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We analyze the identifiability of directed acyclic graphs in the case of partial excitation and measurement. We consider an additive model where the nonlinear functions located in the edges depend only on a past input, and we analyze the…

最优化与控制 · 数学 2024-09-06 Renato Vizuete , Julien M. Hendrickx

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. In particular, we are interested in…

最优化与控制 · 数学 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

We derive conditions for the identifiability of nonlinear networks characterized by additive dynamics at the level of the edges when all the nodes are excited. In contrast to linear systems, we show that the measurement of all sinks is…

最优化与控制 · 数学 2025-05-30 Renato Vizuete , Julien M. Hendrickx

We analyze the problem of network identifiability with nonlinear functions associated with the edges. We consider a static model for the output of each node and by assuming a perfect identification of the function associated with the…

最优化与控制 · 数学 2023-09-14 Renato Vizuete , Julien M. Hendrickx

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are…

最优化与控制 · 数学 2021-10-04 Antoine Legat , Julien M. Hendrickx

We propose a method to identify nonlinear acyclic networks in continuous time when the dynamics are located on the edges and all the nodes are excited. We show that it is necessary and sufficient to measure all the sinks to identify any…

最优化与控制 · 数学 2026-03-05 Ramachandran Anantharaman , Renato Vizuete , Julien M. Hendrickx , Alexandre Mauroy

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. We are interested in graph-theoretic conditions…

最优化与控制 · 数学 2019-12-02 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

We study the identifiability of nonlinear network systems with partial excitation and partial measurement when the network dynamics is linear on the edges and nonlinear on the nodes. We assume that the graph topology and the nonlinear…

最优化与控制 · 数学 2025-05-21 Martina Vanelli , Julien M. Hendrickx

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…

最优化与控制 · 数学 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Identifiability conditions for single or multiple modules in a dynamic network specify under which conditions the considered modules can be uniquely recovered from the second-order statistical properties of the measured signals. Conditions…

系统与控制 · 电气工程与系统科学 2021-10-28 Shengling Shi , Xiaodong Cheng , Paul M. J. Van den Hof

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear time-invariant transfer functions and are possibly excited by known external excitation signals and/or…

最优化与控制 · 数学 2017-09-14 Alexandre S. Bazanella , Michel Gevers , Julien M. Hendrickx , Adriane Parraga

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear transfer functions and are excited by known external excitation signals and/or unknown noise signals. A…

最优化与控制 · 数学 2018-03-18 Julien M. Hendrickx , Michel Gevers , Alexandre S. Bazanella

This paper deals with dynamic networks in which the causality relations between the vertex signals are represented by linear time-invariant transfer functions (modules). Considering an acyclic network where only a subset of its vertices are…

最优化与控制 · 数学 2024-04-08 Xiaodong Cheng , Shengling Shi , Ioannis Lestas , Paul M. J. Van den Hof

This paper considers dynamic networks where vertices and edges represent manifest signals and causal dependencies among the signals, respectively. We address the problem of how to determine if the dynamics of a network can be identified…

最优化与控制 · 数学 2021-05-10 Xiaodong Cheng , Shengling Shi , Ioannis Lestas , Paul M. J. Van den Hof

A recent research direction in data-driven modeling is the identification of dynamic networks, in which measured vertex signals are interconnected by dynamic edges represented by causal linear transfer functions. The major question…

最优化与控制 · 数学 2021-02-16 Xiaodong Cheng , Shengling Shi , Paul M. J. Van den Hof

In this paper we present a sufficient condition that guarantees identifiability of linear network dynamic systems exhibiting continuous-time weighted consensus protocols with acyclic structure. Each edge of the underlying network graph…

系统与控制 · 计算机科学 2014-12-03 Seyedbehzad Nabavi , Aranya Chakrabortty , Pramod P. Khargonekar

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are…

最优化与控制 · 数学 2023-09-27 Antoine Legat , Julien M. Hendrickx

We study identification and inference in nonlinear dynamic systems defined on unknown interaction networks. The system evolves through an unobserved dependence matrix governing cross-sectional shock propagation via a nonlinear operator. We…

机器学习 · 统计学 2026-04-08 Diego Vallarino

Identifiability of parameters is an essential property for a statistical model to be useful in most settings. However, establishing parameter identifiability for Bayesian networks with hidden variables remains challenging. In the context of…

统计理论 · 数学 2014-06-04 Elizabeth S. Allman , John A. Rhodes , Elena Stanghellini , Marco Valtorta

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

统计方法学 · 统计学 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami
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