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An efficient structural identifiability analysis algorithm is developed in this study for a broad range of network structures. The proposed method adopts the Wright's path coefficient method to generate identifiability equations in forms of…

Molecular Networks · Quantitative Biology 2017-08-25 Yulin Wang , Na Lu , Hongyu Miao

In this work, we study the identifiability of network structures (i.e., topologies) for networked nonlinear systems when partial measurements of the nodal dynamics are taken. We explore scenarios where different candidate structures can…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Jaidev Gill , Jing Shuang Li

Restricted latent class models (RLCMs) have recently gained prominence in educational assessment, psychiatric evaluation, and medical diagnosis. Different from conventional latent class models, restrictions on the RLCM model parameters are…

Statistics Theory · Mathematics 2019-04-09 Yuqi Gu , Gongjun Xu

Nonlinear system identification often involves a fundamental trade-off between interpretability and flexibility, often requiring the incorporation of physical constraints. We propose a unified data-driven framework that combines the…

Machine Learning · Computer Science 2025-09-16 Federico J. Gonzalez , Luis P. Lara

An important problem in biological modeling is choosing the right model. Given experimental data, one is supposed to find the best mathematical representation to describe the real-world phenomena. However, there may not be a unique model…

Dynamical Systems · Mathematics 2024-07-03 Cashous Bortner , Nicolette Meshkat

Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of…

Optimization and Control · Mathematics 2011-02-21 Hongwei Lou

We study modeling and identification of stationary processes with a spectral density matrix of low rank. Equivalently, we consider processes having an innovation of reduced dimension for which Prediction Error Methods (PEM) algorithms are…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Wenqi Cao , Giorgio Picci , Anders Lindquist

Linear parameter-varying (LPV) models form a powerful model class to analyze and control a (nonlinear) system of interest. Identifying a LPV model of a nonlinear system can be challenging due to the difficulty of selecting the scheduling…

Systems and Control · Computer Science 2020-05-11 Maarten Schoukens , Roland Tóth

Structural equation models are multivariate statistical models that are defined by specifying noisy functional relationships among random variables. We consider the classical case of linear relationships and additive Gaussian noise terms.…

Statistics Theory · Mathematics 2011-05-16 Mathias Drton , Rina Foygel , Seth Sullivant

Selecting the latent dimensions (ranks) in tensor factorization is a central challenge that often relies on heuristic methods. This paper introduces a rigorous approach to determine rank identifiability in probabilistic tensor models, based…

Machine Learning · Computer Science 2026-04-03 Eliezer da Silva , Arto Klami , Diego Mesquita , Iñigo Urteaga

Structural identifiability is a property of a differential model with parameters that allows for the parameters to be determined from the model equations in the absence of noise. The method of input-output equations is one method for…

Dynamical Systems · Mathematics 2022-01-28 Alexey Ovchinnikov , Gleb Pogudin , Peter Thompson

In several model-based system maintenance problems, parameters are used to represent unknown characteristics of a component, equipment degradation, etc. This allows for modelling constant, slow-varying terms. The identifiability of these…

Optimization and Control · Mathematics 2020-03-24 Krishnan Srinivasarengan , José Ragot , Christophe Aubrun , Didier Maquin

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that…

Systems and Control · Computer Science 2017-03-23 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

In this paper we investigate the affect of various acceptance conditions on recogniser membrane systems without dissolution. We demonstrate that two particular acceptance conditions (one easier to program, the other easier to prove…

Computational Complexity · Computer Science 2009-06-19 Niall Murphy , Damien Woods

In 1990 Subramanian defined the complexity class CC as the set of problems log-space reducible to the comparator circuit value problem (CCV). He and Mayr showed that NL \subseteq CC \subseteq P, and proved that in addition to CCV several…

Computational Complexity · Computer Science 2013-07-29 Stephen A. Cook , Yuval Filmus , Dai Tri Man Le

A tacit assumption in classical linear regression problems is the full knowledge of the existing link between the covariates and responses. In Unlinked Linear Regression (ULR) this link is either partially or completely missing. While the…

Statistics Theory · Mathematics 2025-07-22 Fadoua Balabdaoui , Martin Slawski , Jonathan Steffani

A new analytical framework consisting of two phenomena: single sample and multiple samples, is proposed to deal with the identification problem of Boolean control networks (BCNs) systematically and comprehensively. Under this framework, the…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Biao Wang , Jun-e Feng , Daizhan Cheng

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

Methodology · Statistics 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

Statistics Theory · Mathematics 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

It is a significant and longstanding puzzle that the resistor, inductor, capacitor (RLC) networks obtained by the established RLC realization procedures appear highly non-minimal from the perspective of linear systems theory. Specifically,…

Systems and Control · Computer Science 2018-01-24 Timothy H. Hughes