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Link prediction is an elemental challenge in network science, which has already found applications in guiding laboratorial experiments, digging out drug targets, recommending friends in social networks, probing mechanisms in network…

Physics and Society · Physics 2019-06-26 Ratha Pech , Dong Hao , Yan-Li Lee , Ye Yuan , Tao Zhou

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

For subspace recovery, most existing low-rank representation (LRR) models performs in the original space in single-layer mode. As such, the deep hierarchical information cannot be learned, which may result in inaccurate recoveries for…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Xianzhen Li , Zhao Zhang , Yang Wang , Guangcan Liu , Shuicheng Yan , Meng Wang

Networks offer a powerful approach to modeling complex systems by representing the underlying set of pairwise interactions. Link prediction is the task that predicts links of a network that are not directly visible, with profound…

Physics and Society · Physics 2024-04-22 Yijun Ran , Xiao-Ke Xu , Tao Jia

In this work we propose lifted regression/reconstruction networks (LRRNs), which combine lifted neural networks with a guaranteed Lipschitz continuity property for the output layer. Lifted neural networks explicitly optimize an energy model…

Machine Learning · Computer Science 2020-05-08 Rasmus Kjær Høier , Christopher Zach

Graph neural networks have gained prominence due to their excellent performance in many classification and prediction tasks. In particular, they are used for node classification and link prediction which have a wide range of applications in…

Machine Learning · Computer Science 2022-02-09 Cenk Baykal , Vamsi K. Potluru , Sameena Shah , Manuela M. Veloso

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

We discuss a new neural network-based direction of arrival estimation scheme that tackles the estimation task as a multidimensional classification problem. The proposed estimator uses a classification chain with as many stages as the number…

Signal Processing · Electrical Eng. & Systems 2022-03-25 Andreas Barthelme , Wolfgang Utschick

Relational data are ubiquitous in real-world data applications, e.g., in social network analysis or biological modeling, but networks are nearly always incompletely observed. The state-of-the-art for predicting missing links in the hard…

Machine Learning · Computer Science 2025-08-13 Bisman Singh , Lucy Van Kleunen , Aaron Clauset

Dynamic multilayer networks frequently represent the structure of multiple co-evolving relations; however, statistical models are not well-developed for this prevalent network type. Here, we propose a new latent space model for dynamic…

Methodology · Statistics 2021-03-25 Joshua Daniel Loyal , Yuguo Chen

The interactions among the elementary components of many complex systems can be qualitatively different. Such systems are therefore naturally described in terms of multiplex or multi-layer networks, i.e. networks where each layer stands for…

Physics and Society · Physics 2015-09-15 Vincenzo Nicosia , Vito Latora

The remarkable capabilities of Large Language Models (LLMs) are overshadowed by their immense computational cost. While recent work has shown that many LLM layers can be reordered or even removed with minimal impact on accuracy, these…

Machine Learning · Computer Science 2026-01-07 Ramón Calvo González , Daniele Paliotta , Matteo Pagliardini , Martin Jaggi , François Fleuret

Multiplex networks are networks composed of multiple layers such that the number of nodes in all layers is the same and the adjacency matrices between the layers are diagonal. We consider the special class of multiplex networks where the…

Adaptation and Self-Organizing Systems · Physics 2021-06-25 Rico Berner , Volker Mehrmann , Eckehard Schöll , Serhiy Yanchuk

Online users are typically active on multiple social media networks (SMNs), which constitute a multiplex social network. It is becoming increasingly challenging to determine whether given accounts on different SMNs belong to the same user;…

Physics and Society · Physics 2021-11-10 Rui Tang , Zhenxiong Miao , Shuyu Jiang , Xingshu Chen , Haizhou Wang , Wei Wang

We address the problem of recovering multiple structures of different classes in a dataset contaminated by noise and outliers. In particular, we consider geometric structures defined by a mixture of underlying parametric models (e.g. planes…

Machine Learning · Computer Science 2025-05-19 Luca Magri , Filippo Leveni , Giacomo Boracchi

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

The performance of Maximum a posteriori (MAP) estimation is studied analytically for binary symmetric multi-channel Hidden Markov processes. We reduce the estimation problem to a 1D Ising spin model and define order parameters that…

Statistical Mechanics · Physics 2015-06-11 Avik Halder , Ansuman Adhikary

Much of social network analysis is - implicitly or explicitly - predicated on the assumption that individuals tend to be more similar to their friends than to strangers. Thus, an observed social network provides a noisy signal about the…

Social and Information Networks · Computer Science 2014-08-18 Ittai Abraham , Shiri Chechik , David Kempe , Aleksandrs Slivkins

Socio-technical systems usually consists of many intertwined networks, each connecting different types of objects (or actors) through a variety of means. As these networks are co-dependent, one can take advantage of this entangled structure…

Social and Information Networks · Computer Science 2019-06-28 Hong-Lan Botterman , Robin Lamarche-Perrin

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza
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