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We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

Optimization and Control · Mathematics 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

Understanding human motion behaviour is a critical task for several possible applications like self-driving cars or social robots, and in general for all those settings where an autonomous agent has to navigate inside a human-centric…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Alessio Monti , Alessia Bertugli , Simone Calderara , Rita Cucchiara

Semi-supervised learning on graphs is a widely applicable problem in network science and machine learning. Two standard algorithms -- label propagation and graph neural networks -- both operate by repeatedly passing information along edges,…

Machine Learning · Computer Science 2021-02-02 Junteng Jia , Austin R. Benson

In this paper, we tackle structure learning of Directed Acyclic Graphs (DAGs), with the idea of exploiting available prior knowledge of the domain at hand to guide the search of the best structure. In particular, we assume to know the…

Methodology · Statistics 2024-01-19 Thi Kim Hue Nguyen , Monica Chiogna , Davide Risso , Erika Banzato

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

Machine Learning · Computer Science 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

In this paper, we study the problem of using representation learning to assist information diffusion prediction on graphs. In particular, we aim at estimating the probability of an inactive node to be activated next in a cascade. Despite…

Machine Learning · Computer Science 2017-12-01 Jia Wang , Vincent W. Zheng , Zemin Liu , Kevin Chen-Chuan Chang

We establish a new framework for statistical estimation of directed acyclic graphs (DAGs) when data are generated from a linear, possibly non-Gaussian structural equation model. Our framework consists of two parts: (1) inferring the…

Machine Learning · Statistics 2013-11-15 Po-Ling Loh , Peter Bühlmann

Graph neural networks have shown significant success in the field of graph representation learning. Graph convolutions perform neighborhood aggregation and represent one of the most important graph operations. Nevertheless, one layer of…

Machine Learning · Computer Science 2020-07-21 Meng Liu , Hongyang Gao , Shuiwang Ji

Graph neural networks (GNNs) learn the representation of graph-structured data, and their expressiveness can be further enhanced by inferring node relations for propagation. Attention-based GNNs infer neighbor importance to manipulate the…

Machine Learning · Computer Science 2023-06-06 Soo Yong Lee , Fanchen Bu , Jaemin Yoo , Kijung Shin

The combinatorial problem of learning directed acyclic graphs (DAGs) from data was recently framed as a purely continuous optimization problem by leveraging a differentiable acyclicity characterization of DAGs based on the trace of a matrix…

Machine Learning · Computer Science 2023-01-18 Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Capturing the underlying structural causal relations represented by Directed Acyclic Graphs (DAGs) has been a fundamental task in various AI disciplines. Causal DAG learning via the continuous optimization framework has recently achieved…

Machine Learning · Computer Science 2024-06-11 Naiyu Yin , Tian Gao , Yue Yu , Qiang Ji

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

Machine Learning · Computer Science 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

Learning the structure of dependence relations between variables is a pervasive issue in the statistical literature. A directed acyclic graph (DAG) can represent a set of conditional independences, but different DAGs may encode the same set…

Methodology · Statistics 2021-02-15 Federico Castelletti , Stefano Peluso

We consider the problem of learning a set of direct causes of a target variable from an observational joint distribution. Learning directed acyclic graphs (DAGs) that represent the causal structure is a fundamental problem in science.…

Methodology · Statistics 2025-06-24 Juraj Bodik , Valérie Chavez-Demoulin

Effective information analysis generally boils down to properly identifying the structure or geometry of the data, which is often represented by a graph. In some applications, this structure may be partly determined by design constraints or…

Machine Learning · Computer Science 2016-11-07 Dorina Thanou , Xiaowen Dong , Daniel Kressner , Pascal Frossard

We give methods for Bayesian inference of directed acyclic graphs, DAGs, and the induced causal effects from passively observed complete data. Our methods build on a recent Markov chain Monte Carlo scheme for learning Bayesian networks,…

Machine Learning · Computer Science 2020-11-19 Jussi Viinikka , Antti Hyttinen , Johan Pensar , Mikko Koivisto

Distributed ledgers, including blockchain and other decentralized databases, are designed to store information online where all trusted network members can update the data with transparency. The dynamics of ledger's development can be…

Probability · Mathematics 2026-03-10 Jiewei Feng , Christopher King

With the growing adoption of AI-based systems across everyday life, the need to understand their decision-making mechanisms is correspondingly increasing. The level at which we can trust the statistical inferences made from AI-based…

Machine Learning · Statistics 2024-04-15 Adam Spannaus , Heidi A. Hanson , Lynne Penberthy , Georgia Tourassi

We study feature propagation on graph, an inference process involved in graph representation learning tasks. It's to spread the features over the whole graph to the $t$-th orders, thus to expand the end's features. The process has been…

Social and Information Networks · Computer Science 2018-04-18 Biao Xiang , Ziqi Liu , Jun Zhou , Xiaolong Li

Graph representation learning has become a hot research topic due to its powerful nonlinear fitting capability in extracting representative node embeddings. However, for sequential data such as speech signals, most traditional methods…

Sound · Computer Science 2024-05-08 Yingxue Gao , Huan Zhao , Zixing Zhang