wise is straight-forward with…

Machine Learning · Computer Science 2018-06-21 Jaehong Kim , Sungeun Hong , Yongseok Choi , Jiwon Kim

Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to…

Machine Learning · Computer Science 2023-09-22 Saurabh Patil , Zijie Li , Amir Barati Farimani

Neural networks have been applied to control problems, typically by combining data, differential equation residuals, and objective costs in the training loss or by incorporating auxiliary architectural components. Instead, we propose a…

Optimization and Control · Mathematics 2026-04-10 Oliver G. S. Lundqvist , Fabricio Oliveira

The predictive accuracy of operator learning frameworks depends on the quality and quantity of available training data (input-output function pairs), often requiring substantial amounts of high-fidelity data, which can be challenging to…

Machine Learning · Computer Science 2025-10-29 Sumanta Roy , Bahador Bahmani , Ioannis G. Kevrekidis , Michael D. Shields

Large amount of data is often required to train and deploy useful machine learning models in industry. Smaller enterprises do not have the luxury of accessing enough data for machine learning, For privacy sensitive fields such as banking,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-05 Felix Ongati , Eng. Lawrence Muchemi

The study of operator learning involves the utilization of neural networks to approximate operators. Traditionally, the focus has been on single-operator learning (SOL). However, recent advances have rapidly expanded this to include the…

Machine Learning · Computer Science 2024-04-09 Zecheng Zhang

Neural operators have emerged as a powerful tool for solving partial differential equations (PDEs) and other complex scientific computing tasks. However, the performance of single operator block is often limited, thus often requiring…

Numerical Analysis · Mathematics 2025-07-18 Yichen Wang , Wenlian Lu

We propose distributed deep neural networks (DDNNs) over distributed computing hierarchies, consisting of the cloud, the edge (fog) and end devices. While being able to accommodate inference of a deep neural network (DNN) in the cloud, a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Surat Teerapittayanon , Bradley McDanel , H. T. Kung

The popularity and diffusion of wearable devices provides new opportunities for sensor-based human activity recognition that leverages deep learning-based algorithms. Although impressive advances have been made, two major challenges remain.…

Signal Processing · Electrical Eng. & Systems 2024-02-16 Mengna Liu , Dong Xiang , Xu Cheng , Xiufeng Liu , Dalin Zhang , Shengyong Chen , Christian S. Jensen

Deep neural networks (DNNs) have great potential to solve many real-world problems, but they usually require an extensive amount of computation and memory. It is of great difficulty to deploy a large DNN model to a single resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Minghai Qin , Chao Sun , Jaco Hofmann , Dejan Vucinic

Sensor-based human activity recognition is a key technology for many human-centered intelligent applications. However, this research is still in its infancy and faces many unresolved challenges. To address these, we propose a comprehensive…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Hanyu Liu , Ying Yu , Hang Xiao , Siyao Li , Xuze Li , Jiarui Li , Haotian Tang

Deep Neural Networks (DNNs) have recently shown state of the art performance on semantic segmentation tasks, however, they still suffer from problems of poor boundary localization and spatial fragmented predictions. The difficulties lie in…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Peng Jiang , Fanglin Gu , Yunhai Wang , Changhe Tu , Baoquan Chen

The multi-scale and non-linear nature of phase-field models of solidification requires fine spatial and temporal discretization, leading to long computation times. This could be overcome with artificial-intelligence approaches. Surrogate…

Analysis of PDEs · Mathematics 2026-04-21 Chih-Kang Huang , Ludovick Gagnon , Miha Založnik , Benoît Appolaire

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

Optimization and Control · Mathematics 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari