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This paper introduces a convex optimization framework for identifying switched network systems, in which both the node dynamics and the underlying graph topology switch between a finite number of configurations. Building on our recent…

Optimization and Control · Mathematics 2025-10-29 Kaito Iwasaki , Anthony Bloch , Maani Ghaffari

Symbolic Regression (SR) is a powerful technique for automatically discovering mathematical expressions from input data. Mainstream SR algorithms search for the optimal symbolic tree in a vast function space, but the increasing complexity…

Machine Learning · Computer Science 2026-02-03 Xinxin Li , Juan Zhang , Da Li , Xingyu Liu , Jin Xu , Junping Yin

Signed networks provide a principled framework for representing systems in which interactions are not merely present or absent but qualitatively distinct: friendly or antagonistic, supportive or conflicting, excitatory or inhibitory. This…

Bipartite networks provide a major insight into the organisation of many real-world systems. One of the most relevant issues encountered when modelling a bipartite network is that of facing the information shortage concerning intra-layer…

Physics and Society · Physics 2025-07-11 Anna Gallo , Fabio Saracco , Tiziano Squartini

Bayesian network structure learning is the notoriously difficult problem of discovering a Bayesian network that optimally represents a given set of training data. In this paper we study the computational worst-case complexity of exact…

Artificial Intelligence · Computer Science 2014-02-05 Sebastian Ordyniak , Stefan Szeider

We address the problem of identifying the topology of an unknown weighted, directed network of LTI systems stimulated by wide-sense stationary noises of unknown power spectral densities. We propose several reconstruction algorithms based on…

Systems and Control · Computer Science 2013-08-13 Shahin Shahrampour , Victor M. Preciado

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

The important task of determining the connectivity of gene networks, and at a more detailed level even the kind of interaction existing between genes, can nowadays be tackled by microarraylike technologies. Yet, there is still a large…

Molecular Networks · Quantitative Biology 2007-06-19 Massimo Pica Ciamarra , Gennaro Miele , Leopoldo Milano , Mario Nicodemi , Giancarlo Raiconi

This paper deals with identifiability of undirected dynamical networks with single-integrator node dynamics. We assume that the graph structure of such networks is known, and aim to find graph-theoretic conditions under which the state…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Neural networks for image recognition have evolved through extensive manual design from simple chain-like models to structures with multiple wiring paths. The success of ResNets and DenseNets is due in large part to their innovative wiring…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Saining Xie , Alexander Kirillov , Ross Girshick , Kaiming He

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

Uncertainty in state or model parameters is common in robotics and typically handled by acquiring system measurements that yield information about the uncertain quantities of interest. Inputs to a nonlinear dynamical system yield outcomes…

Robotics · Computer Science 2023-08-04 Parker Ewen , Gitesh Gunjal , Joey Wilson , Jinsun Liu , Challen Enninful Adu , Ram Vasudevan

Bypass rewiring improves connectivity and robustness of networks against removal of nodes including failures and attacks. A concept of bypass rewiring on directed networks is proposed, and random bypass rewiring on infinite directed random…

Physics and Society · Physics 2017-12-15 Junsang Park , Seungwon Shin , Sang Geun Hahn

Biological systems are driven by intricate interactions among the complex array of molecules that comprise the cell. Many methods have been developed to reconstruct network models of those interactions. These methods often draw on large…

Molecular Networks · Quantitative Biology 2018-06-29 Marieke Lydia Kuijjer , Matthew Tung , GuoCheng Yuan , John Quackenbush , Kimberly Glass

Signed link prediction in graphs is an important problem that has applications in diverse domains. It is a binary classification problem that predicts whether an edge between a pair of nodes is positive or negative. Existing approaches for…

Social and Information Networks · Computer Science 2022-01-19 Roshni Chakraborty , Ritwika Das , Joydeep Chandra

Reverse engineering of complex dynamical networks is important for a variety of fields where uncovering the full topology of unknown networks and estimating parameters characterizing the network structure and dynamical processes are of…

Data Analysis, Statistics and Probability · Physics 2012-12-19 Wen-Xu Wang , Jie Ren , Ying-Cheng Lai , Baowen Li

The chain graph model admits both undirected and directed edges in one graph, where symmetric conditional dependencies are encoded via undirected edges and asymmetric causal relations are encoded via directed edges. Though frequently…

Methodology · Statistics 2024-01-29 Ruixuan Zhao , Haoran Zhang , Junhui Wang

This paper addresses the following question of neural network identifiability: Does the input-output map realized by a feed-forward neural network with respect to a given nonlinearity uniquely specify the network architecture, weights, and…

Combinatorics · Mathematics 2020-09-03 Verner Vlačić , Helmut Bölcskei

A signed network is a network with each link associated with a positive or negative sign. Models for nodes interacting over such signed networks, where two different types of interactions take place along the positive and negative links,…

Social and Information Networks · Computer Science 2018-11-14 Guodong Shi , Claudio Altafini , John S. Baras

In this paper, we consider the problem of inferring the sign of a link based on limited sign data in signed networks. Regarding this link sign prediction problem, SDGNN (Signed Directed Graph Neural Networks) provides the best prediction…

Machine Learning · Computer Science 2023-05-18 Zhihong Fang , Shaolin Tan , Yaonan Wang