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A table arranging data in rows and columns is a very effective data structure, which has been widely used in business and scientific research. Considering large-scale tabular data in online and offline documents, automatic table recognition…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Wenyuan Xue , Baosheng Yu , Wen Wang , Dacheng Tao , Qingyong Li

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

Leadership plays a key role in social animals, including humans, decision-making and coalescence in coordinated activities such as hunting, migration, sport, diplomatic negotiation etc. In these coordinated activities, leadership is a…

Social and Information Networks · Computer Science 2021-04-07 Chainarong Amornbunchornvej , Tanya Berger-Wolf

The specific connectivity of a neuronal network is reflected in the dynamics of the signals recorded on its nodes. The analysis of how the activity in one node predicts the behaviour of another gives the directionality in their…

Quantitative Methods · Quantitative Biology 2019-11-21 Víctor J. López-Madrona , Fernanda Matias , Claudio Mirasso , Santiago Canals , Ernesto Pereda

In the age of social computing, finding interesting network patterns or motifs is significant and critical for various areas such as decision intelligence, intrusion detection, medical diagnosis, social network analysis, fake news…

Social and Information Networks · Computer Science 2022-04-07 Shuo Yu , Feng Xia , Yuchen Sun , Tao Tang , Xiaoran Yan , Ivan Lee

This paper proposes a Matrix Error Correction Model to identify cointegration relations in matrix-valued time series. We hereby allow separate cointegrating relations along the rows and columns of the matrix-valued time series and use…

Econometrics · Economics 2025-01-27 Alain Hecq , Ivan Ricardo , Ines Wilms

Existing research infrastructure is fundamentally document-centric, providing citation links between papers but lacking explicit representations of methodological evolution. In particular, it does not capture the structured relationships…

Artificial Intelligence · Computer Science 2026-05-04 Yujun Wu , Dongxu Zhang , Xinchen Li , Jinhang Xu , Yiling Duan , Yumou Liu , Jiabao Pan , Qiyuan Zhu , Xuanhe Zhou , Jingxuan Wei , Siyuan Li , Jintao Chen , Conghui He , Cheng Tan

Learning graphs from sets of nodal observations represents a prominent problem formally known as graph topology inference. However, current approaches are limited by typically focusing on inferring single networks, and they assume that…

Social and Information Networks · Computer Science 2021-11-17 Samuel Rey , Andrei Buciulea , Madeline Navarro , Santiago Segarra , Antonio G. Marques

Network topology inference is a prominent problem in Network Science. Most graph signal processing (GSP) efforts to date assume that the underlying network is known, and then analyze how the graph's algebraic and spectral characteristics…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Gonzalo Mateos , Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro

Traditional model-based diagnosis relies on constructing explicit system models, a process that can be laborious and expertise-demanding. In this paper, we propose a novel framework that combines concepts of model-based diagnosis with deep…

Artificial Intelligence · Computer Science 2023-10-11 Jan Lukas Augustin , Oliver Niggemann

Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Valentina Shumovskaia , Konstantinos Ntemos , Stefan Vlaski , Ali H. Sayed

Network reconstruction is the task of inferring the unseen interactions between elements of a system, based only on their behavior or dynamics. This inverse problem is in general ill-posed, and admits many solutions for the same…

Machine Learning · Statistics 2025-03-12 Tiago P. Peixoto

With the increasing availability and size of multi-omics datasets, investigating the casual relationships between molecular phenotypes has become an important aspect of exploring underlying biology and genetics. This paper aims to introduce…

Molecular Networks · Quantitative Biology 2022-01-31 Jack Kelly , Carlo Berzuini , Bernard Keavney , Maciej Tomaszewski , Hui Guo

A time-invariant, linear, distributed observer is described for estimating the state of an $m>0$ channel, $n$-dimensional continuous-time linear system of the form $ \dot{x} = Ax,\ y_i = C_i x,\ i \in \{1,2,\cdots, m\}$. The state $x$ is…

Systems and Control · Computer Science 2020-03-16 L. Wang , A. S. Morse

A framework to analyze inference performance in densely connected single-layer feed-forward networks is developed for situations where a given data set is composed of correlated patterns. The framework is based on the assumption that the…

Information Theory · Computer Science 2009-11-13 Yoshiyuki Kabashima

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

Latent factor models are increasingly popular for modeling multi-relational knowledge graphs. By their vectorial nature, it is not only hard to interpret why this class of models works so well, but also to understand where they fail and how…

Machine Learning · Computer Science 2017-09-19 Théo Trouillon , Éric Gaussier , Christopher R. Dance , Guillaume Bouchard

We analyze large-scale data sets about collaborations from two different domains: economics, specifically 22.000 R&D alliances between 14.500 firms, and science, specifically 300.000 co-authorship relations between 95.000 scientists.…

Physics and Society · Physics 2017-09-25 Mario V. Tomasello , Giacomo Vaccario , Frank Schweitzer

Graph matching pairs corresponding nodes across two or more graphs. The problem is difficult as it is hard to capture the structural similarity across graphs, especially on large graphs. We propose to incorporate high-order information for…

Artificial Intelligence · Computer Science 2020-10-12 Hui Xu , Liyao Xiang , Youmin Le , Xiaoying Gan , Yuting Jia , Luoyi Fu , Xinbing Wang

Operators are induced on fermion and zeon algebras by the action of adjacency matrices and combinatorial Laplacians on the vector spaces spanned by the graph's vertices. Properties of the algebras automatically give information about the…

Combinatorics · Mathematics 2021-03-31 G. Stacey Staples
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