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We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output…

代数几何 · 数学 2021-09-01 Cashous Bortner , Nicolette Meshkat

Graph signal processing represents an important advancement in the field of data analysis, extending conventional signal processing methodologies to complex networks and thereby facilitating the exploration of informative patterns and…

信号处理 · 电气工程与系统科学 2024-06-07 Keivan Faghih Niresi , Lucas Kuhn , Gaëtan Frusque , Olga Fink

In this paper, the possibility of detecting topological variations by observing output trajectories from networked linear time-invariant systems is investigated, where the network topology can be general, but the nodes have identical…

最优化与控制 · 数学 2022-06-16 Yuqing Hao , Qingyun Wang , Zhisheng Duan , Guanrong Chen

This paper provides a necessary and sufficient condition for a random network with nodes Poissonly distributed on a unit square and a pair of nodes directly connected following a generic random connection model to be asymptotically almost…

网络与互联网体系结构 · 计算机科学 2012-10-05 Guoqiang Mao , Brian Do Anderson

Network topology inference is a cornerstone problem in statistical analyses of complex systems. In this context, the fresh look advocated here permeates benefits from convex optimization and graph signal processing, to identify the…

社会与信息网络 · 计算机科学 2016-04-12 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Identifying networks with similar characteristics in a given ensemble, or detecting pattern discontinuities in a temporal sequence of networks, are two examples of tasks that require an effective metric capable of quantifying network…

社会与信息网络 · 计算机科学 2023-09-07 Carlo Piccardi

As a quantification of the main bottleneck to flow over a graph, the network property of conductance plays an important role in the process of synchronization of network-coupled dynamical systems. Diffusive coupling terms serve not only to…

物理与社会 · 物理学 2025-10-29 C. Tyler Diggans

Temporal Graph Networks (TGNs) have demonstrated significant success in dynamic graph tasks such as link prediction and node classification. Both tasks comprise transductive settings, where the model predicts links among known nodes, and in…

机器学习 · 计算机科学 2025-04-16 Jiafeng Xiong , Rizos Sakellariou

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

混沌动力学 · 物理学 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier

A linear structural equation model relates random variables of interest and corresponding Gaussian noise terms via a linear equation system. Each such model can be represented by a mixed graph in which directed edges encode the linear…

统计理论 · 数学 2012-10-04 Rina Foygel , Jan Draisma , Mathias Drton

An important problem in network analysis is predicting a node attribute using both network covariates, such as graph embedding coordinates or local subgraph counts, and conventional node covariates, such as demographic characteristics.…

统计方法学 · 统计学 2023-02-24 Robert Lunde , Elizaveta Levina , Ji Zhu

Node features bolster graph-based learning when exploited jointly with network structure. However, a lack of nodal attributes is prevalent in graph data. We present a framework to recover completely missing node features for a set of…

机器学习 · 计算机科学 2023-09-19 Victor M. Tenorio , Madeline Navarro , Santiago Segarra , Antonio G. Marques

Complex networks, modeled as large graphs, received much attention during these last years. However, data on such networks is only available through intricate measurement procedures. Until recently, most studies assumed that these…

网络与互联网体系结构 · 计算机科学 2007-05-23 Matthieu Latapy , Clemence Magnien

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

机器学习 · 统计学 2022-12-21 Madeline Navarro , Santiago Segarra

We investigate the increasingly prominent task of jointly inferring multiple networks from nodal observations. While most joint inference methods assume that observations are available at all nodes, we consider the realistic and more…

信号处理 · 电气工程与系统科学 2025-12-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

This paper presents a locally decoupled network parameter learning with local propagation. Three elements are taken into account: (i) sets of nonlinear transforms that describe the representations at all nodes, (ii) a local objective at…

机器学习 · 计算机科学 2018-05-22 Dimche Kostadinov , Behrooz Razeghi , Sohrab Ferdowsi , Slava Voloshynovskiy

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

信号处理 · 电气工程与系统科学 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

A network provides powerful means of representing complex relationships between entities by abstracting entities as vertices, and relationships as edges connecting vertices in a graph. Beyond the presence or absence of relationships, a…

社会与信息网络 · 计算机科学 2020-01-15 Isuru Udayangani Hewapathirana

A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local interactions that give rise to an observed global…

适应与自组织系统 · 物理学 2016-06-28 H. Silk , M. Homer , T. Gross

We study parameter identifiability of directed Gaussian graphical models with one latent variable. In the scenario we consider, the latent variable is a confounder that forms a source node of the graph and is a parent to all other nodes,…

统计理论 · 数学 2015-05-08 Dennis Leung , Mathias Drton , Hisayuki Hara