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Decentralized learning (DL) enables collaborative machine learning (ML) without a central server, making it suitable for settings where training data cannot be centrally hosted. We introduce Mosaic Learning, a DL framework that decomposes…

Finding a small spectral approximation for a tall $n \times d$ matrix $A$ is a fundamental numerical primitive. For a number of reasons, one often seeks an approximation whose rows are sampled from those of $A$. Row sampling improves…

Data Structures and Algorithms · Computer Science 2016-04-20 Michael B. Cohen , Cameron Musco , Jakub Pachocki

Fully decentralised federated learning enables collaborative training of individual machine learning models on a distributed network of communicating devices while keeping the training data localised on each node. This approach avoids…

Machine Learning · Computer Science 2025-05-23 Arash Badie-Modiri , Chiara Boldrini , Lorenzo Valerio , János Kertész , Márton Karsai

We propose a decentralised "local2global"' approach to graph representation learning, that one can a-priori use to scale any embedding technique. Our local2global approach proceeds by first dividing the input graph into overlapping…

Machine Learning · Computer Science 2022-01-14 Lucas G. S. Jeub , Giovanni Colavizza , Xiaowen Dong , Marya Bazzi , Mihai Cucuringu

We consider online model selection with decentralized data over $M$ clients, and study the necessity of collaboration among clients. Previous work proposed various federated algorithms without demonstrating their necessity,while we answer…

Machine Learning · Computer Science 2024-10-08 Junfan Li , Zheshun Wu , Zenglin Xu , Irwin King

The popularity of federated learning comes from the possibility of better scalability and the ability for participants to keep control of their data, improving data security and sovereignty. Unfortunately, sharing model updates also creates…

Machine Learning · Computer Science 2024-06-05 Edwige Cyffers , Aurélien Bellet , Jalaj Upadhyay

In this paper, a new general decomposition theory inspired from modular graph decomposition is presented. Our main result shows that, within this general theory, most of the nice algorithmic tools developed for modular decomposition are…

Data Structures and Algorithms · Computer Science 2007-05-23 Binh Minh Bui Xuan , Michel Habib , Vincent Limouzy , Fabien De Montgolfier

We note that building a magnetic Laplacian from the Markov transition matrix, rather than the graph adjacency matrix, yields several benefits for the magnetic eigenmaps algorithm. The two largest benefits are that the embedding becomes more…

Social and Information Networks · Computer Science 2016-11-04 Alexander Cloninger

We extend the decomposition approach for learning Bayesian networks (BNs) proposed by (Xie et. al.) to learning multivariate regression chain graphs (MVR CGs), which include BNs as a special case. The same advantages of this decomposition…

Artificial Intelligence · Computer Science 2020-02-26 Mohammad Ali Javidian , Marco Valtorta

Deep neural networks have shown the ability to extract universal feature representations from data such as images and text that have been useful for a variety of learning tasks. However, the fruits of representation learning have yet to be…

Machine Learning · Computer Science 2023-03-28 Liam Collins , Hamed Hassani , Aryan Mokhtari , Sanjay Shakkottai

Analytics over social graphs allows to extract valuable knowledge and insights for many fields like community detection, fraud detection, and interest mining. In practice, decentralized social graphs frequently arise, where the social graph…

Cryptography and Security · Computer Science 2022-06-22 Songlei Wang , Yifeng Zheng , Xiaohua Jia , Xun Yi

The original contributions of this paper are twofold: a new understanding of the influence of noise on the eigenvectors of the graph Laplacian of a set of image patches, and an algorithm to estimate a denoised set of patches from a noisy…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Francois G. Meyer , Xilin Shen

Networks significantly influence social, economic, and organizational outcomes, with centrality measures serving as crucial tools to capture the importance of individual nodes. This paper introduces Laplacian Eigenvector Centrality (LEC), a…

Social and Information Networks · Computer Science 2025-01-22 Koya Shimono , Wataru Tamura

We deal with a general distributed constrained online learning problem with privacy over time-varying networks, where a class of nondecomposable objectives are considered. Under this setting, each node only controls a part of the global…

Optimization and Control · Mathematics 2024-05-28 Huqiang Cheng , Xiaofeng Liao , Huaqing Li

We show theoretically and empirically that the linear Transformer, when applied to graph data, can implement algorithms that solve canonical problems such as electric flow and eigenvector decomposition. The Transformer has access to…

Machine Learning · Computer Science 2025-03-04 Xiang Cheng , Lawrence Carin , Suvrit Sra

Observational data usually comes with a multimodal nature, which means that it can be naturally represented by a multi-layer graph whose layers share the same set of vertices (users) with different edges (pairwise relationships). In this…

Machine Learning · Computer Science 2015-08-31 Xiaowen Dong , Pascal Frossard , Pierre Vandergheynst , Nikolai Nefedov

We address the problem of disentangled representation learning with independent latent factors in graph convolutional networks (GCNs). The current methods usually learn node representation by describing its neighborhood as a perceptual…

Machine Learning · Computer Science 2019-11-27 Yanbei Liu , Xiao Wang , Shu Wu , Zhitao Xiao

Decentralized nonconvex optimization has received increasing attention in recent years in machine learning due to its advantages in system robustness, data privacy, and implementation simplicity. However, three fundamental challenges in…

Machine Learning · Computer Science 2021-05-20 Xin Zhang , Jia Liu , Zhengyuan Zhu , Elizabeth S. Bentley

Valuable training data is often owned by independent organizations and located in multiple data centers. Most deep learning approaches require to centralize the multi-datacenter data for performance purpose. In practice, however, it is…

Machine Learning · Computer Science 2018-10-17 Kele Xu , Haibo Mi , Dawei Feng , Huaimin Wang , Chuan Chen , Zibin Zheng , Xu Lan

Recent developments and emerging use cases, such as smart Internet of Things (IoT) and Edge AI, have sparked considerable interest in the training of neural networks over fully decentralized (serverless) networks. One of the major…

Machine Learning · Computer Science 2025-01-30 Eunjeong Jeong , Marios Kountouris
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