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Biological networks often encapsulate promotion/inhibition as signed edge-weights of a graph. Nodes may correspond to genes assigned expression levels (mass) of respective proteins. The promotion/inhibition nature of co-expression between…

Molecular Networks · Quantitative Biology 2023-08-21 Anqi Dong , Tryphon T. Georgiou , Allen Tannenbaum

The purpose of this work is to develop a framework to calibrate signed datasets so as to be consistent with specified marginals by suitably extending the Schr\"odinger-Fortet-Sinkhorn paradigm. Specifically, we seek to revise…

Machine Learning · Statistics 2023-08-24 Anqi Dong , Tryphon T. Georgiou , Allen Tannenbaum

Recent successes in word embedding and document embedding have motivated researchers to explore similar representations for networks and to use such representations for tasks such as edge prediction, node label prediction, and community…

Machine Learning · Statistics 2019-04-09 Mohammad Raihanul Islam , B. Aditya Prakash , Naren Ramakrishnan

Objective: Modelling the associations from high-throughput experimental molecular data has provided unprecedented insights into biological pathways and signalling mechanisms. Graphical models and networks have especially proven to be useful…

Machine Learning · Statistics 2013-04-24 Marco Scutari , Radhakrishnan Nagarajan

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

Signed graphs are powerful models for representing complex relations with both positive and negative connections. Recently, Signed Graph Neural Networks (SGNNs) have emerged as potent tools for analyzing such graphs. To our knowledge, no…

Machine Learning · Computer Science 2024-11-28 Zeyu Zhang , Lu Li , Xingyu Ji , Kaiqi Zhao , Xiaofeng Zhu , Philip S. Yu , Jiawei Li , Maojun Wang

A weighted directed network (WDN) is a directed graph in which each edge is associated to a unique value called weight. These networks are very suitable for modeling real-world social networks in which there is an assessment of one vertex…

Social and Information Networks · Computer Science 2020-10-01 Dong Quan Ngoc Nguyen , Lin Xing , Lizhen Lin

Given a signed social graph, how can we learn appropriate node representations to infer the signs of missing edges? Signed social graphs have received considerable attention to model trust relationships. Learning node representations is…

Machine Learning · Computer Science 2020-12-29 Jinhong Jung , Jaemin Yoo , U Kang

We analyse signed networks from the perspective of balance theory which predicts structural balance as a global structure for signed social networks that represent groups of friends and enemies. The scarcity of balanced networks encouraged…

Social and Information Networks · Computer Science 2019-01-23 Samin Aref

We propose a custom learning algorithm for shallow over-parameterized neural networks, i.e., networks with single hidden layer having infinite width. The infinite width of the hidden layer serves as an abstraction for the…

Machine Learning · Computer Science 2023-12-19 Alexis Teter , Iman Nodozi , Abhishek Halder

While node semantics have been extensively explored in social networks, little research attention has been paid to profile edge semantics, i.e., social relations. Ideal edge semantics should not only show that two users are connected, but…

Social and Information Networks · Computer Science 2019-11-14 Carl Yang , Jieyu Zhang , Haonan Wang , Sha Li , Myungwan Kim , Matt Walker , Yiou Xiao , Jiawei Han

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Signed directed social networks, in which the relationships between users can be either positive (indicating relations such as trust) or negative (indicating relations such as distrust), are increasingly common. Thus the interplay between…

Social and Information Networks · Computer Science 2014-08-29 Dongjin Song , David A. Meyer

Tie strength prediction, sometimes named weight prediction, is vital in exploring the diversity of connectivity pattern emerged in networks. Due to the fundamental significance, it has drawn much attention in the field of network analysis…

Social and Information Networks · Computer Science 2020-01-16 Zhen Liu , Hu li , Chao Wang

Signed networks contain edge annotations to indicate whether each interaction is friendly (positive edge) or antagonistic (negative edge). The model is simple but powerful and it can capture novel and interesting structural properties of…

Data Structures and Algorithms · Computer Science 2019-10-08 Francesco Bonchi , Edoardo Galimberti , Aristides Gionis , Bruno Ordozgoiti , Giancarlo Ruffo

Substantive research in the Social Sciences regularly investigates signed networks, where edges between actors are either positive or negative. For instance, schoolchildren can be friends or rivals, just as countries can cooperate or fight…

Social and Information Networks · Computer Science 2025-06-18 Cornelius Fritz , Marius Mehrl , Paul W. Thurner , Göran kauermann

Networks are useful representations for complex systems. Especially, heterogeneous and asymmetrical relations commonly found in complex systems can be converted to weighted directed edges between nodes. The disparity filter (Serrano et al.,…

Physics and Society · Physics 2025-11-21 Hyunuk Kim

Erwin Schroedinger posed, and to a large extent solved in 1931/32 the problem of finding the most likely random evolution between two continuous probability distributions. This article considers this problem in the case when only samples of…

Optimization and Control · Mathematics 2018-06-07 Michele Pavon , Esteban G Tabak , Giulio Trigila

Signed networks are frequently observed in real life with additional sign information associated with each edge, yet such information has been largely ignored in existing network models. This paper develops a unified embedding model for…

Social and Information Networks · Computer Science 2023-10-17 Haoran Zhang , Junhui Wang

We study the Schr\"odinger bridge problem when the endpoint distributions are available only through samples. Classical computational approaches estimate Schr\"odinger potentials via Sinkhorn iterations on empirical measures and then…

Machine Learning · Statistics 2026-02-10 Denis Belomestny , Alexey Naumov , Nikita Puchkin , Denis Suchkov
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