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We consider the distributed learning problem where a network of $n$ agents seeks to minimize a global function $F$. Agents have access to $F$ through noisy gradients, and they can locally communicate with their neighbors a network. We study…

Machine Learning · Computer Science 2020-11-09 Tiancheng Qin , S. Rasoul Etesami , César A. Uribe

Many machine learning algorithms have been developed under the assumption that data sets are already available in batch form. Yet in many application domains data is only available sequentially overtime via compute nodes in different…

Optimization and Control · Mathematics 2020-09-10 Alfredo Garcia , Luochao Wang , Jeff Huang , Lingzhou Hong

Machine learning (ML) tasks are becoming ubiquitous in today's network applications. Federated learning has emerged recently as a technique for training ML models at the network edge by leveraging processing capabilities across the nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-26 Seyyedali Hosseinalipour , Christopher G. Brinton , Vaneet Aggarwal , Huaiyu Dai , Mung Chiang

Arc-based traffic assignment models (TAMs) are a popular framework for modeling traffic network congestion generated by self-interested travelers who sequentially select arcs based on their perceived latency on the network. However,…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Chih-Yuan Chiu , Chinmay Maheshwari , Pan-Yang Su , Shankar Sastry

Directed acyclic graphical models (DAGs) are often used to describe common structural properties in a family of probability distributions. This paper addresses the question of classifying DAGs up to an isomorphism. By considering Gaussian…

Information Theory · Computer Science 2014-12-24 Hajir Roozbehani , Yury Polyanskiy

Diffusion-based classifiers such as those relying on the Personalized PageRank and the Heat kernel, enjoy remarkable classification accuracy at modest computational requirements. Their performance however is affected by the extent to which…

Machine Learning · Statistics 2019-02-20 Dimitris Berberidis , Athanasios N. Nikolakopoulos , Georgios B. Giannakis

This work proposes a decentralized architecture, where individual agents aim at solving a classification problem while observing streaming features of different dimensions and arising from possibly different distributions. In the context of…

Machine Learning · Computer Science 2022-12-27 Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

Optimization and Control · Mathematics 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu

Federated Graph Learning (FGL) has garnered widespread attention by enabling collaborative training on multiple clients for semi-supervised classification tasks. However, most existing FGL studies do not well consider the missing…

Machine Learning · Computer Science 2024-07-17 Luying Zhong , Yueyang Pi , Zheyi Chen , Zhengxin Yu , Wang Miao , Xing Chen , Geyong Min

We introduce a novel class of labeled directed acyclic graph (LDAG) models for finite sets of discrete variables. LDAGs generalize earlier proposals for allowing local structures in the conditional probability distribution of a node, such…

Machine Learning · Statistics 2014-11-12 Johan Pensar , Henrik Nyman , Timo Koski , Jukka Corander

The heterogeneous network is a robust data abstraction that can model entities of different types interacting in various ways. Such heterogeneity brings rich semantic information but presents nontrivial challenges in aggregating the…

Machine Learning · Computer Science 2020-09-18 Nhat Tran , Jean Gao

In this paper, we introduce a novel MCMC sampler, PARNI-DAG, for a fully-Bayesian approach to the problem of structure learning under observational data. Under the assumption of causal sufficiency, the algorithm allows for approximate…

Machine Learning · Computer Science 2023-11-02 Alberto Caron , Xitong Liang , Samuel Livingstone , Jim Griffin

Aggregating signals from a collection of noisy sources is a fundamental problem in many domains including crowd-sourcing, multi-agent planning, sensor networks, signal processing, voting, ensemble learning, and federated learning. The core…

Machine Learning · Computer Science 2022-06-07 Ben Abramowitz , Nicholas Mattei

Despite several advances in recent years, learning causal structures represented by directed acyclic graphs (DAGs) remains a challenging task in high dimensional settings when the graphs to be learned are not sparse. In this paper, we…

Machine Learning · Computer Science 2023-05-16 Zhuangyan Fang , Shengyu Zhu , Jiji Zhang , Yue Liu , Zhitang Chen , Yangbo He

Estimating a directed acyclic graph (DAG) from observational data represents a canonical learning problem and has generated a lot of interest in recent years. Research has focused mostly on the following two cases: when no information…

Applications · Statistics 2019-02-15 Syed Rahman , Kshitij Khare , George Michailidis , Carlos Martinez , Juan Carulla

In recent years, Dynamic Graph (DG) representations have been increasingly used for modeling dynamic systems due to their ability to integrate both topological and temporal information in a compact representation. Dynamic graphs allow to…

Machine Learning · Computer Science 2023-04-13 Leshanshui Yang , Sébastien Adam , Clément Chatelain

The displayed tree phylogenetic network model is shown to sit as a natural submodel of the graphical model associated to a directed acyclic graph (DAG). This representation allows to derive a number of results about the displayed tree…

Populations and Evolution · Quantitative Biology 2025-08-01 Seth Sullivant

Causal interactions among a group of variables are often modeled by a single causal graph. In some domains, however, these interactions are best described by multiple co-existing causal graphs, e.g., in dynamical systems or genomics. This…

Machine Learning · Computer Science 2024-12-04 Burak Varıcı , Dmitriy Katz-Rogozhnikov , Dennis Wei , Prasanna Sattigeri , Ali Tajer

The problem of finding an ancestral acyclic directed mixed graph (ADMG) that represents the causal relationships between a set of variables is an important area of research on causal inference. Most existing score-based structure learning…

Machine Learning · Computer Science 2021-10-11 Rui Chen , Sanjeeb Dash , Tian Gao
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