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Implementations of symmetric positive definite (SPD) matrix-based neural networks for neural decoding remain fragmented across research codebases and Python packages. Existing implementations often employ ad hoc handling of manifold…

Neurons and Cognition · Quantitative Biology 2026-02-27 Bruno Aristimunha , Ce Ju , Antoine Collas , Florent Bouchard , Ammar Mian , Bertrand Thirion , Sylvain Chevallier , Reinmar Kobler

Federated Learning has been recently proposed for distributed model training at the edge. The principle of this approach is to aggregate models learned on distributed clients to obtain a new more general "average" model (FedAvg). The…

Machine Learning · Statistics 2022-07-20 Adnan Ben Mansour , Gaia Carenini , Alexandre Duplessis , David Naccache

Federated learning enables a large amount of edge computing devices to learn a model without data sharing jointly. As a leading algorithm in this setting, Federated Average FedAvg, which runs Stochastic Gradient Descent (SGD) in parallel on…

Machine Learning · Computer Science 2022-11-04 Xiaoxiao Li , Zhao Song , Runzhou Tao , Guangyi Zhang

Federated learning (FL) aims to train machine learning models in the decentralized system consisting of an enormous amount of smart edge devices. Federated averaging (FedAvg), the fundamental algorithm in FL settings, proposes on-device…

Machine Learning · Computer Science 2020-12-17 Xin Yao , Tianchi Huang , Rui-Xiao Zhang , Ruiyu Li , Lifeng Sun

Decoding brain activity from electroencephalography (EEG) is crucial for neuroscience and clinical applications. Among recent advances in deep learning for EEG, geometric learning stands out as its theoretical underpinnings on symmetric…

Artificial Intelligence · Computer Science 2026-02-27 Haohui Jia , Zheng Chen , Lingwei Zhu , Xu Cao , Yasuko Matsubara , Takashi Matsubara , Yasushi Sakurai

Federated learning is highly valued due to its high-performance computing in distributed environments while safeguarding data privacy. To address resource heterogeneity, researchers have proposed a semi-asynchronous federated learning…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-28 Yunbo Li , Jiaping Gui , Yue Wu

Euclidean representation learning methods have achieved promising results in image fusion tasks, which can be attributed to their clear advantages in handling with linear space. However, data collected from a realistic scene usually has a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Huan Kang , Hui Li , Tianyang Xu , Xiao-Jun Wu , Rui Wang , Chunyang Cheng , Josef Kittler

Local Stochastic Gradient Descent (SGD) with periodic model averaging (FedAvg) is a foundational algorithm in Federated Learning. The algorithm independently runs SGD on multiple workers and periodically averages the model across all the…

Machine Learning · Computer Science 2022-01-12 Sunwoo Lee , Anit Kumar Sahu , Chaoyang He , Salman Avestimehr

To improve business efficiency and minimize costs, Artificial Intelligence (AI) practitioners have adopted a shift from formulating models from scratch towards sharing pretrained models. The pretrained models are then aggregated into a…

Neural and Evolutionary Computing · Computer Science 2025-05-12 Anthony Kiggundu , Dennis Krummacker , Hans D. Schotten

Federated Learning using the Federated Averaging algorithm has shown great advantages for large-scale applications that rely on collaborative learning, especially when the training data is either unbalanced or inaccessible due to privacy…

Machine Learning · Computer Science 2021-07-21 Jonatan Reyes , Lisa Di Jorio , Cecile Low-Kam , Marta Kersten-Oertel

Federated learning enables a large amount of edge computing devices to jointly learn a model without data sharing. As a leading algorithm in this setting, Federated Averaging (\texttt{FedAvg}) runs Stochastic Gradient Descent (SGD) in…

Machine Learning · Statistics 2020-06-26 Xiang Li , Kaixuan Huang , Wenhao Yang , Shusen Wang , Zhihua Zhang

Estimating matrices in the symmetric positive-definite (SPD) cone is of interest for many applications ranging from computer vision to graph learning. While there exist various convex optimization-based estimators, they remain limited in…

Machine Learning · Computer Science 2025-03-24 Can Pouliquen , Mathurin Massias , Titouan Vayer

Neuroimaging provides essential tools for characterizing brain activity by quantifying connectivity strength between remote regions, using different modalities that capture different aspects of connectivity. Yet, decoding meaningful neural…

Machine Learning · Computer Science 2026-01-08 Ce Ju , Reinmar Kobler , Antoine Collas , Motoaki Kawanabe , Cuntai Guan , Bertrand Thirion

Federated learning allows edge devices to collaboratively learn a shared model while keeping the training data on device, decoupling the ability to do model training from the need to store the data in the cloud. We propose Federated matched…

Machine Learning · Computer Science 2020-02-18 Hongyi Wang , Mikhail Yurochkin , Yuekai Sun , Dimitris Papailiopoulos , Yasaman Khazaeni

Federated learning is a paradigm of distributed machine learning in which multiple clients coordinate with a central server to learn a model, without sharing their own training data. Standard federated optimization methods such as Federated…

Machine Learning · Computer Science 2024-05-15 Sohom Mukherjee , Nicolas Loizou , Sebastian U. Stich

Efficient deployment of deep neural networks across many devices and resource constraints, particularly on edge devices, is one of the most challenging problems in the presence of data-privacy preservation issues. Conventional approaches…

Machine Learning · Computer Science 2022-10-07 Taehyeon Kim , Se-Young Yun

Federated Learning (FL) enables large-scale distributed training of machine learning models, while still allowing individual nodes to maintain data locally. However, executing FL at scale comes with inherent practical challenges: 1)…

Machine Learning · Computer Science 2025-05-23 Hossein Zakerinia , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

As a paradigm of distributed machine learning, federated learning typically requires all edge devices to train a complete model locally. However, with the increasing scale of artificial intelligence models, the limited resources on edge…

Machine Learning · Computer Science 2024-12-11 Junhe Zhang , Wanli Ni , Dongyu Wang

We propose Fiber Bundle Networks (FiberNet), a novel machine learning framework integrating differential geometry with machine learning. Unlike traditional deep neural networks relying on black-box function fitting, we reformulate…

Machine Learning · Computer Science 2025-12-02 Dong Liu

Recent studies have shown that aggregating convolutional features of a pre-trained Convolutional Neural Network (CNN) can obtain impressive performance for a variety of visual tasks. The symmetric Positive Definite (SPD) matrix becomes a…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Zhi Gao , Yuwei Wu , Xingyuan Bu , Yunde Jia
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